, 1, 4
Suppose 13*n - 32 = 11*n. Solve 6*a**3 + 3*a + n*a**2 - 17*a**2 - 8*a**2 = 0 for a.
0, 1/2, 1
Let z = -28 - -23. Let y(h) = -9*h - 41. Let s be y(z). Let -166*d + 166*d - s*d**4 + 4*d**2 = 0. What is d?
-1, 0, 1
Factor 272 - 2208*y - y**3 + 1844 + 75*y**2 + 18*y**2.
-(y - 46)**2*(y - 1)
Let a = 1971 - -570. Let q = a - 2539. Solve q*s + 0 + 1/3*s**2 = 0.
-6, 0
Let w(p) be the third derivative of p**5/360 + 239*p**4/36 + 57121*p**3/9 - 34*p**2 + p. Factor w(b).
(b + 478)**2/6
Let s(l) be the first derivative of -l**6/3 + 22*l**5/5 - 95*l**4/8 - 155*l**3/6 + 6*l**2 + 18*l - 328. Suppose s(q) = 0. What is q?
-1, -1/2, 1/2, 6
Suppose -1120*g - 1575*g = -5390. Factor -18/13*a - 12/13*a**g - 2/13*a**3 + 0.
-2*a*(a + 3)**2/13
Let t = 871035 - 7839299/9. Factor t + 14/9*q**3 + 8*q + 20/3*q**2.
2*(q + 2)**2*(7*q + 2)/9
Let k(s) be the third derivative of -s**6/240 - 527*s**5/120 - 1441*s**4 + 5808*s**3 + s**2 - 634*s + 1. Let k(r) = 0. Calculate r.
-264, 1
Suppose 30*o + 134 = 194. Let d(i) be the third derivative of -1/320*i**6 + 0 - 12*i**o - 3/160*i**5 + 0*i + 0*i**3 - 1/32*i**4. Factor d(s).
-3*s*(s + 1)*(s + 2)/8
Let k be -5 - -1 - 35/(-5). Factor 775*u**2 - 284*u**k - 79*u**2 + 200*u**3 - 108*u**2 + 3*u**4.
3*u**2*(u - 14)**2
Let j = 444 + -442. Suppose -9*r**2 + 18*r + 21*r - 9*r**j + 22*r**2 + 29*r = 0. What is r?
-17, 0
Let p(o) = -5*o**2 + 21*o - 10. Let k(q) = -55*q**2 + 230*q - 110. Let u = -72 + 7. Let j be u/1*(-3)/3. Let i(s) = j*p(s) - 6*k(s). Factor i(n).
5*(n - 2)*(n - 1)
Let i = 13605/2356 + -309/589. Factor 45/4*b**2 - 3/2*b**3 - 9/2*b - i.
-3*(b - 7)*(b - 1)*(2*b + 1)/4
Let m(d) be the third derivative of -d**5/270 - 215*d**4/54 - 46225*d**3/27 + 353*d**2 - d. Suppose m(i) = 0. Calculate i.
-215
Let n = -960 - -964. Let z be (6/(-9))/(2/(-72)). Solve z*o**2 + o**n - 6 - 3*o**3 - 33*o**2 + 15*o + 2*o**4 = 0.
-2, 1
Let d(i) be the third derivative of i**8/30240 + i**7/1890 + i**6/360 + i**5/15 + i**4/6 - 67*i**2. Let h(k) be the third derivative of d(k). Factor h(j).
2*(j + 1)*(j + 3)/3
Let b = 51 - -21. Let c = 75 - b. Find w, given that -w**4 - 11*w**3 - 57*w - 34*w - 54 - 45*w**2 + 10*w + 0*w**c = 0.
-3, -2
Let i(x) be the third derivative of x**7/70 - x**6/8 - 11*x**5/20 + 33*x**4/8 - 9*x**3 + 1045*x**2. Suppose i(a) = 0. Calculate a.
-3, 1, 6
Suppose -1210*m = -1090*m - 3600. Factor 3/4*f**2 - m*f + 300.
3*(f - 20)**2/4
Suppose -2*l + 5*h + 96 = 7*h, 5*h + 60 = l. Suppose 0 = -11*i + l + 16. Factor 25*z**3 + i*z - 31*z**3 + 12*z**4 - 10*z**4 - 2*z**2.
2*z*(z - 3)*(z - 1)*(z + 1)
Let r(n) be the third derivative of 2*n**2 + 2/3*n**4 + 1/3*n**5 - 10*n + 0*n**3 + 0 + 1/30*n**6. Determine v, given that r(v) = 0.
-4, -1, 0
Let c(y) = y**2 - 263*y + 1290. Let m be c(5). Factor 27/2*p - 3/2*p**2 + m.
