 What is v in 0*v + 2/13*v**5 + 0 - 6/13*v**4 - r*v**2 + 6/13*v**3 = 0?
0, 1
Let g = -2/181 - -5810/1629. Factor -g + 8/9*t**2 - 4/9*t**3 + 16/9*t.
-4*(t - 2)**2*(t + 2)/9
Let m(q) be the third derivative of q**5/420 - 11*q**4/56 + 16*q**3/21 - 12*q**2 - 4*q. Find c such that m(c) = 0.
1, 32
Let p(g) be the second derivative of -21*g**4/8 + 43*g**3/4 - 3*g**2/2 + 88*g. Determine o so that p(o) = 0.
1/21, 2
Determine l, given that 2/7*l**3 + 0*l**2 - 4/7 - 6/7*l = 0.
-1, 2
Let t be 51/(-6)*(-5 - -11). Let p be (2/(-6)*2)/(17/t). Determine n so that -5/4*n**p + 1/2*n + 3/4 = 0.
-3/5, 1
What is k in -2*k**2 + 0 - 1/2*k**3 + 0*k = 0?
-4, 0
Let r(l) be the third derivative of 10*l**7/3 + 139*l**6/72 - 221*l**5/36 + 35*l**4/9 - 10*l**3/9 + 3*l**2 + 110. Solve r(w) = 0 for w.
-1, 2/15, 1/4, 2/7
Suppose -2*i + 12 = 4*i. Suppose 4*s + 5*l = 6, 0 = 5*s - i*l - 16 - 8. What is c in -9/5*c**2 + 2/5 + c**3 - c + 7/5*c**s = 0?
-1, 2/7, 1
Factor 10/3*n + 2/3*n**2 - 4.
2*(n - 1)*(n + 6)/3
Let o(a) = 9*a**4 - 33*a**3 + 39*a**2 - 7*a - 4. Let t(d) = 19*d**4 - 67*d**3 + 78*d**2 - 13*d - 8. Let z(r) = -9*o(r) + 4*t(r). Factor z(p).
-(p - 4)*(p - 1)**2*(5*p + 1)
Let g(m) be the third derivative of -m**5/210 + m**4/14 - 5*m**3/21 - 2*m**2 - 432*m. Let g(q) = 0. What is q?
1, 5
Let k be 115/35 - -1 - (5 - 1). Let w(z) be the second derivative of k*z**2 - 3*z + 1/140*z**5 + 0 - 2/21*z**3 - 1/84*z**4. Factor w(l).
(l - 2)*(l - 1)*(l + 2)/7
Let o(i) be the third derivative of -i**7/630 - i**6/15 + 13*i**5/90 + i**4/3 - 25*i**3/18 + 315*i**2. Suppose o(y) = 0. What is y?
-25, -1, 1
Factor 3456*c**3 + 137*c**2 - 3402*c**3 - 23*c**2 + 8*c**4 - 24 + 64*c.
2*(c + 2)**2*(c + 3)*(4*c - 1)
Suppose 5*m - a - 12 = -2*a, 15 = 2*m - 3*a. Factor 6 - 20*u**4 + 5*u**5 + 10*u**2 + 20*u**m + 10 - 25*u - 6.
5*(u - 2)*(u - 1)**3*(u + 1)
Factor -7/3*j - 1/3*j**2 + 98/3.
-(j - 7)*(j + 14)/3
Suppose 2*i = -i - 2*r + 19, -4*i + 4*r = -12. Suppose 2*j + 4 = -z + 3*z, -i*z + 3*j = -14. Factor 3*m - m**3 + 3*m**z + 7*m**2 - 10*m**2 - 2*m**3.
3*m*(m - 1)**2*(m + 1)
Solve -6*g**3 + 15*g**4 - 3*g**5 - 21*g**4 + 15*g**4 = 0.
0, 1, 2
Let r = -147 + 150. Find k such that 648 + 95*k**3 - 197*k**3 + 54*k**2 - 324*k + 99*k**r = 0.
6
Factor 1/5*x**2 + 12/5 - 7/5*x.
(x - 4)*(x - 3)/5
Let l(c) = c**4 + c**3 + c**2 + c - 1. Let f(q) = 25*q**4 + 20*q**3 + 20*q - 20. Let p(o) = f(o) - 20*l(o). Factor p(w).
5*w**2*(w - 2)*(w + 2)
Let n(y) be the first derivative of -y**6/12 + 7*y**4/8 - y**3/3 - 3*y**2 + 4*y - 203. Determine x so that n(x) = 0.
-2, 1, 2
Let l(i) be the third derivative of -i**6/6 + 31*i**5/12 + 55*i**4/3 + 50*i**3/3 - 10*i**2 - i. Solve l(f) = 0 for f.
