/9 - 4/9*c**3 - 4/9*c**4 + 8/9*c**2 + 2/9*c = 0.
-1, 1, 2
Let g be 4/(5*10/125). Find f such that 5*f**2 - 8*f**2 + g*f + 5*f**4 + 28*f**2 + 20*f**3 = 0.
-2, -1, 0
Let d be (-1 + 2)*(-1 + 3). Factor -4 - d - 2*x + 7*x - 4 + 5*x**2.
5*(x - 1)*(x + 2)
Factor -99*b**3 + 43*b + 94*b**3 + 40*b**2 + 12*b - 90.
-5*(b - 9)*(b - 1)*(b + 2)
Let s(g) be the first derivative of -g**6/4 + 11*g**5/10 - 5*g**4/8 - g**3/2 + 11. Determine o, given that s(o) = 0.
-1/3, 0, 1, 3
Let d(t) be the second derivative of 5/42*t**7 + 5/6*t**3 + 0*t**2 + 0 + 0*t**4 - 1/2*t**5 - 13*t + 0*t**6. Determine m, given that d(m) = 0.
-1, 0, 1
Let j(i) be the second derivative of i**5/80 + 5*i**4/16 + 19*i**3/12 + 3*i**2 + 3*i. Determine z, given that j(z) = 0.
-12, -2, -1
Let d(x) = 2*x + 2. Let p be d(0). Let m be (p - 8)/3 + 4. Factor 61*i**2 + 4 + 4*i - 32*i**m - 28*i**2.
(i + 2)**2
Let x be ((-218592)/1134)/(-92) + 2/(-42)*2. Factor 20/7 + 2/7*u**x - 22/7*u.
2*(u - 10)*(u - 1)/7
Suppose 2*z - 358 = -5*m, -2*m = m - 3*z - 198. Let s = -67 + m. Solve 1/2*j**s + 1/2*j**2 - 1/2*j**4 + 0*j + 0 - 1/2*j**5 = 0.
-1, 0, 1
Let p(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 1/5*i**5 - 1/10*i**6 + 8*i**2 + 0 - 1/70*i**7. Factor p(s).
-3*s**2*(s + 2)**2
Let y(a) = -2*a**2 + 3*a - 11. Let r be y(-5). Let h be 2/8 - 209/r. Let -4*w**2 - 16/5 + 4/5*w**h + 32/5*w = 0. What is w?
1, 2
Let q(m) be the second derivative of -7*m + 0*m**3 - 19/8*m**4 - 5/28*m**7 + 3/20*m**6 + 51/40*m**5 + 0 + 3*m**2. Suppose q(r) = 0. What is r?
-2, -2/5, 1
Let b be (-5)/5*1929/15. Let p = -128 - b. Find d such that 0 + p*d**4 - 3/5*d**2 - 3/5*d + 3/5*d**3 = 0.
-1, 0, 1
Let x(j) be the first derivative of -j**4 - 2*j - 5. Let m(d) = -d**4 + 5*d**3 + d**2 + d + 3. Let o(z) = 2*m(z) + 3*x(z). Suppose o(t) = 0. Calculate t.
-1, 0, 1
Suppose 0 = 2*b + 6, 5*p - 1 + 2 = 3*b. Let n be 2 - ((0/p)/2)/(-2). Find w such that -6/5*w**4 + 2*w**3 + n*w**2 - 6/5*w - 4/5*w**5 - 4/5 = 0.
-2, -1, -1/2, 1
Factor -3*z + z**5 + 4*z + 25*z**3 - 9*z**4 - 27*z**3 + 9*z**4.
z*(z - 1)**2*(z + 1)**2
Let m = 2100 + -6280/3. Determine f so that 0 + 0*f - m*f**3 + 20/3*f**2 - 5*f**4 = 0.
-2, 0, 2/3
Let u(n) = 38 + 22 + 3*n - 4*n**2 - 30*n + 3*n. Let m(h) = -h**2 - 5*h + 12. Let r(w) = -16*m(w) + 3*u(w). Factor r(x).
4*(x - 1)*(x + 3)
Let y(g) = -g**2 + 14*g - 42. Let m be y(9). Suppose 0 = -9*j + j. Factor 0 + 1/2*x**m - 1/4*x**4 - 1/4*x**2 + j*x.
-x**2*(x - 1)**2/4
Let i(j) be the second derivative of j**6/105 + 3*j**5/70 - 2*j**4/21 - 4*j**3/7 - 90*j. Solve i(x) = 0 for x.
-3, -2, 0, 2
Factor 5/2*z**3 - 13/2*z + 4*z**2 + 0.
z*(z - 1)*(5*z + 13)/2
Suppose -224*o + 231*o - 21 = 0. Let y(w) be the first derivative of -1/8*w**2 + 1/6*w**o + 0*w + 4 - 1/16*w**4. Factor y(q).
