 (-735)/210. Find m such that 1/7*m - q*m**3 + 2/7*m**2 - 2/7 = 0.
-1, 1, 2
Let a(f) be the second derivative of -f**6/70 + f**5/105 + f**4/21 - 3*f**2/2 - 4*f. Let d(t) be the first derivative of a(t). Determine v so that d(v) = 0.
-2/3, 0, 1
Factor 1032*p + 3687 + 29629 + 33248 + p**2 - 3*p**2 + 6*p**2.
4*(p + 129)**2
Let c = 113 + -111. Factor -c*u + 4*u**2 + u**2 - u - 2*u**2.
3*u*(u - 1)
Let r(t) be the first derivative of 10/3*t**3 - 6 + 0*t - 5/2*t**2 - 5/4*t**4. Factor r(i).
-5*i*(i - 1)**2
Let -3993/2 - 1089/2*w - 99/2*w**2 - 3/2*w**3 = 0. What is w?
-11
Let q(k) be the first derivative of -16/3*k**3 + 28/15*k**5 + 20/3*k - 1/3*k**6 - 7/3*k**2 + 12 + 5/3*k**4. Solve q(l) = 0 for l.
-1, 2/3, 1, 5
Let b(q) be the third derivative of q**7/630 - 17*q**6/360 + q**5/4 - 43*q**4/72 + 7*q**3/9 - 201*q**2. Factor b(l).
(l - 14)*(l - 1)**3/3
Let g(p) be the third derivative of p**6/60 - 3*p**5/10 + 5*p**4/4 + 25*p**3/3 + 602*p**2. Solve g(l) = 0 for l.
-1, 5
Let q(y) be the third derivative of -3*y**8/1120 - y**7/560 + y**6/90 + y**5/60 + 20*y**3/3 + 22*y**2. Let c(j) be the first derivative of q(j). Factor c(o).
-o*(o - 1)*(3*o + 2)**2/2
Let i(x) = -x**3 - 6*x**2 + 6*x - 7. Let h be i(-7). Suppose 4*n + h*n = -4*u + 8, -10 = -5*u + 4*n. Factor -1/2 - 1/4*l**3 + 7/4*l + 1/2*l**4 - 3/2*l**u.
(l - 1)**2*(l + 2)*(2*l - 1)/4
Let p(i) be the second derivative of i**8/840 - i**7/140 + i**6/90 + 5*i**3/6 + 39*i. Let d(z) be the second derivative of p(z). Solve d(w) = 0.
0, 1, 2
Suppose -2 = 2*l, 202 - 658 = -5*f + l. Find p such that f - 9*p**3 + 6*p**2 + 3*p**4 - 91 = 0.
0, 1, 2
Let y be (-5 - (-369)/63)*(-3)/(45/(-28)). Determine b, given that -98/5*b**2 - y - 56/5*b = 0.
-2/7
Let x be (-8)/(-2) + (-6)/(-1 - 1). Suppose -x*d = -9*d + 6. What is s in -2*s**5 + 1/2*s + 3/2*s**d - 5/2*s**4 + 0 + 5/2*s**2 = 0?
-1, -1/4, 0, 1
Let q(n) be the second derivative of -3*n**5/80 + n**4/8 - n**3/8 + 3*n - 2. Solve q(s) = 0.
0, 1
Determine v, given that -26244 - 2916*v - 108*v**2 - 4/3*v**3 = 0.
-27
Factor 2/9*b**2 - 224/3*b + 6272.
2*(b - 168)**2/9
Factor 0 - 8/3*m**3 + 20/3*m + 14/3*m**2 - 2/3*m**4.
-2*m*(m - 2)*(m + 1)*(m + 5)/3
Suppose 2*d - 4 = 5*y, 0 = -4*y - 21*d + 25*d - 8. Factor 9/2*a**4 + 0*a - 33/2*a**3 + y - 6*a**2.
3*a**2*(a - 4)*(3*a + 1)/2
Factor 14/9*w**3 + 74/9*w**2 - 64/9*w - 8/3.
2*(w - 1)*(w + 6)*(7*w + 2)/9
Let l(a) = -77*a**5 + 27*a**4 + 50*a**3 + 7*a**2 - 14*a. Let c(i) = 39*i**5 - 14*i**4 - 25*i**3 - 4*i**2 + 8*i. Let p(q) = 7*c(q) + 4*l(q). Factor p(r).
-5*r**3*(r - 1)*(7*r + 5)
Let u = 92/3 + -30. Let t(s) = -s**2 + 80*s - 1516. Let j be t(49). Factor 0 + 2/3*y**j + u*y + 4/3*y**2.
2*y*(y + 1)**2/3
Let f(j) be the third derivative of 0*j - 18*j**2 + 0 - 1/300*j**6 + 2/75*j**5 + 2/15*j**3 - 1/12*j**4. What is h in f(h) = 0?
