7*u - 2/7*u**4 - 10/7*u**2 = 0. What is u?
-1, 0, 1/4, 2
Factor 12/7 + 4/7*u - 12/7*u**2 - 4/7*u**3.
-4*(u - 1)*(u + 1)*(u + 3)/7
Suppose 14*p - 25 = 17. Let g(x) be the third derivative of p*x**2 + 0*x + 0 - 1/10*x**4 + 1/150*x**5 + 3/5*x**3. Factor g(w).
2*(w - 3)**2/5
Let k(u) be the second derivative of -u**7/21 - 2*u**6/5 - 9*u**5/10 - 2*u**4/3 + 204*u. Solve k(a) = 0 for a.
-4, -1, 0
Let x(l) be the second derivative of l**6/210 - l**5/20 - 3*l**4/28 + l**3/6 + 4*l**2/7 + 80*l. Factor x(u).
(u - 8)*(u - 1)*(u + 1)**2/7
Let y = 0 - 3. Let m(w) = w**2 - 4*w + 3. Let t(b) = 2*b**2 - 4*b + 4. Let x = 66 - 62. Let s(z) = x*m(z) + y*t(z). Solve s(j) = 0 for j.
-2, 0
Let d be (1/11 + 2 + -2)/2. Let a(k) be the first derivative of 2 + d*k**4 - 2/33*k**3 + 0*k**2 + 0*k. Factor a(g).
2*g**2*(g - 1)/11
Suppose -17 = -10*l + 13. Factor -22*n**3 + 12*n**2 + 52*n**3 + 3*n - 48*n**l + 3*n**2.
-3*n*(n - 1)*(6*n + 1)
Let x = -617 - -622. Let c(v) be the first derivative of 4/5*v**x + 12*v**3 + 0*v**2 - 6*v**4 + 0*v + 4. Let c(f) = 0. Calculate f.
0, 3
Let j = -198 - -188. Let r be (9 + (-9 - -1))*(-6)/j. Let 0 + 9/5*z + r*z**2 = 0. Calculate z.
-3, 0
Let b(l) be the third derivative of -9/20*l**5 - 27/2*l**3 - 27/8*l**4 + 0 - 1/40*l**6 + 0*l - 14*l**2. Solve b(o) = 0 for o.
-3
Let d(f) = -4*f**2 + 68*f - 107. Let w(h) = h**2 - 17*h + 27. Let a(m) = 6*d(m) + 26*w(m). Factor a(p).
2*(p - 15)*(p - 2)
Suppose -h + 3*h = 10. Solve 5*p - 2 + 0*p - h*p**2 + 6 + 6 = 0.
-1, 2
Suppose 30 - 21 = -5*w + 24. Factor 3/4*t - 3/4*t**5 + 0*t**w - 3/2*t**2 + 0 + 3/2*t**4.
-3*t*(t - 1)**3*(t + 1)/4
Let y(u) be the second derivative of 0 - 1/6*u**4 + 1/30*u**6 + 25*u - 4*u**2 - 3/20*u**5 + 2*u**3. Factor y(g).
(g - 2)**2*(g - 1)*(g + 2)
Let b(a) be the second derivative of -1/315*a**7 - 4/225*a**6 + 13*a + 0 - 2/75*a**5 + 1/9*a**3 + 2/15*a**2 + 1/45*a**4. Find z, given that b(z) = 0.
-2, -1, 1
Let t(z) be the first derivative of 4*z**3/21 + 10*z**2/7 + 24*z/7 + 83. Let t(g) = 0. Calculate g.
-3, -2
Suppose 4 = -2*h + 18. Factor 4*y**2 + 2 + 5*y + 6 + 0*y + h*y.
4*(y + 1)*(y + 2)
Determine h so that -297/7*h - 363/7 + 9*h**2 - 3/7*h**3 = 0.
-1, 11
Let w(s) be the first derivative of -3*s**4/10 - 362*s**3/15 - 12*s**2 - 516. Solve w(j) = 0 for j.
-60, -1/3, 0
Let h be -8 - 14/(-3675)*2105. Let l(y) be the third derivative of -h*y**7 + 0 - 9*y**2 - 1/30*y**6 + 0*y + 2/3*y**4 + 4/15*y**5 + 0*y**3. Factor l(j).
-4*j*(j - 2)*(j + 1)*(j + 2)
Let x(o) = 5*o - 2*o - 6*o. Let m be x(0). Solve 2/5*y - 2/5*y**5 + m - 4/5*y**2 + 0*y**3 + 4/5*y**4 = 0 for y.
-1, 0, 1
Let b be ((-2 - 4)/3)/(3/(-6)). Let d(m) be the first derivative of -1 - 1/5*m**5 + 0*m**2 - 1/6*m**6 + 1/3*m**3 + 1/4*m**b + 0*m. Let d(x) = 0. Calculate x.
