p*h**2 = 0. Calculate h.
1, 2
Let j(r) = -3*r + 20. Suppose o - 18 = -3*g, -5*o + 3*o - 30 = -5*g. Let m be j(g). What is c in -62*c - 8 + 28*c**3 - 111*c**m + 0 + 12*c**3 + 16*c**4 = 0?
-4, -1/4, 2
Suppose 4680*a = 4686*a - 72. Let f(y) be the third derivative of 1/20*y**5 - 3/2*y**3 - 1/4*y**4 + a*y**2 + 0*y + 0. Let f(m) = 0. Calculate m.
-1, 3
Let j be (10/15*6)/(-14*3/(-24)). Let 1/7*q**4 - 16/7 - 4/7*q**3 + 0*q**2 + j*q = 0. Calculate q.
-2, 2
Let l = 117 - -3. Let x be (2/5 + (-72)/l)/(-1). Suppose 4/5*o + x*o**2 - 1 = 0. Calculate o.
-5, 1
Let n = 881 - 877. Let k(d) be the second derivative of -7/4*d**2 + 7/48*d**n + 47/24*d**3 - 4*d + 0. Find z such that k(z) = 0.
-7, 2/7
Find k such that 85*k**2 + 56*k**2 - 143*k**2 + 66*k + 68 = 0.
-1, 34
Let 31/2*m**2 + 1/2*m + 57/8*m**5 + 293/8*m**3 + 115/4*m**4 + 0 = 0. What is m?
-2, -1, -2/57, 0
Let f be (-19)/95 + (-361)/(-5). Let g = 74 - f. Factor 6*n + 281*n**2 + 272*n**g - 548*n**2 - 16*n.
5*n*(n - 2)
Let y be ((-5)/((-90)/3012) - 6) + 2. Let r = y - 163. Let 2/3 + p + r*p**2 = 0. Calculate p.
-2, -1
Let o(s) = s**2 - 44. Let r be o(-7). Let -14*m**2 - 41*m**2 - 30*m - 2*m**5 + 2*m**5 + 2*m**r + 3*m**5 - 15*m**3 + 15*m**4 = 0. Calculate m.
-3, -1, 0, 2
Let n(g) be the second derivative of g**7/210 - 41*g**6/75 - 179*g**5/20 - 115*g**4/3 - 1784*g. Suppose n(r) = 0. Calculate r.
-5, 0, 92
Suppose 5*f + z - 6*z - 5 = 0, 2*z = -3*f + 8. Suppose -k - 4*b - 3 = f, 0 = -3*k + 3*b + 15. Factor 6*x**k - 4*x**4 - 9*x**3 - 9*x**3 - x**2 - 7*x**2.
-4*x**2*(x + 1)*(x + 2)
Let a(l) be the third derivative of -l**6/72 + 7*l**5/24 + 49*l**3/3 + 2*l**2 - 16. Let n(i) be the first derivative of a(i). Factor n(h).
-5*h*(h - 7)
Solve 39443*q**2 - 15*q**4 - 38587*q**2 + 220*q**3 - q**4 - 4*q**5 - 1392*q - 2016 = 0 for q.
-6, -1, 2, 7
Let m = -236 - -238. Suppose -80 + 9*u**2 - 44*u**m - 137*u + 15*u**2 + 462*u = 0. What is u?
1/4, 16
Let j(s) be the second derivative of -s**6/150 + 13*s**5/50 + 153*s**4/20 + 306*s**3/5 + 702*s**2/5 + 4996*s - 1. Find x, given that j(x) = 0.
-6, -1, 39
Suppose -124*h**2 - 2169710*h - 4*h**4 + 40*h**3 + 0*h**4 + 2169830*h = 0. Calculate h.
0, 2, 3, 5
Let g(h) = h - 6. Let a be g(18). Suppose a = 5*u - 2*p, p = 4*u + 4*p - 28. Solve 2 + 12*j**2 - 2 + u*j**3 = 0 for j.
-3, 0
Suppose 4*x + 902 + 110 = 0. Let a = -64 - x. Factor -l - 11*l + 192*l**4 - a*l**4 + 8*l**3 + l**3.
3*l*(l - 1)*(l + 2)**2
Let 24*l - 54/5*l**3 - 12/5*l**4 + 6/5*l**5 + 84/5*l**2 - 144/5 = 0. What is l?
-2, 1, 2, 3
Let o(c) = -c**2 + 8*c - 2. Let h(z) = -6*z**2 - 3712 + 8*z**2 + 3*z**2 - 66*z + 4*z**2 + 3729. Let i(p) = 6*h(p) + 51*o(p). Factor i(b).
3*b*(b + 4)
Let h(p) be the first derivative of -2*p**2 - 16/5*p**3 + p**4 - 44 + 10*p - 2/25*p**5. Solve h(x) = 0 for x.
