0*s**2 - 3*s**o + 2*s**3 + 2*s**3 - 3*s**4 = 0. What is s?
0, 1
Solve -315*a - 4*a**4 + 257*a**2 - 332*a**3 - 25*a - 98*a**2 + 139*a**2 + 378*a**2 = 0.
-85, 0, 1
Let g(j) be the second derivative of 1/720*j**6 + 23*j + 0 + 0*j**4 + 0*j**2 + 8/3*j**3 - 1/80*j**5. Let l(c) be the second derivative of g(c). Factor l(b).
b*(b - 3)/2
Let x(a) be the second derivative of a**7/84 + a**6/15 - 3*a**5/40 - 5*a**4/12 + 2*a**3/3 - a + 172. Determine o so that x(o) = 0.
-4, -2, 0, 1
Let j(r) be the third derivative of r**7/630 + 17*r**6/180 - 5*r**4/12 - r**3/6 - 77*r**2. Let x(i) be the second derivative of j(i). Factor x(s).
4*s*(s + 17)
Let p be (-126)/(-32)*3416/7686. Let q(m) be the second derivative of p*m**3 - 2*m - 5/16*m**4 - 3*m**2 + 0. Find x, given that q(x) = 0.
4/5, 2
Factor -2*h**3 + 2*h**3 - 63373*h**2 + 63246*h**2 + 4*h**3 - 5*h**3 - 610*h.
-h*(h + 5)*(h + 122)
Let r(o) be the third derivative of -o**5/240 + 11*o**4/24 + 15*o**3/8 - 44*o**2 - 10. Suppose r(k) = 0. Calculate k.
-1, 45
Let f(o) be the first derivative of 11*o**4/4 + 55*o**3/3 - o**2 - 7*o + 219. Let b be f(-5). Factor 1/5*h**b + h**2 + 4/5 + 8/5*h.
(h + 1)*(h + 2)**2/5
Factor -116*t**3 - 1705*t**4 - 1737*t**4 - 16*t**2 + 3504*t**4.
2*t**2*(t - 2)*(31*t + 4)
Let h(s) = -6*s**3 + 36*s**2 + 4*s - 35. Let u(y) = -y**3 + y**2 - y. Suppose 0 = 12*g - 14 + 26. Let d(o) = g*u(o) + h(o). Suppose d(x) = 0. What is x?
-1, 1, 7
Factor 152*l**2 + 31/2*l**3 + 480*l + 1/2*l**4 + 0.
l*(l + 8)**2*(l + 15)/2
Let p(l) = -54*l**2 + 3966*l - 1310763. Let d(o) = 17*o**2. Let y(v) = 3*d(v) + p(v). Factor y(g).
-3*(g - 661)**2
What is b in 1/2*b**4 + 3*b - 2*b**3 + 0 + 1/2*b**2 = 0?
-1, 0, 2, 3
Let y(o) be the first derivative of 4/11*o**2 - 6/55*o**5 + 0*o + 1/33*o**6 + 2/11*o**3 + 7 - 5/22*o**4. Find q such that y(q) = 0.
-1, 0, 1, 4
Let c(i) = i**3 + 11*i**2 - 124*i + 39. Let q be c(-18). Let r(y) be the second derivative of -1/20*y**4 - 27/10*y**2 + 8*y - 3/5*y**q + 0. Solve r(x) = 0.
-3
Solve 0 + 90*u**2 + 544/3*u - 1/3*u**3 = 0.
-2, 0, 272
Suppose -73*y + 78*y - 595 = 0. Let l be (-2)/8 + y*(-10)/(-280). Solve -16/5*a**2 - 8/5*a + 0 - 2/5*a**l - 2*a**3 = 0.
-2, -1, 0
Let w(l) be the first derivative of -22*l**3/3 - 31*l**2/3 + 4*l/3 - 690. What is t in w(t) = 0?
-1, 2/33
Let v(q) = q**2 + q + 2. Let f(j) = -37*j + 34*j - 210*j**2 - 64*j**3 + 101*j + 83*j - 40. Let k(l) = -2*f(l) - 4*v(l). What is o in k(o) = 0?
-4, 3/8
Let d(m) = -153*m**4 + 511*m**3 - 448*m**2 + 98*m + 1. Let o(t) = -76*t**4 + 254*t**3 - 224*t**2 + 50*t. Let f(r) = -4*d(r) + 9*o(r). Solve f(i) = 0.
1/9, 1/4, 1, 2
Let r = -13350 - -13355. Let u(o) be the third derivative of 0*o**3 + 0 + 1/30*o**6 - o**4 + 1/15*o**r + 32*o**2 + 0*o. Factor u(s).
