5/10 + 7*o**4/8 + 4*o**3/3 + 22. Factor m(t).
-t**2*(t - 8)*(t + 2)**2/8
Suppose 4*t - 35 + 17 = 5*u, t + u = 0. Factor 50/7 - 20/7*f + 2/7*f**t.
2*(f - 5)**2/7
Factor 45 + 22*r + 59*r - 80*r + 3*r**2 - 3*r**3 + 50*r + 0*r**3.
-3*(r - 5)*(r + 1)*(r + 3)
Let r be (1 - 6/18)/((-2)/(-6)). Determine q, given that 11*q**r - 10*q**3 + 11*q**2 + 12*q**2 - 29*q**2 = 0.
0, 1/2
Let l(j) be the first derivative of j**4/4 - 2*j**3/3 - 4*j**2 - 176. Factor l(n).
n*(n - 4)*(n + 2)
Determine i so that 48*i**2 - 84*i + 147/4 = 0.
7/8
Let t(l) be the first derivative of -l**5/210 + l**4/14 - 5*l**3/21 + 18*l**2 - 7. Let d(u) be the second derivative of t(u). Find i, given that d(i) = 0.
1, 5
Let c be (27/6 + -1)*30/75. Let b(j) be the first derivative of 2/5*j + 8/5*j**3 - 4 - c*j**2. Let b(v) = 0. What is v?
1/4, 1/3
Let x(p) be the second derivative of 9*p**7/1400 - p**6/600 + 2*p**4/3 - 45*p. Let v(y) be the third derivative of x(y). Solve v(q) = 0 for q.
0, 2/27
Let p(u) be the first derivative of 2*u**6/15 + 7*u**5/10 + u**4/3 - u**3 + 3*u - 23. Let n(a) be the first derivative of p(a). Factor n(g).
2*g*(g + 1)*(g + 3)*(2*g - 1)
Let j be (30/20)/(1/4). Let f(w) be the third derivative of 0*w**4 - 1/240*w**5 + 0*w - w**2 - 1/160*w**j + 0*w**3 + 0. Factor f(q).
-q**2*(3*q + 1)/4
Let p be -1 + 4 - (-18)/(-6). Let j be -3*(p + (-2)/3). Determine m so that 49*m**2 + 4 + 3*m + j*m + 0 + 23*m = 0.
-2/7
Let n(d) be the third derivative of d**8/70560 - d**7/17640 - d**5/4 - 4*d**2. Let y(g) be the third derivative of n(g). Factor y(o).
2*o*(o - 1)/7
Let k = -2201/2 + 1101. Find c such that 1/2*c**3 - 1 + 3/2*c**2 - 1/2*c - k*c**4 = 0.
-1, 1, 2
Let n(i) be the second derivative of i**5/40 + 61*i**4/12 - 247*i**3/12 + 31*i**2 + 6*i + 77. Suppose n(d) = 0. What is d?
-124, 1
Let r(x) be the third derivative of x**6/240 + x**5/30 - 7*x**4/16 - 9*x**2 - 3. Determine a, given that r(a) = 0.
-7, 0, 3
Let i = -1211 + 1215. Factor 0*s - 8/5*s**i + 0 + 18/5*s**3 - 4/5*s**2.
-2*s**2*(s - 2)*(4*s - 1)/5
Let u(v) be the first derivative of v**5 + 5*v**4 + 10*v**3 + 10*v**2 + 5*v + 51. Factor u(l).
5*(l + 1)**4
Suppose 4*y = -3*d + 1, 3*d + 3*y + 5 = 8. Let n = 27/7 - 101/28. Factor m**2 + 0 - n*m**d - m.
-m*(m - 2)**2/4
Suppose -7 = -7*i - 0*i. Suppose f - 3 = -i. Let m(q) = -q**2 + 6*q + 1. Let t(w) = -w**2 + w - 1. Let y(s) = f*t(s) - m(s). Factor y(c).
-(c + 1)*(c + 3)
Let h(c) = -14*c**2 - 13*c**3 + 4 + c + 24*c - 5*c**2 + 8. Let t(f) = -19*f**3 - 28*f**2 + 37*f + 18. Let u(j) = -8*h(j) + 5*t(j). Factor u(w).
3*(w - 1)*(w + 2)*(3*w + 1)
Let i(s) = 4*s**3 + 13*s**2 - 10*s - 55. Let c(o) = 5*o**3 + 14*o**2 - 11*o - 56. Let r(u) = -5*c(u) + 6*i(u). Factor r(w).
