vative of -105*z**6/2 + 363*z**5/5 + 297*z**4/2 - 36*z**3 - 12*z**2 + 128. Solve k(v) = 0.
-1, -2/15, 0, 2/7, 2
Suppose 122*k + 24 = 126*k. Let h(q) be the first derivative of -3/2*q**2 - 3 + 0*q - 12/5*q**5 - 4*q**3 - 9/2*q**4 - 1/2*q**k. Suppose h(j) = 0. Calculate j.
-1, 0
Let u(i) be the third derivative of -i**7/105 + 61*i**6/60 - 899*i**5/30 - 961*i**4/12 - 128*i**2. Suppose u(f) = 0. What is f?
-1, 0, 31
Let y(j) = -j**3 + 7*j**2 + 3*j - 17. Let z be y(7). Factor 98*w**3 - 50*w**3 - 52*w**3 + 5*w**4 - w**z.
4*w**3*(w - 1)
Let -4/5*w**2 - 32/5*w + 36/5 = 0. What is w?
-9, 1
Suppose 0 = 4*o - 25 + 9. Factor 15*z**2 + 2*z**o + 8*z**3 - 28*z**3 + 3*z**4.
5*z**2*(z - 3)*(z - 1)
Let f be ((-23)/69)/(52/(-117)). Determine n, given that 3/2*n**3 + f*n - 27/8*n**2 + 0 = 0.
0, 1/4, 2
Let o(n) be the first derivative of 0*n + 12*n**3 - 3/4*n**4 - 2 - 54*n**2. Solve o(h) = 0 for h.
0, 6
Suppose -2*z + 240 = 4*z. Factor -9*o**2 - 3*o**2 + 8 + 7 + z*o - 3*o**2.
-5*(o - 3)*(3*o + 1)
Suppose -2*c + 15 = -g, 252*c + g - 41 = 247*c. Find j, given that 22/9*j**2 + 2/9*j**3 - c + 16/3*j = 0.
-6, 1
Let k be -9 - -7 - (-1 + 31). Let b = 35 + k. Factor 1/3*i + i**2 + i**b + 1/3*i**4 + 0.
i*(i + 1)**3/3
Let x(s) = 163*s - 652. Let f be x(4). Factor f*l - 2/3 + 2/3*l**2.
2*(l - 1)*(l + 1)/3
Let t(n) = -2*n - 24. Let d(u) = -3*u - 36. Let h(p) = -5*d(p) + 7*t(p). Let o be h(-9). Find l such that -3*l - 2*l**2 - 86*l**3 + 85*l**o - 2*l**2 = 0.
-3, -1, 0
Let s = 570 - 1708/3. Factor 2/3*j**3 + s*j**2 + 0 + 0*j.
2*j**2*(j + 1)/3
Determine k so that 4/5*k**3 - 3/5*k**2 + 0*k + 0 - 1/5*k**4 = 0.
0, 1, 3
Let a = -11002 + 11005. Suppose b - 5/2*b**2 + 0 + 2*b**a - 1/2*b**4 = 0. Calculate b.
0, 1, 2
Factor -290*f + 5*f**2 - 14427 + 14427.
5*f*(f - 58)
Let f(h) be the second derivative of -h**4/8 - 10*h**3 - 300*h**2 + 126*h. Determine b, given that f(b) = 0.
-20
Let j(b) = 3*b**2 + 2*b - 2. Let z(p) = -9*p + 0 + 16*p + 3 - 10*p - 3*p**2. Let l be ((-2)/4)/((-2)/8). Let d(w) = l*z(w) + 3*j(w). Let d(m) = 0. Calculate m.
0
Let g = 28 + -7. Let x = g + -19. Factor -3/2*k**3 + 3/2 + 3/2*k - 3/2*k**x.
-3*(k - 1)*(k + 1)**2/2
Factor 10*w**2 + 24 + 2/3*w**3 - 104/3*w.
2*(w - 2)*(w - 1)*(w + 18)/3
Let w be (24/9)/(-8) - (-1)/3. Suppose 0 = 4*d - 5*f + 17, 5*d - f - 1 = 4. Solve -3*t + w*t - 2 + t - t - t**d = 0.
-2, -1
Let h(p) be the third derivative of -10*p**2 + 1/6*p**4 + 0*p**3 + 0*p - 1/105*p**7 + 0*p**6 + 0 + 1/10*p**5. Factor h(l).
-2*l*(l - 2)*(l + 1)**2
Let d = -26497 + 26499. Factor -4/3*t**4 + 0 - 20*t**d - 12*t - 28/3*t**3.
-4*t*(t + 1)*(t + 3)**2/3
Let p(c) = 7*c**2 - 2*c - 2. Let q(v) = -31*v + 34*v + 6 - 3 - 8*v**2. Let h(o) = -3*p(o) - 2*q(o). Factor h(d).
