). Solve v(f) = 0 for f.
-24, 0
Factor -1323/2 + 9*q**2 + 189/4*q + 1/4*q**3.
(q - 6)*(q + 21)**2/4
Let n(v) be the second derivative of v**6/90 + v**5/60 - v**4/6 - 163*v - 4. Let n(p) = 0. Calculate p.
-3, 0, 2
Let r(p) be the third derivative of 0*p**3 + 1/20*p**6 + 0*p - 1/168*p**8 + 1/6*p**5 + 2*p**2 - 5 + 1/6*p**4 - 1/105*p**7. Factor r(f).
-2*f*(f - 2)*(f + 1)**3
Suppose 0 = -6*k - 2*k. Suppose j + 72 = 3*j + 3*i, 2*j - i - 88 = k. What is r in -27*r + 924*r**2 + 9*r**4 + 6 + 9*r**4 - 3*r**5 - 876*r**2 - j*r**3 = 0?
1, 2
Let h(p) be the second derivative of 5*p**7/14 + 23*p**6/6 - 5*p**5 - 115*p**4/3 + 80*p**3/3 - 531*p - 9. Find g, given that h(g) = 0.
-8, -2, 0, 1/3, 2
Let c be ((-2)/12)/((-1)/(-6)*((-2065)/(-118) - 19)). Factor 24 + c*z**4 + 20/3*z**3 - 40*z + 26/3*z**2.
2*(z - 1)**2*(z + 6)**2/3
Let t = -1739 - -1094. Let y = -645 - t. Determine p so that 2/23*p**3 - 6/23*p**2 + y + 4/23*p = 0.
0, 1, 2
Let r(d) = -2*d**3 + d**2 - d + 2. Let v(p) = -17*p**3 - 78*p**2 - 85*p. Let u(g) = 4*r(g) - v(g). Factor u(n).
(n + 1)*(n + 8)*(9*n + 1)
Suppose -41*i**2 + 192 + 7*i**2 - 26*i**2 + 655*i + 777*i = 0. What is i?
-2/15, 24
Let u(y) be the first derivative of -y**3 - 336*y**2 - 1989*y - 2483. Factor u(j).
-3*(j + 3)*(j + 221)
Let w(j) be the third derivative of -j**5/240 + j**4/96 + j**3/2 + 158*j**2. Factor w(x).
-(x - 4)*(x + 3)/4
Let r = 13334/9 + -13331/9. Factor 11/3*f**2 - 2*f - r*f**4 - 4/3*f**3 + 0.
-f*(f - 1)**2*(f + 6)/3
Determine m, given that 4/7*m**2 - 2248/7*m - 4512/7 = 0.
-2, 564
Let l = 123458 - 493831/4. Factor 0 + l*g**2 + 1/4*g.
g*(g + 1)/4
Let l(c) be the third derivative of 1/30*c**5 + 0*c - c**3 + 0 - 9*c**2 - 1/6*c**4. Factor l(x).
2*(x - 3)*(x + 1)
Let t(m) = 5*m**4 - 16*m**3 + 85*m**2 + 106*m - 156. Let y(d) = 27*d**4 - 81*d**3 + 426*d**2 + 531*d - 777. Let a(c) = 21*t(c) - 4*y(c). What is u in a(u) = 0?
-7, -2, 1, 4
Let a(n) be the second derivative of 87*n + 1/6*n**4 + 1/20*n**5 + 0*n**2 + 0*n**3 - 1/15*n**6 - 1/42*n**7 + 0. Let a(p) = 0. Calculate p.
-2, -1, 0, 1
Let j(i) be the first derivative of 8*i + 5*i**2 - 5/2*i**4 + 4 - 2/5*i**5 - 2*i**3. Factor j(h).
-2*(h - 1)*(h + 1)**2*(h + 4)
Factor 51/7*o - 81/7 + 30/7*o**2.
3*(o - 1)*(10*o + 27)/7
Let h(t) = -15*t**3 - 30*t**2 + 12*t - 6. Let y = 1 - 7. Suppose 111*f = 102*f + 9. Let m(q) = q**3 + q**2 - 1. Let n(z) = f*h(z) + y*m(z). Factor n(s).
-3*s*(s + 2)*(7*s - 2)
Let z(f) be the third derivative of -29*f**2 + 0 - 1/18*f**4 + 2*f + 1/630*f**5 - 32/63*f**3. Determine q, given that z(q) = 0.
-2, 16
Suppose -1/4*m**5 - 633839779/4*m**2 - 2577/4*m**4 + 0 + 0*m - 2213643/4*m**3 = 0. Calculate m.
-859, 0
Let c(m) be the second derivative of -5*m**7/21 - 28*m**6/15 + 17*m**5/10 + 14*m**4/3 - 4*m**3 - 5016*m. Determine f so that c(f) = 0.