-q*(q - 1)**2/4
Find b such that -3*b**4 + 3*b**5 - 12*b**2 - 33*b**3 + 24*b + 15*b**3 + 6*b**4 = 0.
-2, 0, 1, 2
Let z(q) = -3*q**5 + 3*q**4 - 5*q**3 + q**2 + 2*q. Let b(l) = -l**5 - l**3 + l. Let u(p) = -2*b(p) + z(p). Factor u(h).
-h**2*(h - 1)**3
Let g(p) = -2*p**3 + 3*p**2 - 14*p - 46. Let h(z) = 3*z**3 - 3*z**2 + 12*z + 48. Let m(t) = 6*g(t) + 5*h(t). Find q such that m(q) = 0.
-2, 3
Let v = 46/9 - 34/9. Let y be ((-337)/(-1011))/(1/2). Factor 4/3*f + 0 - y*f**4 - v*f**3 + 2/3*f**2.
-2*f*(f - 1)*(f + 1)*(f + 2)/3
Let b = -24 - -12. Let c = 15 + b. Suppose a**c + a**3 - 66*a - 3*a**2 + 64*a = 0. What is a?
-1/2, 0, 2
Factor p**4 - 3*p**4 + 67*p**5 - 4*p**4 - p**3 + 4*p**2 - 66*p**5 + 2*p**4.
p**2*(p - 4)*(p - 1)*(p + 1)
Let w(r) be the third derivative of -r**8/112 - 3*r**7/7 - 15*r**6/2 - 50*r**5 + 74*r**2. Determine i so that w(i) = 0.
-10, 0
Factor -12*d**2 + 80*d**3 + 16*d + 92*d**3 - 176*d**3.
-4*d*(d - 1)*(d + 4)
Suppose 2*p + 12 = 3*p + 2*i, 4*p + i - 13 = 0. Suppose -6 = w + p*h, -w + 5*h + 14 = -1. Factor 0 - 1/6*j**2 + w*j.
-j**2/6
Let i(n) be the third derivative of n**5/12 - 5*n**4/12 + 5*n**3/6 + 12*n**2 - 6. Factor i(p).
5*(p - 1)**2
Let p(l) = -5*l**2 - 127*l - 354. Let t(v) = -10*v**2 - 255*v - 705. Let c(r) = 5*p(r) - 3*t(r). Let c(m) = 0. Calculate m.
-23, -3
Find j such that 35*j + 1/2*j**2 + 0 = 0.
-70, 0
Let g(k) be the first derivative of k**3/21 - 167*k**2/7 + 27889*k/7 - 69. Determine q so that g(q) = 0.
167
Let u = -3142 - -3142. Let o = -104/817 + 10/43. Find x such that -o*x + 2/19*x**2 + u = 0.
0, 1
Factor -42*d**4 - 39*d**4 - 180 - 5*d**2 + 136*d**4 - 40*d**4 + 300*d - 70*d**3.
5*(d - 3)**2*(d + 2)*(3*d - 2)
Factor 2/3*s**2 - 56/3*s + 392/3.
2*(s - 14)**2/3
Suppose 0 = 9*o + 63 - 117. Let s(p) be the second derivative of -1/14*p**7 + 0*p**4 + 0*p**3 + 6*p + 0 + 0*p**5 - 1/10*p**o + 0*p**2. Let s(r) = 0. What is r?
-1, 0
Let f(o) = 5*o**3 - 19*o**2 - 63*o + 79. Let x(w) = 66*w**3 - 246*w**2 - 819*w + 1026. Let a(l) = 27*f(l) - 2*x(l). Suppose a(y) = 0. What is y?
-3, 1, 9
Let q = 122 + -118. Factor -27*h**2 - q*h**3 - 257 - 128*h - 13*h**2 + 129.
-4*(h + 2)*(h + 4)**2
Let x(g) be the first derivative of 4*g**5 - 13*g**4 + 12*g**3 + 2*g**2 - 8*g - 184. Factor x(n).
4*(n - 1)**3*(5*n + 2)
Determine t so that -187*t**2 + 27*t + 0*t + 119*t**2 + 71*t**2 = 0.
-9, 0
Let l(a) be the third derivative of -a**7/105 + a**6/12 - 4*a**5/15 + a**4/3 + 6*a**2. Find b, given that l(b) = 0.
0, 1, 2
Let i(d) be the first derivative of 5*d**7/168 + 3*d**6/40 + 3*d**5/80 - d**4/48 - 9*d - 12. Let k(t) be the first derivative of i(t). Let k(j) = 0. What is j?
-1, 0, 1/5
Let h be (4944/20)/((-4)/6). Let m = h - -372. Let 9/5*c**3 + 0 - m*c + 3/5*c**4 - 3/5*c**5 - 3/5*c**2 = 0. Calculate c.