1, 2
Suppose -2*w + 35 = w - r, 4*r = 4*w - 52. Let i be (55/50)/w*6. Factor 0*h**2 - 6/5*h**3 + i*h + 3/5*h**5 + 0*h**4 + 0.
3*h*(h - 1)**2*(h + 1)**2/5
Let g be 65/13*8/10. Let r be (-1)/(g/((-256)/4)). Solve 6*d + 2*d + r*d**2 + 16*d**3 - 2*d - 2*d = 0 for d.
-1/2, 0
Let k(l) be the second derivative of 0*l**4 + 0 + 0*l**3 + 0*l**2 + 3/80*l**5 + 1/40*l**6 - 16*l. Factor k(c).
3*c**3*(c + 1)/4
Let p(i) be the first derivative of 3/16*i**4 + 20 + 0*i**2 + 0*i + 1/4*i**3. Factor p(d).
3*d**2*(d + 1)/4
Let n(c) be the third derivative of c**5/450 + 11*c**4/15 + 3*c**2 - 35*c. Factor n(h).
2*h*(h + 132)/15
Let b(f) be the third derivative of 0*f + 0*f**5 - f**2 + 0 + 0*f**3 + 0*f**6 + 0*f**4 + 5/336*f**8 + 1/42*f**7. Solve b(p) = 0.
-1, 0
Suppose -2*a + 19*a**3 - 58*a - 43*a**2 - 3*a + 15*a**4 - a**5 - 32 - 2*a - 13*a = 0. Calculate a.
-1, 2, 16
Let 5/6*r**2 + 15/2*r + 35/3 = 0. What is r?
-7, -2
What is q in -37*q**3 - 19*q**3 + 33*q + 4*q**5 + 48*q**2 - 41 + 19*q - 7 = 0?
-4, -1, 1, 3
Let s(j) be the third derivative of -j**7/840 - j**6/60 + j**5/24 + j**4/12 - 3*j**3/8 - 3*j**2 - 267. Factor s(p).
-(p - 1)**2*(p + 1)*(p + 9)/4
Let v(j) be the first derivative of 2/9*j**3 - 7/6*j**2 + 1/12*j**4 + 4/3*j - 18. Factor v(r).
(r - 1)**2*(r + 4)/3
Suppose 3*l - 6 = -i, 2*i + 21 = l + 4*l. Factor 34*c**2 + 38*c**2 - 3 - 54*c**2 - l*c.
3*(2*c - 1)*(3*c + 1)
Let r be 19/(-5) + -51 + 56. Let h = 56/5 + -10. Factor r + h*f**2 + 3*f.
3*(f + 2)*(2*f + 1)/5
Let x(d) be the second derivative of 14*d + 4/21*d**3 + 1/21*d**4 + 2/7*d**2 + 0. Solve x(z) = 0.
-1
Let a(s) be the second derivative of 3/4*s**2 + s + 1 + 1/16*s**4 + 3/8*s**3. Factor a(f).
3*(f + 1)*(f + 2)/4
Let h(i) be the first derivative of -9*i**4/2 + 2*i**3/3 + 10*i**2 + 221. Factor h(r).
-2*r*(r + 1)*(9*r - 10)
Let i be 12 + -5 - (3 - 2 - -3). Factor 3*h**i - 20*h + 35*h - 27*h.
3*h*(h - 2)*(h + 2)
Let c(i) be the third derivative of 1/5*i**4 + 43*i**2 + 0*i - 1/75*i**5 + 0*i**3 + 0. Factor c(k).
-4*k*(k - 6)/5
Determine y, given that -4*y**2 + 9739 - 22052 - 58320 - 85303 + 1552*y + 5392 = 0.
194
Factor 0 - 1/2*s**3 - 1/2*s + s**2.
-s*(s - 1)**2/2
Solve -135*o**4 - 75*o**5 - 253*o**2 + 494*o**2 - 72*o**3 - 253*o**2 = 0 for o.
-1, -2/5, 0
Let v = 49 + -40. Let q = v - 7. Suppose 0 + 15/4*j**4 - 3*j**q + 3/4*j**5 - 6*j + 9/2*j**3 = 0. Calculate j.
-2, 0, 1
Let t(j) be the first derivative of j**6 + 9*j**5/5 - 9*j**4/4 - 7*j**3 - 9*j**2/2 - 76. Let t(g) = 0. What is g?
-1, 0, 3/2
Let n(c) be the second derivative of c**4/9 - 728*c**3/9 + 66248*c**2/3 + 7*c. Factor n(u).
4*(u - 182)**2/3
Let l(n) = -n**2 + 66*n - 464. Let z be l(8). Factor -6/5*r**5 + 0*r**2 + 0*r + z - 8/5*r**4 - 2/5*r**3.
