352/13 = 0. Calculate w.
-2, -1, 4, 22
Let r be (-3 + 6)*((-4)/(-3) + -2). Let c(p) = p**5 - p**4 + p**2. Let q(m) = m**5 - 2*m**4 + 4*m**3 - 3*m + 2. Let n(t) = r*c(t) + q(t). Factor n(i).
-(i - 1)**3*(i + 1)*(i + 2)
Let q be 3/(-15) - (-32)/10. Suppose 2*u = -3*m + 8, 136*m = 139*m - 2*u - 16. Factor -l**3 - 85*l - 2*l**3 + 101*l - m*l**2 - l**q + 16.
-4*(l - 2)*(l + 1)*(l + 2)
Let w = -15 + -41. Let d = w + 61. Let -2*c**d + 14*c**4 + 11*c**4 + 15*c**3 - 5*c**2 + 12*c**5 - 13*c + 8*c = 0. What is c?
-1, 0, 1/2
Determine c, given that 416*c**5 + 19840*c - 839*c**5 + 496*c**4 + 4344*c**2 + 9600 + 411*c**5 - 5388*c**3 = 0.
-1, -2/3, 3, 20
Factor 2/21*x**3 - 256/7*x**2 + 301088/21 + 24056/7*x.
2*(x - 194)**2*(x + 4)/21
Let s(p) = 5*p**3 - 15*p**2 + 6*p - 2. Let w(n) be the second derivative of -n**4/12 - n**2/2 + 11*n + 9. Let y(u) = 3*s(u) - 6*w(u). What is m in y(m) = 0?
0, 3/5, 2
Let q(v) be the first derivative of -v**7/147 - v**6/105 + v**5/70 + v**4/42 - 200*v + 87. Let w(t) be the first derivative of q(t). Let w(y) = 0. What is y?
-1, 0, 1
Factor -1551/2*n - 387/2 - 6*n**2.
-3*(n + 129)*(4*n + 1)/2
Let p(l) be the first derivative of -2*l**3/39 + 6*l**2/13 + 630*l/13 + 575. Factor p(u).
-2*(u - 21)*(u + 15)/13
Let 2*a**3 + 1517*a - 182*a + 109*a + 2*a**3 - 152*a**2 = 0. Calculate a.
0, 19
Factor 29*u - 349/4*u**2 - 119/4*u**4 + 351/4*u**3 + 1/4*u**5 + 0.
u*(u - 116)*(u - 1)**3/4
Let w = -11458/35 - -328. Let i = w + 38/385. Suppose 6/11*m**2 + 0*m - 2/11*m**3 - i = 0. What is m?
-1, 2
Let w(k) be the first derivative of -2*k**3/3 + 103*k**2/7 + 60*k/7 + 1119. Find j such that w(j) = 0.
-2/7, 15
Suppose -2100503 - 2465242 + 701505 + 111880*p - 2280909 + 33281*p - 1143*p**2 + 3*p**3 = 0. What is p?
127
Let o(f) be the first derivative of 45/2*f**2 + 70*f + 5/3*f**3 + 14. Find x such that o(x) = 0.
-7, -2
Let f be -1 - (-1*4/8 + 58/(-108)). Let l(q) be the second derivative of 29*q + 0 - 11/27*q**3 - 5/9*q**2 - f*q**4. Factor l(x).
-2*(x + 5)*(2*x + 1)/9
Suppose l + 0*c + 48 = -5*c, 3*l + c + 4 = 0. Factor -3/2*g + 3/2*g**3 + 9/2*g**l - 9/2.
3*(g - 1)*(g + 1)*(g + 3)/2
Suppose 3*h - 152 = 7*h. Let l = h + 40. Factor -21*n**4 + 16*n**4 - 2*n**l - 15*n**2 - 20*n - 25*n**3 - 23*n**2.
-5*n*(n + 1)*(n + 2)**2
Suppose -1183*g + 1225*g = 168. Factor -17/3*b**2 + b + 3*b**3 + 5/3*b**g + 0.
b*(b - 1)*(b + 3)*(5*b - 1)/3
Suppose -56*v = -60*v - 2*n, 4*v + n - 4 = 0. Find r, given that -1/3*r**3 + 5/3*r - 1/3*r**v - 1 = 0.
-3, 1
Find p such that -2/11*p**5 - 950/11*p - 488/11*p**3 - 1380/11*p**2 + 0 - 60/11*p**4 = 0.
-19, -5, -1, 0
Let n(r) be the first derivative of r**4/2 + 220*r**3 - 663*r**2 + 664*r + 10780. Let n(j) = 0. Calculate j.
-332, 1
Suppose 10*j - 97 = 33. Let p(r) be the first derivative of 0*r**2 + 2/5*r**3 - 3/20*r**4 + 0*r - j. Factor p(q).
