*c**5 - 6*c**2 - c**5 + 24*c**3 - 4*c**4 - 13*c**3 = 0. What is c?
-6, 0, 1
Suppose -4*i + 3*i + 923 = 919. Determine n so that -3 + 5/2*n**2 + 1/2*n**i - 5/2*n**3 + 5/2*n = 0.
-1, 1, 2, 3
Let h(y) = y + 3. Let u(x) = 2*x + 7. Let b(i) = -10*h(i) + 4*u(i). Let a be b(-2). Suppose -58*z**3 + 5 - a + 81*z**2 - 27*z - 23*z**3 = 0. Calculate z.
1/3
Let z(h) = -6*h**4 + 43*h**3 + 137*h**2 + 149*h + 47. Let p(s) = 3*s**4 - 21*s**3 - 69*s**2 - 75*s - 24. Let i(m) = 7*p(m) + 3*z(m). What is n in i(n) = 0?
-1, 9
Let j(t) = -16*t + 52. Let z be j(3). Let a(o) be the third derivative of 1/90*o**5 + 0*o + o**2 + 0 + 1/36*o**z + 0*o**3. Factor a(c).
2*c*(c + 1)/3
Let b = 39 - 24. Let u be b/4 + 1/4. Factor 13*f**3 + 2*f**4 + 2*f**2 + u - 9*f**3 - 4.
2*f**2*(f + 1)**2
Factor 8*i - 8700 - 4*i**2 + 8700.
-4*i*(i - 2)
Let a(d) be the second derivative of -5*d**4/12 + 35*d**3/3 - 245*d**2/2 - 38*d. Factor a(n).
-5*(n - 7)**2
Let m = 17 - 10. Suppose m*q - 2*q - 5 = 0. Let s(t) = 3*t**3 - 15*t**2 - 18*t - 6. Let y(a) = -a**3 - a - 1. Let r(f) = q*s(f) + 6*y(f). Factor r(c).
-3*(c + 1)*(c + 2)**2
Let u be ((-14)/(-10) - 1)*5. Let p be (-3*8)/(-4)*(-1)/(-3). Let o(b) = -b - 2. Let x(z) = -z**2 - z + 1. Let t(r) = p*o(r) + u*x(r). Factor t(s).
-2*(s + 1)**2
Let a be (9/(-6))/(1/(-2)). Factor 12 - 17*k**2 + 11*k + k**3 + 56*k**2 + 25*k + a*k**4 + 17*k**3.
3*(k + 1)**2*(k + 2)**2
Let -1/4*i**5 - 1/4*i**4 - 5/4*i + 3/4 + 3/2*i**3 - 1/2*i**2 = 0. Calculate i.
-3, -1, 1
Suppose -2*l + 96 = 4*i, -5*l + 192 = -0*l - 2*i. Suppose 39*x = l*x - 2. What is n in 1/4*n**x + 1/8*n**3 + 0 + 1/8*n = 0?
-1, 0
Let k(b) be the first derivative of 4*b**5/5 + 14*b**4 - 64*b**3/3 - 28*b**2 + 60*b - 9. Factor k(w).
4*(w - 1)**2*(w + 1)*(w + 15)
Let n(j) = -j**2 + 47*j - 2. Let u(a) = 4*a. Let b(l) = -4*n(l) + 44*u(l). Solve b(m) = 0 for m.
1, 2
Let a(v) = -65*v + 133. Let r be a(2). Factor -33/4*t**r + 3/2 + 45/4*t**2 - 27/4*t + 9/4*t**4.
3*(t - 1)**3*(3*t - 2)/4
Let l be (-2739)/(-35) - 3/(-5). Let z = 79 - l. What is y in 0*y + z - 1/7*y**2 = 0?
-1, 1
Let a(b) = b**2 + 66*b + 968. Let j be a(-44). Factor -1/11*p + j - p**3 + 5/11*p**4 + 7/11*p**2.
p*(p - 1)**2*(5*p - 1)/11
Let n(q) be the first derivative of q**6/360 - q**5/180 - q**4/18 + 2*q**3/9 + 6*q**2 - 6. Let p(c) be the second derivative of n(c). Factor p(v).
(v - 2)*(v - 1)*(v + 2)/3
Let l(g) be the first derivative of g**7/1470 - g**6/140 + g**5/35 - g**4/21 + 7*g**3/3 - 9. Let s(n) be the third derivative of l(n). Factor s(x).
2*(x - 2)**2*(2*x - 1)/7
Suppose -2*c = -m + 56 - 61, 17 = 2*c + 3*m. Let -1/12*h**3 - 1/12*h**c + 0 + 0*h + 1/12*h**2 + 1/12*h**5 = 0. What is h?
