m(n) = 0.
3, 6
Suppose p + 848 = -4*y + 844, 8 = -2*p. Suppose 0 = 4*j - 3*g - g + 12, 4*j = g + 3. Solve y + 0*x + 2/9*x**j = 0.
0
Let y = 81 + -79. Let m = -9382 - -37529/4. Factor -3/4 + m*a**y + 1/2*a.
(a - 1)*(a + 3)/4
Let h = -1604 - -1604. Suppose j - r = h, 5*r - 12 = -2*j + 3*j. Determine s so that 65/3*s**2 - 20/3 + 25/3*s**j + 20/3*s = 0.
-2, -1, 2/5
Factor 40*l + 141*l - 112*l**2 - 314 - 394 + 111*l**2.
-(l - 177)*(l - 4)
Let o = 1580 - 2118. Let m = 570 + o. Determine j so that -m - 8*j - 1/2*j**2 = 0.
-8
Let 173/5*h**2 - 1/5*h**5 + 14*h + 0 + 27*h**3 + 31/5*h**4 = 0. What is h?
-2, -1, 0, 35
Let -10/9*j**4 + 22/9*j + 58/9*j**3 + 8/9 - 26/3*j**2 = 0. Calculate j.
-1/5, 1, 4
Let x be 4632/40 - ((-56)/30 - -2). Let g = 3841/33 - x. Factor g*l**3 + 10/11*l - 16/11*l**2 - 2/11.
2*(l - 1)*(2*l - 1)**2/11
Suppose 16 + 84*i**2 + 67*i - 89*i + i**4 + 8*i**3 - 87*i**2 = 0. What is i?
-8, -2, 1
Let i = 95 - 87. Suppose -54*w = i - 8. Factor -14/5*p + 2/5*p**3 + w*p**2 + 12/5.
2*(p - 2)*(p - 1)*(p + 3)/5
Let d(z) be the third derivative of -2 + 0*z + 11*z**2 - 1/45*z**4 + 1/450*z**5 + 1/15*z**3. Factor d(q).
2*(q - 3)*(q - 1)/15
Let i(q) be the third derivative of -q**5/15 + 8*q**4 - 94*q**3/3 + 85*q**2 - 4*q + 1. Factor i(o).
-4*(o - 47)*(o - 1)
Suppose 6*k - 284 = 94. Solve -69*g + 37 + 57*g**2 + k - 88 = 0.
4/19, 1
Let v(d) = d**2 - 3*d - 14. Let q be v(6). Solve 11*m**4 - 12*m**3 - 6*m**4 - 6*m**q - 11*m**3 = 0 for m.
-23, 0
Let d(h) be the second derivative of -2/5*h**5 - 47*h + 2/15*h**6 - 1/63*h**7 + 0*h**2 + 4/9*h**4 + 0*h**3 - 1. Find p, given that d(p) = 0.
0, 2
Let u be ((-588)/(-48) - (-9 - -22))/((-390)/80). Factor 10/13*b + u*b**3 + 24/13 - 12/13*b**2.
2*(b - 4)*(b - 3)*(b + 1)/13
Let m(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r + 1/260*r**6 + 1/390*r**5 - 12 - r**2 - 4/1365*r**7. Suppose m(v) = 0. What is v?
-1/4, 0, 1
Suppose 0 = -2*n, 4 = 3*q + 4*n - 5. Let a(c) = 6*c**2 - 3*c + 3. Let z(b) = -9*b**2 + 6*b - 7. Let d(j) = q*z(j) + 5*a(j). Find k, given that d(k) = 0.
-2, 1
Let j(r) be the first derivative of r**7/1260 - r**6/180 - r**5/45 - 14*r**3/3 - 4*r - 55. Let c(i) be the third derivative of j(i). Let c(o) = 0. What is o?
-1, 0, 4
Factor -14382*a**2 - 135*a + 28768*a**2 + 700 - 14381*a**2.
5*(a - 20)*(a - 7)
Factor -320/3*d - 2/3*d**3 - 322/3*d**2 + 0.
-2*d*(d + 1)*(d + 160)/3
Suppose 7*m - 5381 = -5*k + 4*m, 2*k + m = 2153. Factor -i**2 + 2*i**2 - i**4 + k*i**5 - i**3 - 1077*i**5.
i**2*(i - 1)**2*(i + 1)
Let t(r) be the first derivative of -r**4/36 + 37*r**3/9 - 71*r**2/2 + 105*r + 770. Factor t(m).
-(m - 105)*(m - 3)**2/9
Let h(n) = -n**2 + 6*n + 11. Let o be h(7). Determine j, given that -16*j + 41 - 9 + 8*j**4 + 51*j**3 - 31*j**3 - 40*j**2 - o*j**5 = 0.