-2*r**3*(r + 1)*(3*r + 1)/5
Let k(w) be the second derivative of w**6/90 - 4*w**5/15 + 22*w**4/9 - 32*w**3/3 + 24*w**2 + 137*w. Factor k(d).
(d - 6)**2*(d - 2)**2/3
Let c be (-6)/(-4) - (-36)/(-24). Let k(z) be the first derivative of 1/2*z**3 + 5 + c*z + 0*z**2 + 3/8*z**4. Find v such that k(v) = 0.
-1, 0
Let k = -51 + 79. Suppose -k*u + 6*u**4 + 4*u**5 + 2*u**4 + 0*u**4 - 32*u**2 + 0*u**5 - 8*u**3 - 8 = 0. What is u?
-1, 2
Let u(x) = x**5 + x**4 - 2*x**3 + x**2. Let c(w) = -3*w**3 - 18*w**2 - 6*w. Let y(s) = -c(s) - 3*u(s). What is o in y(o) = 0?
-1, 0, 2
Let s(t) = 8*t**2 + 15*t + 7. Let b = -51 - -46. Let d(o) = 7*o**2 + 15*o + 8. Let i(f) = b*s(f) + 4*d(f). Factor i(v).
-3*(v + 1)*(4*v + 1)
Suppose -22/5*s - 2/5*s**3 - 6/5*s**4 - 12/5 + 42/5*s**2 = 0. What is s?
-3, -1/3, 1, 2
Let a(s) be the first derivative of 6*s**2 - 3*s**3 + 1/2*s**4 + 1 - 1/30*s**5 + 0*s. Let n(r) be the second derivative of a(r). Find x such that n(x) = 0.
3
Let m(u) = 20*u**4 + 109*u**3 - 744*u**2 - 4146*u + 1104. Let g(f) = 20*f**4 + 108*f**3 - 743*f**2 - 4147*f + 1108. Let t(a) = -6*g(a) + 7*m(a). Factor t(p).
5*(p - 6)*(p + 6)**2*(4*p - 1)
Let b = 68 - 68. Let s(m) be the third derivative of 0 + 0*m**4 - 1/80*m**5 + b*m + 1/160*m**6 - 10*m**2 + 0*m**3. Factor s(u).
3*u**2*(u - 1)/4
Let o(c) be the first derivative of -c**4/3 + 52*c**3/3 - 266*c**2 + 1444*c/3 + 191. Solve o(t) = 0 for t.
1, 19
Suppose -4*m + h = -6*m + 11, 5 = h. Suppose n = -m*r + 11, 0 = r - n - 3*n + 5. Let 2/3*d**r - 2/3*d**2 + 2/3*d**4 + 0 - 2/3*d = 0. Calculate d.
-1, 0, 1
Let m(n) = -7*n**3 - 6*n**2. Let a(d) = -16*d**3 - 12*d**2. Let u(g) = 2*a(g) - 5*m(g). Find y, given that u(y) = 0.
-2, 0
Let o(n) be the first derivative of n**5/20 + 3*n**4/8 - 5*n**3/12 + 19*n - 9. Let l(a) be the first derivative of o(a). Determine z so that l(z) = 0.
-5, 0, 1/2
Let 9/5*h**3 + 3/5*h - 12/5*h**2 + 0 = 0. What is h?
0, 1/3, 1
Let r(c) be the first derivative of -c**8/840 + c**6/180 - 16*c**3/3 + 3. Let x(i) be the third derivative of r(i). Suppose x(l) = 0. Calculate l.
-1, 0, 1
Suppose 0 = 5*n + 2*s - 12, -2*n - 5*s + 22 - 13 = 0. Factor 9/5*v - 3/5*v**n - 6/5.
-3*(v - 2)*(v - 1)/5
Let 1/4*b**2 + 0 + b = 0. What is b?
-4, 0
Suppose 4 = 2*j - 6. Suppose d = j*n - 27, 0*n + 3*n - d = 17. Factor 2*p**5 + 32*p**4 + 69*p**2 + 32 + 112*p + 83*p**2 + 2*p**n + 100*p**3.
4*(p + 1)**2*(p + 2)**3
Suppose -6*t - 7 = -19. Suppose 4*f - t*f = 4. Factor -2/3 + 1/3*r**f + 1/3*r.
(r - 1)*(r + 2)/3
Let u(t) be the third derivative of -t**8/112 - t**7/70 + 3*t**6/20 - 36*t**2. Find q such that u(q) = 0.
-3, 0, 2
Let f(g) be the third derivative of -g**7/9450 + g**6/1800 + 5*g**4/24 + 15*g**2. Let a(r) be the second derivative of f(r). Factor a(d).
-2*d*(2