. Determine i so that -2/5*i**2 - t - 8/5*i = 0.
-3, -1
Let v be (-26)/(-10) + ((-16)/20)/(-2). Factor 15*m**4 + 9*m**2 + 14*m**4 - 26*m**4 + 12*m**v.
3*m**2*(m + 1)*(m + 3)
Let p(b) be the second derivative of -5*b**7/63 + b**6/18 + 7*b**5/12 - 35*b**4/36 - 5*b**3/18 + 5*b**2/3 + 5*b + 4. Find q such that p(q) = 0.
-2, -1/2, 1
Let u(t) be the first derivative of t**5/30 - t**4/9 + t**3/9 + 30*t - 23. Let c(m) be the first derivative of u(m). Solve c(k) = 0.
0, 1
Let r(c) be the first derivative of c**4/2 + 2*c**3/3 - 6*c**2 + 283. Factor r(i).
2*i*(i - 2)*(i + 3)
Suppose -191 = -4*v + y + 171, v + 4*y - 99 = 0. Let t = v + -89. Factor 2/7*o**t - 2/7*o + 0.
2*o*(o - 1)/7
Let n(h) = -11*h**2 - 575*h - 554. Let y(j) = -5*j**2 - 287*j - 278. Let t(c) = -2*n(c) + 5*y(c). Factor t(g).
-3*(g + 1)*(g + 94)
Let n(y) be the third derivative of 0*y**4 - 13*y**2 + 1/84*y**8 + 0 + 0*y**5 + 0*y**7 - 1/30*y**6 + 0*y**3 + 0*y. Find w, given that n(w) = 0.
-1, 0, 1
Let h(q) be the first derivative of q**7/420 - q**6/100 + 3*q**5/200 - q**4/120 + 16*q + 4. Let i(o) be the first derivative of h(o). Factor i(t).
t**2*(t - 1)**3/10
Let d be 1/(3/6)*(-26)/(-39). Determine n, given that -d + 2/9*n**2 - 2/9*n = 0.
-2, 3
Find n, given that -7/6*n**2 - 1 - 17/6*n = 0.
-2, -3/7
Let f(p) be the second derivative of -4*p**2 - 7/10*p**5 + 6*p + 19/6*p**4 + 0 - 8/3*p**3. Factor f(b).
-2*(b - 2)*(b - 1)*(7*b + 2)
Let i(k) be the first derivative of k**5/10 - k**4/2 + 5*k**3/6 - k**2/2 - 161. Determine u so that i(u) = 0.
0, 1, 2
Let n(c) be the third derivative of c**6/180 + c**5/45 - 13*c**4/12 + 8*c**3 + 2*c**2 - 152*c. Factor n(u).
2*(u - 3)**2*(u + 8)/3
Let -5*s + 96*s**4 - 44*s**4 - 42*s**4 + 15*s**3 = 0. What is s?
-1, 0, 1/2
Let c(u) be the first derivative of u**5/20 - 2*u**4 + 32*u**3 + 11*u**2/2 + 33. Let f(t) be the second derivative of c(t). Factor f(b).
3*(b - 8)**2
Let q(l) = -2*l**2 + 1. Let o(t) = -t**2 - t - 1. Suppose -3*p + 2*m = -85, -p - 2*p - 4*m + 55 = 0. Let a = -24 + p. Let x(s) = a*o(s) - q(s). Factor x(b).
(b - 2)*(b + 1)
Let l = -70 + 104. Let 2*u + l*u**2 - 35*u**2 + u - 2*u = 0. Calculate u.
0, 1
Let c(v) be the first derivative of -v**6/9 - 4*v**5/3 - 4*v**4 - 44*v**3/9 - 7*v**2/3 + 665. Find k such that c(k) = 0.
-7, -1, 0
Let -4/3*b**4 + 1/3*b**5 + 4/3*b**2 + 0*b + 0 - 1/3*b**3 = 0. What is b?
-1, 0, 1, 4
Suppose 3*y + 5*t + 23 = 58, -4*y - t + 24 = 0. Factor q**4 + 15*q + 17*q**2 + 3 - y*q**2 - 5*q + 6*q**3.
(q + 1)**3*(q + 3)
Let h(t) = -67*t - 6. Let n be h(-3). Let p = n + -193. Factor -3/2*j**3 + 0*j + 0*j**p + 0.
-3*j**3/2
Let j(d) = -d**3 + 18*d**2 + 19*d - 26. Let l be j(19). Let r = 29 + l. Solve 54/5*k**4 - 108/5*k**r - 4*k + 2/5 + 72/5*k**2 = 0 for k.
1/3, 1
Let i = 52 - 44. Find a, given that -i + 2*a**2 + a**2 - 17 + 22 = 0.
