-7 + 0*l + n*l**2 - 4/9*l**3 - 1/6*l**4. Solve c(v) = 0.
-2, 0
What is d in -2/9*d**3 - 496/9 - 254/9*d**2 - 748/9*d = 0?
-124, -2, -1
Let b(s) = -5*s**3 + 8*s**2 + 17*s + 4. Let q be b(-6). Let m = 1270 - q. Solve 7/4*n**2 - 5/4*n**3 - 3/4*n + m + 1/4*n**4 = 0.
0, 1, 3
Suppose 58 = r + 51. Let t(a) = 2*a - r*a**2 - 4*a + 2 - 7*a. Let p(i) = -21*i**2 - 27*i + 5. Let n(x) = -4*p(x) + 11*t(x). Factor n(m).
(m + 1)*(7*m + 2)
Let m = -19970 + 20015. Let z(k) be the second derivative of 0*k**3 - 2/5*k**6 + 11/10*k**5 + m*k + 1/21*k**7 + 0*k**2 - k**4 + 0. What is v in z(v) = 0?
0, 1, 2, 3
Let s(v) be the first derivative of v**4/10 - 28*v**3 - 161. Let s(w) = 0. Calculate w.
0, 210
Let c = 236895 + -947579/4. Factor 5/2*t**4 + 10*t**2 + 0 + 4*t + 33/4*t**3 + c*t**5.
t*(t + 1)**2*(t + 4)**2/4
Let p = -329986/9 + 36670. Factor -p*d - 242/9 - 2/9*d**2.
-2*(d + 11)**2/9
Let h = -1107158 + 1107161. What is i in -1/2*i**h - 17/2*i + 15 - 6*i**2 = 0?
-10, -3, 1
Let l(y) be the second derivative of -y**6/150 + y**5/50 - y**4/60 - 1086*y + 1. Factor l(d).
-d**2*(d - 1)**2/5
Suppose 49/2*j**2 + 150*j + 126 + 1/2*j**3 = 0. What is j?
-42, -6, -1
Let q(f) be the second derivative of f**4/3 - 824*f**3 + 2470*f**2 + f + 3020. Factor q(l).
4*(l - 1235)*(l - 1)
Let w be ((-2)/11)/(63 - (-56000)/(-880)). Factor 116/7 - w*h**2 + 54/7*h.
-2*(h - 29)*(h + 2)/7
Let q be (0 + 0)/(-4 + 2). Let p(o) = -o**2 + 43. Let f be p(q). Let 73*i - i**2 - 35*i - f*i = 0. What is i?
-5, 0
Let x(j) = 15*j**4 - 255*j**3 - 2079*j**2 - 5769*j - 5598. Let q(l) = -l**4 + l**3 + 6*l**2 + l - 4. Let y(t) = 18*q(t) + x(t). Solve y(d) = 0 for d.
-70, -3
Let q(v) be the first derivative of -3*v**5/35 + 19*v**4/28 + 5*v**3/14 - 127*v - 138. Let z(i) be the first derivative of q(i). Factor z(a).
-3*a*(a - 5)*(4*a + 1)/7
Let s be 7 + (-8)/(88/143) + 9/1. Factor -2/3*g**s + 0 - 5/9*g**4 - 1/9*g**5 + 4/9*g**2 + 8/9*g.
-g*(g - 1)*(g + 2)**3/9
Let s(c) = -33*c**2 - 164*c - 50. Let v(a) = -132*a**2 - 654*a - 201. Let d(p) = 21*s(p) - 5*v(p). Factor d(j).
-3*(j + 5)*(11*j + 3)
Let 1075071 - 64029 + 301*v + 350*v + 387*v + 2*v**2 + 1806*v = 0. What is v?
-711
Let o(r) = -2*r**4 + 33*r**3 + 689*r**2 - 5534*r - 78388. Let m(t) = -3*t**4 + 50*t**3 + 1033*t**2 - 8300*t - 117580. Let n(c) = -5*m(c) + 8*o(c). Factor n(q).
-(q - 18)**2*(q + 11)**2
Let k = -55943 + 55947. Factor 3/2*f**3 - 1/2*f**5 - f**k + 0*f**2 + 0*f + 0.
-f**3*(f - 1)*(f + 3)/2
Let j be 2*-4 - ((-12)/84)/((-4)/(-26024)). Determine p so that 756*p**4 + 603*p**3 + 147*p**5 - j*p**2 + 2124/7*p - 216/7 = 0.
-3, 2/7
Let r(g) be the second derivative of 18*g + 14/3*g**3 + 6*g**2 + 2/5*g**5 + 1/30*g**6 + 23/12*g**4 + 1. Let r(i) = 0. Calculate i.
