w) = 0.
-3, 1
Factor -914353 + 113*v + 914785 + 119*v - 85*v + v**2.
(v + 3)*(v + 144)
Let x be (5/700)/(28/(-20) - -2). Let q(h) be the second derivative of 1/12*h**3 - 1/12*h**4 + 0 + 0*h**2 + 0*h**5 - x*h**7 + 1/30*h**6 + 4*h. Factor q(m).
-m*(m - 1)**3*(m + 1)/2
Let b(h) be the second derivative of 0 + 1/90*h**4 - 1/45*h**3 - 45*h - 2/15*h**2. Find n, given that b(n) = 0.
-1, 2
Let k(g) = 14*g + 3. Let s be k(0). Solve 2*p**3 + p**s + 18*p**2 + 25 + 36*p - 11 + 10 = 0 for p.
-2
Find v such that 35/4*v**2 - 3655/4*v + 390 = 0.
3/7, 104
Let v(m) be the second derivative of 5/4*m**3 + 35/8*m**2 + 0 - 5/48*m**4 - 36*m. Suppose v(q) = 0. What is q?
-1, 7
Let y(o) = 39*o**2 - 152*o. Let t(u) be the second derivative of 7*u**4/4 - 25*u**3/2 + 218*u + 2. Let j(z) = -11*t(z) + 6*y(z). Factor j(i).
3*i*(i - 29)
Let h(z) be the second derivative of z**4/54 - 3674*z**3/27 + 3374569*z**2/9 - 3*z - 473. Factor h(o).
2*(o - 1837)**2/9
Let a be (53 + 2)*((-24)/(-10))/4. Let r = a + -30. What is m in -5*m**5 + 3*m**5 + m**5 + 3*m - 6*m**3 - r + 4*m**5 - 3*m**4 + 6*m**2 = 0?
-1, 1
Suppose -32 = -20*k + 548. Let v(z) be the first derivative of 1/6*z**2 + k + 2/9*z**3 + 0*z**4 + 0*z - 2/15*z**5 - 1/18*z**6. Solve v(y) = 0.
-1, 0, 1
Let h be 15/10 - 3/(-6). Suppose -3*p = -h*p + 3*p. Factor 28*o**3 + p + 2 - 2*o**4 - 32*o**3 + 4*o.
-2*(o - 1)*(o + 1)**3
Suppose -2*m = -0*m - 3*a + 9, 3*m + 6 = 2*a. Let h = 456874 + -456874. Let m - 1/3*x**3 + h*x + 1/3*x**2 = 0. Calculate x.
0, 1
Let s = -173 - -192. Factor 11*l**2 + 11 - 2 + 13*l**3 - 14*l**3 - s*l.
-(l - 9)*(l - 1)**2
Let u(n) be the third derivative of 0 - 8*n**3 + 23/12*n**4 + 0*n + 1/30*n**5 + 65*n**2. Factor u(w).
2*(w - 1)*(w + 24)
Let l(f) be the first derivative of -f**4/28 - 82*f - 62. Let g(r) be the first derivative of l(r). Factor g(z).
-3*z**2/7
Suppose 3*m - 4*m + 520 = 4*h, -3*h = 3*m - 1605. Factor -3*p**5 + 216 + m*p + 20*p**4 + 7*p**5 + 145*p**3 + 450*p**2 - 3*p**5.
(p + 1)**2*(p + 6)**3
Let i(s) be the second derivative of -s**5/60 - s**4/4 + 5*s**3 - 1211*s. Factor i(p).
-p*(p - 6)*(p + 15)/3
Let r = -837 + 839. Let q(s) be the first derivative of 10 + 3/2*s**r + s**3 - 6*s. Determine z, given that q(z) = 0.
-2, 1
Let i be 20/8 - -1*(-6)/12. Suppose 15*l + 6*l + 3*l**3 + 24*l**i - 546 + 546 = 0. Calculate l.
-7, -1, 0
Let y = 156 + -152. Factor -2*v**4 - v**4 + 212*v**3 - 188*v**3 - 18*v**2 + y*v - 7*v**4.
-2*v*(v - 1)**2*(5*v - 2)
Let f = 11/5 - 33/5. Let s = f - -5. Let 3/5*y**3 + s - 3/5*y**2 - 3/5*y = 0. What is y?
-1, 1
Let j = -467 + 477. Let l be 0*2*j/20. Factor l - 2/11*z**3 - 2/11*z + 4/11*z**2.
-2*z*(z - 1)**2/11
Let n(m) be the third derivative of -m**6/30 + 308*m**5/15 + 931*m**4/6 + 1244*m**3/3 + 12*m**2 + 74*m. Suppose n(c) = 0. What is c?
