 = -8165 + 8167. What is b in 1/5*b**h - 1/5*b + 0 = 0?
0, 1
Let u(x) be the third derivative of -x**5/300 - 23*x**4/120 - 38*x**3/15 + 501*x**2. Find o such that u(o) = 0.
-19, -4
Factor 1/6*w + 5/6*w**2 + 2/3*w**3 + 0.
w*(w + 1)*(4*w + 1)/6
Let d = -904/3 - -302. Let q(v) be the first derivative of -d*v**3 + 4 - 2*v + 2*v**2. Factor q(m).
-2*(m - 1)**2
Let m(x) be the first derivative of -26 - 3/8*x**2 + 1/4*x**3 - 1/16*x**4 + 1/4*x. Factor m(b).
-(b - 1)**3/4
Suppose -107*q + 51 = -90*q. Factor -6/5 - 2/5*y**2 + 2/5*y**q - 2*y.
2*(y - 3)*(y + 1)**2/5
Let d = -28493/5 + 5699. What is c in -2/5*c + 0 - d*c**2 = 0?
-1, 0
Let g = 36359/3640 + 62/455. Suppose -3/8*h**3 - 27/8*h**2 - 81/8*h - g = 0. What is h?
-3
Let z(h) = 3*h**2 + h - 4. Let l be z(-2). Solve -2*g**3 - 3*g**3 + l*g**3 + 2*g**4 - 2*g**5 + 3*g**5 = 0 for g.
-1, 0
Let t = 35 + -25. Suppose 5*l = 4*d - t, -d - 2 + 3 = -2*l. Find k, given that 0*k**3 - 1/4*k**5 + 1/2*k**l + 0 + 1/4*k - 1/2*k**4 = 0.
-1, 0, 1
Let z be (3 + -5)*9/(-72). Factor z*p**2 - 3/4 - 1/2*p.
(p - 3)*(p + 1)/4
Let y(n) be the first derivative of -n**3/3 - 7*n**2 - 24*n + 58. Factor y(h).
-(h + 2)*(h + 12)
Let x = -1131 - -1133. Find p, given that 2/5 + 4/5*p + 2/5*p**x = 0.
-1
Let n be (-12*12/(-45))/((-68)/(-170)). Let w(g) be the first derivative of 3/2*g - 23/4*g**2 + 2*g**4 + 20/3*g**3 + n. Let w(q) = 0. What is q?
-3, 1/4
Let k(n) be the third derivative of -7*n**8/192 + 11*n**7/120 + 17*n**6/480 - 73*n**5/240 + n**4/3 - n**3/6 + 83*n**2. Solve k(q) = 0.
-1, 2/7, 1
Let v be (-10 - -8) + 5 + 0/(-1). Factor 0*s**2 + 0 - 3/4*s**v + s + 1/4*s**4.
s*(s - 2)**2*(s + 1)/4
Solve 6 + 56/3*m + 2/3*m**4 + 20*m**2 + 8*m**3 = 0.
-9, -1
Suppose 2*j = -3625 + 3625. Let f(g) be the third derivative of 1/80*g**5 - 1/32*g**4 + 0*g**3 + 1/160*g**6 + j*g + 0 - 3*g**2 - 1/280*g**7. Factor f(w).
-3*w*(w - 1)**2*(w + 1)/4
Let l = 1063/2366 + -7/338. Determine j so that 0*j + 0 - 2/7*j**2 - l*j**4 + 5/7*j**3 = 0.
0, 2/3, 1
Let b(r) be the first derivative of -r**3/5 - 6*r**2/5 + 63*r/5 + 135. Factor b(s).
-3*(s - 3)*(s + 7)/5
Suppose 2*r + s = 5*r - 12, 22 = 5*r - s. Let o(j) be the second derivative of 4*j + 3/20*j**r + 3/2*j**3 - 3/2*j**2 + 0 - 3/4*j**4. Factor o(h).
3*(h - 1)**3
Suppose 3*g = 4*g + 10. Let c = -8 - g. Factor -2*q**c + 0*q**2 + 4*q + 2*q**3 - q + 2*q**4 - 5*q.
2*q*(q - 1)*(q + 1)**2
Suppose -o - 16 = -3*d, 10*o - 7*d = 15*o - 52. Suppose 1/2*a**4 - o*a - 3*a**2 + 2*a**3 + 5/2 = 0. Calculate a.
-5, -1, 1
Suppose 28 = -5*k - 2, 4 = 4*c + 2*k. Find a such that 64/3*a - 2/3*a**c - 64/3 - 10/3*a**3 + 4*a**2 = 0.
-4, 1, 2
Let b(k) be the third derivative of k**7/420 - k**6/15 + 13*k**5/30 - k**4 + 573*k**2. Find a such that b(a) = 0.