-1, 1
Suppose 0 = -3*v + 2*z + 88, 22 = v + 3*z - 11. Determine y, given that y**3 - 3*y**3 + 27*y + 12 - 6*y**3 - y**3 - v*y**2 = 0.
-4, -1/3, 1
Let a(o) be the first derivative of o**6/1440 - o**5/48 + 25*o**4/96 + 4*o**3/3 - 10. Let z(v) be the third derivative of a(v). Suppose z(x) = 0. What is x?
5
Suppose -5*x - 4*b - 17053 = -2*x, 5*b + 5 = 0. Let r = 51211/9 + x. Find u, given that 2*u**4 + 112/9*u**2 - r*u**3 - 32/3*u - 2/9*u**5 + 32/9 = 0.
1, 2
Let j(b) be the second derivative of -b**6/10 - 21*b**5/20 + 15*b**4/2 - 2*b**3 - 60*b**2 - b - 32. Factor j(s).
-3*(s - 2)**2*(s + 1)*(s + 10)
Suppose -102*v + 113*v + 12 = 67. Factor -1 + v*l - 9/4*l**2.
-(l - 2)*(9*l - 2)/4
Let g(x) = 3*x**5 + 19*x**4 + 26*x**3 - 31*x**2 - 22*x. Let t(z) = -z**3 + 2*z. Let k(q) = -g(q) - 5*t(q). Find c such that k(c) = 0.
-4, -3, -1/3, 0, 1
Let r be (2/(-52)*-4)/((-23)/(-184)). Factor -56/13*q - 2/13*q**5 - 76/13*q**2 - r*q**4 - 16/13 - 50/13*q**3.
-2*(q + 1)**2*(q + 2)**3/13
Let w(c) be the first derivative of -64*c**4/5 - 832*c**3/15 - 90*c**2 - 324*c/5 + 16. Solve w(b) = 0.
-9/8, -1
Suppose 5/7*h**3 - h**2 - 1/7*h**4 + 3/7*h + 0 = 0. What is h?
0, 1, 3
Let o(w) be the second derivative of 1/16*w**4 - 15/8*w**2 + 1/2*w**3 - 5*w + 0. Determine i, given that o(i) = 0.
-5, 1
Let k(o) = -20*o**4 + 32*o**3 - 100*o**2 - 24*o + 32. Let f(v) = 2*v**4 - 3*v**3 + 9*v**2 + 2*v - 3. Let r(p) = -32*f(p) - 3*k(p). Factor r(l).
-4*l*(l - 2)*(l + 1)**2
Suppose 5*w = -2*a + a + 4, 4*w = 2*a + 20. Let m be 0 + (-3 - -3) + a/(-14). Solve m*i**2 - 9/7 + 6/7*i = 0.
-3, 1
Let w(o) be the third derivative of -o**7/1470 + o**6/420 + o**5/105 - o**4/21 - 32*o**2 + 1. Factor w(u).
-u*(u - 2)**2*(u + 2)/7
Let u = 6 + -4. Let a be 2*u + -5 + (-24)/(-18). Factor a*v**3 + v + 1/3 + v**2.
(v + 1)**3/3
Let b(x) be the third derivative of -x**6/360 - 11*x**5/180 - 31*x**4/72 - 7*x**3/6 - x**2 + 32*x. Determine z so that b(z) = 0.
-7, -3, -1
Let c(v) be the first derivative of v**4/16 + 11*v**3/12 + 3*v**2 - 9*v - 7. Factor c(s).
(s - 1)*(s + 6)**2/4
What is s in 7870 + 3*s**3 + 1329*s - 2323 + 3960*s - 255*s**2 = 0?
-1, 43
Suppose 54 - 74 = -5*n, 0 = 3*x + n - 13. Let p(d) be the first derivative of 1/30*d**6 - 1/20*d**4 + 0*d**5 + 0*d + 0*d**2 + 0*d**x - 4. Factor p(o).
o**3*(o - 1)*(o + 1)/5
Find z, given that -39 + 0*z**2 - 3*z**2 - 12692*z + 12650*z = 0.
-13, -1
Suppose 56*w - 44 = 45*w. Let x(u) be the first derivative of -8 - 1/26*u**w + 1/13*u**2 + 0*u - 2/65*u**5 + 2/39*u**3. Factor x(f).
-2*f*(f - 1)*(f + 1)**2/13
Solve 2/9*v**3 - 7/9*v**2 + 1/3 + 2/9*v = 0 for v.
-1/2, 1, 3
Let v(j) = -j**2 - 1. Let d(z) = -z**2 + 45*z + 64. Let a(q) = -d(q) + 6*v(q). Suppose a(l) = 0. What is l?
