- 5/3*m**4 - 10*m**2 + 0.
-5*m**2*(m + 2)*(m + 3)/3
Let y = -33 - -43. Factor 3*b**5 + 10*b**3 + 23*b + 40*b**2 - 8*b**5 - y*b**4 + 3*b + 9*b + 10.
-5*(b - 2)*(b + 1)**4
Let w = 12059/8 + -1507. Let q(i) be the first derivative of 0*i**3 + 6 + w*i**4 - 1/4*i**6 + 0*i**5 + 0*i + 0*i**2. Determine h so that q(h) = 0.
-1, 0, 1
Find d such that 137/4*d**2 + 0 + 17*d + 35/2*d**3 + 1/4*d**4 = 0.
-68, -1, 0
Let v(y) be the second derivative of -2*y**6/105 + 59*y**5/35 - 380*y**4/7 + 13600*y**3/21 + 16000*y**2/7 + 29*y. Factor v(j).
-4*(j - 20)**3*(j + 1)/7
Let t(j) be the third derivative of -5*j**8/336 - 25*j**7/42 - 235*j**6/24 - 1015*j**5/12 - 1225*j**4/3 - 3430*j**3/3 + 3*j**2 - 152. What is a in t(a) = 0?
-7, -2
Factor -1344*a - 114*a**3 - 256 - 1577*a**2 - 423*a**3 - 629*a**2 - 146*a**2 - 835*a**3.
-4*(7*a + 4)**3
Factor -10/3*z**4 + 0 - 8/3*z - 14*z**3 - 16*z**2.
-2*z*(z + 2)**2*(5*z + 1)/3
Let b = 39 - 123. Let d = b + 86. Let 1/2*a**d + 0*a - 1/2 = 0. Calculate a.
-1, 1
Let k(c) be the first derivative of 2*c**5/35 - c**4/14 - 10*c**3/7 - 23*c**2/7 - 20*c/7 - 15. Factor k(a).
2*(a - 5)*(a + 1)**2*(a + 2)/7
Suppose 0 - 7/5*i**4 - 4/5*i - 13/5*i**2 - 1/5*i**5 - 3*i**3 = 0. Calculate i.
-4, -1, 0
Suppose 0 = 5*m - 60 + 30. Let p be ((0 - -10)/(m - 8))/(-3). Factor -2/3 - p*q + q**2.
(q - 2)*(3*q + 1)/3
Let w(a) be the first derivative of -a**3/18 - 8*a**2/3 - 29*a/2 + 191. Suppose w(j) = 0. What is j?
-29, -3
Let s = -12 + 18. Suppose -3*h - s + 3 = 0. Let g(q) = q**3 - q**2 + 1. Let y(b) = 3*b**4 + 9*b**3 + 6*b**2 + 2*b + 1. Let p(f) = h*g(f) + y(f). Factor p(o).
o*(o + 1)**2*(3*o + 2)
Let a(f) be the second derivative of 0*f**2 - 1/8*f**3 + 0 + 12*f + 3/8*f**4. Let a(k) = 0. Calculate k.
0, 1/6
What is c in -34*c**4 - c + c**3 + 2*c**2 + 13*c**4 - 3*c**2 + 22*c**4 = 0?
-1, 0, 1
Suppose -4*l - 4 = -5*l. Let 0*b**4 + 3*b**3 + 10*b**l - b**3 - 2*b**4 = 0. What is b?
-1/4, 0
Let s(c) be the second derivative of -7*c**8/240 - 4*c**7/45 - 4*c**6/45 + 5*c**4/6 + 10*c. Let x(l) be the third derivative of s(l). Solve x(h) = 0 for h.
-4/7, 0
Let x(b) = -102*b**3 + 12*b**2 + 86*b + 10. Let c(y) = 203*y**3 - 24*y**2 - 173*y - 19. Let l(s) = -6*c(s) - 13*x(s). Factor l(z).
4*(z - 1)*(3*z + 2)*(9*z + 2)
Let x(w) be the second derivative of 3*w**5/20 + 2*w**4 + 21*w**3/2 + 27*w**2 - 79*w. Let x(m) = 0. Calculate m.
-3, -2
Suppose -t + 2 = 0, 67*u - 70*u - 2*t + 16 = 0. Factor 2*g**3 + 0 + 6/5*g - 2/5*g**u - 14/5*g**2.
-2*g*(g - 3)*(g - 1)**2/5
Let p(b) be the first derivative of 36*b**5/5 + 79*b**4 + 72*b**3 - 32*b**2 + 178. Determine d, given that p(d) = 0.
-8, -1, 0, 2/9
Suppose -14 = y - 8*y. What is k in -2*k + 6*k - 2*k**2 + 3*k**y - 5*k**2 = 0?
0, 1
Let v be ((-37)/20 + 2/(-5))/3. Let d = v - -41/44. Solve d*t**2 - 2/11*t**4 + 2/11*t**3 + 0 - 2/11*t = 0.
