15*i + 2/15*i**3 + 0*i**2 + 0 = 0 for i.
-1, 0, 1
Let x = 63 + -61. What is l in -x*l**2 + 14/3*l**4 - 32/3*l - 8/3 + 32/3*l**3 = 0?
-2, -1, -2/7, 1
Let y(m) be the first derivative of -m**3 + 3*m + 5. Suppose y(v) = 0. Calculate v.
-1, 1
Suppose 4*r + 8 = -4*s + 7*r, -12 = -3*r. Let c be (8/(-56))/(s/(-2)). Find x, given that 2/7*x**4 + 2/7*x**3 - c*x**2 - 2/7*x + 0 = 0.
-1, 0, 1
Let d(a) be the third derivative of -7/480*a**6 - 1/80*a**5 - 1/12*a**3 + 0*a + 7/96*a**4 + 1/168*a**7 + 0 + 2*a**2. What is m in d(m) = 0?
-1, 2/5, 1
Let n(s) be the third derivative of s**7/35 - 2*s**5/15 - 4*s**3/3 - 3*s**2. Let v(m) = -m**4 + m**2 + 1. Let c(t) = n(t) + 8*v(t). Find y such that c(y) = 0.
0
Let t(a) be the first derivative of -1/21*a**4 + 0*a**2 + 2 + 0*a + a**3 - 1/1260*a**6 + 1/105*a**5. Let s(q) be the third derivative of t(q). Factor s(n).
-2*(n - 2)**2/7
Let t(n) = n + 12. Let l be t(-10). Solve d**4 - 3*d + 2*d**4 - 15*d**l - 7*d + d - 3*d**3 = 0 for d.
-1, 0, 3
Let r(m) be the first derivative of m**4/8 - m**3/3 - m**2/4 + m + 1. Let r(b) = 0. Calculate b.
-1, 1, 2
Let v(z) = z**2 + 3*z - 4. Let m = 7 + -11. Let s be v(m). Factor 1/3*f**2 + s*f + 0.
f**2/3
Let y be (-4)/(1*2/(-3)). Suppose 4*n - 3*w = -n + y, -12 = -4*w. Let -2*v**3 + v**2 - 1 + 3*v**n + 0*v**3 - v = 0. Calculate v.
-1, 1
Factor 2*p + p**5 + 32*p**5 - 67*p**4 + 66*p**3 - 20*p**2 - p**5 - 13*p**4.
2*p*(p - 1)**2*(4*p - 1)**2
Let o(d) be the second derivative of 5*d**7/84 + 11*d**6/60 + 39*d**5/200 + 3*d**4/40 - 15*d. Factor o(c).
c**2*(c + 1)*(5*c + 3)**2/10
Let g(w) be the first derivative of -3*w**5/10 - 3*w**4/16 + 3*w**3/2 - 3*w**2/8 - 3*w/2 - 10. Determine q, given that g(q) = 0.
-2, -1/2, 1
Let i be -4 + 6 + (3 - 0). Let o(n) be the first derivative of -1 + 1/15*n**i - 1/3*n - 1/6*n**4 + 0*n**3 + 1/3*n**2. Find c such that o(c) = 0.
-1, 1
Let b(w) be the third derivative of w**7/10080 + w**6/2880 - w**5/240 - w**4/12 - 6*w**2. Let r(v) be the second derivative of b(v). Factor r(p).
(p - 1)*(p + 2)/4
Let v(h) = h - 3. Let y be v(6). Let l be (32/12 - y) + 2. Solve l*z - 2/3 - z**2 = 0.
2/3, 1
Let k be (-2)/5 + 85/25. Find f, given that -4*f**4 - 2*f**4 - 6*f**5 + 9*f**5 + k*f**3 = 0.
0, 1
Suppose -p = -3*p + 10. Let y = 11 - 6. Factor -4 + 7*m**2 - 3*m**4 + y*m**p + 6*m**3 - 8*m**5 - m**2 - 3*m + 1.
-3*(m - 1)**2*(m + 1)**3
Factor -5/2*k + 1/2*k**2 + 0.
k*(k - 5)/2
Let x(g) = -g**2 - 1. Let s(i) = -i**2 + 4*i - 3. Let q(w) = -s(w) + 3*x(w). Factor q(c).
-2*c*(c + 2)
Let x(h) = h**2 + h + 1. Let b(j) = -3*j**2 + 33*j - 6. Let f(i) = b(i) + 6*x(i). Solve f(s) = 0.
-13, 0
Let h(f) = 3*f**3 + 4*f**2 + 20*f + 32. Let d(b) = 2*b**3 + 4*b**2 + 22*b + 32. Let y(j) = -4*d(j) + 3*h(j). What is w in y(w) = 0?