-3*q**2*(q - 2)/5
Let x(u) = 529*u**2 - 3870*u + 7104. Let a(o) = -o + 8. Let l(t) = 30*a(t) - 5*x(t). Factor l(f).
-5*(23*f - 84)**2
Let b(y) be the first derivative of 16/3*y**4 + 196/3*y + 104/3*y**3 + 224/3*y**2 + 4/15*y**5 + 48. Factor b(f).
4*(f + 1)**2*(f + 7)**2/3
Suppose -5*y = 5*f + 620, -194 - 178 = 3*f - 5*y. Let p = -68 - f. What is o in 35*o**3 + 12 - 43*o**3 + 33*o**4 + 20*o - p*o**2 - 12*o**5 + 11*o**4 = 0?
-1, -1/3, 1, 3
Suppose 46 = 27*m - 5 - 3. Let a(b) be the second derivative of 28*b + 0 + 1/4*b**4 + 3*b**3 + 12*b**m. Factor a(o).
3*(o + 2)*(o + 4)
Let t(d) = -2*d + 59. Let i be t(10). Determine f, given that 22*f**3 - 220*f + f**3 + i*f**2 + 200 - f**2 - 4*f**4 - f**5 = 0.
-5, 2
Let m(n) be the first derivative of 15*n**5/2 + 57*n**4 + 237*n**3/2 + 177*n**2/2 + 12*n - 1093. Find x such that m(x) = 0.
-4, -1, -2/25
Factor -2/9*w**5 + 0 + 187/9*w**4 - 29791/9*w - 651*w**3 + 62465/9*w**2.
-w*(w - 31)**3*(2*w - 1)/9
Let b = 632 + -632. Let y be (-3)/(-12)*b + (-27)/(-15). Determine q, given that -2/5 - 7/5*q - q**3 - y*q**2 - 1/5*q**4 = 0.
-2, -1
Let q be (-10)/(1484/(-318) + 2/3). What is s in 10*s**3 - 15*s - 5/2*s**2 + 0 - q*s**4 = 0?
-1, 0, 2, 3
Let o(n) = -9*n**2 + 106*n - 142. Let t(u) = -17*u**2 + 222*u - 286. Let f(c) = 9*o(c) - 5*t(c). Solve f(s) = 0.
1, 38
Let s(k) = k**2 - 10. Suppose -4*j - j + 10 = 0. Let h(w) = 2 + 1 - 1. Let p(x) = j*s(x) + 10*h(x). Factor p(n).
2*n**2
Let c(a) = 97*a**2 + 12*a - 6. Let n(l) be the third derivative of -4*l**5/5 - l**4/4 + l**3/2 + 9*l**2 - 1. Let z(t) = 3*c(t) + 7*n(t). Factor z(m).
-3*(3*m + 1)*(5*m - 1)
Suppose 5*z - 6 = 9, 5*k + z = 573. Suppose k*v - 8*v**2 + 245*v**2 - 126*v**2 + 21*v**3 + 24 = 0. What is v?
-4, -1, -2/7
Let -2/3*r + 1/3*r**2 - 5 = 0. Calculate r.
-3, 5
Let k(z) be the first derivative of -z**5/60 - z**4/6 - z**3/2 - 37*z**2/2 - 103. Let j(g) be the second derivative of k(g). Factor j(d).
-(d + 1)*(d + 3)
Let k(g) be the third derivative of 3*g**7/35 - 13*g**6/100 - 47*g**5/75 - g**4/3 + 8*g**3/15 + 1907*g**2. Suppose k(u) = 0. Calculate u.
-2/3, 1/5, 2
Let i(n) = -n**3. Let r(m) = 4*m**3 - 32*m**2 - 38*m + 68. Let h(o) = -2*o**3 + 4*o**2 + 16. Let c be h(3). Let g(j) = c*r(j) - 4*i(j). Factor g(t).
-4*(t - 17)*(t - 1)*(t + 2)
Let x(h) be the second derivative of -1/4*h**4 + h**3 + 12*h**2 - 3*h + 14. Determine b so that x(b) = 0.
-2, 4
Let u = 350199/5 - 70036. Factor 2/5*x**2 - 2 + u*x.
(x + 10)*(2*x - 1)/5
Factor 0 - 115194*l**3 + 964*l**4 + 37839*l**2 + 0 - 2*l**5 + 80624*l - 271127*l**2 - 197752*l.
-2*l*(l - 242)**2*(l + 1)**2
Let -1/5 - 16/5*a**2 - 8/5*a = 0. What is a?
-1/4
Let c(g) = 2*g**2 - 148*g + 24. Let r(f) = -18*f + 2. Let n(d) = -c(d) + 12*r(d). Suppose n(y) = 0. Calculate y.