-2, -1, 1, 2
Let s(m) = -2*m**2 - 10*m - 10. Let b be s(-6). Let z be b/(-8) + (-69)/92. Factor 9 - j**3 - 3*j + 0*j**2 - 7*j**2 - j**2 + 3*j**z.
-(j - 1)*(j + 3)**2
Let w = 24 - -141. Suppose -2*i + w = i. Factor i*y**3 - 9*y**4 - 56*y + 59*y**4 + 2*y**2 + 55*y**3 - 14*y**2 + 16.
2*(y + 1)*(y + 2)*(5*y - 2)**2
Let b(j) = -8*j**2 + 2432*j - 441800. Let x(m) = -7*m**2 + 2340*m - 441800. Let f(n) = 5*b(n) - 6*x(n). Factor f(v).
2*(v - 470)**2
Suppose 0 = -9*f - 10 + 28. Suppose -6*u**f + 5*u**4 + u**2 + 71*u + 5*u**3 - 76*u = 0. Calculate u.
-1, 0, 1
Let v = 1977/2 - 987. Let b(q) be the first derivative of -3/2*q**2 - 1/2*q**6 - 6*q - 15 + 4*q**3 - 6/5*q**5 + v*q**4. Find y such that b(y) = 0.
-2, -1, 1
Let c be ((-186)/651)/((-20)/7). Let z(j) be the first derivative of -1/10*j**4 + 0*j**3 + c*j**2 + 14 + 0*j**5 + 1/30*j**6 + 0*j. Factor z(f).
f*(f - 1)**2*(f + 1)**2/5
Let v(l) be the third derivative of 0*l**4 - 1/150*l**5 + 0*l**3 - l + 0 - 1/600*l**6 + 17*l**2. Find g such that v(g) = 0.
-2, 0
Let m(n) be the third derivative of -n**5/48 + 35*n**4/96 + 25*n**3/2 - 210*n**2. Solve m(d) = 0.
-5, 12
Let r(u) = -6*u + 254. Let t be r(42). Suppose t*y = -2*x - 6, 3*y + x - 5*x - 26 = 0. Suppose 0 + 20/3*b**3 - 16/3*b + 32/3*b**y = 0. What is b?
-2, 0, 2/5
Factor 0 + 59/5*u**4 - 1/5*u**5 + 0*u + 0*u**2 - 58/5*u**3.
-u**3*(u - 58)*(u - 1)/5
Suppose -3*r + 14 = 7*a - 8*a, -4 = -2*r - 2*a. Solve 30*v - v**5 + 15*v**r + 2*v**5 + 7*v**5 - 11*v**5 - 51*v**2 + 9*v**3 = 0.
-2, 0, 1, 5
What is g in -3/8*g**2 - 699/8 - 351/4*g = 0?
-233, -1
Let 2*b - 6*b - 6*b - 2*b**4 - 22*b**2 + 14*b**3 - 4*b + 24 = 0. What is b?
-1, 1, 3, 4
Let y(p) be the first derivative of -28*p - 1/3*p**3 + 8*p**2 + 69. Factor y(s).
-(s - 14)*(s - 2)
Suppose 4*h + 75 - 52 = 5*k, -2*h = 4*k - 8. Let j(g) be the third derivative of -1/660*g**5 - 8/33*g**k + 0 - 1/33*g**4 + 15*g**2 + 0*g. Solve j(n) = 0 for n.
-4
Let q(o) be the third derivative of 7*o**5/50 - 13*o**4/6 + 8*o**3/5 + 454*o**2. Let q(z) = 0. What is z?
4/21, 6
Let k be (-3 + 0)/(-6) + (-686)/28. Let f be (-5)/(-1) - (26 + k). What is i in 0*i + 0 + 4/5*i**2 + 8/5*i**4 + 18/5*i**f = 0?
-2, -1/4, 0
Let k = -2187 + 2190. Let v(r) be the first derivative of 2/9*r**k - 4/3*r + 1/3*r**2 + 10. Solve v(o) = 0.
-2, 1
Factor -648*j - 120*j**3 - 97*j**3 + 221*j**3 + 36*j**2.
4*j*(j - 9)*(j + 18)
Let n(z) be the first derivative of -1/22*z**4 - 32/33*z**3 - 7 - 7*z**2 - 196/11*z. Factor n(s).
-2*(s + 2)*(s + 7)**2/11
Let z(o) = -o**3 - 5*o**2 - 2*o - 6. Let u be z(-5). Suppose -14 - 2 = -u*d. Let 4*n**2 - 32*n - d*n**2 + 4*n**2 = 0. Calculate n.
0, 8
Let t(y) be the first derivative of -4*y**3/3 - 362*y**2 - 720*y + 6916. Factor t(o).