-2, 8
Let g(v) be the third derivative of v**6/30 + 8*v**5/15 + 13*v**4/6 + 4*v**3 - 20*v**2. Factor g(y).
4*(y + 1)**2*(y + 6)
Let i = 90 - 1892/21. Let l = 29/84 + i. What is k in -1/4*k - 1/4*k**2 + l*k**3 + 1/4 = 0?
-1, 1
Let j = -2 - -11. Let c = 13 - j. Solve 5*k**2 + 5*k**2 - 8*k**3 + k - c*k**2 + k = 0 for k.
-1/4, 0, 1
Let c(s) be the third derivative of 2*s**7/315 + s**6/45 - s**5/45 - s**4/9 - 7*s**2. Factor c(p).
4*p*(p - 1)*(p + 1)*(p + 2)/3
Let w = 2 - 1. Let n = w - -1. Factor -j**2 - 3 + 0*j**n - 1 + 4*j.
-(j - 2)**2
Let b(n) be the first derivative of 18*n**5/5 - 8*n**4 - 26*n**3/3 + 16*n**2 + 8*n - 36. Suppose b(t) = 0. Calculate t.
-1, -2/9, 1, 2
Suppose 2*r = 4*r + 18. Let u = -7 - r. Factor -4/3 - 2/3*m**u + 2*m.
-2*(m - 2)*(m - 1)/3
Let y(f) be the third derivative of f**5/120 + f**4/12 + f**3/3 + 12*f**2. Solve y(n) = 0 for n.
-2
Let i(v) be the third derivative of -v**8/6720 - v**7/1120 + v**5/120 + v**3/3 + 2*v**2. Let s(b) be the first derivative of i(b). Solve s(p) = 0 for p.
-2, 0, 1
Factor 0 - 2/3*h + 1/3*h**2 + 1/3*h**3.
h*(h - 1)*(h + 2)/3
Suppose 6*z - 2902 = -2890. Factor -2/3 + 0*a**z - 1/3*a**3 + a.
-(a - 1)**2*(a + 2)/3
Let q(p) be the second derivative of p**5/4 - 25*p**4/6 - 5*p**3/6 + 25*p**2 - 18*p. Solve q(g) = 0 for g.
-1, 1, 10
Let v(g) be the third derivative of 1/105*g**5 - 5*g**2 + 0 + 1/84*g**6 - 5/84*g**4 - 2/21*g**3 + 0*g. Suppose v(i) = 0. Calculate i.
-1, -2/5, 1
Let x(h) be the first derivative of -1/3*h**3 + 0*h + 0*h**2 + 1/4*h**4 - 6. Suppose x(q) = 0. Calculate q.
0, 1
Let v = 5525/12 - 460. Let c(y) be the third derivative of -v*y**6 + 0 - 11/3*y**4 + 0*y + 7/3*y**5 - 3*y**2 + 8/3*y**3. Factor c(m).
-2*(m - 2)*(5*m - 2)**2
Factor -3/4*g**3 - 1/4*g**4 - 1/4*g + 0 - 3/4*g**2.
-g*(g + 1)**3/4
Factor -a**2 - 11*a + 4*a + 5*a.
-a*(a + 2)
Factor 2*u**2 - 4*u - 387 + 4*u + 389 + 4*u.
2*(u + 1)**2
Factor 0*c - c**2 + 4*c + 1 - 5*c**3 - 4*c**4 + c + 4*c**2.
-(c - 1)*(c + 1)**2*(4*c + 1)
Let r(w) = w**3 + 5*w**2 - 7*w - 4. Let v be r(-6). Let j be ((-2)/9)/(13/(-78)). Suppose -j + v*c + 10/3*c**2 = 0. What is c?
-1, 2/5
Let d be ((-140)/(-770))/((-1)/(-22)). Let v - 1/2 + 0*v**2 + 1/2*v**d - v**3 = 0. What is v?
-1, 1
Factor -2/11 - 4/11*z - 2/11*z**2.
-2*(z + 1)**2/11
Let o(q) be the first derivative of -2*q - 4 - 1/2*q**3 - 3/2*q**2 - 1/16*q**4. What is u in o(u) = 0?
-2
Factor 5*h + 5/3*h**2 - 5*h**3 + 5/3*h**4 - 10/3.
5*(h - 2)*(h - 1)**2*(h + 1)/3
Let t(x) be the first derivative of 3 + 1/2*x**2 - 2/3*x**3 + x. Suppose t(j) = 0. What is j?
-1/2, 1
Let w(j) = -j. Let t(p) = p**2 - 4*p. Let h(m) = -t(m) + 5*w(m). Suppose h(i) = 0. Calculate i.
-1, 0
Let a(q) be the first derivative of 1/28*q**4 + 24/7*q**2 + 64/7*q + 6 + 4/7*q**3. Find v such that a(v) = 0.