-3, -2, -1
Let t = 7932/7 - 39646/35. Solve 0 + 22/5*q + t*q**2 = 0.
-11, 0
Let x(c) be the first derivative of -c**6/150 + 8*c**5/75 - 8*c**4/15 + 11*c**2 + 2*c - 176. Let f(s) be the second derivative of x(s). Solve f(i) = 0.
0, 4
Let g(x) be the second derivative of x**4/48 + 335*x**3/4 + 1010025*x**2/8 - 322*x + 5. Solve g(m) = 0.
-1005
Let x(y) be the first derivative of y**6/21 + 8*y**5/35 - 10*y**4/7 - 160*y**3/21 + 64*y**2/7 + 512*y/7 - 2115. Suppose x(a) = 0. Calculate a.
-4, -2, 2, 4
Suppose 378238*t + 6*t**3 - 378553*t - 3*t**3 + 96*t**2 = 0. What is t?
-35, 0, 3
Let f(g) be the second derivative of -21/2*g**2 + 58*g + 13/4*g**4 - 3/10*g**5 + 0 + 4*g**3. Factor f(k).
-3*(k - 7)*(k + 1)*(2*k - 1)
Find p such that -4/3*p - 2/9*p**2 + 0 = 0.
-6, 0
Let l(z) be the first derivative of z**3/18 + 51*z**2/4 - 77*z/3 + 667. What is q in l(q) = 0?
-154, 1
Let z be (39 - 40)/(1/(-283)). Let h**5 + 6*h**2 + 8*h - 294*h**3 + 0*h**4 - 6*h**4 - z*h**3 + h**5 + 567*h**3 = 0. What is h?
-1, 0, 1, 4
Let u = 3 + -32. Let r = -26 - u. Let 4*z**4 + 18*z + 89 - 52*z - 22*z**r + 42*z**2 - 79 = 0. Calculate z.
1, 5/2
Let v(x) be the second derivative of -x**6/15 + x**4/4 - x**3/3 - 14*x**2 - 19*x - 1. Let r(q) be the first derivative of v(q). Factor r(t).
-2*(t + 1)*(2*t - 1)**2
Let z(f) be the third derivative of -f**6/24 - 293*f**5/60 - 113*f**4/6 + 38*f**3 + 42*f**2 - 5. Suppose z(c) = 0. Calculate c.
-57, -2, 2/5
Let l(q) be the second derivative of -q**4/48 + 1025*q**3/24 - 1023*q**2/4 - 887*q. Solve l(z) = 0.
2, 1023
Let x(d) be the first derivative of -4*d**5/15 - 3*d**4/2 + 5*d**3/3 + 6*d**2 - 9*d - 108. Let z(v) be the second derivative of x(v). What is l in z(l) = 0?
-5/2, 1/4
Factor 0 - 2/7*g**4 + 54/7*g - 78/7*g**2 + 26/7*g**3.
-2*g*(g - 9)*(g - 3)*(g - 1)/7
Let q(s) be the first derivative of s**6/270 + s**5/36 + s**4/12 - 44*s**3/3 - s + 50. Let l(z) be the third derivative of q(z). Determine n so that l(n) = 0.
-3/2, -1
Factor -2/7*v**3 + 5728/7*v + 1426/7*v**2 + 5736/7.
-2*(v - 717)*(v + 2)**2/7
Solve -3/2*c**2 - 144 - 33*c = 0 for c.
-16, -6
Let n(i) be the third derivative of -i**9/5040 + i**8/6720 + i**4/6 + 5*i**3/6 + 37*i**2. Let k(r) be the second derivative of n(r). Factor k(z).
-z**3*(3*z - 1)
Let x(z) be the first derivative of -z**6/4 - 2*z**5/5 + 121*z**4/8 + 61*z**3 + 31*z**2 - 140*z - 227. Find i such that x(i) = 0.
-5, -2, 2/3, 7
Suppose 4*l = 2*b - 42, -3*l + 63 = -6*b + 8*b. Find r, given that 53*r + b*r - r**2 - 3*r**2 - 400 = 0.
10
Let t(b) = b**2 + 4*b - 2. Let j(d) = d. Let y(q) = 4*j(q) - t(q). Let o(s) = -2*s**2 - 18*s + 2. Let h(v) = o(v) - y(v). Factor h(l).
-l*(l + 18)
Let t(l) be the third derivative of -l**7/420 - 2*l**6/15 - 19*l**5/12 - 8*l**4 - 75*l**3/4 - 792*l**2 - 2*l. Factor t(y).
