5/2*u**2 = 0.
0, 1
Let b be (0/(5 - 1))/(-2)*-1. Let u(q) be the third derivative of -1/18*q**3 - 6*q**2 + 1/36*q**4 + 0*q - 1/180*q**5 + b. Find p such that u(p) = 0.
1
Suppose -2*l + 30 = -2*n + 6*n, -3*l + 5*n = -1. Suppose -15*w**4 + 4*w**5 + 0*w**3 + l*w**3 + w**5 + 3*w**3 = 0. Calculate w.
0, 1, 2
What is g in -9*g**4 + 6 + 39*g**2 + 10*g**5 - 13*g**3 - 4*g**5 - 27*g + 8*g**3 - 10*g**3 = 0?
-2, 1/2, 1
Factor -493 + 725 + 4*g**2 - 218*g - 18*g.
4*(g - 58)*(g - 1)
Let o(i) be the second derivative of -1/60*i**6 + 1/24*i**4 + 2*i + 0*i**5 + 0*i**2 - 1/24*i**3 - 13 + 1/168*i**7. Find q such that o(q) = 0.
-1, 0, 1
Let w(d) be the first derivative of 3*d + 1/4*d**3 + 5 + 3/2*d**2. Let w(c) = 0. What is c?
-2
Let i(c) be the third derivative of -1/18*c**5 + 1/315*c**7 - 1/12*c**4 + 2*c**2 - 1/180*c**6 + 0*c**3 + 0*c + 0. Factor i(o).
2*o*(o - 3)*(o + 1)**2/3
Let d(x) be the second derivative of x**5/5 + 11*x**4 + 224*x**3 + 1960*x**2 - 159*x. Solve d(l) = 0.
-14, -5
Let m be 1 - ((8 - 11) + 0). Let i(y) be the first derivative of 3/8*y**m - 1 - 3/4*y**3 - 3/4*y**2 + 0*y. Suppose i(t) = 0. Calculate t.
-1/2, 0, 2
Let z(t) be the first derivative of t**5/90 - t**4/36 + 15*t**2/2 + 4. Let b(u) be the second derivative of z(u). Factor b(h).
2*h*(h - 1)/3
Let d(w) be the second derivative of 11/42*w**4 + 4/7*w**2 - 1/147*w**7 + 2*w - 1/35*w**6 + 19 + 1/70*w**5 + 4/7*w**3. Solve d(x) = 0.
-2, -1, 2
Let y be 0 + (-189)/56*-1. Let i(r) be the third derivative of 0 + 27/40*r**5 - y*r**4 + 0*r - 4*r**2 + 1/280*r**7 - 3/40*r**6 + 81/8*r**3. Factor i(t).
3*(t - 3)**4/4
Let h(k) be the second derivative of -3*k**7/14 + 17*k**6/30 - k**5/60 - 47*k**4/36 + 14*k**3/9 - 2*k**2/3 - 32*k. Find s such that h(s) = 0.
-1, 2/9, 2/3, 1
Let y(o) = -20*o**2 + 10*o + 178. Let p(v) = -7*v**2 + 4*v + 60. Let l(c) = 17*p(c) - 6*y(c). Find m, given that l(m) = 0.
-12, 4
Suppose -4*j - 359*j + 716 = -10. Determine b so that 1/5*b**4 + 0*b + 0*b**3 + 0 - 1/5*b**j = 0.
-1, 0, 1
Suppose -6*j - 48 = -9*j. Let k be (-2)/j*(-31 - -29). Factor -k - 1/2*y - 1/4*y**2.
-(y + 1)**2/4
Let b = 17 - 7. Factor 9 - b + 5*f**2 - 10*f + 6.
5*(f - 1)**2
Let c(g) be the first derivative of g**6/5 - 12*g**5/25 - 9*g**4/10 + 8*g**3/5 + 12*g**2/5 - 61. Factor c(s).
6*s*(s - 2)**2*(s + 1)**2/5
Let a(r) be the second derivative of -2*r**6/105 - 26*r**5/35 - 72*r**4/7 - 324*r**3/7 + 1458*r**2/7 - 5*r + 18. Factor a(t).
-4*(t - 1)*(t + 9)**3/7
Let j(d) be the first derivative of 3*d**4/4 - 15*d**3 - 108*d**2 - 228*d - 168. Factor j(m).
3*(m - 19)*(m + 2)**2
Let y(b) = -b**3 + 7*b**2 + 5*b + 26. Let m be y(8). Suppose 2*w**m + 2*w**2 - 32 - 26*w - 60*w + 58*w = 0. Calculate w.
-1, 8
Solve 31/4 + 15/2*a - 1/4*a**2 = 0 for a.