-2, -1, 311
Let u(j) be the second derivative of 0 + 1323/4*j**2 + 1/8*j**4 - 21/2*j**3 + 64*j. Let u(z) = 0. Calculate z.
21
Let l(w) be the third derivative of 2*w**7/105 + 67*w**6/60 + 79*w**5/15 + 31*w**4/4 - 295*w**2 - 2. Factor l(j).
2*j*(j + 1)*(j + 31)*(2*j + 3)
Let d = 44 + -39. Suppose -d*a - u + 13 = u, 5*a - u = 1. Suppose 212*x**2 - 1 - a - 213*x**2 + 3*x = 0. What is x?
1, 2
Let r be 27/(-6)*3*-2. Suppose -3*i + 36 = r. Factor 2*w**2 + 0 - 4*w**i - 1/2*w**5 + 0*w + 5/2*w**4.
-w**2*(w - 2)**2*(w - 1)/2
Let c(j) = -14*j**4 - 2864*j**3 - 2828*j**2 + 22*j + 33. Let p(x) = -3*x**4 - 573*x**3 - 566*x**2 + 4*x + 6. Let g(h) = -2*c(h) + 11*p(h). Factor g(d).
-5*d**2*(d + 1)*(d + 114)
Let j(t) be the first derivative of 8*t**5/15 + 9*t**4/2 - 238*t**3/9 + 36*t**2 - 40*t/3 - 5293. Find q, given that j(q) = 0.
-10, 1/4, 1, 2
Suppose 4*b - 30 = -z, 5*z - 5914*b + 5912*b + 4 = 0. Suppose 0 + 1/2*t**3 + 0*t - t**z = 0. What is t?
0, 2
Let r(x) be the first derivative of -3*x**4/4 + 1460*x**3 - 799350*x**2 - 9686. Factor r(w).
-3*w*(w - 730)**2
Let q(m) be the third derivative of -m**6/480 - 53*m**5/240 - 91*m**4/12 - 169*m**3/6 - 477*m**2. Factor q(d).
-(d + 1)*(d + 26)**2/4
Let h(y) be the second derivative of y**8/10080 - y**7/315 + y**6/24 - 5*y**5/18 + 55*y**4/4 - 186*y. Let c(a) be the third derivative of h(a). Factor c(q).
2*(q - 5)**2*(q - 2)/3
Let l = 43 + -39. Let i be (-1516)/(-20) + (0 - l/(-20)). Determine y, given that 44*y - 1 - 2 - 13*y**4 + y**4 - 5 + 52*y**3 - i*y**2 = 0.
1/3, 1, 2
Let y(w) be the first derivative of -w**6/360 + 49*w**5/60 - 2401*w**4/24 - 38*w**3 - 136. Let k(h) be the third derivative of y(h). Factor k(x).
-(x - 49)**2
Let l(u) = 120*u**2 - 6*u - 5. Let x be l(-1). Suppose -119*i + x*i = 4. Let -b**3 - 7*b**2 + 11*b**i - 1 - 8*b**2 - 5*b - 1 = 0. Calculate b.
-2, -1
Solve 841 - i**2 + 1257 - 1576 + 1139 - 140*i = 0.
-151, 11
Suppose 5 = 22*h - 21*h. Factor -30*y**2 + 14*y - 24*y - h*y**3 + 15*y**2.
-5*y*(y + 1)*(y + 2)
Let z(p) be the second derivative of 1/12*p**4 - 1/15*p**5 - 23*p + 0 + 1/3*p**2 + 1/2*p**3. Factor z(o).
-(o - 2)*(o + 1)*(4*o + 1)/3
Let z(i) = 2*i**4 + i**3 + i + 8. Let v(u) = 4*u**4 + 76*u**3 - 308*u**2 + 244*u + 32. Let r(s) = -v(s) + 4*z(s). Solve r(c) = 0.
0, 1, 5, 12
Let f(j) = 6*j**3 - 76*j**2 - 62*j + 26. Let u(c) = c**3 - 2*c**2 - c + 1. Let i(g) = -f(g) - 6*u(g). Suppose i(l) = 0. Calculate l.
-1, 1/3, 8
Let v(u) = 5*u + 6. Let f be v(0). Suppose 0 = p - 13 + f. Let g**2 - 5*g**2 + p*g + 12 + g = 0. What is g?
-1, 3
Suppose 14*p - 104 + 2 = -37*p. Suppose 0 = -u + b - 3, -b = 3*u + 3*b - 12. Solve -1/3*j**5 + 0*j**3 + u*j**p + 0*j + 0 - j**4 = 0.
-3, 0
Let l(d) = 139*d - 7. Let x be l(4). Let k = -2741/5 + x. Find b, given that k*b**4 + 0 + 0*b**2 + 0*b - 8/5*b**3 + 4/5*b**5 = 0.