-5*d**2
Let g = 104 - 102. Factor -3/4*b**g + 1/4 - 1/2*b.
-(b + 1)*(3*b - 1)/4
Factor -d**2 + 2*d**2 + 18*d + 7*d**2 + 40 + d**2 - 7*d**2.
2*(d + 4)*(d + 5)
Let d = -40 - -49. Suppose 5*o = -4*k + d + 11, k = 5*o - 20. Suppose 2*m**3 - 4/7*m**2 + 10/7*m**4 - 8/7*m**5 + 0 + k*m = 0. What is m?
-1, 0, 1/4, 2
Let h = 2019 - 2016. Factor -2/7*v**h - 1/7*v**4 + 1/7*v**2 + 0 + 2/7*v.
-v*(v - 1)*(v + 1)*(v + 2)/7
Let o(c) be the third derivative of -7/360*c**5 + 0*c + 0 + 2*c**2 + 37/144*c**4 - 5/18*c**3. Factor o(b).
-(b - 5)*(7*b - 2)/6
Let v = -1365 + 1365. Find r, given that -2/7*r**3 - 8/7 + 6/7*r**2 + v*r = 0.
-1, 2
Let d(g) be the third derivative of g**5/570 + 17*g**4/228 + 20*g**3/19 - 5*g**2 + 6. What is q in d(q) = 0?
-12, -5
Let z = -2/2183 + 2843/720390. Let j(t) be the third derivative of 0 + 11*t**2 + 1/33*t**3 + z*t**5 + 0*t + 1/66*t**4. Factor j(a).
2*(a + 1)**2/11
Let g(i) be the first derivative of i**4/16 - 3*i**2/2 - 5*i + 11. Let x(u) be the first derivative of g(u). Factor x(f).
3*(f - 2)*(f + 2)/4
Determine j, given that 5/2*j**2 - 7/2*j + 3/2 - 1/2*j**3 = 0.
1, 3
Find r, given that 20*r**2 - 10/3*r**3 - 45 - 5/3*r**4 + 30*r = 0.
-3, 1, 3
Let n(g) be the third derivative of -g**6/120 - g**5/10 - g**4/3 + 4*g**2 - 3*g. Determine p, given that n(p) = 0.
-4, -2, 0
Let s(r) = -9*r**4 + 52*r**3 - 4*r**2 - 2. Let l(i) = -2*i**4 + i**3 - 2*i**2 - 1. Let j(t) = 2*l(t) - s(t). Factor j(y).
5*y**3*(y - 10)
Let v(y) be the first derivative of 1/2*y**3 + 1/4*y**4 + 4*y + 4 + 0*y**2. Let l(k) be the first derivative of v(k). Factor l(b).
3*b*(b + 1)
Let h be -10 - -1*696/69. Factor 2/23*r - h*r**2 + 0.
-2*r*(r - 1)/23
Let j(x) = x**3 - 13*x**2 - 9*x + 21. Let k = -16 - -29. Let g = 14 - k. Let r(o) = o**3 - o**2 - o + 1. Let y(p) = g*j(p) - 3*r(p). Factor y(a).
-2*(a - 1)*(a + 3)**2
Let t(p) = -3*p - 13. Let k be t(-8). Factor -4*m**4 + 8 - 14*m - 4*m**2 + 5*m**3 + 26*m**5 + k*m**3 - 28*m**5.
-2*(m - 1)**3*(m + 1)*(m + 4)
Suppose g - 5*c - 37 = 0, -34*g + 8*c = -31*g - 62. Factor 6/11*m**g - 8/11*m - 8/11.
2*(m - 2)*(3*m + 2)/11
Let m = -44327 + 44357. Find b such that m - 84*b - 21/2*b**3 - 141/2*b**2 = 0.
-5, -2, 2/7
Let l(c) be the third derivative of -c**8/504 + c**6/30 - 4*c**5/45 + c**4/12 - c**2 - 158*c. Determine h so that l(h) = 0.
-3, 0, 1
Find p, given that -3/2 + 3/4*p**2 + 3/4*p = 0.
-2, 1
Find v, given that 29/2*v + 7/2*v**3 - 1/6*v**4 - 17/3 - 73/6*v**2 = 0.
1, 2, 17
Let o(h) = 2*h**3 - h**2 - h + 2. Let b be o(1). Factor -4 - 8 - 4 + 12 - c**b + 5*c.
-(c - 4)*(c - 1)
Let l(g) be the third derivative of 0*g**3 + 13*g**2 + 0*g**5 - 1/6*g**4 + 0*g + 1/30*g**6 + 0. Suppose l(j) = 0. What is j?
-1, 0, 1
Let w = -6 - 1. Let p(g) = -g - 2. Let c be p(w). Factor 3 + 3*i**4 + 6*i**3 - 2*i - 2*i**2 - 4*i**2 - 3*i**c - i.
