 5/3*k**2 + t = 0. Calculate k.
-1, 0, 1
Let n(g) be the third derivative of g**5/240 + 5*g**4/48 + 7*g**3/8 - 92*g**2. Factor n(q).
(q + 3)*(q + 7)/4
Suppose -5*y - 1 = x + 2, -5*x - 15 = 2*y. Suppose -3*l = -y*l - 9. Factor -8*v**4 + 4 - 2*v**5 + l*v**2 + v**2 + 10*v + 0*v**2 - 8*v**3.
-2*(v - 1)*(v + 1)**3*(v + 2)
Suppose -21*n - 38 = -164. Let s(g) be the first derivative of 1/7*g**2 - 2/35*g**5 + n + 0*g + 3/14*g**4 - 2/7*g**3. What is i in s(i) = 0?
0, 1
Solve -6*t**2 + 36/5 - 22*t + 22*t**3 - 6/5*t**4 = 0 for t.
-1, 1/3, 1, 18
Let h(o) be the first derivative of -4*o**3 + 404*o**2 - 268*o + 9. Find i such that h(i) = 0.
1/3, 67
Solve 798*k**3 - 986*k**3 - 323*k + 4*k**5 - k**5 + 125*k + 292*k**2 - k**5 + 42*k**4 + 50 = 0.
-25, 1
Factor 196/3 + 56/3*h + 4/3*h**2.
4*(h + 7)**2/3
Factor -2/3 + 1/3*b**4 - 1/3*b**3 - b**2 + 5/3*b.
(b - 1)**3*(b + 2)/3
Let n(u) be the first derivative of -15 - 23/10*u**4 - 6/25*u**5 - 16/3*u**3 + 16/5*u**2 + 0*u. Let n(s) = 0. Calculate s.
-4, 0, 1/3
Let c be (-1)/(0 + -5 + 4)*0. Solve -5/4*g**3 + 5*g**2 + c - 5*g**4 + 5/4*g = 0 for g.
-1, -1/4, 0, 1
Let r(u) be the first derivative of 92*u + 18*u**2 + 25*u - 10 - 37*u + u**3 + 28*u. Factor r(q).
3*(q + 6)**2
Factor 0*w - 2/5*w**2 + 0 - 3/5*w**3 + 1/5*w**5 + 0*w**4.
w**2*(w - 2)*(w + 1)**2/5
Let s(n) be the third derivative of -n**6/60 - 17*n**5/15 - 80*n**4/3 - 512*n**3/3 - 9*n**2 + 12. Factor s(g).
-2*(g + 2)*(g + 16)**2
Factor -2*i**2 + 2/3*i**4 - 20/3*i + 16/3 + 8/3*i**3.
2*(i - 1)**2*(i + 2)*(i + 4)/3
Let g(h) = -h**3 + 6*h**2 - 6*h + 9. Let p be g(5). Factor -p + r**2 + 36*r - 36*r.
(r - 2)*(r + 2)
Let p(y) = -17*y**3 - 27*y**2 - 3*y + 1. Let h(a) = -16*a**3 - 26*a**2 - 4*a + 2. Let c be -2*1 + (-6 + 2 - -4). Let w(f) = c*p(f) + 3*h(f). Factor w(n).
-2*(n + 1)**2*(7*n - 2)
Factor 3*b + b**3 - 3*b**2 - 3*b**2 + 0*b**2 + 2*b**3.
3*b*(b - 1)**2
Factor 70*p + 5*p**2 + 50 - 23 - 27.
5*p*(p + 14)
Factor 46/7*g + 12/7 - 18/7*g**3 - 40/7*g**2.
-2*(g - 1)*(g + 3)*(9*g + 2)/7
Let f(w) = -32*w - 3. Let q be f(-2). Let x = q + -56. Suppose 0*c**2 + 2/9*c**x + 4/9*c**4 + 0*c**3 + 0*c + 0 = 0. What is c?
-2, 0
Let h(a) be the second derivative of a**7/3780 + a**6/810 + a**5/540 + 11*a**3/3 + 17*a. Let f(j) be the second derivative of h(j). Suppose f(t) = 0. What is t?
-1, 0
Factor -2/7*k**3 - 200/7 - 58/7*k**2 - 208/7*k.
-2*(k + 2)**2*(k + 25)/7
Let g be (-18)/(-5)*((-4598)/247 + 19). Suppose 12/13*h - 2/13*h**2 - g = 0. What is h?
3
Let c = -8 + 10. Suppose -v**2 - 4*v**c - 28*v**3 + 0*v + 32*v**3 + v = 0. Calculate v.
0, 1/4, 1
Let w be 6 - 3 - (1 - 1). Solve o + 11*o + o - w*o + 5*o**2 = 0.
-2, 0
Solve -156/5 - 3/5*a**2 + 51/5*a = 0.
