= 915*z + 326*z - 792. Factor 2*t**3 - 13/3*t**2 - 1/3*t**4 + z*t - 4/3.
-(t - 2)**2*(t - 1)**2/3
Suppose -107 = -3*i + v, -2*v + 45 - 61 = 0. Let m(a) be the second derivative of 1/100*a**5 + 3/10*a**2 - 1/6*a**3 + i*a + 1/60*a**4 + 0. Factor m(g).
(g - 1)**2*(g + 3)/5
Suppose 2*m + 3*m = 3*j - 20, m - 2*j + 18 = 0. Suppose 72/5*d + 18/5*d**3 - 56/5*d**m - 2/5*d**4 - 32/5 = 0. What is d?
1, 2, 4
Let g(c) be the second derivative of -c**6/45 + 109*c**5/30 - 6*c**4 - 4*c + 1973. Determine h, given that g(h) = 0.
0, 1, 108
Factor -1/3*v**3 - 165*v + 64/3*v**2 + 0.
-v*(v - 55)*(v - 9)/3
Let l(g) be the second derivative of 1/80*g**5 - 18*g**2 + 12*g + 5*g**3 + 23/48*g**4 + 0. Factor l(w).
(w - 1)*(w + 12)**2/4
Let a be (10 - -8 - 20)*-2. Let o(j) be the second derivative of 0 - 10/3*j**3 - 1/3*j**a - 33*j + 0*j**2. Factor o(c).
-4*c*(c + 5)
Let f(o) = 2*o**2 + 32*o + 6. Let u be f(-16). Let t be u/(-4)*26/(-273). Factor -6/7*h - 9/7 - t*h**2.
-(h + 3)**2/7
Suppose 1404*s - 1409*s + 10 = 0. Factor y + 369*y**2 - 186*y**s - 184*y**2.
-y*(y - 1)
Factor 14*i**2 - 144/5 + 2/5*i**3 - 76/5*i.
2*(i - 2)*(i + 1)*(i + 36)/5
Let m = -216413/9 - -24046. Factor -1/9*y**3 + 1/9*y**5 + m*y**2 + 0 + 0*y - 1/9*y**4.
y**2*(y - 1)**2*(y + 1)/9
Let n(k) be the second derivative of -11/10*k**3 + 0*k**2 - 83*k - 1/20*k**4 + 0. Solve n(t) = 0.
-11, 0
Let s be 7/(231/90)*(-64)/96. Let b = 73/22 + s. Factor -3*o - b*o**2 + 3/4*o**3 + 6.
3*(o - 2)**2*(o + 2)/4
Let q(w) be the first derivative of w**6/9 - 11*w**4/3 - 16*w**3/3 + 15*w**2 - 6920. Let q(s) = 0. What is s?
-3, 0, 1, 5
Let y(a) be the second derivative of a**5/15 - a**4/3 - 20*a**3/9 + 1229*a. What is j in y(j) = 0?
-2, 0, 5
Let n(h) be the third derivative of 1/15*h**4 + 0*h + 17/150*h**7 - 11/75*h**5 + 3/100*h**6 + 0 + 7/240*h**8 + 0*h**3 - 39*h**2. Solve n(v) = 0.
-2, -1, 0, 2/7
Let r(f) be the second derivative of f**5/4 + 45*f**4/4 + 405*f**3/2 + 3645*f**2/2 - 2*f - 327. Factor r(j).
5*(j + 9)**3
Let b be -4 + 111 + (-2)/(-3)*3. Let h = b - 107. Factor 2*i**2 + 1 - i**2 - 3*i**h - 3*i**2 + 4*i.
-(i - 1)*(5*i + 1)
Let f(r) be the second derivative of -r**8/1680 - r**7/140 - r**6/90 + r**4/2 - 12*r - 2. Let a(h) be the third derivative of f(h). Factor a(b).
-2*b*(b + 4)*(2*b + 1)
Let a be (-128)/(-224) + 30*(-6)/(-70) + 1 + -3. Factor -4/7 - a*j - 4/7*j**2.
-4*(j + 1)**2/7
Let z = 720679/9 + -80071. Let -4/9*j**3 + z*j - 4/3*j**2 + 0 = 0. What is j?
-5, 0, 2
Let q(b) be the third derivative of 11*b**4/8 + 35*b**3/3 - 246*b**2. Let i be q(-2). Determine k so that 8/5 + 12/5*k**2 + i*k = 0.
-1, -2/3
Let b(u) = 2*u**3 + 72*u**2 - 5*u + 5. Let r(q) = 5*q**3 + 188*q**2 - 13*q + 13. Let l(i) = 13*b(i) - 5*r(i). Factor l(v).
v**2*(v - 4)
Let q(x) be the third derivative of x**5/270 - 275*x**4/108 - 92*x**3/9 - 1298*x**2 + 1. Find o such that q(o) = 0.