-3*p*(p - 9)/2
Suppose -3*r + 1929 - 5550 = 0. Let o be 2/(-4) + r/(-34). Determine k so that 18*k**3 - 77 + 75*k**2 + 49*k + 89 + o*k = 0.
-2, -1/6
Solve 20*f**2 - 13*f - 244*f**3 - 52 + 224*f**2 - 2*f**5 + 4 - 10*f**5 - 19*f + 92*f**4 = 0 for f.
-1/3, 1, 2, 3
Let t(b) be the first derivative of -b**6/1080 - b**5/180 + b**4/9 + 16*b**3/3 - b**2 - 58. Let s(m) be the third derivative of t(m). Factor s(i).
-(i - 2)*(i + 4)/3
Determine k so that 237 - 82 - 80751*k**3 - 232*k + 305 + 80752*k**3 - 229*k**2 = 0.
-2, 1, 230
Let u(g) be the first derivative of 0*g - 7/12*g**3 + 1/4*g**4 - 1/4*g**2 - 78. Solve u(r) = 0.
-1/4, 0, 2
Determine q, given that -45 - 1/4*q**2 + 41/4*q = 0.
5, 36
Let n(g) be the first derivative of 0*g - 2/3*g**3 - 2/5*g**5 + 49 + g**4 + 0*g**2. Factor n(j).
-2*j**2*(j - 1)**2
Let p(z) = z**3 - 60*z + 48. Let q(r) = -6*r**3 + 432*r - 336. Let v(h) = 15*p(h) + 2*q(h). Factor v(f).
3*(f - 2)**2*(f + 4)
Let v(q) = 2*q**2 - q - 1. Let f(o) = -5*o**2 - 1066*o - 285154. Let p(x) = -3*f(x) - 6*v(x). Let p(c) = 0. What is c?
-534
Find v, given that -71/7*v - 138/7 - 1/7*v**2 = 0.
-69, -2
Let u(g) be the third derivative of -8/27*g**5 + 0 - 4/189*g**7 - 85*g**2 + 0*g**3 + 0*g + 11/90*g**6 + 1/756*g**8 + 8/27*g**4. Factor u(p).
4*p*(p - 4)**2*(p - 1)**2/9
Let l(f) be the first derivative of -f**4/4 - 14*f**3 - 117*f**2/2 + 935. Find p such that l(p) = 0.
-39, -3, 0
Let a(y) = 2*y**3 - 27*y**2 - 13*y - 12. Let d be a(14). Factor 26*z**3 - 18*z + 54 + 18*z**d - 56*z**3 + 32*z**3 + 72*z.
2*(z + 3)**3
Let c(w) = -4*w**4 + 51*w**3 + 80*w**2 - 2395*w + 15. Let p(m) = m**3 - m - 3. Let q(l) = -c(l) - 5*p(l). Find i, given that q(i) = 0.
-6, 0, 10
Let t be 0 - ((-78)/24 - (-2)/8). Suppose 0 = -4*x - 5*r + 123, 4*r - t*r + 24 = x. Factor -94*g**3 + 20*g**2 - x - 6*g**3 - 10*g + 74*g + 43.
-4*(g - 1)*(5*g + 2)**2
Let z(i) = i**3 + 25*i**2 - 53*i + 23. Let c be z(-27). Let w(s) = s**3 + 6*s**2 + 9*s + 6. Let k be w(c). Let 2/13*a**k + 0 - 12/13*a = 0. Calculate a.
0, 6
What is h in -2907*h + 1948*h + 1607*h + 52488 + 2*h**2 = 0?
-162
Let o(n) be the first derivative of n**6/3 - 2*n**5/5 - 21*n**4/2 - 22*n**3/3 + 68*n**2 + 120*n - 2818. What is v in o(v) = 0?
-3, -2, -1, 2, 5
Let q = 3 - -60. Find p such that 25 + 20*p**3 + 34*p**3 + 14*p**5 - q*p + 2 + 51*p**4 - 5*p**5 - 78*p**2 = 0.
-3, -1, 1/3, 1
Let h(q) be the first derivative of -3*q**5/20 + 19*q**4/4 - 95*q**3/12 - 13*q**2/4 + 12*q - 81. Suppose h(k) = 0. What is k?
-2/3, 1, 24
Suppose 5*t = -4*f + 46, 4*t - 37 = -3*f - t. Suppose f*u - 7 = 11. Factor -8/5*v**u + 8/5 + 4/5*v**3 - 4/5*v.
4*(v - 2)*(v - 1)*(v + 1)/5
Let t(o) = 3*o**2 + 53*o - 137. Let p be t(-20). Let r(l) be the first derivative of 7 - 216/5*l - 36/5*l**2 - 2/5*l**p. What is w in r(w) = 0?