-2, -1/4, 10
Let p(i) be the second derivative of -1/9*i**3 + 0 + 1/30*i**5 + 0*i**4 + 0*i**2 - 16*i. Find y, given that p(y) = 0.
-1, 0, 1
Let m(n) be the first derivative of n**5/36 - n**4/36 - 8*n**2 + 10. Let q(l) be the second derivative of m(l). Suppose q(f) = 0. What is f?
0, 2/5
Let o(l) be the first derivative of -l**4/12 - 4*l + 7. Let n(b) be the first derivative of o(b). Factor n(z).
-z**2
Find d such that 4*d**4 + 71*d**2 - 183*d**2 - 18*d**3 - 4*d**5 + 64*d + 66*d**3 = 0.
-4, 0, 1, 2
Let v(i) be the third derivative of 0 + 1/360*i**6 + 0*i**5 + 0*i + 0*i**3 + 0*i**4 + 2*i**2 + 1/315*i**7 + 1/1008*i**8. Factor v(j).
j**3*(j + 1)**2/3
Let k(g) be the first derivative of 3*g**4/4 - 7*g**3 - 60*g**2 - 132*g + 142. Suppose k(d) = 0. What is d?
-2, 11
Find z, given that -12 + 29/4*z**4 + 18*z**3 + 6*z**2 + 3/4*z**5 - 20*z = 0.
-6, -2, -2/3, 1
Let z = 12927 - 12925. Determine r, given that 0 + 1/7*r**z - 1/7*r = 0.
0, 1
Let d(q) be the third derivative of 0 - 25/24*q**4 + 0*q - 1/3*q**5 - 5/3*q**3 - 1/24*q**6 + 17*q**2. Find h such that d(h) = 0.
-2, -1
Suppose -l**2 + 28 - 13*l + 22 - 89 + 27 = 0. Calculate l.
-12, -1
Let u(s) be the third derivative of -5*s - 6*s**2 - 5/3*s**3 - 25/24*s**4 - 1/24*s**6 + 0 - 1/3*s**5. Factor u(q).
-5*(q + 1)**2*(q + 2)
Let y = -21 - -23. Factor 6*p**y - 12*p**2 + 6 - 4*p + 2*p**3 + p**3 + p.
3*(p - 2)*(p - 1)*(p + 1)
Factor 1616/7*o**2 - 44/7*o**4 + o**5 - 156/7*o**3 - 448*o + 768/7.
(o - 4)**3*(o + 6)*(7*o - 2)/7
Let d be (1 + (-3)/2)/(3/(-24)). Solve 3*v**2 - 4*v**3 + 3*v**3 + d*v**3 = 0 for v.
-1, 0
Let u(s) be the third derivative of s**7/630 - s**6/90 - s**5/36 + 5*s**2 - 3. Factor u(h).
h**2*(h - 5)*(h + 1)/3
Let y(r) = r**2 + 6*r + 5. Let m be y(-6). Suppose 5 = 5*v + 10*k - m*k, 0 = 3*v + 2*k - 6. Factor 1/2 - 1/4*z**3 + 3/4*z**2 - 1/4*z**v + 5/4*z.
-(z - 2)*(z + 1)**3/4
Let b = -13 + 9. Let n(l) = -l**2 - 5*l - 2. Let c be n(b). Factor -2*i - 7*i**3 + 5*i**3 + 4*i**c + i**2 - i**2.
-2*i*(i - 1)**2
Let r be (-80)/(-24)*108/585. Suppose 8/13*f - 4/13*f**3 + 2/13*f**4 - 6/13*f**2 + r = 0. Calculate f.
-1, 2
Factor 8*x**5 - 3*x**4 - 235*x**2 - 18*x - 5*x**5 + 274*x**2 - 21*x**3.
3*x*(x - 2)*(x - 1)**2*(x + 3)
Suppose -21*t = -24*t + 6. Let h(p) be the second derivative of 4*p - 6/5*p**5 - 8*p**t - 2/15*p**6 + 0 - 8*p**3 - 13/3*p**4. Solve h(o) = 0 for o.
-2, -1
Let k be (-4*1)/(8/(-128)). Let z be (k/(-28))/((-6)/7). Factor -z*o + 8/3 + 2*o**3 - 10/3*o**2.
2*(o - 2)*(o + 1)*(3*o - 2)/3
Let b be (-19)/(-19)*4/32*4. Let h(t) be the first derivative of -b*t**4 + 0*t + 0*t**3 + 0*t**2 - 14 + 2/5*t**5. Factor h(w).
2*w**3*(w - 1)
Let d(k) be the third derivative of k**7/840 + k**6/72 + 7*k**3/3 - 25*k**2. Let y(b) be the first derivative of d(b). Factor y(r).
r**2*(r + 5)
Let z(d) be the third derivative of -d**5/150 + 11*d**4/30 + 23*d**3/15 + 170*d**2. Factor z(w).