-1, 0, 1, 2
Let c be (8 - -11) + (-1182)/66. Find h such that 10/11*h**2 - c + 2/11*h = 0.
-6/5, 1
Let n(y) be the first derivative of 2/5*y**5 + 0*y**2 - 3/4*y**4 + 0*y**3 + 1/6*y**6 + 0*y - 11. Suppose n(v) = 0. What is v?
-3, 0, 1
Let a(y) be the third derivative of 0*y**3 + 0*y + 5*y**2 + 0 - 1/420*y**6 + 1/735*y**7 + 1/21*y**4 - 2/105*y**5. What is p in a(p) = 0?
-2, 0, 1, 2
Let v(q) be the second derivative of 2*q**7/525 - q**6/150 - q**5/75 + q**4/30 + q**2/2 + 6*q. Let a(i) be the first derivative of v(i). Factor a(h).
4*h*(h - 1)**2*(h + 1)/5
Suppose -2*d + 0*d = 0. Let v = 3 + d. Factor -8*r + 9*r**4 - 11*r**2 - 1 - 25*r**4 - 13*r**2 - 32*r**v.
-(2*r + 1)**4
Let i(p) be the second derivative of p**6/105 + p**5/10 + p**4/3 + 8*p**3/21 + 2*p - 26. Let i(w) = 0. Calculate w.
-4, -2, -1, 0
Let v(s) be the first derivative of -s**4/28 + 4*s**3/21 + s**2/14 - 4*s/7 - 117. Let v(g) = 0. Calculate g.
-1, 1, 4
Let o = 144 - 166. Let p be -6*(o/(-4) - 6). Determine c so that 0*c**2 - 4/7*c - 2/7*c**4 + 2/7 + 4/7*c**p = 0.
-1, 1
Let d(s) be the first derivative of s**5/20 - s**4/16 - s**3/4 + s**2/8 + s/2 + 160. Factor d(n).
(n - 2)*(n - 1)*(n + 1)**2/4
Let a(t) be the second derivative of -t**4/16 + 23*t**3/8 - 33*t**2/4 + 48*t - 1. Suppose a(l) = 0. What is l?
1, 22
Let x(f) be the third derivative of -1/40*f**5 - 1/2*f**3 + 0 + 0*f - 39*f**2 - 3/16*f**4. Factor x(g).
-3*(g + 1)*(g + 2)/2
Let k(c) be the first derivative of -c**3/12 - 15*c**2/4 + 31*c/4 - 47. Factor k(z).
-(z - 1)*(z + 31)/4
Determine n, given that -2/7*n**2 + 2/7*n + 4/7 = 0.
-1, 2
Let 8978/13 - 9246/13*q - 2/13*q**3 + 270/13*q**2 = 0. Calculate q.
1, 67
Let s = 11 + -12. Let w be (-6)/(-4) - s/2. Let 0*j**2 + 4*j + 0*j**4 + 4*j**w - 2*j**4 + 6*j**3 + j**5 - 9*j**3 = 0. What is j?
-1, 0, 2
Solve -72/7*k - 4/7*k**2 - 180/7 = 0 for k.
-15, -3
Let z(l) = l**2 + 29*l - 60. Let i be z(-31). Let c(q) be the second derivative of 0 + 0*q**5 + 1/4*q**4 + 0*q**3 + 0*q**i - 10*q - 1/10*q**6. Factor c(u).
-3*u**2*(u - 1)*(u + 1)
Factor 0*m**2 + 17/3*m**4 + 1/3*m**5 + 0 + 16/3*m**3 + 0*m.
m**3*(m + 1)*(m + 16)/3
Let x(d) be the third derivative of 0*d + 0*d**4 + 0 + 0*d**3 - 1/240*d**6 - 9*d**2 + 0*d**5. Determine t so that x(t) = 0.
0
Find i such that -6/7*i + 2/7*i**4 - 10/7*i**2 + 0 - 2/7*i**3 = 0.
-1, 0, 3
Let i(l) = -l + 8. Let t be i(8). Suppose 0*g + 15 = g + 3*b, t = 5*g - 5*b + 25. Find v such that -2/9*v**4 + 2/9*v**3 + 0*v**2 + 0*v + g = 0.
0, 1
Let y(w) = -22 - 44 - 28 + 9 - 17*w. Let i be y(-5). Factor 1/2*x**2 + x - 1/2*x**3 + i.
-x*(x - 2)*(x + 1)/2
Factor -2/9*j**3 + 13718/9 + 38/3*j**2 - 722/3*j.
-2*(j - 19)**3/9
Factor 62/17*j + 2*j**2 + 2/17*j**3 + 30/17.
2*(j + 1)**2*(j + 15)/17
Let t = -60