-6
Let i(a) be the first derivative of -2*a**3/27 - 542*a**2/9 - 146882*a/9 - 9293. Solve i(c) = 0.
-271
Let l = -214799/3 - -71601. Factor 224/3*q + l*q**2 + 3136/3.
4*(q + 28)**2/3
Let m(n) be the first derivative of -n**3/24 + 1515*n**2/16 - 1513*n/4 + 4733. Find u such that m(u) = 0.
2, 1513
Let n = -1104 + 1159. Suppose 63 = n*v - 34*v. Determine j so that 2*j**v + 0 + 11/3*j**2 + 2*j + 1/3*j**4 = 0.
-3, -2, -1, 0
Suppose -3*z = 4*f - 7*f + 48, -5*z + 39 = 2*f. Factor 52 + 12*l**2 + f + 22 - 375*l - 23 + 25.
3*(l - 31)*(4*l - 1)
Factor 1350*h - 1458 - 1/2*h**4 - 517/2*h**2 - 25*h**3.
-(h - 2)**2*(h + 27)**2/2
Let m = -4799 + 115177/24. Let h(k) be the third derivative of -1/6*k**5 + 9*k**2 - 5/8*k**4 + m*k**6 + 0 + 0*k + 0*k**3. Factor h(y).
5*y*(y - 3)*(y + 1)
Let d(v) = -v**2 - 5*v + 6. Let f be d(1). Let x(o) be the third derivative of f*o + o**2 - 2/15*o**3 + 0 - 1/50*o**5 - 1/12*o**4. Factor x(l).
-2*(l + 1)*(3*l + 2)/5
Let r(a) be the second derivative of -a**7/14 + 48*a**6/5 - 57*a**5/4 - 1245*a. Find w, given that r(w) = 0.
0, 1, 95
Suppose 3*s - 2*s - 5*j = 18, 3*j + 18 = 3*s. Suppose -s*a + 20 = 5*g, 6 = -4*g - 2. Factor a*z**5 + 20*z - 8*z + 6*z**3 - 16*z**4 - 12*z.
2*z**3*(z - 1)*(5*z - 3)
Let w(f) be the second derivative of -f**5/30 - f**4/2 - 8*f**3/3 + 103*f**2/2 + 26*f + 1. Let u(h) be the first derivative of w(h). Factor u(j).
-2*(j + 2)*(j + 4)
Suppose 65 = 3*s + 5*n + 100, n = -5*s - 7. Let k(g) be the first derivative of -2/27*g**3 - 1/3*g**2 + 17 + s*g. Factor k(t).
-2*t*(t + 3)/9
Factor 41*i**2 + i - 36*i**2 - 97 + 4*i - 3.
5*(i - 4)*(i + 5)
Let g(z) be the first derivative of -7*z - 13/4*z**2 + 59 + 29/6*z**3 - 1/4*z**4. Suppose g(h) = 0. Calculate h.
-1/2, 1, 14
Factor 33/5*x + 3/5*x**3 + 21/5*x**2 + 3.
3*(x + 1)**2*(x + 5)/5
Factor 20/3*y + 1/3*y**2 - 7.
(y - 1)*(y + 21)/3
Let i(f) = -11*f - 33. Suppose 5*u = 10*u + 75. Let o be i(u). Find a such that -103*a + 294*a + 64*a**3 - 48*a**3 - o*a**2 - 64 + 97*a = 0.
1/4, 4
Let n(h) = -h**3 - 17*h**2 + 3*h + 84. Let x be n(-17). Determine i so that x*i**2 + 186*i**3 - 28*i**2 - 196*i**3 = 0.
0, 1/2
Let n(u) be the second derivative of -u**7/105 + 269*u**6/15 - 60211*u**5/5 + 8931059*u**4/3 + 36086579*u**3/3 + 90518849*u**2/5 + 2*u - 242. Factor n(p).
-2*(p - 449)**3*(p + 1)**2/5
Let u(i) be the third derivative of -55*i**2 + 0*i + 1/10*i**6 + 0 - 2/105*i**7 + 0*i**3 + 0*i**5 - 2/3*i**4. Suppose u(t) = 0. What is t?
-1, 0, 2
Let m(n) be the third derivative of 0*n**3 + 0 + 5/24*n**4 - 9*n**2 + 1/96*n**6 - 5/48*n**5 - 5*n. Determine o, given that m(o) = 0.
0, 1, 4
Let b(w) be the third derivative of 0*w + 3*w**3 - 11*w**2 + 17/20*w**5 + 0 + 1/70*w**7 