t in c(t) = 0?
-5, -2, 5
Let s be 12992/(-38) + -1*(-18)/(-171). Let r be -2*(s/96 + 3). Factor 0 - 3/8*l**3 - r*l**2 + 0*l.
-3*l**2*(l + 3)/8
Let k(y) be the third derivative of 1/45*y**5 + 0*y**4 + 3*y**2 - 8/9*y**3 + 0*y + 0. Find m such that k(m) = 0.
-2, 2
Let j(y) be the first derivative of -1/2*y**3 + 9/4*y - 3/20*y**5 + 15/8*y**2 + 27 + 1/8*y**6 - 9/8*y**4. Suppose j(z) = 0. What is z?
-1, 1, 3
Find v such that -8/9*v**3 + 14/9*v**2 + 20/9*v + 0 - 2/9*v**4 = 0.
-5, -1, 0, 2
Suppose -2*v = -t - 11, 4*t - 34 = -4*v + 2*t. Let y = 7 - v. Let -2*l**3 + 3*l**2 + 2*l - 4 + y*l + l**2 = 0. What is l?
-1, 1, 2
Factor -3/4 + 1/4*v**2 + 1/2*v.
(v - 1)*(v + 3)/4
Let 0 + 1/6*b**5 + 5/3*b**2 + 0*b + 1/3*b**4 - 13/6*b**3 = 0. Calculate b.
-5, 0, 1, 2
Let b = 80 - 119. Let z = 39 + b. Factor -9/4*q + 3/4*q**2 + z.
3*q*(q - 3)/4
Factor 2*d**3 + 1/3*d**4 + 4*d**2 + 0 + 8/3*d.
d*(d + 2)**3/3
Suppose 4*o + 116 = 4*p - 244, -5*p + 504 = o. Factor 21 + 324/7*y**3 + 864/7*y**2 + p*y.
3*(3*y + 1)*(6*y + 7)**2/7
Let x(p) be the first derivative of -p**6/18 - 13*p**5/15 + 23*p**4/6 - 32*p**3/9 + 129. Solve x(u) = 0.
-16, 0, 1, 2
Let t be -12 - (3 - 9) - -10. Let b(f) be the third derivative of 1/3*f**3 + 0*f - 10*f**2 - 1/60*f**5 + 0 + 1/24*f**t. Factor b(i).
-(i - 2)*(i + 1)
Let f(j) = -j**4 + j**3 + j**2 - 3. Let q(y) = 2*y**5 - 6*y**4 - 54*y**3 - 58*y**2 - 18*y + 18. Let o(g) = -6*f(g) - q(g). Find m such that o(m) = 0.
-1, 0, 9
Let z = 2361 - 2349. Let x(d) be the second derivative of -1/108*d**4 + 1/270*d**6 + z*d + 0 + 1/90*d**5 + 0*d**2 - 1/27*d**3. What is g in x(g) = 0?
-2, -1, 0, 1
Let l = -438 + 1240. Factor -377*u + l*u - 4*u**3 + 24 - 397*u.
-4*(u - 3)*(u + 1)*(u + 2)
Let i(y) be the first derivative of 3*y**5/8 + 69*y**4/32 + 4*y**3 + 9*y**2/4 + 38. Factor i(r).
3*r*(r + 2)**2*(5*r + 3)/8
Let s = -1874/3 - -26237/42. Let x(m) be the second derivative of 1/3*m**3 - 1/10*m**6 + 0 + 1/4*m**4 - s*m**7 - m + 0*m**2 - 1/20*m**5. Factor x(j).
-j*(j - 1)*(j + 1)**2*(j + 2)
Let o(r) be the first derivative of -2*r**5/5 - r**4 + 16*r**3 - 875. Factor o(n).
-2*n**2*(n - 4)*(n + 6)
Let l = -18 + 21. Suppose 3*n - l*w = 15, -4*n + 1 + 1 = 5*w. Let -5*f + 0*f**2 - 3 + 5*f + n*f**2 = 0. Calculate f.
-1, 1
Let r(y) = -6*y - 28. Let a be r(7). Let c be (-16)/(-14)*a/(-20). Suppose 0*t**2 + 0 + 1/4*t - 1/2*t**3 + 0*t**c + 1/4*t**5 = 0. What is t?
-1, 0, 1
Let c(u) be the third derivative of 2*u**7/105 + 2*u**6/15 + u**5/5 - 2*u**4/3 - 8*u**3/3 + 3*u**2 - 1. Solve c(z) = 0.
-2, -1, 1
Suppose 4*a = 12 - 0. Factor -48*o**2 + 586*o - 80*o**a - 591*o - 2*o**2.
