0*s**5 + 0 + 0*s**3 + 4*s**2. What is c in o(c) = 0?
-1, 0, 1
Suppose -14*d**5 - 54*d**4 - 171*d**3 + 465*d**2 - 39*d**4 - 36*d**4 - d**5 - 150*d = 0. Calculate d.
-5, 0, 2/5, 1
Let t(s) be the second derivative of 9*s**7/35 - 9*s**6/25 - 9*s**5/25 + s**4/3 + 7*s**3/15 + s**2/5 - 6*s. Factor t(p).
2*(p - 1)**2*(3*p + 1)**3/5
Let w = -2 + 6. Suppose 2*p - w = 4. Factor -3*r**2 - 2*r + p*r + 2*r**2 - 1.
-(r - 1)**2
Let y(d) be the second derivative of 2*d + 1/2*d**3 + 0*d**2 + 0 + 0*d**6 - 3/10*d**5 + 1/14*d**7 + 0*d**4. Find z, given that y(z) = 0.
-1, 0, 1
Let a(h) be the third derivative of h**7/1155 + h**6/165 + h**5/55 + h**4/33 + h**3/33 - 2*h**2. Factor a(f).
2*(f + 1)**4/11
Let r(x) be the first derivative of 7*x**4 - 8*x**3 - 2*x**2 - 17. Factor r(d).
4*d*(d - 1)*(7*d + 1)
Let m = 47 + -40. Let y(g) be the second derivative of 0*g**2 + 0*g**3 + 1/42*g**4 + 1/49*g**m - 1/21*g**6 - g + 1/70*g**5 + 0. Solve y(t) = 0 for t.
-1/3, 0, 1
Let x(p) be the third derivative of 5*p**2 - 1/280*p**6 + 0*p + 1/1470*p**7 + 0*p**5 + 0 + 1/42*p**4 + 0*p**3. Factor x(w).
w*(w - 2)**2*(w + 1)/7
Suppose 0 = 5*d - 10*d. Let v(h) = 3*h - 1. Let m be v(2). Factor 15*n**4 + 0*n + 8*n**3 + 25/3*n**m + d + 4/3*n**2.
n**2*(n + 1)*(5*n + 2)**2/3
Let x(b) = 3*b. Let a be x(-2). Let v = a + 6. Factor v*m - 1/4 + 1/4*m**2.
(m - 1)*(m + 1)/4
Let b(v) = v**3 + 3*v**2 + v + 1. Let j(q) = 3*q**3 + 7*q**2 + 2*q + 3. Let w(o) = 5*b(o) - 2*j(o). Determine y so that w(y) = 0.
-1, 1
Let v(w) be the third derivative of -w**5/390 + w**4/78 + 4*w**2. Factor v(s).
-2*s*(s - 2)/13
Let a = 1604/3 - 534. Find n such that 0*n - 4/3*n**3 - a*n**5 + 1/3*n**2 + 0 + 5/3*n**4 = 0.
0, 1/2, 1
Let y(i) be the first derivative of -3/8*i**2 - 1/4*i**3 - 3 + 0*i. Factor y(o).
-3*o*(o + 1)/4
Let j(s) be the second derivative of 2*s**7/147 - 2*s**6/105 - s**5/35 + s**4/21 - 19*s. Factor j(d).
4*d**2*(d - 1)**2*(d + 1)/7
Let f be 1/((-2)/(-20)*2). Solve 0*v**5 - v**f + v**4 + v**4 - v**3 = 0.
0, 1
Let q = -18 + 24. Let y(n) be the first derivative of 0*n - 1 - n**4 - 8/9*n**3 - 1/3*n**2 - 8/15*n**5 - 1/9*n**q. Factor y(s).
-2*s*(s + 1)**4/3
Let u be -4 - -2 - (2 + -8). Factor 4*d**4 + 2*d**u - 2*d**2 + 7*d - 4*d - 4*d**2 - 3*d**5.
-3*d*(d - 1)**3*(d + 1)
Let s(b) be the third derivative of -b**7/420 + b**6/60 - b**5/24 + b**4/24 + 3*b**2. Factor s(z).
-z*(z - 2)*(z - 1)**2/2
Let w(v) = 4*v**2 - v - 3. Let l be w(-3). Let p = l - 34. Determine f, given that -6/5*f + 4/5 + 2/5*f**p = 0.
1, 2
Factor 4*f**5 + 9*f**3 + 0*f**5 - 8*f**4 - 5*f**3.