-(w - 5)**2*(w + 2)
Let v(x) be the first derivative of x**4/10 - x**3/5 + x**2/10 + 34. Factor v(w).
w*(w - 1)*(2*w - 1)/5
Let y(p) be the third derivative of 226981*p**6/80 + 11163*p**5/20 + 183*p**4/4 + 2*p**3 - 36*p**2. Solve y(w) = 0.
-2/61
Let t(r) be the second derivative of r**5/240 - r**4/32 - r**3/6 + 3*r**2/2 - 9*r. Let h(z) be the first derivative of t(z). Factor h(g).
(g - 4)*(g + 1)/4
Let f(d) = -d**4 + d**2 - 2*d - 1. Let i(h) = -25*h**4 + 484*h**3 - 587*h**2 + 134*h + 3. Let o(b) = -3*f(b) - i(b). Factor o(v).
4*v*(v - 16)*(v - 1)*(7*v - 2)
Let 0 + 2/13*y**2 + 24/13*y = 0. What is y?
-12, 0
Suppose 9 = u + 3*o, -5*o + 15 = 7*u - 12*u. Let p(y) be the third derivative of -2*y**2 + u*y + 0 - 2/15*y**5 + 1/3*y**3 - 1/4*y**4. What is b in p(b) = 0?
-1, 1/4
Suppose 0 = 5*i - 50 + 5. What is h in h**4 + 4*h + 11*h - 3*h**3 - 6 - i*h**2 + 0*h + 2*h**4 = 0?
-2, 1
Let q be 0/((81/(-6))/(-9)*8/(-12)). Suppose -h = 2*b - 2, 8 = 4*h + b + b. Factor -3/2*d**4 + q - 3/2*d - 9/2*d**h - 9/2*d**3.
-3*d*(d + 1)**3/2
Let g(r) be the second derivative of 0*r**2 + 15*r - 1/6*r**4 + 0 + 0*r**3. What is t in g(t) = 0?
0
Suppose 0 = 9*q - 59 + 14. Let h(t) be the first derivative of 1/9*t**6 + 4 + 0*t**2 - 2/15*t**q + 0*t**4 + 0*t + 0*t**3. Find a, given that h(a) = 0.
0, 1
Determine x so that 0 - 51/2*x**3 - 3/2*x**4 + 450*x - 60*x**2 = 0.
-10, 0, 3
Let t(p) be the third derivative of -p**6/480 - 7*p**5/48 - 3*p**4 + 27*p**3/2 - 101*p**2 + 3*p. Factor t(k).
-(k - 1)*(k + 18)**2/4
Let f = 93/182 - 1/91. Let m(l) = l**2 - l - 4. Let a be m(3). Factor -1/3 - 1/6*i**a + f*i.
-(i - 2)*(i - 1)/6
Let g(x) be the first derivative of -9/8*x**2 - 3/4*x - 1/2*x**3 - 7. Factor g(i).
-3*(i + 1)*(2*i + 1)/4
Let y(r) be the first derivative of 75*r**5/32 + 75*r**4/16 + 15*r**3/4 + 3*r**2/2 + 10*r - 7. Let v(i) be the first derivative of y(i). Factor v(p).
3*(5*p + 2)**3/8
Let r(i) be the third derivative of -i**6/300 + i**5/10 + i**2 - 3*i. Solve r(d) = 0 for d.
0, 15
Suppose -5*u = -3*v - 10, 0 - 15 = -3*u. Let s(n) be the second derivative of 0 + 2*n + 1/40*n**v + 0*n**2 - 1/6*n**3 + 1/24*n**4. Determine i so that s(i) = 0.
-2, 0, 1
Let t(p) = p**2 - p. Let b(v) = -v**2 - 19*v + 38. Let g(j) = -b(j) - 2*t(j). Factor g(f).
-(f - 19)*(f - 2)
Let d be (-2 - 0)*(-1)/1. Let f be 6 - (-6)/(-4)*d. Factor 2*q**3 + 14 + q**3 - f*q + 3*q**2 - 17.
3*(q - 1)*(q + 1)**2
Factor 3*q**2 - 41 - 6 - 1 + 2*q**2 - 3*q**2 - 10*q.
2*(q - 8)*(q + 3)
Let f(j) = 7*j**2 - 93*j + 576. Let i(c) = 20*c**2 - 280*c + 1728. Let o = -54 - -51. Let g(k) = o*i(k) + 8*f(k). What is h in g(h) = 0?
12
Let r = -157 + 159. Let c be ((-9)/10)/(9/(-15)). Determine z, given that -3*z + c*z**r + 3/2 = 0.
1
Let n = 41 - 36. Factor 3 + 8*i**2 - 4*i - n + 34*i - 6.