-1, 0, 1
Let w be (-6 + (0 - 1 - -7))/2. Let y(a) be the third derivative of 1/210*a**5 + a**2 + 0*a**3 + w*a - 1/140*a**6 + 1/42*a**4 + 0. Solve y(l) = 0 for l.
-2/3, 0, 1
Let j(o) = 8 + o**2 + 18*o**3 - 22 + 13. Let i be j(1). Factor -3 - i*r**2 - r**3 + 12*r - 3*r**4 - r**3 + 5*r**3 + 9*r**3.
-3*(r - 1)**4
Let r(t) = t**2 - t. Let g(a) = 3*a**4 + 9*a**3 + 9*a**2 - 3*a. Let p(h) = g(h) - 3*r(h). Determine y so that p(y) = 0.
-2, -1, 0
Let i(p) = 2*p**2 + 10*p - 23. Let k = -87 + 80. Let w be i(k). Let 2/5 - v + 9*v**3 + 63/5*v**4 - w*v**2 = 0. Calculate v.
-1, -1/3, 2/7, 1/3
Suppose 0 = -h + 5 + 2. Let t(d) = -9*d**3 + 0*d + 3*d**2 - 6*d + 3*d**2. Let s(n) = 9*n**3 - 6*n**2 + 7*n. Let k(c) = h*t(c) + 6*s(c). Factor k(w).
-3*w**2*(3*w - 2)
Factor -18/5*u - 8 + 1/5*u**2.
(u - 20)*(u + 2)/5
Let u(f) be the third derivative of 5*f**8/336 - 11*f**7/42 + 5*f**6/12 + 172*f**2. Solve u(w) = 0.
0, 1, 10
Suppose 7*y + 1 = 2*y + 16. Factor 0 + 80/3*w - 35/3*w**y + 40/3*w**2 + 5/3*w**4.
5*w*(w - 4)**2*(w + 1)/3
Let b(x) be the first derivative of 0*x**2 + 6*x - 1/60*x**5 + 1/36*x**4 + 7 + 0*x**3. Let y(a) be the first derivative of b(a). Factor y(z).
-z**2*(z - 1)/3
Let w(j) = -j + 2. Let y be w(-6). Let q = 536 - 533. Find d such that -12*d**4 + 4*d**2 + 8*d**3 - 4*d + y*d**4 + q - 7 + 4*d**2 - 4*d**5 = 0.
-1, 1
Let u(b) be the first derivative of 4*b**3/3 + 16*b**2 - 36*b + 259. Find t, given that u(t) = 0.
-9, 1
Let f(d) be the second derivative of d**7/21 + 2*d**6/3 + 17*d**5/5 + 6*d**4 - 9*d**3 - 54*d**2 + 610*d. What is n in f(n) = 0?
-3, -2, 1
Let c = 20 + -20. Let h(s) be the first derivative of -5/6*s**4 + 14/15*s**5 + c*s - 2 - 4/9*s**3 + 0*s**2. Factor h(v).
2*v**2*(v - 1)*(7*v + 2)/3
Let j(y) be the first derivative of y**2 - 17 - 2/9*y**3 + 0*y. Determine x so that j(x) = 0.
0, 3
Let y(d) be the third derivative of d**8/1008 + d**7/315 - d**6/120 - 2*d**5/45 - d**4/18 - 135*d**2. Solve y(t) = 0.
-2, -1, 0, 2
Let l(r) = 8*r**3 - 6*r**2 - 18*r + 48. Let z(m) = -m**3 + 1. Let x(t) = t**3 + 5*t**2 - 13*t + 1. Let v be x(-7). Let b(n) = v*z(n) - l(n). Factor b(p).
-2*(p - 3)**2*(p + 3)
Let t = 148/65 + -27/13. Let x(a) be the first derivative of -2*a**2 + 3/4*a**4 - 6 + t*a**5 + 0*a**3 + 0*a. Factor x(k).
k*(k - 1)*(k + 2)**2
Let n(u) = u**3 + u**2 - 2*u + 11. Let x = 7 - 7. Let r be n(x). Suppose r + 18*o**2 + 3*o**3 + 7 + 6 + 0*o + 36*o = 0. What is o?
-2
Let y = -181/28 + 47/7. Suppose 9/4 + y*p**2 + 3/2*p = 0. What is p?
-3
Let x(b) be the third derivative of 0*b**3 - 1/15*b**6 + 1/35*b**7 - 23*b**2 - 2/15*b**5 + 0 + 0*b**4 + 0*b. Find h such that x(h) = 0.
-2/3, 0, 2
Let g(d) be the third derivative of 1/2*d**4 + 0*d - 8/3*d**3 - 2*d**2 - 1/30*d**5 + 29. Factor g(w).