4*f**3*(f - 1)**2
Let f(n) = 5*n**2 - 3*n - 22. Let k(m) = 2*m**2 - 2*m - 10. Let g(p) = 3*f(p) - 7*k(p). Factor g(q).
(q + 1)*(q + 4)
Let 4/3 - 2/3*h**2 + 2/3*h = 0. What is h?
-1, 2
Suppose -5*t = -0*t. Let s(f) be the first derivative of t*f**2 + 1 - 2/5*f**5 + 4/27*f**6 + 0*f - 2/27*f**3 + 1/3*f**4. Suppose s(q) = 0. Calculate q.
0, 1/4, 1
Suppose -5*g - 63 = l + 31, 110 = -5*g - 5*l. Let z = -13 - g. Solve -5*n**2 + 0 - n + 5*n**4 - 21/4*n**3 + 25/4*n**z = 0.
-1, -2/5, 0, 1
Suppose b = -6*b. Find c such that 0 + b*c + 1/3*c**4 + 1/3*c**3 - 2/3*c**2 = 0.
-2, 0, 1
Let r be (-95)/(-20) + (-2)/(-8). Suppose -1 = -3*i + r. Suppose -2*o**i - o + 5*o + 8*o**2 = 0. Calculate o.
-2/3, 0
Let i be 6*(1 + (-1)/3). Let f(n) = -n**2 - 11*n - 15. Let l be f(-9). Determine r, given that 5*r**2 - r**i - 6*r**2 - 5*r**3 + l*r**3 = 0.
-1, 0
Let a(d) be the first derivative of -d**2 - 9 + 2*d + 1/10*d**5 - 1/2*d**3 + 1/4*d**4. Suppose a(p) = 0. Calculate p.
-2, 1
Let b(k) be the first derivative of 2/9*k**3 - 2/3*k + 5 - 1/6*k**2 + 1/12*k**4. Factor b(u).
(u - 1)*(u + 1)*(u + 2)/3
Let w be 3 + 0 + 2 - 0. Let h = -1 + w. Solve 2*i**4 + 0*i**3 + 2*i**3 - i**3 - 3*i**h = 0 for i.
0, 1
Determine w, given that 9/2*w**3 - 11/2*w**2 + w + 0 = 0.
0, 2/9, 1
Let f(i) be the second derivative of i**7/2520 - i**6/360 + i**4/6 - 4*i. Let h(y) be the third derivative of f(y). What is o in h(o) = 0?
0, 2
Let s(a) be the third derivative of a**6/1020 + a**5/255 - a**4/204 - 2*a**3/51 + 7*a**2. Factor s(x).
2*(x - 1)*(x + 1)*(x + 2)/17
Let t(a) = 6*a**3 - 4*a**2 - a - 6. Let b(p) = p**3 - p**2 - 1. Let q(r) = 5*b(r) - t(r). Determine j, given that q(j) = 0.
-1, 1
Determine p, given that p**3 + 3*p**3 - 24*p**2 - 7*p**3 - 48*p = 0.
-4, 0
Let d(p) be the first derivative of 2*p**5/55 - p**4/11 - 2*p**3/33 + 2*p**2/11 - 10. Let d(v) = 0. Calculate v.
-1, 0, 1, 2
Suppose 1 + 2 = -3*w. Let d be (4/(-3 - w))/(-3). Determine u, given that 2/3*u**5 - d*u**4 - 4/3*u**3 - 2/3 + 2/3*u + 4/3*u**2 = 0.
-1, 1
Let a = -302/9 + 34. Factor -a + 2/9*z + 2/9*z**2.
2*(z - 1)*(z + 2)/9
Let d(b) be the second derivative of 1/21*b**3 + 0 + 2/105*b**6 - b + 0*b**2 + 2/21*b**4 + 1/14*b**5. Factor d(s).
2*s*(s + 1)**2*(2*s + 1)/7
Suppose 8/7 - 6/7*j**2 + 40/7*j - 10/7*j**4 - 32/7*j**3 = 0. Calculate j.
-2, -1/5, 1
Let c(l) be the first derivative of 3*l**5/5 - 5*l**3 + 12*l + 72. Solve c(q) = 0 for q.
-2, -1, 1, 2
Factor -5*x + 57*x**2 + 10*x - 52*x**2.
5*x*(x + 1)
Let h(r) = r**5 + 5*r**4 + r**3 - 3*r**2 - 3*r. Suppose -4*g = -2*g - 12. Let f(b) = b**4 - b**2 - b. Let y(s) = g*f(s) - 2*h(s). Find x, given that y(x) = 0.