-1, 31
Suppose -2*a - 3*k - 11 = -2*k, 3*k = 2*a - 9. Let x be (-41)/(-13) - (0 - a). Suppose 0 - 2/13*h**3 + 4/13*h**2 - x*h = 0. What is h?
0, 1
Suppose 3*k - 4*k - 3*v = -53, -k - v + 43 = 0. Suppose 26*u + 9*u**2 - 16 + 27*u**2 + k*u = 0. Calculate u.
-2, 2/9
Let q = -2/255 + 6889/510. Factor -81/2 - q*d**2 - 81/2*d - 3/2*d**3.
-3*(d + 3)**3/2
Let f(z) = -z**2 + 22*z + 205. Let n be f(-7). Let p(g) be the first derivative of 3/2*g**3 - 3/2*g**2 + 6 - n*g - 5/16*g**4. Factor p(b).
-(b - 2)**2*(5*b + 2)/4
Let s(p) be the first derivative of -4*p**5/45 - p**4/3 + 4*p**3 - 26*p**2/9 - 56*p/3 - 449. Determine c, given that s(c) = 0.
-7, -1, 2, 3
Let h(b) be the third derivative of b**10/37800 - b**9/15120 + b**5/10 + 3*b**2. Let m(k) be the third derivative of h(k). Factor m(j).
4*j**3*(j - 1)
Let k = -35 - -6. Let t = k - -25. Let r(c) = 4*c**4 + 20*c**3 + 48*c**2 + 32*c. Let n(b) = b**3. Let j(o) = t*n(o) - r(o). Suppose j(y) = 0. What is y?
-2, 0
Let p be -9 + 453/51 - (-314)/68. Let n(v) be the first derivative of 6*v - p*v**2 - 5 + v**3. Factor n(c).
3*(c - 2)*(c - 1)
Let r(x) be the third derivative of x**6/120 + x**5/12 - x**4/24 - x**3/3 - 16*x**2. Let k be r(-5). Solve 0*d**2 + 1/5*d**k - 1/5*d + 0 = 0.
-1, 0, 1
Factor 74/3*i**2 - 38/3*i - 34/3*i**3 + 0 - 2/3*i**4.
-2*i*(i - 1)**2*(i + 19)/3
Suppose j - 3*j + 42 = 0. Solve -4 + 21*m + j*m**2 - 8 - 15*m**3 + 3*m = 0 for m.
-1, 2/5, 2
Factor 41*f - 26*f + 19*f + 48*f**2 - 3*f**3 + 17*f.
-3*f*(f - 17)*(f + 1)
Let l(i) be the second derivative of -2/55*i**5 + 0 - 5/66*i**4 + 2/33*i**3 + 1/55*i**6 - 6*i + 0*i**2. Solve l(f) = 0 for f.
-1, 0, 1/3, 2
Let a(r) be the second derivative of 7*r**5/20 + 5*r**2/2 + 4*r. Let d(y) = -4*y**2 + 8 + 4*y**2 + 0 + 11*y**3. Let z(q) = -8*a(q) + 5*d(q). Factor z(x).
-x**3
Suppose -1306*d = -1289*d. Let i(m) be the third derivative of 0*m**3 + 1/360*m**6 - 1/180*m**5 + 0*m - 1/36*m**4 + d + 3*m**2. Find h, given that i(h) = 0.
-1, 0, 2
Let v(b) = -2*b**3 - 11*b**2 - 20*b + 3. Let o(w) = -2*w**3 - 10*w**2 - 20*w + 4. Let f(u) = 3*o(u) - 4*v(u). Let f(j) = 0. Calculate j.
-5, -2, 0
Suppose 4*i + 33 = 9. Let b = i + 6. Let -2 + 4*f**2 + b - 3*f**2 + 1 = 0. Calculate f.
-1, 1
Let i(x) be the third derivative of -x**7/1050 - x**6/150 + x**5/50 + x**4/30 - x**3/6 + 26*x**2. Let i(u) = 0. What is u?
-5, -1, 1
Suppose 0 = -3*i - 9, v - 4*i = 3*v + 46. Let q = v - -19. What is s in 3*s - 2*s**q + s - s + 1 - 2*s**2 = 0?
-1/4, 1
Let x = 329 - 324. Let p be x + ((-105)/6)/7. Find d, given that -p*d - 25/4 - 1/4*d**2 = 0.
-5
Let j(o) be the second derivative of o**4/54 + 11*o**3/27 + 17*o - 5. What is f in j(f) = 0?
-11, 0
Let t(c) = 2*c**3 - 26*c + 27. Let d be t(3). Find q, given that -6*q + 21/4*q**d - 3/4*q**2 + 3/4*q**5 + 15/4*q**4 - 3 = 0.