0, 2, 12
Let n(a) be the first derivative of -8/5*a**2 + a - 1/60*a**4 + 4/15*a**3 + 2. Let s(d) be the first derivative of n(d). Determine j, given that s(j) = 0.
4
Let k(z) be the second derivative of -z**5/150 - z**4/10 - 2*z**3/5 + 2*z - 45. Solve k(o) = 0.
-6, -3, 0
Let b = 3177/2 + -1790. Let o = b + 202. Solve 2 - 2*s + o*s**2 = 0.
2
Let q be ((-63)/(-14))/((-2)/(-4)). Factor -2*l**2 - 6*l - 6*l - q - l**2.
-3*(l + 1)*(l + 3)
Let g = -1586 - -1590. Let o(m) be the second derivative of -1/3*m**3 - 5*m + 0*m**2 + 0 + 1/6*m**g. What is s in o(s) = 0?
0, 1
Find v, given that -6/5 - 2*v**2 + 14/5*v + 2/5*v**3 = 0.
1, 3
Let b(a) be the second derivative of -a**7/945 - a**6/540 + 5*a**2/2 - 3*a. Let y(q) be the first derivative of b(q). Determine t so that y(t) = 0.
-1, 0
Let t = -11488/5 - -2298. Factor -t - 1/5*n**2 + 3/5*n.
-(n - 2)*(n - 1)/5
Let z = -46 - -48. Suppose -2*f + 16 = 4*o, z*f - 2*o + 5*o = 14. Factor -4/3*r**3 + 2/3*r + 2/3 - 4/3*r**2 + 2/3*r**5 + 2/3*r**f.
2*(r - 1)**2*(r + 1)**3/3
Let x(t) be the second derivative of t**6/20 - 3*t**5/8 + t**4/4 + 5*t**3 - 18*t**2 - 209*t. Factor x(a).
3*(a - 3)*(a - 2)**2*(a + 2)/2
Let l(h) = 60*h**3 + 90*h**2 - 10. Let o(k) = -k**4 + 30*k**3 + 45*k**2 - 6. Let z(j) = -3*l(j) + 5*o(j). Determine q so that z(q) = 0.
-3, 0
Let b(h) be the first derivative of -15*h**6/2 + 42*h**5 + 520*h**4 + 3200*h**3/3 + 375. Find l such that b(l) = 0.
-8/3, 0, 10
Let m = 730/3 + -283. Let v = 41 + m. Suppose 28/3*a**2 + 12 - v*a**3 - 20*a = 0. Calculate a.
1, 3
Let i(y) = y**3 + 45*y**2 + 676*y + 3376. Let d be (-2)/((-5 - -3)*1*-1). Let p(r) = r + 1. Let f(k) = d*i(k) + p(k). Determine s so that f(s) = 0.
-15
Let q(r) be the second derivative of -r**8/840 + r**7/525 + r**6/150 + 14*r**2 + 47*r + 2. Let l(k) be the first derivative of q(k). Factor l(t).
-2*t**3*(t - 2)*(t + 1)/5
Suppose 4*g - 2*y = 38, 5*g + 14 = -5*y + 69. Factor g*j**2 - 8*j**2 + j + 2*j**3 - j.
2*j**2*(j + 1)
Let s(x) = 4*x - 18. Let k be s(5). Let p(z) be the first derivative of 2/25*z**5 + 0*z + 1/10*z**k + 3 - 1/30*z**6 + 0*z**4 - 2/15*z**3. Factor p(w).
-w*(w - 1)**3*(w + 1)/5
Let s = -575 - -580. Let w(z) = z. Let i be w(4). Suppose 5*f**2 - f**4 - 2*f**3 + 2*f**2 - 11*f**2 + 5*f**i - f + 3*f**s = 0. Calculate f.
-1, -1/3, 0, 1
Let s(u) be the third derivative of -u**8/1344 - u**7/168 - u**6/120 + 75*u**2. Factor s(o).
-o**3*(o + 1)*(o + 4)/4
Let p(l) be the third derivative of l**8/1680 - l**7/210 + 7*l**6/600 + l**5/300 - l**4/15 + 2*l**3/15 + 38*l**2 + 3*l. Let p(z) = 0. What is z?
-1, 1, 2
Let r(o) = o**2 - 5*o - 6. Let l be r(5). Let d be 4*(-1)/l + (-30)/(-36). Solve 6*s**4 + 3*s**2 + 0*s + d*s**5 + 15/2*s**3 + 0 = 0.
-2, -1, 0
Let z(q) be the third derivative of -q**7/2240 - q**6/192 - q**5/160 + q**4/8 - 5*q**3/6 + 20*q**2. Let i(j) be the first derivative of z(j). Factor i(l).