-1, 0, 1
Factor -1/2*w**4 + 0*w**2 - 1/2*w**5 + 0*w + 0 + w**3.
-w**3*(w - 1)*(w + 2)/2
Let u be (-3)/(18/75)*(-2 - 32). Solve -15 - 1 + 428*l**3 - 183*l**4 - 80*l + 92*l**5 + 100*l**5 + 84*l**2 - u*l**4 = 0 for l.
-1/4, 2/3, 1, 2
Let h = -6 - -21. Suppose -3*b + 8*b - h = 0. Let o**b - 5*o**3 + 5*o**3 + 0*o + o + 2*o**2 = 0. Calculate o.
-1, 0
Let c(p) be the first derivative of p**6/10 - 13*p**5/20 + 7*p**4/6 + 2*p**3/3 - 4*p**2 + 6*p - 3. Let s(x) be the first derivative of c(x). Factor s(z).
(z - 2)**2*(z - 1)*(3*z + 2)
Suppose -5*r + 14 + 2 = 4*g, 3*r - 15 = 3*g. Let x(l) = 2*l**2 + 3*l - 5. Let k(q) = -2*q**2 - 2*q + 4. Let v(t) = r*x(t) + 5*k(t). Find b, given that v(b) = 0.
0, 1
Let d = 11/171 + -1/114. Let l(v) be the first derivative of -d*v**4 - 4/27*v**3 + 4 + 4/9*v + 1/9*v**2. Solve l(y) = 0 for y.
-2, -1, 1
Factor -13/4*d + 5/2 + 1/2*d**2 + 1/4*d**3.
(d - 2)*(d - 1)*(d + 5)/4
Let d(f) = 1. Let v(g) be the first derivative of 2*g**3/3 - g**2 - 2*g - 29. Suppose s = -4*s + 5. Let c(j) = s*v(j) + 2*d(j). Factor c(b).
2*b*(b - 1)
Let 79*j + 31*j**4 + 21*j**3 + 1021*j - 35*j**4 - 420*j**2 + 47*j**3 - 1000 = 0. What is j?
2, 5
Let s = 65/7 + -571/63. Solve 0*i**2 + 0 + s*i**3 - 2/9*i = 0 for i.
-1, 0, 1
Factor 7/2*o**2 + 2*o - 11/2.
(o - 1)*(7*o + 11)/2
Let q(t) be the first derivative of 35*t**6/6 + 26*t**5 + 85*t**4/2 + 80*t**3/3 - 5*t**2/2 - 10*t - 68. Solve q(l) = 0.
-1, 2/7
Let a(w) be the second derivative of 6*w + 0*w**2 - 1/16*w**5 - 1 + 5/24*w**4 + 5/8*w**3. Factor a(n).
-5*n*(n - 3)*(n + 1)/4
Let n = -901 - -54061/60. Let r(c) be the second derivative of 0*c**4 + n*c**6 - 1/20*c**5 + 0 + 5*c - 1/4*c**2 + 1/6*c**3. Factor r(g).
(g - 1)**3*(g + 1)/2
Let t(u) = 3. Let p(z) = 7. Let h(b) = -2*p(b) + 5*t(b). Let d(y) = 4*y**2 - 12*y + 6. Let c(g) = -d(g) + 6*h(g). Let c(f) = 0. Calculate f.
0, 3
Let v(j) be the first derivative of -4/7*j + 1/7*j**2 + 2/21*j**3 + 22. What is a in v(a) = 0?
-2, 1
Let n = 63 + -60. Let y be (4/n)/1 + (-18)/27. Determine b so that 1/3*b - 2/3*b**4 + 0*b**3 + y*b**2 - 1/3*b**5 + 0 = 0.
-1, 0, 1
Suppose -6 = 332*u - 11 + 5. Factor 0 + 1/4*t**5 + u*t**2 + 0*t - 1/2*t**4 + 1/4*t**3.
t**3*(t - 1)**2/4
Let w(y) be the second derivative of 2/63*y**7 - 8*y + 0 - 1/18*y**3 - 1/18*y**6 + 5/36*y**4 - 1/20*y**5 + 0*y**2. Let w(d) = 0. Calculate d.
-1, 0, 1/4, 1
Suppose 2/15*y**3 + 8/15*y - 2/3*y**2 + 0 = 0. Calculate y.
0, 1, 4
Let g(v) = -12*v**2 + 3*v + 9. Let p(h) = -11*h**2 + 3*h + 8. Suppose r = -3*c - 7, c = -2*r - c - 2. Let s(w) = r*g(w) - 3*p(w). Factor s(q).
3*(q - 1)*(3*q + 2)
Let s(w) be the third derivative of 1/24*w**5 - 1/84*w**7 + 0*w - 12*w**2 + 0 + 1/24*w**6 + 0*w**3 - 5/24*w**4. Factor s(i).