-2, -1, 1
Let u(i) = 12*i**2 - 21960*i + 2772044. Let d(z) = z**2 - 1996*z + 252004. Let g(q) = 32*d(q) - 3*u(q). Factor g(k).
-4*(k - 251)**2
Let u be -5 - (15 - (2 - -20)). Suppose q + 1 = -2*t + 6, 2 = 2*t. Solve 1/9*g - 1/9*g**q - 1/9*g**u + 1/9 = 0 for g.
-1, 1
Let g(w) be the first derivative of -w**3/18 + w**2/4 - w/3 + 164. Suppose g(f) = 0. What is f?
1, 2
Let z(v) be the third derivative of -1/150*v**6 + 1/30*v**4 + 1/5*v**3 + 1/525*v**7 - 2/75*v**5 + 0 + v - v**2. Factor z(t).
2*(t - 3)*(t - 1)*(t + 1)**2/5
Suppose -2*b = -3*b - 19*b. Let y(q) be the third derivative of -q**2 + 1/20*q**4 + b*q + 1/150*q**5 + 2/15*q**3 + 0. Suppose y(w) = 0. Calculate w.
-2, -1
Let q be (-8)/(-12 - -4) + 2 + 1. Let u(o) be the third derivative of 0*o**3 - 1/30*o**6 - 1/3*o**q + 0*o + 0 + 6*o**2 - 1/5*o**5. Factor u(m).
-4*m*(m + 1)*(m + 2)
Let l(y) be the third derivative of -y**8/1344 - y**7/840 + 3*y**6/80 - 7*y**5/120 - 17*y**4/96 + 5*y**3/8 - 71*y**2. Suppose l(s) = 0. Calculate s.
-5, -1, 1, 3
Let x be (20/(-24) + 1)*(-80)/(-30). Let 8/9*r - 5/9*r**2 + x = 0. Calculate r.
-2/5, 2
Let i be 40/(-48) + (-5)/(-2). Let 0 - 1/3*r**4 - i*r**2 - 4/3*r**3 - 2/3*r = 0. What is r?
-2, -1, 0
Let w(y) be the third derivative of 0 - 1/60*y**6 + 1/60*y**5 - 1/210*y**7 + 0*y**3 + 0*y - 10*y**2 + 1/12*y**4. Find t, given that w(t) = 0.
-2, -1, 0, 1
Let b be (-32)/(-8) + 16/(-2)*1. Let c be (-75 + -5)/b*2/15. Determine h so that -10/3*h**2 + 2/3*h**3 + 16/3*h - c = 0.
1, 2
Let g(w) be the third derivative of w**5/330 + w**4/66 - w**3/11 + 2*w**2 + 29. Determine z, given that g(z) = 0.
-3, 1
Let y(i) be the second derivative of 1/28*i**4 + 11*i + 0 - 1/14*i**3 + 0*i**2. Suppose y(d) = 0. Calculate d.
0, 1
Let q(r) be the second derivative of -1/24*r**4 + 0 - 11/60*r**6 - 9/40*r**5 + 1/12*r**3 - 7*r - 1/21*r**7 + 0*r**2. Let q(k) = 0. Calculate k.
-1, 0, 1/4
Let m(f) be the second derivative of 5/8*f**3 - 1/4*f**2 + 17/48*f**4 - 5*f + 0. Factor m(h).
(h + 1)*(17*h - 2)/4
Let y be (-365)/(-292)*112/50. Find x, given that 12/5 + 28/5*x**3 - 18*x**2 + y*x = 0.
-2/7, 1/2, 3
Let u(h) be the third derivative of 1/570*h**5 + 1/76*h**4 + 0 + 0*h - 5*h**2 + 2/57*h**3. Factor u(g).
2*(g + 1)*(g + 2)/19
Let d(m) = m**4 + m**3 + m**2. Let g(h) = -11*h**3 + 4*h**5 + 0*h**3 - 6*h**3 + 2*h - h**4 + 3*h**2 + 3*h**3. Let z(w) = 2*d(w) + g(w). Let z(j) = 0. What is j?
-2, -1/4, 0, 1
Let q(h) be the third derivative of 5*h**8/336 + 13*h**7/42 + 49*h**6/24 + 79*h**5/12 + 145*h**4/12 + 40*h**3/3 + 100*h**2 + h. Find p, given that q(p) = 0.
-8, -2, -1
Let l be (5 - 10238/168) + (-2)/8. Let j = -166/3 - l. Suppose 2/7*r**4 - j*r**2 + 0 + 4/7*r + 0*r**3 = 0. What is r?
-2, 0, 1
Let t(a) be the second derivat