-2, 0, 1
Let t(q) = q**2 - 8*q + 15. Let d be t(6). Determine w, given that 8*w**d + 9*w**3 - 9 - 23*w**3 - 22*w**2 + 14*w**3 - w**4 + 24*w = 0.
1, 3
Let u(w) = -4*w**2 - 134*w + 4374. Let v(y) = y**2 + 23. Let n(s) = -2*u(s) - 10*v(s). Factor n(g).
-2*(g - 67)**2
Let j(o) be the second derivative of 2*o**7/21 - 44*o**6/15 + 91*o**5/5 + 134*o**4 - 384*o**3 - 1728*o**2 - 5*o + 5. Let j(l) = 0. Calculate l.
-3, -1, 2, 12
Let i = -4904 + 4907. Let g(d) be the first derivative of 0*d + 19 + 3/5*d**5 + 3*d**i + 0*d**2 - 3*d**4. Solve g(b) = 0.
0, 1, 3
Let w(c) be the first derivative of -10*c**7/21 + 25*c**6/6 - 21*c**5/2 + 15*c**4/4 + 95*c - 160. Let i(y) be the first derivative of w(y). Solve i(r) = 0.
0, 1/4, 3
Let h be 82 + -86 - 310/(-75). Let r(f) be the third derivative of 8/3*f**3 - 1/5*f**5 - 2/3*f**4 + 0*f + 0 + h*f**6 - 2/105*f**7 + 13*f**2. Factor r(m).
-4*(m - 2)**2*(m - 1)*(m + 1)
Let z(u) be the first derivative of u**6 + 8*u**3 + 3/2*u**4 + 0*u + 103 - 4*u**2 - 4*u**5. Solve z(l) = 0.
-1, 0, 1/3, 2
Suppose k + 5 = 1, 4*d - 4*k - 32 = 0. Suppose 2*w - 5*b - 10 = 14, -w + 18 = -4*b. Factor d*z - 4*z**3 - 21*z**w - 16 + 38*z**2 - z**2.
-4*(z - 4)*(z - 1)*(z + 1)
Suppose -29/3*g**2 + 4/3*g + 4/3*g**3 + 7 = 0. What is g?
-3/4, 1, 7
Let z(h) be the first derivative of 15 + 5*h**2 - 10*h**4 - 3*h**5 - 40*h + 85/3*h**3. Let z(v) = 0. What is v?
-4, -2/3, 1
Let t = 250596 - 250592. Let -1/4*d - 3/4*d**3 + 0 + 1/4*d**t + 3/4*d**2 = 0. Calculate d.
0, 1
Let f be (-1)/(-2)*(5 - (1 - -4)). Let d(c) be the second derivative of 1/15*c**6 - 3/10*c**5 + 0*c**2 + 0*c**4 + 0*c**3 + f + 15*c. Factor d(i).
2*i**3*(i - 3)
Let h(m) be the first derivative of -188/15*m**2 + 16/15*m - 529/30*m**4 + 460/9*m**3 + 74. Determine n so that h(n) = 0.
2/23, 2
Suppose 26*i - 2*w - 56 = 0, -160*i = -159*i + w - 14. Factor -3/7*z**i + 0*z**2 + 0*z - 6/7*z**4 + 0 - 3/7*z**5.
-3*z**3*(z + 1)**2/7
Let h(i) = -20*i**2 - 428*i - 417. Let q(v) = 9*v**2 + 214*v + 209. Let l(n) = 4*h(n) + 9*q(n). Factor l(a).
(a + 1)*(a + 213)
Let v(j) be the third derivative of 5/8*j**4 - 2/3*j**3 + 0*j + 1/15*j**5 + 17*j**2 + 0. Factor v(y).
(y + 4)*(4*y - 1)
Suppose 76 - 22 = 23*d - 15. Determine h so that -3*h**2 + 0 - 15/4*h**3 + 9/4*h**4 + d*h = 0.
-1, 0, 2/3, 2
Suppose -425*q - 77917 = -78767. Determine r, given that -4/3*r**3 - 20/9*r - 2/9*r**4 - 8/3*r**q - 2/3 = 0.
-3, -1
Let s = -50758/9 + 5640. Solve 4/9*r**4 - 4/9*r**2 + 2/9*r + 0*r**3 + 0 - s*r**5 = 0 for r.
-1, 0, 1
Let v(t) = t**3 + 5*t**2 + 12*t + 4. Suppose 0 = 53*x - 26*x - 189. Let l(d) = -3*d**3 - 10*d**2 - 21*d - 7. Let h(c) = x*v(c) + 4*l(c). Factor h(k).
-5*k**2*(k + 1)