4, 13
Let m(d) be the third derivative of 3*d**6/320 + 3*d**5/160 - 25*d**4/192 + 7*d**3/48 + 2*d**2 - 11. Let m(q) = 0. Calculate q.
-7/3, 1/3, 1
Factor 8 + 2*o**4 - 4*o**5 - 64*o + 3*o**3 - o**3 + 6*o**4 - 16*o**2 + 3*o**5 + 63*o.
-(o - 8)*(o - 1)**2*(o + 1)**2
Factor -1/5*y**4 - 29/5*y**3 - 512/5 - 162/5*y**2 + 704/5*y.
-(y - 2)*(y - 1)*(y + 16)**2/5
Let k(z) be the third derivative of -z**6/540 - z**5/60 + z**4/9 - 3*z**3/2 + 38*z**2. Let m(x) be the first derivative of k(x). Suppose m(l) = 0. Calculate l.
-4, 1
Let g = -10 - 10. Let w = -16 - g. What is a in -4*a**3 - 8*a**4 + 16*a**w - 4*a**5 + 0*a**3 = 0?
0, 1
Let y(b) be the third derivative of -b**6/300 - 77*b**5/150 + 13*b**4/10 + 14*b**2 - 11. Factor y(r).
-2*r*(r - 1)*(r + 78)/5
Let v be (-43)/(-40) - (2 + (-27)/15). Let k = v - 5/8. What is b in k - 3/4*b**2 + 1/2*b**4 - 1/4*b + 1/4*b**3 = 0?
-1, 1/2, 1
Let l(x) be the first derivative of -2/5*x - 1/10*x**2 - 9 + 1/15*x**3. What is r in l(r) = 0?
-1, 2
Suppose 833 + 97 = 385*j + 80*j. Factor 3/7 + 0*r - 3/7*r**j.
-3*(r - 1)*(r + 1)/7
Let n(u) be the second derivative of -3*u**5/4 + 59*u**4/4 - 112*u**3/5 + 66*u**2/5 + 164*u. Suppose n(c) = 0. Calculate c.
2/5, 11
Let r(w) be the first derivative of -w**9/13608 - w**8/7560 + w**7/3780 + w**6/1620 + 10*w**3/3 + 4. Let g(o) be the third derivative of r(o). Factor g(u).
-2*u**2*(u - 1)*(u + 1)**2/9
Let b be (-21)/(-6)*2 + (2 - 5). Determine u, given that -84*u + 609*u**3 - 424*u**5 + 552*u**b + 3 + 21 + 109*u**5 - 198*u**2 - 168*u**4 = 0.
-1, -2/5, 2/7, 1/3, 2
Let g(t) be the second derivative of 4*t**5/5 - 17*t**4/6 + 2*t**3/3 + 322*t. Factor g(c).
2*c*(c - 2)*(8*c - 1)
Let t be (8*(-35)/(-56))/((-10)/(-8)). Let k(z) be the third derivative of 0 - 1/60*z**5 + 0*z + 1/3*z**3 + 1/24*z**t - 8*z**2. Determine d so that k(d) = 0.
-1, 2
Let h(f) = -f**2 + 9*f + 4. Let y(q) = -5*q - 2. Let k be 9*(-3)/(-1)*(-1)/3. Let m(x) = k*y(x) - 4*h(x). Factor m(p).
(p + 2)*(4*p + 1)
Let y(l) = -8*l - 50. Let p be y(-7). Suppose 0 = -2*g - 4*i - 0*i - 2, 3*i = -4*g + p. Factor -3/2 - 9/4*v**g - 21/4*v - 6*v**2.
-3*(v + 1)**2*(3*v + 2)/4
Let q = 3/31325 + 31307/187950. Let m = -1/33 + 4/11. Factor -m*a**2 + q*a + 1/3 - 1/6*a**3.
-(a - 1)*(a + 1)*(a + 2)/6
Let z(c) be the third derivative of 0 - 8/3*c**4 + 24*c**2 + 0*c - 8/3*c**3 - 13/15*c**5 - 1/10*c**6. Find v, given that z(v) = 0.
-2, -1/3
Let t be (8/6)/((11/(-36))/(-11)). Let d be 2/6*108/t. Suppose -d*s**2 - 9/4*s + 3 = 0. Calculate s.
-4, 1
Let u(v) be the third derivative of 0*v + 16*v**2 + 0 + 0*v**3 - 2/3*v**4 + 1/30*v**5. Determine q so that u(q) = 0.
0, 8
Let u be (-511)/(-21)*(0 + (0 - -1)). Let v = u - 24. Factor 0*r + v*r**2 + 0.
r**2/3
Let b(x) be the second derivative of -x**4/42 - 30*x**3/7 - 2025*x**2/7 - 336*x. Solve b(a) = 0 for a.