-(y + 1)*(y + 3)**2*(y + 25)/2
Let p(k) be the second derivative of -5*k**7/42 + 7*k**6/2 + 42*k**5 - 3835*k**4/3 - 14880*k**3 + 51840*k**2 - 118*k + 3. Determine u so that p(u) = 0.
-8, 1, 18
Let t(s) be the first derivative of 7*s**4/36 + 16*s**3/3 - 14*s**2/3 - 68*s + 18. Let m(l) be the first derivative of t(l). Factor m(q).
(q + 14)*(7*q - 2)/3
Let m(g) be the first derivative of -5*g**4/8 - 5*g**3/2 + 45*g**2/2 - 8730. Determine b, given that m(b) = 0.
-6, 0, 3
Let f = -835 - -856. Determine c, given that 8*c**4 - f*c**2 - 5*c**5 - 85*c**3 + 40*c**3 + c**2 - 38*c**4 = 0.
-4, -1, 0
Let w(a) be the second derivative of 47 + 1/25*a**5 + 8/5*a**2 - 8/15*a**3 - 2*a - 1/15*a**4. Factor w(h).
4*(h - 2)*(h - 1)*(h + 2)/5
Let h(m) = 23*m**2 - 967*m + 45. Let q be h(42). Factor -3/2 - 3/2*g - 3/2*g**4 - 3/2*g**5 + q*g**3 + 3*g**2.
-3*(g - 1)**2*(g + 1)**3/2
Let l(p) = -p**3 + 15*p**2 - 8*p + 6. Let u(j) = -579*j**2 - 12*j - 2*j**3 - 6*j + 611*j**2 + 9 + 4. Let w(r) = -13*l(r) + 6*u(r). Solve w(s) = 0.
-1, 0, 4
Solve 24*v**4 + 3*v**5 - 969*v - 72*v**3 + 2000*v - 114*v**2 - 962*v + 90 = 0.
-10, -1, 1, 3
Determine x, given that -4*x**3 - 23*x**4 + 43*x**4 - 17*x**4 + 11*x**3 + 12*x**2 + 8*x**3 = 0.
-4, -1, 0
Let -290322/7 - 2/7*g**2 + 1524/7*g = 0. What is g?
381
Let r(x) be the second derivative of 5*x**7/42 - 5*x**6/6 - 7*x**5/4 + 25*x**4/12 + 5*x**3 + 2455*x - 2. Factor r(z).
5*z*(z - 6)*(z - 1)*(z + 1)**2
Let h be (-1 + (-2)/(-1) + -1)*11/22. Let q(s) be the first derivative of -1/6*s**3 + h*s - 1/4*s**2 - 19. Factor q(u).
-u*(u + 1)/2
Let c = -105522 + 105544. Find z, given that 12 - 59/2*z**3 + c*z + 9/2*z**5 - 15*z**2 + 6*z**4 = 0.
-3, -2/3, 1, 2
Let t(z) = 7*z**3 - 21*z**2 - 4*z - 6. Let h(a) = 13*a**3 - 39*a**2 - 9*a - 11. Let d(f) = -6*h(f) + 11*t(f). Factor d(n).
-n*(n - 5)*(n + 2)
Let o(f) = 2*f**2 + f + 1. Let p be o(-1). Let m be (-2 + -2)/(p/1*-1). Factor 2*c + 6*c**2 - 6*c - 5*c**m.
c*(c - 4)
Let y(h) be the first derivative of h**5/20 + 15*h**4/16 + 59*h**3/12 + 45*h**2/8 + 65. Suppose y(t) = 0. What is t?
-9, -5, -1, 0
Let g(h) = h**2 + 1. Let m(o) = -44*o**3 - 136*o**2 - 112*o - 12. Let n(b) = 4*g(b) - m(b). Factor n(w).
4*(w + 1)*(w + 2)*(11*w + 2)
Let r(j) be the third derivative of j**8/448 + j**7/120 - 17*j**6/240 - 11*j**5/20 - 17*j**4/12 - 4*j**3/3 - 635*j**2. Factor r(k).
(k - 4)*(k + 2)**3*(3*k + 1)/4
Let j(m) be the first derivative of -m**6/15 - 12*m**5/25 - 3*m**4/10 + 4*m**3/3 - 164. Let j(f) = 0. What is f?
-5, -2, 0, 1
Let r be (-6)/((-18)/15) + (-1 - -146). Factor -39*j - 232*j**3 - 2*j**5 + 2704 - 56*j**3 + 2518*j**2 - 4433*j + r*j**2 + 64*j**4 - 386*j**3.
-2*(j - 13)**2*(j - 2)**3
Let k(i) be the second derivative of -i**5/20 + 68*i**4/3 - 17653*i**3/6 - 5796