2*(i + 4)*(4*i - 1)
Let t be ((-24)/18 - (-4)/30)*(-100)/40. Let h be 33/6 + 1 + 0. Factor 1/2*y**5 - 6*y**2 + 0 + 2*y + h*y**3 - t*y**4.
y*(y - 2)**2*(y - 1)**2/2
Suppose -18*t = -131 + 59. Find j such that 0 - 8/5*j**t - 16/5*j - 4/5*j**5 + 16/5*j**2 + 12/5*j**3 = 0.
-2, 0, 1
Let m = 31/2340 + -1/468. Let j(f) be the second derivative of 7*f - 2/15*f**2 + 1/15*f**3 + 0 - m*f**4. Solve j(z) = 0.
1, 2
Determine y so that 1673*y - 1646*y + 24*y**2 - 2*y**3 - 10*y**3 + 9*y**3 = 0.
-1, 0, 9
Let -k**3 + 25 - k**4 - 49 + k**2 + 0*k + k + 24 = 0. What is k?
-1, 0, 1
Let a be (-10300)/3500 - (-1 + 0 + -2). Let m(y) be the first derivative of -6 + a*y**5 + 4/21*y**3 + 0*y - 3/14*y**4 + 0*y**2. Factor m(u).
2*u**2*(u - 2)*(u - 1)/7
Let n be -5*21/(-433 - -13). Factor -n*k**2 + 1/4 + 0*k.
-(k - 1)*(k + 1)/4
Let d = -11164 + 11213. Find s, given that -7*s + d*s**2 + 1/4 = 0.
1/14
Let f(y) be the third derivative of y**5/140 + y**4/28 + y**3/14 + 65*y**2. Factor f(i).
3*(i + 1)**2/7
Let f(h) be the second derivative of h**5/80 + 2*h**4 - 65*h**3/8 + 49*h**2/4 + 491*h + 2. Find a, given that f(a) = 0.
-98, 1
Suppose 25*j = 12*j + 65. Let i(k) be the first derivative of -j - 2/3*k**3 + 3*k**2 - 4*k. Suppose i(u) = 0. What is u?
1, 2
Factor 74*q**2 - 38*q**2 - 3 - 2*q - 35*q**2.
(q - 3)*(q + 1)
Let z be (-2 - -7)*(-48)/15*-1. Let d = 81/5 - z. Factor -8/5 - 6/5*q**2 + d*q**3 + 12/5*q.
(q - 2)**3/5
Let j(v) be the third derivative of v**8/336 + 97*v**7/630 + 197*v**6/90 - 11*v**5/15 - 400*v**4/9 - 512*v**3/9 - 135*v**2. Let j(o) = 0. Calculate o.
-16, -2, -1/3, 2
Suppose 3*o + 3*g = -6, -4*g = -2*o + 12 + 14. Suppose 0 = -o*c - 3*c + 12. Factor -4/9*b**3 + 4/9*b + 0*b**c + 2/9*b**4 - 2/9.
2*(b - 1)**3*(b + 1)/9
Let g be -2 - 952/(-396) - (-2)/(-11). Let p(w) = -w**3 - w**2 - 2. Let j be p(-2). Factor -g*x + 0 - 2/9*x**j.
-2*x*(x + 1)/9
Let t(i) be the first derivative of -i**4 - 40*i**3/3 - 18*i**2 + 164. Factor t(c).
-4*c*(c + 1)*(c + 9)
Let s(u) be the second derivative of u**4/2 + 9*u**3/2 - 135*u**2/2 + 126*u + 1. Factor s(d).
3*(d - 3)*(2*d + 15)
Let i = 52243/7 - 7463. Factor 0 - 2/7*f**2 - i*f.
-2*f*(f + 1)/7
Let m(o) be the third derivative of o**5/510 + 13*o**4/102 + 8*o**2 + 2. Find x such that m(x) = 0.
-26, 0
Solve 0 + 2/13*a**2 + 90/13*a = 0 for a.
-45, 0
Factor 5/6*j**2 + 22090/3 - 470/3*j.
5*(j - 94)**2/6
Let s(p) = p**3 + 18*p**2 + 20*p - 12. Let x be s(-17). Let j = -63 - x. Factor 3/4*l - 1/4*l**3 - 1/2 + j*l**2.
-(l - 1)**2*(l + 2)/4
Suppose -6 - 9 = 5*h. Let u be (-16)/(-12)*h/(-2). Let 2 + 0*z**2 - 4*z**3 + 12*z + 4*z**u - 7*z + 5*z**3 = 0. Calculate z.
-2, -1
Let o(u) = 8*u**3 + 173*u**2 + 672*u + 512. Let h(b) = -12*b**3 - 260*b**2 - 1008*b - 768. Let p(l) = -5*h(l) - 8*o(l). Find f, given that p(f) = 0.
-16, -4