-3*(l - 1)*(l + 2)*(l + 4)/8
Let s(w) = 15*w**4 - 10*w**3 - 5*w**2 + 5. Let x be (-1*1)/(3/(-15)). Let m(p) = 8*p**4 - 5*p**3 - 3*p**2 + 3. Let n(o) = x*m(o) - 3*s(o). Factor n(b).
-5*b**3*(b - 1)
Let l(r) be the third derivative of -r**7/42 - r**6/12 + r**5/4 + 5*r**4/3 + 10*r**3/3 - 118*r**2. Determine f, given that l(f) = 0.
-2, -1, 2
Factor 75/2*y + 0 + 15*y**2 + 3/2*y**3.
3*y*(y + 5)**2/2
Let r(x) be the first derivative of 2*x**3/21 + 2*x**2 - 30*x/7 - 213. Suppose r(h) = 0. What is h?
-15, 1
Let m(r) = 5*r**2 - 93*r + 61. Let l(a) = -10*a**2 + 187*a - 114. Let q(t) = -3*l(t) - 7*m(t). Let q(f) = 0. Calculate f.
1, 17
Let l(d) = 5*d - 50. Let r be l(10). Suppose 2 = -2*m, r*o + 5*m = 4*o - 17. Factor -1/7*p**o + 0 + 1/7*p**2 + 0*p.
-p**2*(p - 1)/7
Let n(w) = w**2 - 13*w + 14. Suppose -3*t - 11 = 4*d, d - 2*t = -6 + 17. Let y(h) = -h**2 + h + 1. Let z(r) = d*n(r) - 2*y(r). Let z(g) = 0. Calculate g.
1, 4
Let -2/17*b**4 - 58/17*b + 20/17 - 14/17*b**3 + 54/17*b**2 = 0. What is b?
-10, 1
Let k(i) = -315*i - 4090. Let a be k(-13). Factor 0*j**2 + 6/7*j**4 - 8/7*j**3 + 2*j**a + 0 + 0*j.
2*j**3*(j + 1)*(7*j - 4)/7
Let g(o) = -4*o**3 + 12*o**2 - 14*o - 30. Let n(m) = m**3 + m**2 - m - 1. Let v(d) = 2*g(d) + 4*n(d). Solve v(x) = 0.
-1, 4
Let i(a) = 6*a**2 + 35*a - 11. Let x(d) = -3*d**2 - 18*d + 6. Let o(t) = 6*i(t) + 11*x(t). Factor o(c).
3*c*(c + 4)
Let x(n) = -3*n**3 - n**2 + 17*n + 5. Let a(j) = -2*j**3 - j**2 + 8*j + 3. Let q = 43 + -41. Let g(p) = q*x(p) - 5*a(p). Factor g(y).
(y + 1)**2*(4*y - 5)
Let f(m) be the second derivative of m**5/5 - 11*m**4/4 - 14*m**3/3 + 9*m**2/2 - 140*m. Factor f(c).
(c - 9)*(c + 1)*(4*c - 1)
Let 0*q - 70 - 198*q**2 - 17*q + 197*q**2 = 0. What is q?
-10, -7
Let s(g) be the first derivative of g**5/10 - g**4/6 - 2*g**3/3 + 3*g + 8. Let y(t) be the first derivative of s(t). Factor y(c).
2*c*(c - 2)*(c + 1)
Suppose 4*j - 5*j = -35. Let z = j + -30. Solve 1/4*q**z + 0*q**2 + 0*q**4 + 0 + 0*q - 1/4*q**3 = 0 for q.
-1, 0, 1
Let d(y) be the first derivative of -1/2*y + 1/6*y**3 + 13 + 5/16*y**4 - 5/8*y**2. Factor d(k).
(k - 1)*(k + 1)*(5*k + 2)/4
Let r(w) = 2*w + 17. Let l be r(-9). Let d(s) = -1. Let u(b) = -2*b**2 + 6*b + 1. Let v(g) = l*u(g) - 5*d(g). Factor v(f).
2*(f - 2)*(f - 1)
Let i(p) be the second derivative of -p**4/60 - 9*p**3/10 - 5*p**2 - 14*p - 5. Factor i(j).
-(j + 2)*(j + 25)/5
Let a = 22 + -20. Factor 46*t**2 - 54*t**a - 3*t**3 + 4*t + 6 + 2*t**4 - t**3.
2*(t - 3)*(t - 1)*(t + 1)**2
Factor -7/6*h - 1/6*h**2 - 5/3.
-(h + 2)*(h + 5)/6
Determine s so that 407*s**3 + 5*s**4 + 2399*s**2 + 397*s**2 - 32*s**3 + 4419*s**2 + 6845*s = 0.
-37, -1, 0
Let h = -2