-5*o*(2*o + 1)*(8*o + 1)
Let p = -15 + 15. Let t(n) be the second derivative of 1/10*n**6 - 3/20*n**5 + 0 + p*n**2 + 6*n + 0*n**3 + 0*n**4. Factor t(b).
3*b**3*(b - 1)
Let o = 21/103 - 1535/8034. Let z(h) be the third derivative of 0*h**3 + 0*h + 1/390*h**5 + 0 + 1/780*h**6 - 5*h**2 - o*h**4. Let z(c) = 0. Calculate c.
-2, 0, 1
Let a(j) be the first derivative of 3*j**4/7 + 10*j**3/7 - 33*j**2/7 + 24*j/7 + 28. Factor a(m).
6*(m - 1)*(m + 4)*(2*m - 1)/7
Let w(k) be the third derivative of -k**7/70 - 7*k**6/20 - 61*k**5/20 - 21*k**4/2 - 18*k**3 - k**2 + 23*k. Suppose w(s) = 0. Calculate s.
-6, -1
Let q(y) be the second derivative of 0 - 1/36*y**4 - y - 1/3*y**2 - 1/6*y**3. What is u in q(u) = 0?
-2, -1
Factor 2/5*k**4 + 0 - 32/5*k**2 + 2/5*k**3 + 8*k.
2*k*(k - 2)**2*(k + 5)/5
Let u(b) be the first derivative of b**7/315 - b**6/225 - b - 2. Let x(l) be the first derivative of u(l). Let x(z) = 0. What is z?
0, 1
Let x = 18/31 + 101/93. Let n(z) be the first derivative of -4/3*z**4 + 32/45*z**5 - 1 - 46/27*z**3 - 4/9*z + x*z**2. Find h, given that n(h) = 0.
-1, 1/4, 2
Let j(c) be the second derivative of c**4/3 + 12*c**3 + 64*c**2 + c - 190. Suppose j(t) = 0. What is t?
-16, -2
Determine f so that -9/7*f**2 + 12/7 - 3/7*f**3 + 0*f = 0.
-2, 1
Let l(i) be the first derivative of 2*i**3/9 - 6*i**2 - 80*i/3 + 422. Factor l(w).
2*(w - 20)*(w + 2)/3
Let s(c) = -2*c**2 + 2. Let q = 33 + -29. Let m(h) = 4*h**2 + h - 3. Let v(l) = q*m(l) + 7*s(l). Solve v(f) = 0.
-1
Let z(i) = -i**2 + 5*i + 8. Let t be z(7). Let h = 11 + t. Solve 3*v**2 - 8*v**3 - v**4 + 4*v**3 + 10*v**4 - 5*v**3 - 3*v**h = 0 for v.
0, 1
Let q(r) = -r**2 + 17*r - 12. Let a be q(16). Factor 2*v + a - 1 - 12*v**2 + 11*v**2.
-(v - 3)*(v + 1)
Find f such that -40/11 + 6/11*f**3 + 2/11*f**4 - 34/11*f**2 - 78/11*f = 0.
-5, -1, 4
Suppose 36*v - 33*v - 9 = 0. Factor 8 + 40*n**2 - 2*n + 3615*n**5 + 20*n**v - 3617*n**5 + 32*n.
-2*(n - 4)*(n + 1)**4
Let v(i) = -i**2 + i - 1. Let k(h) be the third derivative of -h**5/20 + h**4/4 - 5*h**3/6 + 2*h**2. Let r(m) = k(m) - 2*v(m). Determine y, given that r(y) = 0.
1, 3
Let b(j) be the second derivative of 4*j**5/5 + 8*j**4 + 30*j**3 + 54*j**2 - 16*j + 10. Suppose b(w) = 0. What is w?
-3, -3/2
Factor -64/3*l**2 + 0 + 0*l + 0*l**4 + 4/3*l**5 - 16*l**3.
4*l**2*(l - 4)*(l + 2)**2/3
Suppose -5*y + 17 = -83. Let o be (36/y)/((-8)/(-20)). Factor o*l**2 - 3/2*l - 9/2*l**3 + 3/2*l**4 + 0.
3*l*(l - 1)**3/2
Let p(x) = -26*x**4 + 43*x**3 - 40*x**2 + 23. Let t(m) = 9*m**4 - 14*m**3 + 13*m**2 - 8. Suppose 2 = n - 2. Let o(z) = n*p(z) + 11*t(z). Factor o(i).
-(i - 2)*(i - 1)**2*(5*i + 2)
Let f(i) = 5390*i**3 + 4015*i**2 + 720*i + 55. Let n(z) = -599*z**3 - 446*z**2 - 80*z - 6. Let p(t) = 6*f(t) + 55*n(t). Determine l so that p(l) = 0.
-4/11, 0
Determine v, given that 2/7*v**3 - 18/7*v + 6/7*v**2 + 10/7 = 0.
