.
-1, 1, 2
Let s be (13/(-26)*424/2)/2. Let d = s + 58. Find n, given that 24 + d*n**2 + 7*n - 3*n + 31*n + 6 = 0.
-6, -1
Suppose 37*b = 2070 + 9141. Let j = -303 + b. Suppose 2/7*t**3 + j*t + 6/7*t**4 - 2/7*t**5 + 0 - 6/7*t**2 = 0. What is t?
-1, 0, 1, 3
Let c(n) = n + 11. Let d be c(-8). Suppose -7*l - 200 = -5*b - 12*l, -3*b = -4*l - 148. Suppose -13*p + b*p - 16*p + d*p**2 + 12 = 0. Calculate p.
-4, -1
Suppose 76 + 139 + 349*q**2 - 13*q - 350*q**2 - 47 = 0. Calculate q.
-21, 8
Let o = 9 + -6. Solve 5*n**o - 51*n + 3*n**3 + 48*n**2 + 12 - 17*n**3 = 0.
1/3, 1, 4
Let p be 7 + (20 - (-2800)/(-125)). Suppose 14/5*v + 0 + p*v**2 + 1/5*v**4 + 2*v**3 = 0. What is v?
-7, -2, -1, 0
Let c be ((-15)/6)/(-1*6) - (130/(-60))/(-13). Factor 0 - c*h**2 + 0*h.
-h**2/4
Let x(c) = 2*c**3 + 25*c**2 - 16*c - 29. Let v be x(-13). Let r(s) be the first derivative of -12*s**2 - 117/5*s**3 - v - 12/5*s - 243/20*s**4. Factor r(q).
-3*(q + 1)*(9*q + 2)**2/5
Suppose -44*q + 39*q + k + 50 = 0, -3*q = k - 22. Solve -8*w**3 + 13*w**5 + 300*w - 8*w**5 - 398*w**2 - q*w**5 + 78*w**2 + 32*w**4 = 0 for w.
-3, 0, 1, 5
What is s in 72/5*s + 32/5 - 1476/5*s**3 - 576/5*s**5 - 772/5*s**2 + 544*s**4 = 0?
-1/4, 2/9, 1, 4
Let 3/7*s**5 - 107/7*s + 30*s**2 - 24*s**3 + 44/7*s**4 + 18/7 = 0. What is s?
-18, 1/3, 1
Let h(k) be the third derivative of 3125*k**8/336 - 275*k**7/3 + 151*k**6/6 - 2*k**5 + k**2 - 20. Suppose h(c) = 0. What is c?
0, 2/25, 6
Let q = -565 + 567. Let -q*z**3 - 10*z**2 - 3*z**3 - 50*z**2 + 2*z**3 - 45*z**2 = 0. What is z?
-35, 0
Let g(z) be the first derivative of 121*z**6/9 - 88*z**5/3 - 43*z**4/6 - 4*z**3/9 - 1609. Find k, given that g(k) = 0.
-1/11, 0, 2
Let j(p) be the first derivative of -25/3*p**3 + 25*p + 5/4*p**4 - 131 - 5/2*p**2. Solve j(q) = 0 for q.
-1, 1, 5
Let o be 5 + (-5)/(-5) - 0. Factor 25*k + k**2 - 16 - 5 + o - 11.
(k - 1)*(k + 26)
Suppose -33*o = 13*o - 1012. Let i(s) = -2*s**2 + 49*s - 110. Let k be i(o). Let -3*t**4 - 3/2*t**5 - 3/2*t**3 + k*t + 0 + 0*t**2 = 0. What is t?
-1, 0
Let v = 285 + -280. Let u(d) = -d**3 + 4*d**2 + 7*d - 10. Let k be u(v). Solve k + 0*p + 5/6*p**2 = 0.
0
Let 2890 + 1/3*x**4 - 7939/3*x + x**3 - 245*x**2 = 0. What is x?
-17, 1, 30
Suppose -163*c - 60*c + 25*c - 195*c = 0. Let c + 1/4*u**2 + 1/2*u = 0. Calculate u.
-2, 0
Let h(t) be the third derivative of 0*t - 128*t**2 + 1/24*t**5 + 1/96*t**6 + 0*t**3 + 0 + 0*t**4. Find b, given that h(b) = 0.
-2, 0
Let h be (-16)/(((-84)/39)/(450/975)). Factor 2/7*m**4 + h*m + 12/7*m**3 + 26/7*m**2 + 8/7.
2*(m + 1)**2*(m + 2)**2/7
Let f(i) = i**3 - 4*i**2 + i + 10. Let x be f(3). Suppose -q + 2*y = -9, y - 18 = -x*q + 3*y. Factor 2/7*w**q + 4/7 + 8/7*w**2 + 10/7*w.
