uppose 0 = -35*q + 49 + 56. Suppose 12*p**4 + 4*p**3 - 11*p**2 + 4*p**5 + 3*p**2 + 0*p**q + 4*p**4 - 16*p**2 = 0. What is p?
-3, -2, 0, 1
Let z(r) be the first derivative of -4*r**2 + 32*r**3 + 111 - 23*r**3 - 2*r**2. Suppose z(y) = 0. Calculate y.
0, 4/9
Solve 6/5*b**4 - 62/5*b + 102/5*b**2 + 28/15 - 166/15*b**3 = 0.
2/9, 1, 7
Factor 20/3*f**3 + 0*f - 1/3*f**2 + 7*f**4 + 0.
f**2*(f + 1)*(21*f - 1)/3
Let v(s) be the first derivative of -1/5*s**5 + 0*s + 0*s**3 + 68 - 3/4*s**4 + 0*s**2. Factor v(y).
-y**3*(y + 3)
Let i be 0 + (-3143)/49 - 4. Let z = -67 - i. Factor 2/7*h**2 + 0 - z*h.
2*h*(h - 4)/7
Let l(y) be the first derivative of -36 + 15/4*y**4 + 0*y + 5/3*y**3 - 15/2*y**2 - y**5. Factor l(i).
-5*i*(i - 3)*(i - 1)*(i + 1)
Let c(s) = 33 - 16 + 2*s - 16. Let u be c(5). Factor -3*v**4 + 3*v**4 - 3*v**4 + u*v**3 - 12*v**3.
-v**3*(3*v + 1)
Solve -12/5*b**3 - 2/5*b**4 - 4/5*b**2 + 2/5*b**5 + 6/5 + 2*b = 0 for b.
-1, 1, 3
Let h(k) = -15*k**3 + 30*k**2 - 33*k + 12. Let i = 215 + -213. Let l(p) = p**4 - 16*p**3 + 32*p**2 - 32*p + 11. Let a(x) = i*h(x) - 3*l(x). Factor a(f).
-3*(f - 3)*(f - 1)**3
Let z be (-42)/(-9)*3 - (17 - 23). Let q be 18/z*9/((-324)/(-48)). Factor 0 + 2/5*g**2 + q*g.
2*g*(g + 3)/5
Suppose -1141*m + 1151*m = 30. Suppose 2*n - 8 = m*u - 1, 5*u = -2*n - 1. Let -2/5*k**n - 36/5*k - 162/5 = 0. What is k?
-9
Let p(r) = 10*r**2 - 4*r + 3 - 28*r - r**3 + 44*r - 10*r. Let o = -2 + -1. Let v(d) = -11*d**2 - 2*d - 4. Let l(g) = o*v(g) - 4*p(g). Let l(f) = 0. What is f?
-1/4, 0, 2
Determine k so that 7*k**2 + 3*k**2 - 2295 + 54*k**3 - 946*k - 260*k + 3*k**4 - 7*k**2 - 15*k**2 = 0.
-17, -3, 5
Let f = 46438/5 - 9212. Let z = -194/9 - -2293/45. What is p in -36*p + 24/5 - z*p**3 + f*p**2 = 0?
2/7, 2
Factor -2939*k + 4*k**2 + 2927*k - 62 - 63 - 13 - 22.
4*(k - 8)*(k + 5)
Let w(r) be the first derivative of -1/12*r**3 + 157 - 13/8*r**2 + 12*r. Find n such that w(n) = 0.
-16, 3
Solve 3492 + 3756 - 276*t - 4*t**2 - 6680 = 0.
-71, 2
Let m(r) be the second derivative of 3*r**5/100 - 63*r**4/20 - 32*r**3/5 - 2*r + 1704. Factor m(n).
3*n*(n - 64)*(n + 1)/5
Let n(f) be the second derivative of f**5/140 - f**4/84 - 5*f**3/7 - 1374*f. Let n(c) = 0. Calculate c.
-5, 0, 6
Let g(w) = -4*w**2 - 2*w + 1. Let v(z) = -4*z**3 + 596*z**2 + 2362*z + 2363. Let q(j) = 5*g(j) + v(j). Determine i so that q(i) = 0.
-2, 148
Suppose -73*y + 69*y + 600 = 0. Suppose -26*k = -31*k + y. Solve -k - 13*d + 5*d**2 - 10*d**2 + 48*d = 0.
1, 6
Let v(m) = -1342*m - 158354. Let u be v(-118). Let 1/3*c**3 - 4/3*c + c**u + 0 = 0. What is c?
-4, 0, 1
Let q(r) = -r**3 + 9*r**2 + 10*r + 2. Suppose 4*v = -4*g + 3 + 33, -11 = -v + g. Let n be q(v). Factor 9*l**2 - 3 - l**2 - 2*l**n - 3*l**4.