4*s*(s - 2)*(s + 3)
Let s be ((-330)/(-1650))/(2/40*2). Let 6/11*k - 2/11*k**3 + 4/11*k**s + 0 = 0. Calculate k.
-1, 0, 3
Let -988*s - 984 + 373*s**2 + 391*s**2 - 768*s**2 = 0. What is s?
-246, -1
Factor h**5 - 18*h + 2*h**4 + 1312*h**2 + 17*h - 1314*h**2.
h*(h - 1)*(h + 1)**3
Suppose -6 = 3*s, b + 0*s + 4*s = 0. Suppose -5*v + b = -2. Factor -18*o**v + 6*o**2 + 13*o**2 + 2*o**3.
o**2*(2*o + 1)
Let q(x) be the third derivative of -x**6/240 + 7*x**5/30 + 125*x**4/48 + 8*x**3 - 23*x**2 + 11*x. Factor q(d).
-(d - 32)*(d + 1)*(d + 3)/2
Let s(g) = -14*g**2 - 1074*g - 145776. Let f(h) = -2*h**2 + h + 4. Let p(c) = 6*f(c) - s(c). Factor p(i).
2*(i + 270)**2
Let j = 0 + 2. Let y be (-8 + 4 - -3)*15/(-1). Solve 36*v + 5*v**3 - 7 - 41*v - 5*v**4 - 3 + y*v**j = 0.
-1, 1, 2
Let c = -64 + 66. Let -67*o**2 + 36*o**c - 4 + 35*o**2 = 0. What is o?
-1, 1
Find m, given that -484/7*m**2 - 4/7*m + 4/7*m**3 + 484/7 = 0.
-1, 1, 121
Let b = -7809 - -70285/9. Suppose 27*q - 2*q = 0. Determine o, given that 0*o + b*o**3 + 0*o**2 + q - 2/9*o**4 = 0.
0, 2
What is l in -5856/13 - 2/13*l**3 - 5852/13*l**2 + 11710/13*l = 0?
-2928, 1
Let a(f) be the second derivative of -f**5/4 - 85*f**4/12 + 665*f**3/6 - 575*f**2/2 + 1420*f. Find x such that a(x) = 0.
-23, 1, 5
Let t(y) be the third derivative of 1/112*y**8 - 29/40*y**6 - 2/35*y**7 + 0 + 5*y**2 + 0*y**3 - 6/5*y**5 + 0*y**4 - 9*y. Factor t(l).
3*l**2*(l - 8)*(l + 1)*(l + 3)
Let y(a) be the first derivative of a**4/4 - 11*a**3/3 - 21*a**2 + 250. Factor y(s).
s*(s - 14)*(s + 3)
Let j(q) be the second derivative of q**7/42 + 13*q**6/30 + 3*q**5/2 - 61*q**4/6 - 287*q**3/6 - 147*q**2/2 + 23*q - 46. Find x, given that j(x) = 0.
-7, -1, 3
Let z(w) be the third derivative of -26*w**2 + 1/36*w**4 + 0*w + 0 - 4/3*w**3 + 1/90*w**5. Solve z(a) = 0.
-4, 3
Let z be (27/(-36))/(2 + 19/(-8)). Solve -28 + 16 + 37 + 39 + 28*h**z - 88*h = 0 for h.
8/7, 2
Let i(u) be the first derivative of -1/2*u**3 - 21/4*u**2 - 157 - 9*u. Factor i(c).
-3*(c + 1)*(c + 6)/2
Suppose 0*z - 2*v = -4*z, -3*v + 6 = -3*z. Determine t, given that 206*t**2 + 65*t**5 - 40 + 905*t**3 - 400*t**4 - 910*t**2 - 206*t**z + 380*t = 0.
2/13, 1, 2
Let s = -82668 - -744014/9. Let -128/9 - s*u**3 - 136/9*u - 40/9*u**2 = 0. Calculate u.
-16, -2
Let f = 216 + 294. Let a be (f/(-595))/((-6)/14). Factor -12/13 + 10/13*m - 2/13*m**a.
-2*(m - 3)*(m - 2)/13
Suppose -122 - 88 + 25 = 37*o. Let m(w) = -2*w + w**2 + 0*w**2 - w. Let l(b) = 3*b**2 - 7*b. Let q(u) = o*m(u) + 2*l(u). Solve q(r) = 0 for r.
-1, 0
Let t(a) be the first derivative of -2/15*a**6 - 1/5*a**4 - 8/5*a**3 + 0*a**2 + 0*a + 158 + 16/25*a**5. Find k such that t(k) = 0.
-1, 0, 2, 3
Suppose -2 = -2*m - 2*w, -275*m - w - 24 = -279*m. Let x(o) be the third derivative of -6*o**2 + 0*o + 0 - 3/2*o**3 - 1/20*o**m - 1/2*o**4. Factor x(g).