-34, 0
Suppose 3*b = -4*b + 56. Suppose 3*k - b + 2 = -3*m, 0 = 3*m + 2*k - 6. Solve -9*w**2 + 39*w**3 + 9*w**4 - 2 - 6*w - 33*w**3 + m = 0 for w.
-1, -2/3, 0, 1
Let b be ((-7)/((-1995)/(-76)))/(8 + -6)*-3. Factor -2/5*j**3 + b*j + 1/5*j**4 - 1/5*j**2 + 0.
j*(j - 2)*(j - 1)*(j + 1)/5
Let g be 3/(-6) + ((-130)/(-60) - 28/(-14)). Factor -7/3*n**2 - 1/3*n**3 - g*n - 5/3.
-(n + 1)**2*(n + 5)/3
Suppose -8*x + 4*x = -64. Suppose -x*a = -17*a + 3. Let -8*s**a - 4*s**3 - 33*s**5 + 8*s + 37*s**5 - 4*s**4 + 4*s**2 = 0. Calculate s.
-1, 0, 1, 2
Let a(z) be the first derivative of -2/3*z**6 + 0*z**2 + 0*z + 0*z**3 + 46 + 0*z**4 - 4/5*z**5. Find g, given that a(g) = 0.
-1, 0
Let k = 1028149/5 - 205628. Factor -1/5*s**4 - k*s**3 + 0 + 9/5*s + 1/5*s**2.
-s*(s - 1)*(s + 1)*(s + 9)/5
Let u = 221/529 + -110819/74060. Let m = 9/28 - u. Factor 9/5*j**2 + m + 1/5*j**3 + 3*j.
(j + 1)**2*(j + 7)/5
Let w(u) = 6*u**3 + 66*u**2 - 108*u - 180. Let j(r) = -9*r**3 - 131*r**2 + 215*r + 357. Let n(t) = 3*j(t) + 5*w(t). Factor n(p).
3*(p - 19)*(p - 3)*(p + 1)
Let p(z) be the third derivative of z**9/12096 + z**8/840 + 131*z**3/6 - 21*z**2. Let n(x) be the first derivative of p(x). Factor n(d).
d**4*(d + 8)/4
Suppose 2/3*u**3 + 1922 + 2294/3*u + 130/3*u**2 = 0. What is u?
-31, -3
Factor -5*b**5 + 311968*b - 112*b**3 + b**4 - 71*b**4 - 311968*b - 360*b**2 - 188*b**3.
-5*b**2*(b + 2)*(b + 6)**2
Let a(l) be the second derivative of 3*l + 1/10*l**5 - 1/15*l**6 - 4 + 0*l**2 + 1/3*l**4 + 0*l**3. Factor a(k).
-2*k**2*(k - 2)*(k + 1)
Let w(f) = 8 + 13*f + 9*f - 58*f - 20*f**2 + 10*f + 14*f. Suppose 0 - 5 = -o. Let j(v) = -13*v**2 - 8*v + 5. Let p(z) = o*w(z) - 8*j(z). Factor p(l).
4*l*(l + 1)
Let s(j) be the second derivative of -2*j - 1/4*j**4 - 21 - 9/2*j**2 - 2*j**3. Factor s(x).
-3*(x + 1)*(x + 3)
Let j be (15 - 5) + 10/4*-2. Determine p so that -281*p**3 - 111*p**3 - 4*p**j - 324 + 211*p + 248*p**2 + 76*p**4 + 185*p = 0.
-1, 1, 9
Solve -116*d + 54 + 208*d + 455 - 3*d**2 + 343*d + 373 = 0 for d.
-2, 147
Let j(v) = -5*v**2 + 381*v + 722. Let w(b) = 15*b**2 - 1142*b - 2174. Let s(p) = -17*j(p) - 6*w(p). Factor s(l).
-5*(l - 77)*(l + 2)
Find i such that 38 + 328 + 12*i**2 - 8*i**2 + 414 + 4*i**3 - 788*i = 0.
-15, 1, 13
Let k = 1554517 - 4663549/3. Factor -k*s**2 + 88/3*s - 968/3.
-2*(s - 22)**2/3
Let r(q) = -40*q**3 - 42*q**2 - 54*q - 52. Let j be r(-1). Determine p so that 1/3*p**4 - 1/3*p**2 + j + 2/3*p**3 + 0*p - 2/3*p**5 = 0.
-1, 0, 1/2, 1
Let d = 198 + -196. Factor -20*q**2 - 22*q**3 - 8*q**4 - q - 7*q + d*q.
-2*q*(q + 1)**2*(4*q + 3)
Let f(o) be the first derivative of 112 - 1/3*o**3 - 5/2*o - 41/8*o**2. Find v such that f(v) = 0.
-10, -1/4
Let o = 4