2*(w + 1)**2*(w + 2)/7
Let d(h) = -2*h**2 + 11*h + 15. Let q(p) = -p + 1. Let z = -218 - -216. Let s(n) = z*d(n) + 2*q(n). What is i in s(i) = 0?
-1, 7
Suppose -3*a - 2*y - 3*y = -91, 3*a - 92 = -4*y. Let z = 34 - a. Suppose 4*u**3 - 10*u**z - 30*u + 25*u - 4*u**3 + 5*u**3 + 10 = 0. Calculate u.
-1, 1, 2
Let r(c) be the first derivative of -4*c**3/3 - 254*c**2 - 1000*c + 410. Factor r(l).
-4*(l + 2)*(l + 125)
Let u = -570 - -584. Let -14*z**4 - 7*z**4 - z**5 - u*z**2 - 3*z**5 - 48*z**3 + z**5 - 22*z**2 = 0. What is z?
-3, -2, 0
Solve -2/9*b**4 + 56/3 - 242/9*b + 74/9*b**2 + 2/9*b**3 = 0 for b.
-7, 1, 3, 4
Suppose -27*g + 750 = -2*g. Determine u so that 65*u**3 - 13*u**3 - 69*u**3 - g*u**4 - 5*u**5 - 15*u - 43*u**3 - 50*u**2 = 0.
-3, -1, 0
Let p(b) be the first derivative of -b**6/180 - 7*b**5/60 - 37*b**4/72 + 4*b**3/3 + 122*b**2 + 1. Let y(d) be the second derivative of p(d). Factor y(h).
-(h + 3)*(h + 8)*(2*h - 1)/3
Let h = 531 - 410. Let u = h - 602/5. Determine y so that 6/5*y**2 - 12/5*y**3 + u - 9/5*y**4 + 12/5*y = 0.
-1, -1/3, 1
Factor -1440 - 2064*r**2 + 481*r + 5554051*r**3 + 2351*r - 76*r**4 - 5553403*r**3 - 3*r**5 + 10*r**4.
-3*(r - 2)**4*(r + 30)
Let l = -1482 - -2211. Suppose 18 = -l*i + 735*i. Solve 7/3*b**i - 2*b**2 - 5*b - 2/3 = 0 for b.
-1, -1/7, 2
Let y(p) be the second derivative of -56*p - 9/8*p**3 + 13/8*p**2 - 1/80*p**5 + 0 + 5/16*p**4. Determine n, given that y(n) = 0.
1, 13
Let u = -634358 - -634360. Factor 2/7*g**2 + u*g - 36/7.
2*(g - 2)*(g + 9)/7
Let t(i) be the third derivative of 7*i**4/24 + 101*i**3/6 - 698*i**2. Let u be t(-14). Find v, given that 0*v**2 + 0*v + 2/13*v**4 + 0 + 4/13*v**u = 0.
-2, 0
Let k = 1396 - 20939/15. Let x(b) be the second derivative of 0 + 13/9*b**3 - 3*b - 1/18*b**4 + 4/3*b**2 - 13/30*b**5 - k*b**6. Suppose x(a) = 0. Calculate a.
-4, -1, -1/3, 1
Let s = 157 - 155. Let 0 + s - 55*h**2 + 1 + 52*h**2 = 0. Calculate h.
-1, 1
Let t(r) be the first derivative of -3/2*r**4 + 0*r**2 + 26 - 3*r**3 + 3/5*r**5 + 0*r. Factor t(f).
3*f**2*(f - 3)*(f + 1)
Let n(o) = -47*o**2 - 71*o - 17. Let x(z) = 23*z**2 + 36*z + 8. Let p be (3 - -2 - 12) + 16. Let b(k) = p*x(k) + 4*n(k). Factor b(g).
(g + 2)*(19*g + 2)
Let x be ((-183)/(-81) + -2)/(192/1152). Suppose -4/3*r**3 + 4/9*r**2 - 2/9*r**5 + x*r + 2/3 - 10/9*r**4 = 0. Calculate r.
-3, -1, 1
Let w be (-9)/(297/(-105)) + 6/(-33). Let l(h) be the first derivative of -w*h + 15/8*h**2 - 1/4*h**3 - 12. Solve l(b) = 0.
1, 4
Let h(k) be the first derivative of k**3/3 - 685*k**2 + 469225*k + 2772. Solve h(b) = 0.
685
Let w(n) be the first derivative of -n**3/4 - 81*n**2/4 + 660. Factor w(u).
-3*u*(u + 54)/4
Factor -1446*j + 41418 - 375*j**2 + 182*j**2 + 192*j**2 - 564147.