-1, 276
Factor -248/3*m**3 - 5764/3*m**2 - 4/3*m**4 - 19840*m - 76800.
-4*(m + 15)**2*(m + 16)**2/3
Let p(w) = -w**3 + w**2 - 4*w - 1. Let n be p(3). Let s = -26 - n. Suppose -5*a - 5*a - 8 - 5*a**2 + 8*a**2 - s*a**2 = 0. Calculate a.
-4, -1
Suppose 2*j - 4*g = 80, -j + 3*j + 3*g - 94 = 0. Let r = -40 + j. Factor 0 + 1/8*b**r + 3/8*b**3 + 0*b**2 - 1/2*b.
b*(b - 1)*(b + 2)**2/8
Suppose -71*t - 10 = -76*t. Suppose 4*i - 4*c = 32, -t*c + 8 - 9 = i. Solve 0*g**2 - 4/5*g**i + 0*g - 4/5*g**4 + 8/5*g**3 + 0 = 0 for g.
-2, 0, 1
Suppose -80*w + 4*w**3 - 224 + 107445*w**4 + 184*w**2 + 3*w**5 - 107477*w**4 + w**5 = 0. What is w?
-2, -1, 2, 7
Let p(b) be the first derivative of 4*b**5/35 + 6*b**4/7 + 16*b**3/21 - 12*b**2/7 - 20*b/7 + 702. Suppose p(m) = 0. What is m?
-5, -1, 1
Factor 62/5*p + 0 - 2/5*p**2.
-2*p*(p - 31)/5
Let q = -238796 - -716404/3. Find l such that 82/15 - q*l - 2/15*l**2 = 0.
-41, 1
Let u be (3/3 - 6) + 7. Suppose -106*l**3 - l**u + 17 + 111*l**3 - 20*l + 3 - 4*l**2 = 0. Calculate l.
-2, 1, 2
Let t(f) = 10*f**2 - 80*f + 804. Let u = 18 - 7. Let o(k) = 28*k**2 - 240*k + 2411. Let q(w) = u*t(w) - 4*o(w). Find i such that q(i) = 0.
20
Let w(n) be the second derivative of n**7/14 + 911*n**6/5 + 2489763*n**5/20 + 3220*n. Suppose w(r) = 0. Calculate r.
-911, 0
Let j(k) be the second derivative of 1/50*k**5 + 20*k + 0 - 1/15*k**4 + 0*k**2 + 0*k**3. Factor j(h).
2*h**2*(h - 2)/5
Let l(a) be the third derivative of -1/140*a**6 - 2*a**2 + 5 + 1/28*a**4 + 1/490*a**7 - 1/140*a**5 + 0*a + 0*a**3. Factor l(g).
3*g*(g - 2)*(g - 1)*(g + 1)/7
Let v(a) be the second derivative of a**4/18 - 404*a**3/9 + 403*a**2/3 + 1338*a. Find l, given that v(l) = 0.
1, 403
Suppose -4*c = -4*z + 64, -2*z = 2*z - 3*c - 65. Suppose -24*n + z = -55. Solve 5/4*b**2 + 11/4*b**n - 1/2*b + b**4 + 0 = 0 for b.
-2, -1, 0, 1/4
Let b(r) be the first derivative of -1/4*r**4 + 15/8*r**2 + 1/4*r**3 + 25 - 7/2*r. Factor b(o).
-(o - 1)*(o + 2)*(4*o - 7)/4
Determine y, given that -32/7 - 10/7*y**5 + 32/7*y + 32/7*y**3 - 26/7*y**4 + 16*y**2 = 0.
-2, -1, 2/5, 2
Let h(n) be the first derivative of 7*n**5/100 - 19*n**4/60 + 17*n**3/30 - n**2/2 + 209*n + 51. Let l(t) be the first derivative of h(t). Factor l(p).
(p - 1)**2*(7*p - 5)/5
Let c be 4 + 2 + -8 + 7. Suppose -5*p = c*i, 7*p - 4*i - 6 = 8*p. Factor 2/3*r**4 - 1/3*r**3 + 0*r - 1/3*r**5 + 0 + 0*r**p.
-r**3*(r - 1)**2/3
Let j(q) be the second derivative of -8 + 14/5*q**5 - q + 0*q**2 - 26/15*q**6 + 0*q**3 + 0*q**4 - 2/21*q**7. Let j(a) = 0. What is a?
-14, 0, 1
Let c be 180/(-330)*33/(-9). Let k(x) be the first derivative of 2/5*x**c + 1/15*x**3 - 15 + 4/5*x. Factor k(r).