-4*(o + 1)*(o + 180)
Let j(n) = 10 + 15*n**2 - n - 6 + n**3 - 15*n + 0. Let w be j(-16). Factor 7 - 26 + 13 + w*b + 2*b**2.
2*(b - 1)*(b + 3)
Factor 2/5*h**4 - 178/5*h**3 + 0*h - 36*h**2 + 0.
2*h**2*(h - 90)*(h + 1)/5
Factor -1/2*l**2 - 1251362 - 1582*l.
-(l + 1582)**2/2
Let q(n) = n**2 + 15*n + 53. Let u be q(-5). Factor 18*x**u - 25*x**5 - 22*x**4 - 10*x**3 + 19*x**5.
-2*x**3*(x + 4)*(3*x - 1)
Let o(p) be the second derivative of -p**6/120 + 3*p**5/20 - 9*p**4/8 - p**3/3 - 5*p**2 - 2*p + 30. Let d(t) be the second derivative of o(t). Factor d(m).
-3*(m - 3)**2
Let i = 6/149359 + 597418/448077. Factor -68/3*q**2 + 320/3*q - 256/3 + i*q**3.
4*(q - 8)**2*(q - 1)/3
Let m be ((-6)/13)/((-18117)/7137). Let 4/11*o + m*o**4 - 8/11*o**2 - 4/11*o**3 + 6/11 = 0. Calculate o.
-1, 1, 3
Factor -625*q**2 - 25*q**3 + 0 - 1/4*q**4 + 0*q.
-q**2*(q + 50)**2/4
Let q(x) = -5*x**5 + 2*x**3 - x. Suppose -4*w - 5*z - 9 = 0, -2*w + 5*z = -w - 4. Let l(k) = -k**5. Let i = 3 + 1. Let g(a) = i*l(a) + w*q(a). Solve g(u) = 0.
-1, 0, 1
Suppose -617 = -15*c - 2132. Let y = c - -112. Find f such that 14*f**2 + 7*f - y*f**2 + 4 - 2 + 0*f**4 - 5*f**4 - 7*f**3 = 0.
-1, -2/5, 1
Let h(g) be the second derivative of 6 + 1/33*g**4 + 5/33*g**3 + 0*g**2 + g. Factor h(w).
2*w*(2*w + 5)/11
Let j(k) be the first derivative of -k**3/8 - 12477*k**2/8 - 51891843*k/8 - 1563. Factor j(d).
-3*(d + 4159)**2/8
Let u(m) be the third derivative of 7/96*m**4 + 61*m**2 - 11/240*m**5 + 1/12*m**3 + 0*m + 3/280*m**7 + 0 - 7/480*m**6. Factor u(t).
(t - 1)**2*(t + 1)*(9*t + 2)/4
Factor 281*o + 145/3*o**2 + 417 + 1/3*o**3.
(o + 3)**2*(o + 139)/3
Let w be (-44)/990*-120*-2*(-2)/16. Suppose 2 - w*k - 2/3*k**2 = 0. What is k?
-3, 1
Let f(u) = u**2 + 32*u - 103. Let m be f(-35). Factor 88 + 46 - 38 - 51*p + 3*p**2 + p**m - 49*p.
4*(p - 24)*(p - 1)
Suppose c + 23*s - 21*s + 2 = 0, 0 = 2*s + 6. Let m(k) be the second derivative of 46*k - 1/15*k**6 + 1/5*k**5 - 4*k**3 + 0 - 36*k**2 + 11/6*k**c. Factor m(y).
-2*(y - 3)**2*(y + 2)**2
Let i = 103 + 29. Determine c, given that -38*c + 22*c**2 + 67*c**3 + 18 + 63*c**3 - i*c**3 = 0.
1, 9
Let s = 9/65 - -1/2340. Let q(l) be the second derivative of 0*l**2 + 0 + s*l**4 + 1/12*l**5 - 5/3*l**3 + 22*l. Factor q(c).
5*c*(c - 2)*(c + 3)/3
Let a(w) be the second derivative of 0 - 44*w**5 - 80/3*w**6 - 16*w**2 + 88/3*w**3 + 13/2*w**4 + 26*w. Determine f so that a(f) = 0.
-4/5, 1/4
Let t be 832/78 + (-60)/135*-1. Factor 10/9*d - t + 2/9*d**3 + 16/9*d**2.
2*(d - 2)*(d + 5)**2/9
Let v(m) be the second derivative of -m**7/252 + m**6/20 - m**5/24 - 25*m**4/72 + m**3/6 + 4*m**2/3 - 1526*m. Suppose v(h) = 0. What is h?
-1, 1, 2, 8
Let o(y) be the second derivative of -4*y**5/5 + 61*y**4/3 - 238*y**3/3 + 52*y**2 + 47*y. Factor o(a).
-4*(a - 13)*(a - 