-2*(w - 4)*(w - 2)
Let z be (-3 - -4 - -1) + 0. What is h in 2*h**z + 4*h**2 - h**2 - 5*h**3 = 0?
0, 1
Let g be 7/2 - 21/14. Factor 6*s**4 + 0*s + 0 + 3*s**g + 3/2*s**5 + 15/2*s**3.
3*s**2*(s + 1)**2*(s + 2)/2
Let p(n) be the second derivative of -n**7/2100 - n**6/225 + n**5/300 + n**4/15 + 3*n**3/2 + 11*n. Let c(k) be the second derivative of p(k). Factor c(m).
-2*(m - 1)*(m + 1)*(m + 4)/5
Let y(l) = 12*l**2 + l + 3. Let k be y(5). Determine o, given that 648*o**4 - 3*o**2 + 16*o + 3*o**2 - 188*o**3 - k*o**5 - 168*o**3 = 0.
-2/11, 0, 2/7, 1
Let s(r) be the second derivative of -1/24*r**4 + 37*r - 1/168*r**7 + 5/24*r**3 - 1/4*r**2 + 1/30*r**6 + 0 - 1/20*r**5. Factor s(b).
-(b - 2)*(b - 1)**3*(b + 1)/4
Suppose -5*c = y - 13, 0 = -358*c + 356*c - y + 7. Find n such that 32/5 + 2/5*n**c - 16/5*n = 0.
4
Suppose 4*m + 28 = -0*k + 2*k, -5*k + 4*m + 40 = 0. Let z be (-16)/(-10) - (-18)/45. Solve -g**z - 2*g**4 - 7*g**2 + 4*g + 3*g**4 - 4*g**5 + 7*g**k = 0 for g.
-1, 0, 1
Suppose -2 = 2*r - 8. Let p be 2/8 + (-99)/(-36). Factor -2*w + w**p + 4*w**2 + 3*w**r - 4*w**3 + 6*w**3.
2*w*(w + 1)*(3*w - 1)
Let s(o) = -o**2 - o - 1. Let j(u) = -84*u**3 - 1334*u**2 - 1210*u - 234. Let p(z) = -j(z) - 6*s(z). Let p(b) = 0. What is b?
-15, -2/3, -2/7
Suppose -m = -0*m + z - 2, -m + 4*z = -12. Factor 2*k**2 - 4*k**2 - 4*k + 1 + 1 - m.
-2*(k + 1)**2
Let c(g) be the second derivative of -g**5/4 + 85*g**4/6 - 160*g**3/3 + g + 28. Factor c(x).
-5*x*(x - 32)*(x - 2)
Let x = 4/15 - -2/5. Let q(z) be the first derivative of x*z**3 + 0*z - 2*z**2 + 3. Suppose q(a) = 0. Calculate a.
0, 2
Let k(o) = -o**4 - 14*o**3 + 9*o**2 + 14*o. Let i be ((-10)/25)/(2/20). Let c(f) = -f**4 + f**3 - f**2 - f. Let m(h) = i*c(h) - k(h). What is q in m(q) = 0?
-2, -1, 0, 1
Let z(s) be the third derivative of -s**5/210 + 16*s**4/21 + 65*s**3/21 + 354*s**2. Factor z(b).
-2*(b - 65)*(b + 1)/7
Let o(t) be the first derivative of 0*t**2 + 1/80*t**5 - 1/24*t**4 + 3*t + 1/24*t**3 + 5. Let q(h) be the first derivative of o(h). What is y in q(y) = 0?
0, 1
Let u(l) be the second derivative of l**8/5376 + 5*l**7/672 + 25*l**6/192 + 125*l**5/96 + l**4/2 - 24*l. Let b(i) be the third derivative of u(i). Factor b(r).
5*(r + 5)**3/4
Let q be (-4 - -1)/(-1 + 0). Factor -2*r**3 + 3*r**2 + 8*r**q - 214 + 211 - 6*r.
3*(r - 1)*(r + 1)*(2*r + 1)
Let p(y) be the third derivative of -2*y**7/105 - 19*y**6/30 - 7*y**5/3 - 17*y**4/6 + 14*y**2. Suppose p(x) = 0. Calculate x.
-17, -1, 0
Factor 3*n**4 + 144*n**3 - 3*n + 142*n**3 - 283*n**3 - 9*n**2 + 6.
3*(n - 1)**2*(n + 1)*(n + 2)
Let f(x) = -x**3 - 49*x**2 - 138*x + 2. Let m be f(-46). What is a in -1/7*a + 1/7*a**m - 6/7 = 0?
-2, 3
Let q(v) be the second derivative of -2*v**6/45 - 34*v**5/15 - 317*v**4/9 - 832*v**3/9 + 512*v