-(j + 723)**2
Let q(n) be the third derivative of 1/3*n**4 + 0*n - 30*n**2 - 1/10*n**5 + 0 - 1/30*n**6 + 4/3*n**3 + 1/105*n**7. Suppose q(k) = 0. Calculate k.
-1, 2
Let l = 55 - -41. Let o = -78 + l. Factor -30*m - 5*m**2 + 17*m + 5 - 5*m**3 + o*m.
-5*(m - 1)*(m + 1)**2
Let l be 10*((-186)/12 + 16). Let 18/19 + 30/19*o - 30/19*o**3 + 0*o**4 + 8/19*o**l - 10/19*o**2 = 0. What is o?
-1, 3/2
Let g(b) = 26*b + 10. Let a be g(0). Let f = -9 - -19. Determine r, given that a*r**4 - 15*r**4 - f*r + 11*r**2 + 4*r**2 = 0.
-2, 0, 1
Let y(j) be the second derivative of 1/11*j**3 + 199*j + 0 - 1/22*j**5 + 1/33*j**4 + 0*j**2. Factor y(g).
-2*g*(g - 1)*(5*g + 3)/11
Suppose 64*n + 432 = 100*n + 108*n. Suppose 2/5 + h**n - 9/5*h - 6/5*h**2 = 0. Calculate h.
-1, 1/5, 2
Let h(k) = 370 + 146 + 84 - 98*k**2 + 472*k + 14*k**3 - 8*k**2. Let t(x) = 9*x**3 - 71*x**2 + 315*x + 400. Let v(i) = 5*h(i) - 8*t(i). Factor v(f).
-2*(f - 10)**2*(f + 1)
Let t be -23 + 20 + 28 + 415/(-20). Factor t*n**3 + 0 + 15/4*n + 31/4*n**2 + 1/4*n**4.
n*(n + 1)**2*(n + 15)/4
Let u(p) be the second derivative of 1/20*p**4 + 31 + 147/10*p**2 - 7/5*p**3 + 2*p. Factor u(o).
3*(o - 7)**2/5
Let d(s) be the first derivative of -5*s**4/12 - 2390*s**3/3 - 856815*s**2/2 - 6481. Solve d(p) = 0 for p.
-717, 0
Let p(n) be the third derivative of n**5/60 + 1651*n**4/12 + 2725801*n**3/6 + 2613*n**2. Solve p(x) = 0 for x.
-1651
Let x(d) = -d**3 - 56*d**2 - 95*d + 28. Let y be x(-2). Factor -2/5*p - 1/5*p**y - 1/5.
-(p + 1)**2/5
Solve -123/2*p**2 - 27/2*p**3 - 74*p - 26 = 0.
-26/9, -1, -2/3
Let s(m) be the first derivative of 2*m**3/9 - 13*m**2/2 - 161*m/3 + 182. Factor s(t).
(t - 23)*(2*t + 7)/3
Let u(k) = -5*k**2 - 8*k + 5. Suppose -14*l - 25 = -19*l. Let s(c) = -7*c**2 - 9*c + 6. Let t(q) = l*u(q) - 4*s(q). Find m such that t(m) = 0.
1/3, 1
Let o(v) be the second derivative of v**6/10 - 27*v**5/4 + 2376*v. Factor o(r).
3*r**3*(r - 45)
Factor -66591*x + 3*x**3 - 20444*x**2 + 10042*x**2 + 9166*x**2 + 192654*x + 257094.
3*(x - 207)**2*(x + 2)
Let z(t) be the first derivative of -7*t**5/50 + 22*t**4/15 - 4*t**3/5 - 34*t + 72. Let q(b) be the first derivative of z(b). Suppose q(c) = 0. Calculate c.
0, 2/7, 6
Let d = 7 - -3. Suppose 5*x + 25 = 0, 3*x + 15 = 5*s - d. Factor 1 - w**2 - 25*w**3 + 1 + 24*w**3 - w**s + w.
-(w - 1)*(w + 1)*(w + 2)
Let y(b) be the first derivative of 9/8*b**4 + 0*b - 144 - b**2 + 0*b**3. Factor y(a).
a*(3*a - 2)*(3*a + 2)/2
Let w be (-170)/(-72) - (10/(-234) + 68*21/9282). Solve 3/4 + 15/4*y**3 - 3*y**4 - 15/4*y + w*y**2 = 0.
-1, 1/4, 1
Let m = -6722 + 1008301/150. Let s(k) be the second derivative of 11/90*k**4 + 2/9*k**3 + m*k**5 + 0 + 0*k**2 - 19*k. Factor s(h).
2*h*(h + 1)*(h + 10)/15
Let w(d) be the second derivative of 1/70*d**6 + 39/140*d**5 + 14*d + 9/4*d**4 + 0 + 135/14*d**3 + 162/7*d**2. Solve w(q) = 0.