-3*(l - 1)**2*(l + 1)**2
Let p be 2*(-3)/(-2) - (-15 + 8). Suppose o - 6*o + p = 0. Let 2646*f - 2646*f - f**4 - o*f**3 = 0. Calculate f.
-2, 0
Suppose -2*v = -2*r - 8, 8*r - v = 6*r - 4. Suppose -8*q - 9 = -9*q - c, r = 4*q + c - 21. Factor 56*h + 30*h**2 + 32 + 1/2*h**q + 13/2*h**3.
(h + 1)*(h + 4)**3/2
Let k be (98/18 - (42 - 36))*(-6)/10. Factor 1/6*c**4 - 1/6 - 1/3*c**3 + k*c + 0*c**2.
(c - 1)**3*(c + 1)/6
Suppose -67*j + 64*j - 2*g + 288 = 0, 191 = 2*j + g. Let n be (235/j)/((-1)/(-2)). Factor -56/5*p**3 - 36/5*p - 4/5*p**n + 24/5*p**4 + 8/5 + 64/5*p**2.
-4*(p - 2)*(p - 1)**4/5
Let u(s) be the third derivative of -s**8/90720 + s**7/7560 + 2*s**5/3 + 2*s**2 + 17. Let j(v) be the third derivative of u(v). Suppose j(y) = 0. Calculate y.
0, 3
Let m = 247601 - 247599. Let -2/13*x**4 + 16/13*x**m + 0*x - 32/13 + 0*x**3 = 0. What is x?
-2, 2
Let s(v) be the third derivative of -17*v**2 - 169/45*v**3 + 0*v - 13/90*v**4 + 0 - 1/450*v**5. Let s(b) = 0. What is b?
-13
Let o(c) be the third derivative of c**5/30 + 11*c**4/4 - 280*c**3/3 - 47*c**2 + 45. Suppose o(j) = 0. Calculate j.
-40, 7
Let g(i) be the third derivative of -i**7/420 + 55*i**6/48 - 3625*i**2. Factor g(t).
-t**3*(t - 275)/2
Let z(w) = -25*w + 279. Let j be z(11). Suppose t + 4 + j = 4*m, -5*t - 4 = -2*m. Factor t + 8/7*k**3 + 2/7*k**4 + 10/7*k**2 + 4/7*k.
2*k*(k + 1)**2*(k + 2)/7
Let q(b) be the third derivative of b**5/330 - 17*b**4/44 - 52*b**3/33 - b**2 - 195*b + 1. Factor q(t).
2*(t - 52)*(t + 1)/11
Let q(m) be the first derivative of m**6/2 - 126*m**5/25 + 6*m**4/5 + 66*m**3/5 - 39*m**2/10 - 72*m/5 - 511. Solve q(k) = 0 for k.
-1, -3/5, 1, 8
Let o(l) be the second derivative of -l**4/24 + 23*l**3/12 - 30*l**2 + 13*l + 1. Factor o(d).
-(d - 15)*(d - 8)/2
Let q(k) be the second derivative of 1/45*k**6 + 1/9*k**3 + 0*k**2 - 20*k + 1/10*k**5 + 1/6*k**4 - 1. Factor q(s).
2*s*(s + 1)**3/3
Suppose -408*z + 283*z + 250 = 0. Let i(g) be the first derivative of -1/5*g**5 + 19 + 1/2*g**4 - g**z + 1/3*g**3 + 0*g. What is l in i(l) = 0?
-1, 0, 1, 2
Let o(f) be the third derivative of 0*f + 0*f**4 + 1/150*f**5 + 6*f**2 + 1/840*f**8 + 0*f**3 - 1/300*f**6 - 1/525*f**7 + 0. Factor o(j).
2*j**2*(j - 1)**2*(j + 1)/5
Let c be (78/(-36) + (-3)/(-6))*-15. Suppose 6*a + 19*a = c. What is s in -a + 3/4*s**2 - 1/4*s**3 + 0*s = 0?
-1, 2
What is m in 150*m + 4*m**3 + 60*m**2 + 146*m - 192*m - 366 - 114 = 0?
-12, -5, 2
Let y(p) = -3*p - 108. Let g be y(-37). Suppose g*k**2 + 11*k - 5*k**2 - 6*k - 23*k = 0. Calculate k.
-9, 0
Let u(k) be the second derivative of -k**5/3 + 5*k**4/36 + 55*k**3/18 + 5*k**2 + 21*k - 7. Find l such that u(l) = 0.
-1, -3/4, 2
Let u be 12/28 + 57/(-133). Let j(c) be the third derivative of 1/40*c**5 + 1/8*c**4 + u + 0*c - 3/80*c**6 + 0*c**3 - 16*c**2. Factor j(y).