-3*(i - 1)**3*(i + 1)**2
Let u be (-5)/20 - (-17)/4. What is c in 5*c + 102 - 8*c**3 - u*c**2 + c + 2*c**5 + 4*c**4 - 102 = 0?
-3, -1, 0, 1
Let p = -3227 + 3229. Suppose 5/2 + 15/4*y**3 + 5/2*y**p - 35/4*y = 0. Calculate y.
-2, 1/3, 1
Let a(m) be the third derivative of 1/360*m**6 + 0*m**3 - 1/120*m**5 + 0*m + 1/420*m**7 + 0 - 1/72*m**4 - 4*m**2. Factor a(y).
y*(y - 1)*(y + 1)*(3*y + 2)/6
Let q(o) be the second derivative of 1/4*o**4 - 20*o + 6*o**2 + 0 - 1/20*o**5 + 8/3*o**3. Factor q(c).
-(c - 6)*(c + 1)*(c + 2)
Let p(u) be the second derivative of 0 - 8*u - 1/4*u**2 - 1/24*u**4 - 1/6*u**3. Solve p(q) = 0 for q.
-1
Suppose -42*p = -p - 18*p - 46. Factor p - 23/2*b + 15*b**2 + 9/2*b**3.
(b + 4)*(3*b - 1)**2/2
Suppose 0 = 4*v + 2*p + 6, 4*v = 5*v - p - 3. Let g(b) be the second derivative of 0*b**2 + v - 1/78*b**4 + 0*b**3 - 3*b + 1/130*b**5. Factor g(o).
2*o**2*(o - 1)/13
Let j be (8*3)/(-2) - 0. Let b be j/(-8)*(-14)/(-3). Factor -2*o + o**3 - 9*o**4 + b*o**5 - 4*o**3 - 2*o**3 + 9*o**2.
o*(o - 1)**2*(o + 1)*(7*o - 2)
Let f(d) = -3*d - d - 24*d**2 + 16*d**2 + 2 + 2. Let l(i) = 7*i**2 + 3*i - 4. Let o(p) = -3*f(p) - 4*l(p). Determine x so that o(x) = 0.
-1, 1
Let q be ((-10)/(-125))/(2/(-20)*-6). Let -2/15*w + q*w**3 - 2/15*w**2 + 2/15 = 0. Calculate w.
-1, 1
Suppose -209*g - 140 = -244*g. Suppose 0 - 2/7*u**2 - 2/7*u**3 + 2/7*u + 2/7*u**g = 0. What is u?
-1, 0, 1
Let s be ((-9)/114)/(21/28) - 589/(-2166). Factor s*o**2 + 6 + 2*o.
(o + 6)**2/6
Let t(s) be the first derivative of s**3/9 + 5*s**2/3 - 11*s/3 - 119. Suppose t(x) = 0. What is x?
-11, 1
Let a(t) be the second derivative of 16*t + 0 + 7/12*t**4 - 1/10*t**5 - 1/2*t**2 - 1/5*t**6 + 1/12*t**7 - 1/4*t**3. Find w, given that a(w) = 0.
-1, -2/7, 1
Let n(a) be the first derivative of -9/2*a**4 + 27/2*a**2 - 1/6*a**6 + 8/5*a**5 + 0*a + 20 + 0*a**3. Suppose n(q) = 0. Calculate q.
-1, 0, 3
Let n be -4 - (9072/(-20) - -1). Let j = n + -447. Find z, given that -2/5*z**4 - 8/5*z**3 - 2/5 - 12/5*z**2 - j*z = 0.
-1
Let z be (7 + 5/(-1))/1. Let q = 2/291 - -1150/2037. Factor q*p - 4/7*p**3 - 2/7*p**z + 2/7.
-2*(p - 1)*(p + 1)*(2*p + 1)/7
Let a(w) be the third derivative of -1/18*w**4 + 14*w**2 + 2/9*w**3 + 1/180*w**5 + 0 + 0*w. Find k, given that a(k) = 0.
2
Let g = 140 + -85. Let i be -1 + 26/117 + g/36. Factor -6*u**3 - i*u**2 - 15/4*u**4 + 0 + 3/2*u.
-3*u*(u + 1)**2*(5*u - 2)/4
Let d(f) = 58*f**3 - 156*f**2 + 15*f - 2. Let w(i) = -i**3 - 2*i**2 - 3*i. Let q(b) = -d(b) + 6*w(b). Factor q(s).
-(s - 2)*(8*s - 1)**2
Let n(l) = 5*l**2 + l - 1. Let f(v) = -54*v**2 - 33*v + 32. Let o(p) = -4*f(p) - 44*n(p). Suppose o(z) = 0. Calculate z.
1, 21
Suppose -4 - 11 = -5*n. Find x such that 7*x**5 + 4*x**4 + 8*x + 4 - n*x**5 + 4*x**5 - 8*x**2 