-5*i*(i - 2)*(i - 1)*(i + 1)/2
Let g(m) be the first derivative of 169*m**4/8 + 767*m**3/6 - 381*m**2/4 + 45*m/2 - 369. Let g(p) = 0. Calculate p.
-5, 3/13
Suppose 2*t + 3*m - 1 + 6 = 0, -5*m = 4*t + 5. Find c such that 0*c**4 - 10*c**4 - c**2 + t*c**4 + 6*c**4 = 0.
-1, 0, 1
Let k(w) = -w**3 + 1. Let i(v) = -7*v**3 + 2*v**2 + 5. Suppose 12 = -3*l - 3*g, 0 = 5*g - 0*g + 15. Let p(h) = l*i(h) + 5*k(h). Find q such that p(q) = 0.
0, 1
Let l(j) be the first derivative of -1/2*j**2 - 1/24*j**6 - 1/3*j**3 + 3 + 3/16*j**4 + 1/10*j**5 + 0*j. Determine r, given that l(r) = 0.
-1, 0, 2
Suppose -w - 50 = 4*w. Let g = w - -14. Solve -8*v - v**3 + v**3 + 4*v**3 - 4 + 4*v**g + 4*v**3 = 0.
-1, 1
Suppose 61 - 16 = 9*c. Determine b so that -8*b + 5*b**3 + 0*b - 2*b - 10*b**2 + 10 + c*b = 0.
-1, 1, 2
Factor 90*v + 131*v**2 + 11*v**4 + 7*v**3 + 43*v**3 - 7*v**4 + v**4 + 4*v**2.
5*v*(v + 1)*(v + 3)*(v + 6)
Factor 43*y + 37*y - 90*y**2 - 204*y - 321*y - 5*y**3 + 40*y.
-5*y*(y + 9)**2
Determine z, given that -12/5*z**2 - 4*z + 4/5*z**4 + 4/5*z**3 - 8/5 = 0.
-1, 2
Suppose -22 = -7*v - 8. Let j be -2 - v/4 - (-8 + 5). Let 1/2*k**5 - j*k**2 + 0 - 1/2*k**3 + 0*k + 1/2*k**4 = 0. Calculate k.
-1, 0, 1
Factor -1/2*i**2 + 29/2*i - 14.
-(i - 28)*(i - 1)/2
Let s(v) = 7*v**3 + 13*v**2 - 80*v + 64. Let g(i) = -85*i**3 - 155*i**2 + 960*i - 770. Let o(f) = -2*g(f) - 25*s(f). Suppose o(l) = 0. What is l?
-6, 1, 2
Let o(i) be the first derivative of -i**6/24 + i**5/10 + i**4/4 - i**3/6 - 3*i**2/8 - 103. Suppose o(t) = 0. What is t?
-1, 0, 1, 3
Factor -27178 + 27178 - 8*f**2 - 6*f**3 + 2*f**4.
2*f**2*(f - 4)*(f + 1)
Let c = 76 + -70. Let b be (-4)/c - 11/(-3). Solve 2/5*p**2 - 4/5*p**b + 0 + 2/5*p**4 + 0*p = 0 for p.
0, 1
Suppose -2*t = -4*o - 12, -34*t = -35*t - 2*o - 6. Factor t*f + 2/9*f**3 - 8/9 + 2/3*f**2.
2*(f - 1)*(f + 2)**2/9
Let a(s) be the first derivative of -2*s**2 - 1/6*s**6 + 2/5*s**5 - 4/3*s**3 + 0*s + 5 + 3/4*s**4. Let a(y) = 0. What is y?
-1, 0, 2
Suppose 10*d = 14*d. Let l(u) be the third derivative of 0*u**4 + 0*u + d*u**3 + 0 - 1/20*u**5 + 1/40*u**6 + 4*u**2. What is k in l(k) = 0?
0, 1
Let s(q) be the first derivative of -5*q**6/6 - 10*q**5 - 65*q**4/4 + 100*q**3 - 90*q**2 + 970. Factor s(b).
-5*b*(b - 1)**2*(b + 6)**2
Let u be (-20)/(-6)*((-432)/(-70) - 6). Suppose 3*l + 3 = 4*b - 8*b, 4*b = l + 1. Find q, given that -u*q**3 + 6/7*q**4 - 2/7*q**2 + b*q + 0 = 0.
-1/3, 0, 1
Suppose w - 99 - 23 = -2*l, 4*l = 4*w + 244. Let b(y) = -y**2 + 6*y + 9. Let c be b(7). Factor -5*q**c + 20*q - l + 61.
-5*q*(q - 4)
Suppose 80 - 10*t**3 + 16*t**4 + 126*t**3 + 396*t**2 + 110 + 540*t + 26 - 4*t**4 = 0. What is t?
-3, -2/3
Let m(v) be the third derivative of 11*v**7/252 - v**6/30 - v**5/15 + 1