-6, -1, 0, 2/5, 1
Let q = 970715 - 970712. What is a in -33/4*a**3 - q*a**4 - 27/8*a + 0 - 3/8*a**5 - 9*a**2 = 0?
-3, -1, 0
Let o(m) be the third derivative of -m**6/600 + 29*m**5/150 + 534*m**2. Let o(d) = 0. What is d?
0, 58
Let b be (31/(-7) - -9)*(6 - 2)/(4 - 2). Factor 20/7*r**3 - 2/7*r**4 + 16*r - 72/7*r**2 - b.
-2*(r - 4)*(r - 2)**3/7
Suppose -336 = 58*j - 568. Let y(p) be the second derivative of 0 - 3*p**2 + 2/3*p**3 + 1/6*p**j - 26*p. Let y(a) = 0. Calculate a.
-3, 1
Suppose 3 = -725*i + 745*i + 3. Let u(c) be the third derivative of -1/48*c**4 + 0 + 0*c + i*c**3 + 7*c**2 - 1/30*c**5. Factor u(f).
-f*(4*f + 1)/2
Suppose -5*m = 15, 16*m - 17*m - 9 = -3*p. Let v be 5/p + ((-715)/26)/11. Factor v*y**2 + 0 + 6/5*y**3 + 0*y - 3/5*y**4.
-3*y**3*(y - 2)/5
Let w(c) be the first derivative of 2*c**3/21 - 296*c**2/7 + 43808*c/7 + 1129. Solve w(m) = 0 for m.
148
Let i(p) be the second derivative of 29 + 11/10*p**6 + 48*p**2 - 44*p**3 - 1/14*p**7 - 69/10*p**5 + 23*p**4 + p. Factor i(d).
-3*(d - 4)*(d - 2)**3*(d - 1)
Suppose j = 3*j - m - 4, 2*j = -m + 4. Suppose -j*o - 6 = -5*o. Factor 0 - 3*z**o - z**2 + 4.
-4*(z - 1)*(z + 1)
Let m(u) be the second derivative of -168 + 40/9*u**2 + 1/90*u**5 + 5/18*u**4 - 2*u + 2*u**3. Let m(o) = 0. Calculate o.
-10, -4, -1
Factor 78125/2*w - 750*w**3 - 3125*w**2 + 0 - 35*w**4 - 1/2*w**5.
-w*(w - 5)*(w + 25)**3/2
Let x(q) be the second derivative of q**4/12 - 19*q**3/6 - 47*q. Factor x(k).
k*(k - 19)
Solve 4*k**5 + 72*k**2 - 337*k**4 + 216 + 22*k**3 - 324*k + 153*k**4 + 42*k**3 + 152*k**4 = 0 for k.
-2, 1, 3
Let i(w) be the first derivative of -2/9*w**3 + 8/3*w + 1/6*w**4 + 92 - 4/3*w**2. Factor i(y).
2*(y - 2)*(y - 1)*(y + 2)/3
Suppose -24 = -6*y + 3*y. Suppose -4*g = 4*m - 36, -16 - 8 = -4*m - g. Factor 5*u**5 - 10*u**3 + m + 5*u**4 - 2*u**2 - 3*u + y*u - 8*u**2.
5*(u - 1)**2*(u + 1)**3
Let a = -305 + 335. Suppose 3*h + 2*q = 6, 5*q - a = -15. Factor 8/17 - 2/17*i**2 + h*i.
-2*(i - 2)*(i + 2)/17
Let b be 260/15*(-2 - 28/(-8)). Determine n, given that 508*n**2 + 284*n - 170*n**3 - 178*n**3 - 518*n**4 + 50*n**5 + 14*n**5 + 36 - b*n**4 = 0.
-1, -1/4, 1, 9
Factor -494 - 33/2*j + 1/2*j**2.
(j - 52)*(j + 19)/2
Let x(l) be the first derivative of -20*l - 14 - l**2 - 1/2*l**3 + 1/20*l**5 + 0*l**4. Let h(c) be the first derivative of x(c). Let h(o) = 0. Calculate o.
-1, 2
Let g = -1421 + 1458. Let c be g/14 - (-3)/(-21). Suppose -3/4 + 13/4*v - c*v**2 + 13/4*v**4 - 5/2*v**3 - 3/4*v**5 = 0. What is v?
-1, 1/3, 1, 3
Let v(s) be the second derivative of -1/80*s**5 + 1/16*s**4 - 1/4*s**2 + 44*s + 1/24*s**3 - 1/120*s**6 + 0. Determine l so that v(l) = 0.
-2, -1, 1
Let f(s) be the second derivative of -1/20*s**5 - 126*s + 13/12*s**4 + 0 - 20/3*s**3 + 18*s**2. Find j such that f(j) = 0.