-7, -2
Let u = 23 + 25. Factor -u*v + 45*v**2 - 19*v**2 + 64 - 22*v**2 + 16*v.
4*(v - 4)**2
Let a(l) = 1750*l**2 + 815*l - 395. Let j(q) = -146*q**2 - 68*q + 33. Let x(g) = 3*a(g) + 35*j(g). Factor x(f).
5*(4*f + 3)*(7*f - 2)
Let a(q) = -4*q + 2. Let i(j) be the first derivative of -j**3/3 + 8*j**2 - 9*j - 37. Let p(b) = -18*a(b) - 4*i(b). Factor p(c).
4*c*(c + 2)
Let n(a) be the second derivative of -a**4/36 - 5*a**3/9 - 3*a**2/2 - 6*a + 3. Find m such that n(m) = 0.
-9, -1
Let n be (((-15)/(-4))/5)/((-3)/(-30)). Let p(d) be the second derivative of -6*d**4 + n*d**3 - 12/5*d**5 - 6*d + 0 - 3*d**2. Factor p(m).
-3*(m + 2)*(4*m - 1)**2
Let t(m) be the first derivative of 2 + 0*m - 1/2*m**3 - 1/2*m**4 + 0*m**2 - 1/10*m**5. Factor t(l).
-l**2*(l + 1)*(l + 3)/2
Let k(w) be the first derivative of w**6/30 - 3*w**5/25 + w**4/20 + w**3/5 - w**2/5 - 21. Factor k(t).
t*(t - 2)*(t - 1)**2*(t + 1)/5
Solve 0*p + 2/17*p**2 + 6/17*p**4 + 0 - 2/17*p**5 - 6/17*p**3 = 0.
0, 1
Suppose -3*g - 144 = -11*g. Let o be (4/(-33))/((-3)/g). Solve o*q**2 + 4/11 + 10/11*q + 2/11*q**3 = 0.
-2, -1
Let l(g) be the first derivative of -g**4/6 - g**3 - 2*g**2 - 10*g + 14. Let r(p) be the first derivative of l(p). Suppose r(u) = 0. What is u?
-2, -1
Suppose -4*z + 2*z = -0*z. Suppose z = -2*b + 19 - 13. Find h, given that 6/7*h**5 + 76/7*h**2 - 20/7*h**4 + 16/7 - 6/7*h**b - 72/7*h = 0.
-2, 1/3, 1, 2
Let k(u) be the third derivative of 25*u**8/336 + 13*u**7/21 + 109*u**6/120 - 13*u**5/5 + 3*u**4/2 + 2*u**2 + 12. Find t, given that k(t) = 0.
-3, 0, 2/5
Let f(n) be the second derivative of -n**5/4 + 35*n**4/3 - 490*n**3/3 + n - 17. Find t, given that f(t) = 0.
0, 14
Let m = 6 + -4. Suppose s - 9 = -m*s. Suppose -13*j**2 + 3*j**4 - 13*j**4 + 16*j**s - 2*j**4 + 9*j**2 = 0. Calculate j.
0, 1/3, 1
Let m(u) = u**2 + 2*u - 13. Suppose 9*y = 14*y + 25. Let x be m(y). Factor -3*j**2 + 17*j + 2*j**x - 21*j.
-j*(j + 4)
Let d(g) = 3*g**5 - 30*g**4 - 6*g**3 + 102*g**2 + 81*g - 174. Let i(z) = z**5 - 2*z**4 - z**2 - 2. Let u(h) = d(h) - 6*i(h). Let u(x) = 0. What is x?
-3, 1, 2
Let j(x) = x**3 - x**2 + 1. Let k(z) = 87*z**3 + 543*z**2 - 328*z + 37. Let a(h) = 22*j(h) + 2*k(h). Factor a(p).
4*(p + 6)*(7*p - 2)**2
Let x(u) be the first derivative of 6 + 4*u**2 + 0*u + 17/5*u**5 + 4*u**3 - 1/2*u**6 - 15/2*u**4. Factor x(j).
-j*(j - 2)**3*(3*j + 1)
Let u be 3/(-3) - 3*-4. Let p = 15 - u. Find k such that -48*k**4 + 3*k**3 + 47*k**p - 2*k**3 = 0.
0, 1
Let p(t) be the third derivative of 0*t**3 + 0 + 6*t**2 + 0*t**5 + 0*t + 1/40*t**6 - 1/35*t**7 + 1/112*t**8 + 0*t**4. Suppose p(n) = 0. What is n?
0, 1
Let o be (-1)/5 - (-2484)/45. Determine j, given that 17*j - 78*j**3 + o*j**2 + 5*j**3 - 2*j**3 - 27*j = 0.
0, 1/3, 2