-4
Let t(c) = -2*c + 3 - 1 - 2. Let h be t(-1). Determine d so that 1/2 + 0*d - 1/2*d**h = 0.
-1, 1
Let m(c) be the second derivative of -c**7/98 + 2*c**6/35 - 9*c**5/70 + c**4/7 - c**3/14 + 2*c. Find u such that m(u) = 0.
0, 1
Let j = 29 - 25. Let x(a) be the first derivative of -2 - 4/3*a**3 + 0*a**j + 2/5*a**5 + 2*a + 0*a**2. Suppose x(o) = 0. Calculate o.
-1, 1
Let d(t) be the third derivative of 5*t**8/84 - 16*t**7/105 + t**6/30 + 2*t**5/15 - 8*t**2. What is l in d(l) = 0?
-2/5, 0, 1
Let h be 2*1/(-4)*-2. Let i be h/4 - (-115)/20. Find b such that 19*b**4 - 2*b + 20*b**3 + 4*b**5 + 0*b**5 + 2*b**5 - 1 + i*b**2 = 0.
-1, -1/2, 1/3
Suppose 6 + 4 = 5*z. Let r(u) = -u. Let i(k) = -2*k**2 - 5*k + 2. Let w(c) = z*i(c) - 4*r(c). Determine d, given that w(d) = 0.
-2, 1/2
Let t(h) be the first derivative of -5*h**4/4 + 4*h**3/3 - 2*h**2/5 + 6. Let t(d) = 0. Calculate d.
0, 2/5
Suppose 3*a - 9 = 2*l, 2*l - l - a = -4. Let g be ((-10)/12)/5*l. Let -g*k**3 + 3/4*k + 1/4 + 1/2*k**2 - 1/4*k**5 - 3/4*k**4 = 0. Calculate k.
-1, 1
Let f(p) be the second derivative of p**7/840 - p**6/240 + p**4/3 + 2*p. Let k(j) be the third derivative of f(j). Factor k(o).
3*o*(o - 1)
Let w(j) be the second derivative of -j**8/336 - j**7/30 - 3*j**6/20 - j**5/3 - j**4/3 - j**2 - 4*j. Let p(o) be the first derivative of w(o). Factor p(a).
-a*(a + 1)*(a + 2)**3
Find k, given that -1260*k + 3452*k**5 - 9280*k**2 - 128 - 468*k - 24800*k**3 - 33000*k**4 - 20952*k**5 = 0.
-2/5, -2/7
Let t(f) be the first derivative of 2*f**5/85 - 4*f**3/51 + 2*f/17 + 23. Factor t(y).
2*(y - 1)**2*(y + 1)**2/17
Let p(f) = f**2 - 6*f - 7. Let l be p(7). Factor -20*t**4 + 18*t**4 + l*t + t**3 - t + 2*t**2.
-t*(t - 1)*(t + 1)*(2*t - 1)
Let b = 12 - 10. Let i(m) be the third derivative of 0*m**3 + 1/150*m**5 - m**b + 1/300*m**6 - 1/525*m**7 + 0*m + 0 - 1/60*m**4. Factor i(a).
-2*a*(a - 1)**2*(a + 1)/5
Solve 2/5*s - 2/5*s**2 + 4/5*s**5 + 0 - 6/5*s**3 + 2/5*s**4 = 0.
-1, 0, 1/2, 1
Let h = 1103/14 + -157/2. Find o such that 4/7*o - h - 2/7*o**2 = 0.
1
Find d such that -3 - 4 + 9*d**2 + 11 + 12 + 24*d + d**3 = 0.
-4, -1
Factor -28*h**2 + 48*h - 1 - 9 + 26.
-4*(h - 2)*(7*h + 2)
Let y(v) be the second derivative of v**5/10 - v**4/12 - 4*v**3/3 + 2*v**2 + 14*v. Determine m, given that y(m) = 0.
-2, 1/2, 2
Let f(c) = -12*c**3 - 8*c**2 + 16*c. Let k(n) = -n**3 + 3*n**2 + 3*n - 2*n - 3*n**2. Let i(j) = -f(j) + 16*k(j). Solve i(s) = 0.
0, 2
Let b be ((-2)/44)/((18/(-24))/3). Let 2/11 - 2/11*p + 2/11*p**3 - b*p**2 = 0. Calculate p.
-1, 1
Let v(b) be the third derivative of 1/30*b**4 + 0 + 1/75*b**5 + 0*b + 2*b**2 + 0*b**3. Factor v(c).
4*c*(c + 1)/5
Let d be 10/4 + (-1)/2. Factor 0 - v**d - 2 - 2*v + 1.
-(v + 1)**2
Let u be (12/(-10))/(6