2, 9
Let x(a) be the third derivative of -a**6/54 + 7*a**5/90 - a**4/54 + 1497*a**2. Factor x(j).
-2*j*(j - 2)*(10*j - 1)/9
Let s(n) be the first derivative of 4*n**3/15 + 3624*n**2/5 + 7244*n/5 - 613. Suppose s(m) = 0. Calculate m.
-1811, -1
Let j = -127279/40 - -3182. Let f(l) be the third derivative of -1/60*l**5 + 7*l**2 - 1/210*l**7 + 0*l + 0 + j*l**6 - 1/8*l**4 + 1/3*l**3. Solve f(u) = 0.
-1, 1, 2
Suppose 5*c - 7 = m, 2*m - 4*c - 1 + 3 = 0. Factor -42*a**2 - 162*a + 194*a + 4*a**m + 6*a**2.
4*a*(a - 8)*(a - 1)
Find a, given that 302/3*a**2 + 290/3*a - 4 = 0.
-1, 6/151
Let g be ((-632)/(-10902))/((-3)/(-69)). Suppose -16/3 + 2/3*t**2 - g*t = 0. Calculate t.
-2, 4
Let v(p) = p**5 - p**4 - 6*p**3 - 2*p**2 + 7*p - 1. Let b(g) = -2*g**5 + 4*g**4 + 6*g**3 + 2*g**2 - 7*g. Let i(n) = -2*b(n) - 3*v(n). Factor i(z).
(z - 3)*(z - 1)**3*(z + 1)
Suppose -h - 2 = -f, 4*h - 8*h + 8 = 0. Let v be 10/(-2)*-1 + -5. Determine x, given that 0 - 2/9*x**2 + 8/9*x**f + v*x + 2/3*x**3 = 0.
-1, 0, 1/4
Let c be (-36482)/68 - 1/(-2). Let i = -5357/10 - c. Factor -3/10*v**3 - 4/5*v**2 - i*v + 1/5.
-(v + 1)*(v + 2)*(3*v - 1)/10
Factor 892/9 - 146/3*i - 4/9*i**2.
-2*(i - 2)*(2*i + 223)/9
Let k(i) be the third derivative of -i**5/120 + 89*i**4/24 - 7921*i**3/12 + 97*i**2. Factor k(p).
-(p - 89)**2/2
Let n be (-4)/(-5) - (-23 - (-7119)/315). Factor 4*c - 6/5 - n*c**2.
-2*(c - 3)*(3*c - 1)/5
Let y(k) be the first derivative of -k**3 - 402*k**2 - 53868*k - 3612. Suppose y(t) = 0. Calculate t.
-134
Suppose 0*l - 5*l - 26 = -3*b, -l - 3*b + 2 = 0. Let y be (48/4)/l + 6. Factor -38*d**2 - y*d + 4*d**3 - 3*d + 2*d**4 + 2*d + 36*d**2.
2*d*(d - 1)*(d + 1)*(d + 2)
Let j be ((-14)/(-40))/(1463/30932). Factor j*k - 2 + k**3 - 32/5*k**2.
(k - 5)*(k - 1)*(5*k - 2)/5
Let y(w) be the second derivative of 2*w**6/15 + 364*w**5/5 + 14640*w**4 + 3453088*w**3/3 - 7263392*w**2 - 667*w. Solve y(q) = 0.
-122, 2
Let s be (160/(-420))/(236/(-1239)). Factor 52/3*h + 32/3 + 22/3*h**s + 2/3*h**3.
2*(h + 1)*(h + 2)*(h + 8)/3
Let f(m) = 4*m - 12. Let q be f(9). Suppose 1 + 0 = -o - 3*u, 0 = 2*o + 5*u + 1. Solve -45*t**3 - 96*t**o - 35*t - t - 8 + t**3 - q*t = 0.
-1, -2/11
Let b be 36/297 - 1916/(-528). Factor 3/4*m + 9/4*m**4 + 21/4*m**3 + 0 + b*m**2.
3*m*(m + 1)**2*(3*m + 1)/4
Let b(z) be the first derivative of -z**6/2340 - 7*z**5/780 + 5*z**4/26 - z**3/3 - 20*z - 237. Let s(q) be the third derivative of b(q). Factor s(t).
-2*(t - 3)*(t + 10)/13
Factor -45*d + 121*d + 234 - 124 + 16*d**2 - 110.
4*d*(4*d + 19)
Factor -3/2*r**2 + 315*r - 1836.
-3*(r - 204)*(r - 6)/2
Let l(w) be the first derivative of 0*w - 1/10*w**5 + 29 + 1/90*w**6 + 4*w**3 + 1/3*w**4 + 0*w**2. Let x(s) be th