-3*y*(y - 1)*(3*y + 2)/2
Let g(q) = -3*q**2 + 31*q - 10. Let s be g(10). Let l = 7869/7 + -1124. Factor -l*k**2 + s + 1/7*k.
-k*(k - 1)/7
Factor -5*p**2 + 2487842 - 2487842 - 115*p.
-5*p*(p + 23)
Let i(o) be the first derivative of -o**3/4 - 447*o**2 - 266412*o - 7476. Find h, given that i(h) = 0.
-596
Let a(s) = s**3 + s**2 - 1. Let b(d) = -4*d - 59*d**2 + 0 - 211*d**3 - 40*d**3 - 5. Let z(r) = -5*a(r) + b(r). Solve z(c) = 0.
-1/8, 0
Let 40*v**2 - 65*v**2 - 428*v - 83 + 149*v**2 - 7 - 66 + 12*v**3 = 0. What is v?
-13, -1/3, 3
Suppose 939*k - 14604 - 3456 = 4476. Factor k + 3/2*c**2 - 15*c.
3*(c - 8)*(c - 2)/2
Suppose 3*x - 2*f - 814 = 0, 4*x + 2*f = 1292 - 230. Let o = x - 266. What is b in -2/3*b**o + 0 + 2/9*b**3 + 4/9*b = 0?
0, 1, 2
Suppose -4*v - 62 = -5*d, -4*d - v = -1 - 36. Suppose -5*l = 5*x - 30, 0 = 6*l - 3*l - x - d. Factor 6*p**2 - 2*p**2 + 4*p**3 - 8*p**2 - l*p**2.
4*p**2*(p - 2)
Suppose -330*n - 56 = -330*n - 4*r, -4*n = -5*r + 58. Find q such that 2/5*q**n + 0 - 36/5*q + 34/5*q**2 = 0.
-18, 0, 1
Let l(m) be the first derivative of -m**3/2 + 15*m**2 - 57*m/2 + 636. Factor l(q).
-3*(q - 19)*(q - 1)/2
Let l = -1769969/63 - -196664/7. Suppose -5*d = -0*d. Determine c so that -5/9*c**2 - 4/9*c**3 + d - l*c**4 - 2/9*c = 0.
-2, -1, 0
Let h be (6/(-8))/(5/(-20)). Suppose -177 = -20*v - 57. Suppose -7*a + a + v*a + h*a - 3*a**2 = 0. What is a?
0, 1
Determine x so that -351*x**2 - 496*x - 360 - 298*x - 168*x + 16*x + 21*x**3 - 416*x = 0.
-3, -2/7, 20
Let g(h) be the first derivative of 5*h**4/4 + 235*h**3/3 + 1320*h**2 - 2880*h - 1216. Solve g(a) = 0 for a.
-24, 1
Let f(p) = -1. Let x(o) = o**3 - 11*o**2 + 7*o + 39. Let i(k) = 6*f(k) + x(k). Let n be i(10). Suppose -109*c + c**n - 116*c + 219*c - c**2 = 0. What is c?
-2, 0, 3
Let w(j) be the first derivative of j**5/15 - 17*j**4/2 + 67*j**3/3 - 50*j**2/3 - 3452. Determine r, given that w(r) = 0.
0, 1, 100
Let r = -80132 + 560950/7. Suppose -1/7*c**2 - 169/7 + r*c = 0. What is c?
13
Let u = 7357 + -7353. Let c(x) be the first derivative of 0*x - 4/5*x**3 + 6/25*x**5 - 13 + 1/10*x**6 - 9/20*x**u + 6/5*x**2. Determine i so that c(i) = 0.
-2, 0, 1
Suppose f - 3038 + 389 = 0. Suppose -2653*t = -f*t. Factor -1/7*m**2 - 1/7*m + t.
-m*(m + 1)/7
Let i = 230759/64090 - 7/12818. Let -2/5*f**2 + i*f + 72/5 = 0. What is f?
-3, 12
Let m(a) = -846*a - 24532. Let d be m(-29). Solve -1/6*p**4 + 14*p**d + 43/3*p + 13/3*p**3 + 29/6 = 0.
-1, 29
Let d(y) = 2*y**2 + 620*y - 620. Let z be d(-311). Factor 11*f**3 + 16/3*f - 10/3*f**4 + 0 - 40/3*f**z + 1/3*f**5.
f*(f - 4)**2*(f - 1)**2/3
Factor -18224*t - 18188*t - 24*t**2 + 35928*t.
-4*t*(6*t + 121)
Let t = -652 - -653. Let f be -2 + t - (172/(-24) + 3). Let -7/6*c**2 + 1 + f*c = 0. What is