-1, 0, 1
Let l(i) = 2*i**2 + i - 1. Let c(t) = 3*t**3 + 310*t**2 + 7306*t - 5006. Let x(p) = c(p) - 6*l(p). Find v such that x(v) = 0.
-50, 2/3
Let b(p) = -p**2 + 40*p - 372. Let o be b(15). Factor 32/7*l**5 + 0 + 66/7*l**o + 20/7*l**2 + 2/7*l + 80/7*l**4.
2*l*(l + 1)**2*(4*l + 1)**2/7
Let f(t) be the second derivative of 2*t**7/21 + 6*t**6/5 - 21*t**5/5 + 11*t**4/3 - 31*t. Let f(d) = 0. What is d?
-11, 0, 1
What is z in 132/5 + 12*z - 3/5*z**2 = 0?
-2, 22
Let l(w) be the second derivative of 3/4*w**5 - 24*w - 10/3*w**3 + 0 + 25/12*w**4 - 10*w**2. Find r, given that l(r) = 0.
-2, -2/3, 1
Let f(b) be the second derivative of -b**4/8 + 2*b**3 + 15*b**2 + 177*b + 3. Solve f(t) = 0.
-2, 10
Let a = 6881/40 - 172. Let z(n) be the third derivative of -1/8*n**4 - 5*n**2 + 0 + 0*n**3 + a*n**6 + 0*n + 0*n**5. Factor z(o).
3*o*(o - 1)*(o + 1)
Let y(o) = -18*o**2 - 78*o + 33. Let h(n) = n**2 + 5*n - 2. Let a(l) = 33*h(l) + 2*y(l). Factor a(r).
-3*r*(r - 3)
Let f = -24/85 - -2053/6970. Let l = 79/246 + f. Solve 0*b**2 + 1/2*b - 1/6*b**3 - l = 0 for b.
-2, 1
Let l = -14309/6 - -2385. Find y, given that l*y + 0 + 1/6*y**2 = 0.
-1, 0
Let k(n) = 341*n**2 - 323*n - 18. Let f(v) = 227*v**2 - 215*v - 12. Suppose 4*q = 4*i - 6*i + 22, i = -5*q + 35. Let z(g) = q*f(g) - 5*k(g). Factor z(u).
3*(u - 1)*(37*u + 2)
Let x be (8*(1 + (0 - 2)))/(-18). Find w, given that x*w - 2*w**3 + 0 + 2/3*w**5 - 2/3*w**2 - 2/9*w**4 = 0.
-1, 0, 1/3, 2
Let g(c) be the second derivative of 5*c**7/42 + c**5/5 - 2*c**2 - 9*c. Let w(j) = -j**5 + j**4 + 1. Let b(y) = g(y) + 4*w(y). Suppose b(a) = 0. Calculate a.
-2, 0
Let m(j) = -j + 14. Let n be m(12). Let o(b) = 3*b + 2. Let q be o(n). Factor 6*s**2 + 2 - 8*s - 8*s**2 - q*s**3 + 18*s**2 - 2*s.
-2*(s - 1)*(2*s - 1)**2
Let u = -199 + 94. Let d be 2/(-8) + u/(-4). Factor 3*p + 0 + 12*p**4 + d*p**3 + 0 + p**3 + 18*p**2.
3*p*(p + 1)**2*(4*p + 1)
Let c(p) be the third derivative of p**5/30 - 23*p**4/6 - 19*p**2 - 1. What is d in c(d) = 0?
0, 46
Let u(d) be the third derivative of -d**7/6300 + d**6/900 + d**5/100 + 11*d**4/24 - 12*d**2. Let q(m) be the second derivative of u(m). Factor q(c).
-2*(c - 3)*(c + 1)/5
Let m(k) be the third derivative of -k**5/20 - 55*k**4/8 - 648*k**2. Factor m(b).
-3*b*(b + 55)
Suppose 5*q = -16 + 26. Let g(x) be the third derivative of 0*x - 1/2*x**3 - 1/40*x**6 + 0 - 3/8*x**4 - 3/20*x**5 + 6*x**q. Factor g(z).
-3*(z + 1)**3
Let j(a) be the third derivative of 0*a**3 - 31*a**2 - 1/60*a**6 - 7/30*a**5 + 0 + 0*a**4 + 0*a. Factor j(u).
-2*u**2*(u + 7)
Let c(x) be the third derivative of -x**6/60 + 11*x**5/60 - x**4/4 + 4*x**3/3 - 24*x**2. Let b be c(5). Suppose 0 - 2/3*i**b - 8/3*i + 8/3*i**2 = 0. What is i?
0, 2
Solve 0*o - 2*o**4 + 4/7*o**2 - 10/7*o**3 + 0 = 0 for o.