-3*(g + 1)*(g + 3)
Let h be (3*3/(-9))/((-70)/144*272/340). What is g in 0 - h*g + 2/7*g**2 = 0?
0, 9
Let l(i) be the first derivative of 6*i**3 + 21/20*i**4 + 272 + 12/5*i**2 + 0*i. Factor l(w).
3*w*(w + 4)*(7*w + 2)/5
Let b(p) be the third derivative of 1/18*p**4 - p**2 + 1/45*p**5 + 0*p + 16 - 1/1008*p**8 - 1/120*p**6 - 2/315*p**7 + 0*p**3. Let b(f) = 0. What is f?
-2, -1, 0, 1
Let s(q) be the second derivative of 1/12*q**3 - 34*q - 1/8*q**2 + 2 - 1/48*q**4. Determine n so that s(n) = 0.
1
Let s(r) be the third derivative of r**6/240 + 71*r**5/15 - 571*r**4/16 + 5340*r**2. Solve s(d) = 0.
-571, 0, 3
Factor -1/5*u**3 - 16/5*u - 12/5 - 7/5*u**2.
-(u + 2)**2*(u + 3)/5
Let l = -9/28 + -53/532. Let u = l - -94/133. Factor 18/7*c**3 + 32/7*c + 48/7*c**2 + 0 + u*c**4.
2*c*(c + 1)*(c + 4)**2/7
Factor 9/5*c**3 - 1942/5*c**2 + 23328/5 + 104544/5*c.
(c - 108)**2*(9*c + 2)/5
Let t(j) = -2*j**3 + 11*j**2 - 11999*j + 59972. Let d be t(5). Factor 1/2*u**d - 19/2*u - 10.
(u - 20)*(u + 1)/2
Suppose 5 = -a, 1 = -2*r - 3*a - 2. Factor r*s**4 + 16*s + 34*s - 2*s**3 + 26*s**2 - 2 - 8*s**4 + 26.
-2*(s - 4)*(s + 1)**2*(s + 3)
Let r(d) be the second derivative of -8*d + 60*d**3 - 4050*d**2 - 11 - 1/3*d**4. Determine a so that r(a) = 0.
45
Factor -1/6*a**4 + 17/3*a**2 - 3/2*a**3 - 4*a + 0.
-a*(a - 2)*(a - 1)*(a + 12)/6
Let c(h) be the first derivative of h**3/24 - 49*h**2/16 - 51*h/4 + 2139. Suppose c(s) = 0. What is s?
-2, 51
Let h(a) = -a**3 - 5*a**2 + 5*a - 1. Let r = 94 + -100. Let b be h(r). Factor 3*t**b - t**5 - 6*t**4 - t**5 + 0*t**4 - 6*t**2 + 11*t**3.
t**2*(t - 3)*(t - 2)*(t - 1)
Let t(v) = v**3 - v**2 + 2*v - 1. Let a(i) = 758 - 7*i**2 - 3*i**3 + 12*i - 767 - 45*i. Let u(k) = a(k) + 4*t(k). Let u(h) = 0. What is h?
-1, 13
Solve 68/5*y**4 - 59392/5*y**2 - 786432 - 851968/5*y - 768/5*y**3 + 2/5*y**5 = 0.
-16, 30
Determine n so that -1/2*n**4 - 49/2*n**3 + 0 - 3087/2*n - 735/2*n**2 = 0.
-21, -7, 0
Let u = -397367/22 + 198744/11. What is s in 1 + 10*s**2 - 11/2*s**3 - u*s + 2*s**5 - 2*s**4 = 0?
-2, 1/2, 1
Let h(r) = 66*r**3 - 81*r**2 - 150*r - 6. Let n(d) = d**4 + 68*d**3 - 81*d**2 - 150*d - 4. Let q(y) = -2*h(y) + 3*n(y). Find c such that q(c) = 0.
-25, -1, 0, 2
Let a be (0 - 4) + ((-100)/(-10) - 0). What is q in -12*q**3 - a*q**4 + 30*q**5 - 13*q**5 - 6*q**2 - 4*q**2 - 18*q**5 - 3*q = 0?
-3, -1, 0
Suppose 10*z + 143*z + 133 + 3*z**2 - 82 - 51 = 0. What is z?
-51, 0
Let j(m) be the second derivative of -11*m**4/96 - 135*m**3/16 + 37*m**2/8 + 1677*m. Find h, given that j(h) = 0.
-37, 2/11
Let z(t) be the first derivative of -219122*t**3/9 - 1324*t**2/3 - 8*t/3 - 2376. Factor z(v).
-2*(331*v + 2)**2/3
Let n be (2/(-8))/(-1) + 60/16. Let y = -30 - -4