-2*(w - 23)*(w + 1)/5
Let w(k) be the first derivative of -k**9/432 - k**8/840 - k**3 + 22. Let p(d) be the third derivative of w(d). Find j such that p(j) = 0.
-2/7, 0
Let b = 24 + -22. Factor -6*k - 5*k**3 - 3*k - 15*k**b - 2*k**3 - k**4.
-k*(k + 1)*(k + 3)**2
Suppose -4*z = -z - 9. Suppose -4*t = -z*t. Factor t*n + 2*n + 4*n - 3*n**2 - 3*n.
-3*n*(n - 1)
Let d(f) = -9*f**4 - 6*f**3 + 24*f**2 + 6*f - 27. Let a(c) = 8*c**4 + 7*c**3 - 23*c**2 - 7*c + 25. Let n(z) = -6*a(z) - 5*d(z). Suppose n(b) = 0. Calculate b.
-5, -1, 1
Let y(m) = -5*m**5 - 45*m**4 + 99*m**3 - 55*m**2 - 6. Let r(a) = 5*a**5 + 45*a**4 - 98*a**3 + 55*a**2 + 7. Let d(s) = 6*r(s) + 7*y(s). Factor d(x).
-5*x**2*(x - 1)**2*(x + 11)
Let w = -227 + 232. Let x(u) be the second derivative of 4/3*u**3 + 0 + u**2 - 1/5*u**6 - 5*u + 1/3*u**4 - 2/5*u**w. Suppose x(f) = 0. What is f?
-1, -1/3, 1
Let f = 637/3 - 212. Let o(y) be the third derivative of 0 - 5*y**2 + 0*y - f*y**4 + 1/15*y**5 + 0*y**3. Find v such that o(v) = 0.
0, 2
Let k(s) be the third derivative of -2*s**2 + 0*s + 1/120*s**5 + 0 + 0*s**3 - 1/120*s**6 + 1/24*s**4 - 1/420*s**7. Factor k(c).
-c*(c - 1)*(c + 1)*(c + 2)/2
Let d = -125/21 + 79/7. Let v(q) = 11*q - 53. Let c be v(5). What is z in -3*z - 1/3*z**5 - 2/3 - c*z**4 - d*z**2 - 14/3*z**3 = 0?
-2, -1
Let q(j) be the second derivative of -13*j + 14/3*j**3 + 8/3*j**4 + 3/5*j**5 + 0 + 4*j**2. Find k, given that q(k) = 0.
-1, -2/3
Let l(p) = p**4 + 3*p**3 - 10*p**2 - 13*p - 1. Let n(v) = -v**2 - 2*v - 1. Let r(m) = -3*l(m) + 15*n(m). What is k in r(k) = 0?
-4, -1, 1
Let i(z) be the first derivative of z**5/12 + 5*z**4/24 + 6*z**2 + 4. Let w(p) be the second derivative of i(p). Suppose w(s) = 0. What is s?
-1, 0
Let j(i) be the third derivative of 9*i**4/8 - 4*i**3/3 + 2*i**2. Let g be j(6). Factor -972*u**2 - 16 - 18*u + g*u + 80*u + 1458*u**3.
2*(9*u - 2)**3
Let t = 74 + -71. Let x = -38 + 53. Factor 196*m**4 + 210*m**t + 337/4*m**2 + 1 + x*m.
(4*m + 1)**2*(7*m + 2)**2/4
Suppose 2*y = -3*i + 12, -2*i = -3*i + y + 4. Let k(v) be the first derivative of 0*v - 1/7*v**3 - 4 + 0*v**2 + 3/28*v**i. Determine f, given that k(f) = 0.
0, 1
Let q(f) be the first derivative of -1/2*f**4 + 0*f**2 + 1/3*f**6 + 0*f + 8 + 4/15*f**5 - 4/9*f**3. What is v in q(v) = 0?
-1, -2/3, 0, 1
Let c(o) be the third derivative of -2*o**7/315 + 7*o**6/360 + 3*o**5/10 + 53*o**4/72 + 5*o**3/9 + 103*o**2. Solve c(x) = 0 for x.
-2, -1, -1/4, 5
Let x = 78 - 72. Solve 43*d**3 + 2*d**3 - x*d**4 - 41 - 102*d**2 + 95 + 45*d = 0 for d.
-1/2, 2, 3
Suppose 17 = 5*t + 2*b, -6 = -3*t + b + 2*b. Let q be 1/((-1)/6) + -7 + 15. What is s in 0*s**t + 1/4*s**4 + 0*s + 0 - 1/4*s**q = 0?
-1, 0, 1
Let t(o) = 22*o**5 - 