-1, 0, 2/7
Let t(c) = c**3 + 57*c**2 + 96*c - 765. Let a be t(-55). Let 0*y + 2/7*y**2 - 4/7*y**3 - 8/7*y**a - 2*y**4 + 0 = 0. What is y?
-1, 0, 1/4
Let u(k) be the second derivative of -k**8/1344 - k**7/1260 + k**6/144 + k**5/60 - 2*k**4/3 - 5*k. Let x(l) be the third derivative of u(l). Factor x(s).
-(s - 1)*(s + 1)*(5*s + 2)
Let v(r) be the first derivative of -1/30*r**4 - 3 - 2/15*r**3 + 0*r - 2/15*r**2. Factor v(s).
-2*s*(s + 1)*(s + 2)/15
Let o = 14031 - 14029. What is q in 0 + 1/8*q**o - 1/4*q = 0?
0, 2
Let b be -8*(38/(-18) + 2). Suppose -4135*y + 4080*y + 120 = 10. Solve -b - 2/9*j**y + 8/9*j = 0.
2
Suppose 0 = -423*q + 422*q - 47. Let o be q/(-34) - (400/68 - 6). Factor 0 - 3/2*i**2 - 1/2*i - 1/2*i**4 - o*i**3.
-i*(i + 1)**3/2
Let s = 8466 + -50795/6. Factor 0*b - 1/3*b**2 + 0 + s*b**3.
b**2*(b - 2)/6
Determine m so that 20/11*m - 2/11*m**2 + 0 = 0.
0, 10
Let h(p) be the first derivative of 0*p - 5/2*p**2 + 0*p**3 + 0*p**4 - 3 + 1/270*p**5. Let n(v) be the second derivative of h(v). Find d, given that n(d) = 0.
0
Let l = -890/3 - -297. Suppose -4/3*k**3 + 4/3*k + l + 2/3*k**2 - k**4 = 0. Calculate k.
-1, -1/3, 1
Let h(y) = 11*y**2 - 85*y + 91. Let v(i) = -2*i**2 + 14*i - 15. Let p(s) = -6*h(s) - 34*v(s). Factor p(j).
2*(j - 1)*(j + 18)
Factor -45877 + 19395 + 480*v + 12082 - 4*v**2.
-4*(v - 60)**2
Let t(q) be the second derivative of -q**7/21 - 173*q**6/15 - 1009*q**5 - 34143*q**4 - 126711*q**3 - 185193*q**2 - 55*q - 2. Factor t(u).
-2*(u + 1)**2*(u + 57)**3
Let m(r) be the first derivative of 1/20*r**4 + 1/100*r**5 + 5 - r - 1/30*r**3 - 1/150*r**6 - 1/5*r**2. Let t(k) be the first derivative of m(k). Factor t(q).
-(q - 2)*(q - 1)*(q + 1)**2/5
Let r(q) be the second derivative of q**5/100 - q**4/12 - q**3/5 + 2*q - 34. Factor r(u).
u*(u - 6)*(u + 1)/5
Let c(g) be the first derivative of 0*g**3 - 6*g - 3/4*g**2 + 4 + 1/8*g**4. Let i(k) be the first derivative of c(k). Factor i(b).
3*(b - 1)*(b + 1)/2
Let i(o) = -4*o**2 - 48*o + 52. Let a(v) = -2*v**2 - 24*v + 26. Let d(n) = -7*a(n) + 4*i(n). Factor d(q).
-2*(q - 1)*(q + 13)
Determine q so that -100/3*q - 5/3*q**3 + 20 + 15*q**2 = 0.
1, 2, 6
Solve -12*w**2 + 104 + 15*w**2 + 5*w**2 - 6*w**2 + 56*w = 0.
-26, -2
Let c = -4334 - -17547/4. Let f = 53 - c. Determine x, given that 0*x**2 + f*x**3 - 1/2*x**4 + 0*x + 0 + 1/4*x**5 = 0.
0, 1
Let j(i) be the third derivative of i**5/150 - 5*i**4/12 - 18*i**3/5 + 433*i**2. Determine k so that j(k) = 0.
-2, 27
Let x = 51 - 49. Solve -x*s**2 - 2*s**2 + 0 - 4*s + 8 = 0 for s.
-2, 1
Let m(u) be the third derivative of -u**6/210 - u**5/15 + 5*u**4/7 + 295*u**2. Let m(q) = 0. Calculate q.
-10, 0, 3
Let q(o) = 7*o**2 + 5*o - 27. Let g(t) = -5*t**2 - 4*t + 26. Let u(a) = 3*g(a) + 2*q(a). Factor u(l).
-(l - 4)*(l + 6)
Suppose -76*w - 338 - 2*w**2 + 5*w**2 - 10*w**2 + 24*w + 5*w*