-45
Let z(y) be the third derivative of y**5/90 + 13*y**4/36 - 14*y**3/9 - 213*y**2. Let z(x) = 0. What is x?
-14, 1
Factor 2/5*y**2 - 22/5*y + 4.
2*(y - 10)*(y - 1)/5
Suppose -4*s = c - 15, 5*c - 9*c = -4*s. Solve -9*y**s - 27*y**4 + 3*y**3 + 9*y**5 + 3*y**5 + 27*y**2 - 6*y = 0.
-1, 0, 1/4, 1, 2
Suppose 28*n - 720 = 10*n. Let f be 30/n*16/6. Factor -2/3*i**f - 2 + 8/3*i.
-2*(i - 3)*(i - 1)/3
Let p = -24111/5 + 4823. Let 0 + 0*z + 4/5*z**4 + 4/5*z**3 - p*z**5 - 4/5*z**2 = 0. Calculate z.
-1, 0, 1
Let f be (-8)/((-48)/(-10)) - (-2 - 0). Solve 1/3*x**2 + 0*x + 0 - f*x**3 = 0 for x.
0, 1
Suppose 138 - 49 = h + 3*u, -3*h + 2*u = -289. Find b such that 3*b - 95 + 3*b**3 + h + 6*b**2 = 0.
-1, 0
Let c(b) be the second derivative of -1/9*b**3 - 2*b + 2/3*b**2 - 1/18*b**4 + 0. Let c(p) = 0. What is p?
-2, 1
Let o(s) = -13*s**2 - 65*s + 58. Let f(p) = 35*p**2 + 130*p - 115. Let y(z) = -2*f(z) - 5*o(z). Factor y(c).
-5*(c - 12)*(c - 1)
Let d(z) = -z**3 - 2*z + 2. Let w(h) = -10*h**3 + 121*h**2 - 483*h - 399. Let b(j) = 3*d(j) - w(j). Determine n so that b(n) = 0.
-5/7, 9
Let w(y) be the second derivative of -y**5/10 + y**3/3 - 33*y - 1. Let w(r) = 0. What is r?
-1, 0, 1
Solve -16/3 + 2*g**3 + 4/3*g + 26/3*g**2 = 0 for g.
-4, -1, 2/3
Let l be -13 + 861/75 + 4/2. Let a(q) be the first derivative of 0*q - l*q**5 - 3/10*q**2 - 1/10*q**6 - 9/10*q**4 + 7 - 4/5*q**3. Find j such that a(j) = 0.
-1, 0
Let v(i) be the first derivative of i**8/448 - i**7/280 - i**6/160 + i**5/80 + 17*i**2/2 - 10. Let l(c) be the second derivative of v(c). Factor l(d).
3*d**2*(d - 1)**2*(d + 1)/4
Let u(w) be the third derivative of -w**5/30 + 7*w**4/12 + 8*w**3/3 + 65*w**2. Suppose u(b) = 0. What is b?
-1, 8
Let r(q) = q**2 + 7*q**3 + 11 - 21*q**3 + 13*q + 13*q**3. Let g(m) = m + 1. Let t(l) = -40*g(l) + 5*r(l). Factor t(w).
-5*(w - 3)*(w + 1)**2
Factor 2/15*i**2 - 484/15*i + 29282/15.
2*(i - 121)**2/15
Let i(r) = -r**3 - r**2 + r + 1. Let v(o) = 10*o**3 + 6*o**2 + 11*o - 27. Let t(l) = 22*i(l) + 2*v(l). Factor t(p).
-2*(p - 2)*(p - 1)*(p + 8)
Factor 63/4*c - 3/4*c**3 + 3/2*c**2 + 27/2.
-3*(c - 6)*(c + 1)*(c + 3)/4
Let z(g) be the first derivative of 2*g**5/55 - 3*g**4/11 + 8*g**3/11 - 10*g**2/11 + 6*g/11 + 141. Factor z(b).
2*(b - 3)*(b - 1)**3/11
Let z(g) be the second derivative of 0 - 1/75*g**6 - 26*g + 0*g**2 - 1/25*g**5 - 1/30*g**4 + 0*g**3. Suppose z(s) = 0. Calculate s.
-1, 0
Let i(n) be the third derivative of 2*n**7/735 - 26*n**6/105 + 242*n**5/35 - 650*n**4/21 + 1250*n**3/21 + n**2 - 73. Suppose i(c) = 0. Calculate c.
1, 25
Let m(l) = l - 1. Let z(x) = 6*x**2 - 5*x**2 + 4*x**2 + 4*x - 22*x + 13. Let f(h) = 3*m(h) + z(h). Factor f(r).
5*(r - 2)*(r - 1)
Let w(h) be the third derivative of 1/2688*h**8 + 0*h**6 - h**2 + 1/8