(r + 2)**2/5
Let n be ((-6)/(-16)*-2)/((-198)/55). Let a(b) be the second derivative of 0 - n*b**3 + 26*b + 1/2*b**2 + 1/48*b**4. Find y such that a(y) = 0.
1, 4
Suppose 5*h + 4*v + 46 = 2*h, 3*v - 37 = h. Let w be (3 + h/6)*-3. Let -c**3 - 2*c**2 + 2*c**3 + w + 8*c - 9*c = 0. Calculate c.
-1, 1, 2
Suppose 0*r + 2 = 2*r. Let u(v) = -25*v**3 - 35*v**2 - 4*v - 6. Let i(c) = c - 1. Let t(l) = r*u(l) - 6*i(l). Suppose t(n) = 0. Calculate n.
-1, -2/5, 0
Let h be 0/(91/13 - 8). Let s(o) be the first derivative of 13 - 4/5*o**3 - 4/5*o**2 - 1/25*o**5 - 3/10*o**4 + h*o. Let s(l) = 0. Calculate l.
-2, 0
Let u be (-2)/(-28)*-21 + 2/4 + 3. Find t, given that 9/5*t + 3*t**u + 3/5*t**3 - 27/5 = 0.
-3, 1
Factor -288*s - 11/2*s**4 + 0 - 1/8*s**5 + 264*s**2 - 97/2*s**3.
-s*(s - 2)**2*(s + 24)**2/8
Let h = -352370 + 1761869/5. Factor h*c - 4 + 1/5*c**2.
(c - 1)*(c + 20)/5
Let b(t) = -t**2 + 472*t - 4156. Let n be b(9). Let w(r) be the first derivative of n*r**2 - 20/3*r**3 + 8*r + 18 + 7/8*r**4. Factor w(p).
(p - 4)*(p - 2)*(7*p + 2)/2
Let q(r) be the third derivative of 0*r + 1/7*r**4 - 16/21*r**3 - 2*r**2 - 1/105*r**5 - 86. Factor q(g).
-4*(g - 4)*(g - 2)/7
Let m(f) = 53*f + 59. Let x be m(17). Let v = x + -960. Find t such that -1/2*t**2 - 3*t + v = 0.
-6, 0
Suppose -131977*i**2 + 131196*i**2 - 34*i**3 + 27*i**3 + 336*i = 0. What is i?
-112, 0, 3/7
What is g in -1675*g + 2426*g**3 - 30545*g**2 + 30557*g**2 - 902*g**4 + 8*g**5 - 1501*g + 176 + 28*g**5 = 0?
-1, 1/18, 2, 22
Let h(f) = -2*f**2 - 134*f - 128. Let w be h(-29). Let s = w + -2074. Suppose s*l + 10/3*l**2 + 0 - 2/3*l**4 + 2/3*l**3 = 0. What is l?
-1, 0, 3
Suppose -5*z = t - 25, -5*z + 0*t = -2*t - 10. Suppose -5*o + 150 = -4*s, z*o - 2*s = 2*o + 60. Let -10*f + 5/6*f**2 + o = 0. What is f?
6
Let o = 94 + -108. Let t be ((-360)/(-84) + 4/o)/1. Solve -p**5 - t*p**3 + 3*p + p + p - 2 + 4*p**4 - 2*p**2 = 0.
-1, 1, 2
Let z = -304 - -329. Let 22 + 4*j**2 - 20 + z + 29 - 6*j + 66*j = 0. Calculate j.
-14, -1
Let k be (((-6)/9)/1)/(5/(-27705)). Factor -3804 + k + 965*i - 310*i - 960*i**2 - 24*i**3 - 21*i**3.
-5*(i + 22)*(3*i - 1)**2
Let c be (4 - 4/2) + 117/(-13). Let x be (204/918)/(c/(-9)*1). Factor 4/7*d**2 + 0*d - x*d**5 + 8/7*d**4 + 0 - 10/7*d**3.
-2*d**2*(d - 2)*(d - 1)**2/7
Let s be (2/(-3))/(4/30) + 154. Let i = -146 + s. Factor -1/3*c**5 - 10/3*c**i + 10/3*c**2 - 5/3*c + 1/3 + 5/3*c**4.
-(c - 1)**5/3
Let r be 524/9 + 6 + 6/(-27). Factor -22*o**2 + r - 5*o**3 + 7*o**3 + 10*o**2.
2*(o - 4)**2*(o + 2)
Factor 7*b**2 + 294 + 308*b - 76*b - 5*b**2 - 33*b.
(b + 98)*(2*b + 3)
Let t(q) be the first derivative of -q**7/840 + q**6/120 + q**5/80 - 3*q**4/16 + 21*q**2/2 - 68. Let w(r) be the second derivative of t(r). Factor w(p).
-p*(p - 3)**2*(p + 2)/4
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