-1, 1, 5
Let r be 8/(-3)*324/(-24). Let x = r + -16. Let h(u) = -u**2 + u + 7. Let l(z) = z. Let y(g) = x*l(g) + 4*h(g). Solve y(a) = 0 for a.
-1, 7
Let w be (48/(-4212))/((-10)/(-3)). Let l = w + 44/195. Factor 4/9*m**3 + 0 - 16/9*m + l*m**4 - 8/9*m**2.
2*m*(m - 2)*(m + 2)**2/9
Let g(l) be the first derivative of 4*l**5/5 + 36*l**4 + 360*l**3 + 1512*l**2 + 2916*l - 4099. What is n in g(n) = 0?
-27, -3
Let t(p) be the third derivative of 9/4*p**4 + 0 + 94*p**2 + 162*p**3 + 0*p + 1/80*p**5. Suppose t(b) = 0. Calculate b.
-36
Suppose 5/2*b**2 - 945/2*b + 0 = 0. Calculate b.
0, 189
Let f = -46 + 57. Let o(v) be the first derivative of -f - 6*v**4 - 6*v**5 + 3 - 2*v**5 + 5*v**5 + 4*v**3. What is r in o(r) = 0?
-2, 0, 2/5
Let k(d) be the third derivative of d**9/90720 - d**8/15120 - 13*d**7/2520 - d**6/15 - d**5/60 - 79*d**2. Let v(r) be the third derivative of k(r). Factor v(o).
2*(o - 8)*(o + 3)**2/3
What is o in 128*o**2 - 9*o - 5*o + 16*o + 3*o - 37*o**3 + 138*o**4 - 234*o**3 = 0?
-5/138, 0, 1
Suppose -1981*z + 73*z**2 - 100*z**2 + 2*z**3 + 1699*z + 75*z**2 + 232 = 0. What is z?
-29, 1, 4
Let w(o) be the second derivative of -3*o**5/140 + 71*o**4/28 - 440*o**3/7 - 21600*o**2/7 + 7111*o. Solve w(k) = 0 for k.
-9, 40
What is o in -1/2*o**2 - 119 + 121/2*o = 0?
2, 119
Let b(k) be the third derivative of k**6/8 + k**5/60 - 5*k**4/8 - k**3/6 - 5*k**2. Let l(q) = 8*q**3 - 8*q. Let d(m) = -6*b(m) + 11*l(m). Factor d(s).
-2*(s - 1)*(s + 1)*(s + 3)
Let m be (-72)/21 - -3 - ((-2937)/(-693) - 5). Factor m*g**2 + 0 - 5/3*g.
g*(g - 5)/3
Let l = 55 - 57. Let g = 12 + l. Solve -2*w**3 + g*w**2 - 6*w**2 + 3*w**3 - 5*w**2 = 0.
0, 1
Let s = -8587 + 59963/7. Let r = s - -21. Factor -2/7*y + r*y**2 - 3/7.
(y - 3)*(y + 1)/7
Suppose 4*q - 4*p + 35 = 199, -4*p = -q + 38. Suppose -45*b + 48 + q = 0. Solve 220/3*u - 50/3 - 82/3*u**b + 8/3*u**3 = 0.
1/4, 5
Let o(g) = 4*g**2 + g + 7. Let l(w) = 3*w**2 - 171 + 303 + 2*w - 126. Suppose 0*u = -4*u - 12. Let y(x) = u*l(x) + 2*o(x). Factor y(m).
-(m + 2)**2
Let j(m) = -m**2 - m. Let v(f) = -2*f**3 - 21*f**2 + 24. Let l(w) = 2*w**3 + 22*w**2 - 24. Let p(z) = 5*l(z) + 4*v(z). Let r(s) = 4*j(s) + 2*p(s). Factor r(h).
4*(h - 1)*(h + 1)*(h + 12)
Let y(h) be the second derivative of h**6/75 + 1563*h**5/50 + 271441*h**4/10 + 141420761*h**3/15 + 6270*h. Factor y(u).
2*u*(u + 521)**3/5
Find c, given that 1451*c + 7*c**3 + 21*c**3 - 14*c**3 - 771*c + 2384*c**2 = 0.
-170, -2/7, 0
Let b(h) be the third derivative of -h**5/330 + 61*h**4/132 - 20*h**3/11 + 3*h**2 + 66*h. Find x, given that b(x) = 0.
1, 60
Let j(l) be the second derivative of -l**7/56 - 261*l**6/40 - 49101*l**5/80 + 86321*l**4/16 - 17556*l**3 + 53067*l**2/2 + 1776*l. Suppose j(v) = 0. What is v?