-5, 1
Let i(t) be the second derivative of t**6/10 + 12*t**5/5 + 6*t**4 - 160*t**3 + 600*t**2 - 559*t. Suppose i(b) = 0. Calculate b.
-10, 2
Solve -130*r**2 + 37 + 18 - 365*r**3 + 31 - 100*r**4 + 225*r + 4 = 0 for r.
-3, -1, -2/5, 3/4
Determine s, given that 5*s**2 + 125/4 - 1/4*s**4 + 3/2*s**3 - 75/2*s = 0.
-5, 1, 5
Let t(r) be the third derivative of -r**6/12 + 2*r**5/15 + 7*r**4/12 - 2*r**3 + 277*r**2. Let t(m) = 0. What is m?
-6/5, 1
Suppose -880*y - 450 + 176/9*y**3 - 2/9*y**4 - 3692/9*y**2 = 0. Calculate y.
-1, 45
Solve -265*d**2 + 126*d**3 + 21 + 28*d**2 - 36*d + 2 - 11 = 0 for d.
-2/7, 1/6, 2
Let n(f) be the first derivative of 0*f**2 - 1/9*f**3 - 1/12*f**4 - 11 + 0*f. Solve n(a) = 0 for a.
-1, 0
Let s(d) be the second derivative of -5*d**6/72 - 13*d**5/24 - 5*d**4/4 - d**3/3 + 22*d. Let r(j) be the second derivative of s(j). Factor r(a).
-5*(a + 2)*(5*a + 3)
Let g = 2435/1827 - -1/1827. Let w be (-1)/2 - 7/(-6). Suppose 2/3 + w*s**2 + g*s = 0. What is s?
-1
Suppose 3*n = 4*y - 3, -3*y - 3*n = -2*n + 1. Let k(h) be the first derivative of -3/28*h**4 + 0*h + 0*h**2 + y*h**3 + 9. Factor k(v).
-3*v**3/7
Find f such that -110/9 - 32/9*f - 2/9*f**2 = 0.
-11, -5
Let r(b) be the first derivative of b**6/2 + 3*b**5/5 - 21*b**4/4 - b**3 + 9*b**2 + 503. Solve r(d) = 0 for d.
-3, -1, 0, 1, 2
Let k(l) = 2*l**3 - 890*l**2 + 88207*l - 2910898. Let a(n) = n**3 - n**2 + 2*n + 1. Let y(x) = a(x) + k(x). What is c in y(c) = 0?
99
Let p(i) be the third derivative of -i**8/8400 - i**7/1400 - i**6/600 - i**5/600 + i**3/6 - 2*i**2. Let b(v) be the first derivative of p(v). Factor b(f).
-f*(f + 1)**3/5
Factor 1/4*n**2 + 3/4*n - 5/2.
(n - 2)*(n + 5)/4
Let d(i) = 4*i**4 - 22*i**3 - 29*i**2 - 3*i + 3. Let h(u) = 3*u**4 - 24*u**3 - 29*u**2 - 2*u + 2. Let n(s) = 4*d(s) - 6*h(s). Factor n(t).
-2*t**2*(t - 29)*(t + 1)
Factor -8/3*i**4 + 0*i**2 + 0*i + 0 + 8/15*i**3 + 6/5*i**5.
2*i**3*(i - 2)*(9*i - 2)/15
Let s = 36 + -104/3. Let r be 8/20 - 8/(-30). What is v in r*v**4 - s*v**2 + 0 - 2/3*v**3 + 0*v = 0?
-1, 0, 2
Let i(c) be the second derivative of 3*c**5/16 - 31*c**4/16 - 122*c. Determine o so that i(o) = 0.
0, 31/5
Let b(m) be the second derivative of 5/6*m**7 + 10*m**2 + 0 - 5/6*m**6 + 5/12*m**4 - 13*m + 40/3*m**3 - 23/4*m**5. What is d in b(d) = 0?
-1, -2/7, 1, 2
Let n(t) be the third derivative of -t**8/336 - t**7/315 - 5*t**4/6 + 31*t**2. Let w(i) be the second derivative of n(i). Solve w(k) = 0.
-2/5, 0
Let r = -1179 + 1184. Let x(u) be the third derivative of 0 + 0*u - 7/30*u**r - 1/6*u**4 + 0*u**3 + 10*u**2. Factor x(w).
-2*w*(7*w + 2)
Let y(x) be the first derivative of -x**8/168 + x**6/30 - x**4/12 - 4*x**2 - 6. Let r(j) be the second derivative of y(j). Factor r(b).
-2*b*(b - 1)**2*(b + 1)**2
Let d(g) be the third derivative of -g**5/80 - 3*g**