-133, 1, 2
Suppose 2*d + 316 = x, 14*x - 1552 = 9*x - 4*d. Let y be 260/x - (1 - (-1 + 2)). Let -1/6*h**2 + y*h - 2/3 = 0. Calculate h.
1, 4
Let m = 16289 - 16285. Factor 4/5*j**m + 0*j + 0*j**3 - 32/5*j**2 + 64/5.
4*(j - 2)**2*(j + 2)**2/5
Let s(f) be the first derivative of -f**6/14 - 24*f**5/35 - 45*f**4/28 + 4*f**3/7 + 30*f**2/7 + 246. Suppose s(k) = 0. Calculate k.
-5, -2, 0, 1
Let c(r) = 10*r + 104. Let t be c(-6). Factor 10*v - t*v - 36 - 4*v**2 - 5*v + v**2.
-3*(v + 1)*(v + 12)
Let 322*s + 98 + 217*s + 3042*s**2 - 9*s + 462*s + 100*s = 0. Calculate s.
-7/39
Suppose -34 + 169 = 27*q. Let b(l) be the first derivative of 9 + l**3 - 7/25*l**q - 8/5*l - 13/5*l**2 + 13/10*l**4. What is i in b(i) = 0?
-1, -2/7, 1, 4
Let f be -12*((2 - 8) + 7). Let m be 280/45 - (-6 - f). Factor -m*n**3 + 2*n + 2/3*n**2 + 10/9.
-2*(n - 5)*(n + 1)**2/9
Let f(v) be the first derivative of -25/2*v**2 + 5/3*v**3 + 149 + 0*v. Factor f(t).
5*t*(t - 5)
Suppose 3*j = 5*j - 8, -j = 3*n + 23. Let x be (-5)/(15/n) - (3 + -5). Let 13*d**4 + 4 - x*d**4 + 21*d**3 + 36*d**2 + 20*d + 7*d**3 = 0. What is d?
-1, -1/2
Let s(p) be the third derivative of -22/9*p**4 - 60*p**2 - 1936/9*p**3 + 0*p - 1/90*p**5 + 0. Factor s(f).
-2*(f + 44)**2/3
Let g be (-4)/26 + (-508)/78 - (13 + (-3 - 17)). Factor 0 + g*f**3 + 10/3*f**2 - 1/6*f**4 + 4*f.
-f*(f - 6)*(f + 2)**2/6
Let l be -3*3 - (-6 + -14 + 21)*-9. Determine k so that l - 4*k + 6/5*k**2 + 2/5*k**3 = 0.
-5, 0, 2
Let v(s) = 5*s**2 + 27*s - 83. Let b be v(6). Let z = -259 + b. Determine w so that z*w**4 - w + 2/3*w**2 - 2/3 + 4/3*w**3 - 1/3*w**5 = 0.
-1, 1, 2
Let j(g) be the first derivative of -25/8*g**4 - 95/6*g**3 - 6*g - 61 - 16*g**2. Let j(x) = 0. What is x?
-3, -2/5
Determine l so that 28*l**5 + 216 - 73*l**4 + 26*l**5 + 25*l**4 - 168*l**2 + 22*l**5 - 180*l - 72*l**5 + 176*l**3 = 0.
-1, 1, 3, 6
Suppose 0 = -5*q + 713 + 52. Factor 3*i**3 + 153 + 6*i**2 - q.
3*i**2*(i + 2)
Factor -2*a**2 + 0 + 4/5*a.
-2*a*(5*a - 2)/5
Factor -297/2*m + 0 - 1/2*m**3 + 19*m**2.
-m*(m - 27)*(m - 11)/2
Let v(d) be the second derivative of 0*d**3 - 3*d - 1/3*d**6 - 1 + 5/6*d**4 + 5/42*d**7 + 0*d**2 - 1/4*d**5. Factor v(r).
5*r**2*(r - 2)*(r - 1)*(r + 1)
Let l be (-231)/(-360) - (-334)/(-8016). Determine s, given that 0 + 3/5*s**5 - l*s**3 - 3/5*s**2 + 3/5*s**4 + 0*s = 0.
-1, 0, 1
Let c be 2374/(-14) + ((-45)/(-35))/(-3). Let j be (-530)/c + 4/(-34). Factor 2*s**2 + 2*s + 2/3*s**j + 2/3.
2*(s + 1)**3/3
Let p(z) be the first derivative of z**7/21 - 3*z**5/10 + z**4/3 + 134*z + 149. Let h(t) be the first derivative of p(t). Factor h(u).
2*u**2*(u - 1)**2*(u + 2)
Let l = -3021 + 3024. Let q(w) be the first derivative of -12*w**2 - 36*w + 9 - 4/3*w**l. Factor q(m).
-4*(m + 3)**2
Let i(r) be the