-1, 0
Let t(d) be the second derivative of 0*d**3 + 0 - 6*d + 1/3*d**4 + 0*d**2 - 1/10*d**5. What is h in t(h) = 0?
0, 2
Let 0 + 2/9*b**3 + 0*b**2 - 2/9*b = 0. What is b?
-1, 0, 1
Suppose 0 = k - 2*k - 0*k. Let z(h) be the third derivative of 1/60*h**5 + 0*h**3 - 1/210*h**7 - 3*h**2 + k*h**6 + 0*h**4 + 0*h + 0. What is x in z(x) = 0?
-1, 0, 1
Let v(i) be the second derivative of -1/6*i**3 - 1/360*i**6 - 1/30*i**5 + 0 + 0*i**2 - 1/6*i**4 - 2*i. Let u(c) be the second derivative of v(c). Factor u(g).
-(g + 2)**2
Suppose 2*r - 2*a - 2*a = 0, 2*r + 4*a = 8. Let b(o) be the first derivative of -2/3*o + 2/3*o**r - 2/9*o**3 - 3. Determine d so that b(d) = 0.
1
Find g, given that -6*g**4 - g + 22*g**4 + 4*g**3 - 11*g**2 - 3*g - 5*g**2 = 0.
-1, -1/4, 0, 1
Let t = -87 - -91. Let y(m) be the first derivative of 4/21*m**3 + 2 - 6/35*m**5 + 2/7*m**t - 4/7*m**2 + 2/7*m. Suppose y(j) = 0. What is j?
-1, 1/3, 1
Let b(t) be the first derivative of -2 + 0*t**3 + 1/4*t**4 + 0*t**5 + 0*t**2 - 1/6*t**6 + 0*t. Let b(j) = 0. What is j?
-1, 0, 1
Let o(f) = 38*f**2 - 15*f - 6. Let a(m) = -13*m**2 + 7. Let g(i) = -13*i**2 - i + 8. Let l(r) = -6*a(r) + 5*g(r). Let v(h) = 17*l(h) - 6*o(h). Factor v(c).
-(c - 1)*(7*c + 2)
Let f = 77/120 + 1/40. Factor -f*d**2 - 8/3 + 8/3*d.
-2*(d - 2)**2/3
What is a in 0 + 0*a + 1/4*a**4 - 1/4*a**2 - 1/4*a**3 + 1/4*a**5 = 0?
-1, 0, 1
Let d(f) = 2*f**3 - 11*f**2 + 5*f + 5. Let w be d(5). Let n(q) be the second derivative of -8/21*q**3 + 0 + 9/70*q**w + 1/14*q**4 - 4/7*q**2 - q. Factor n(g).
2*(g - 1)*(3*g + 2)**2/7
Let g(q) = -7*q + 0*q**3 - 8*q**2 - 2*q**3 + 2 + q**3. Let b be g(-7). Solve 2*s**3 - 3*s**b - s**3 + 2*s**2 = 0.
0, 1
Let m be 16/40*(0 + 10). Determine k so that -m*k**2 - k - k + 2*k**2 = 0.
-1, 0
Suppose -c - i = 2, 3*i - i + 10 = 0. Factor -4*q**c + q + 1 + 1 - 3*q**3 - 6*q**2 - 2*q**4.
-(q + 1)**2*(q + 2)*(2*q - 1)
Suppose 0 = h + 5*v + 15, -3*v = -4*h + 10 - 1. Let o be (h + 2/(-1))/(-3). Factor -4/3*s**3 + 4/3*s + o*s**4 + 0*s**2 - 2/3.
2*(s - 1)**3*(s + 1)/3
Let m(j) = j**3 + 2*j**2 - 2*j - 2. Let i = 9 + -11. Let w be m(i). Factor 1/2*u + 0 + 3/2*u**w.
u*(3*u + 1)/2
Suppose 8*j = 2*j + 24. Let i(n) be the third derivative of 1/12*n**j - 2*n**2 + 0*n + 1/300*n**6 - 2/75*n**5 + 0 - 2/15*n**3. Solve i(w) = 0 for w.
1, 2
Let i = 103 - 101. Find t, given that 1/2*t**i + 0*t - 1/2*t**5 - 1/2*t**4 + 0 + 1/2*t**3 = 0.
-1, 0, 1
Suppose 21 = 9*a - 2*a. Let d be 1*(1 + 1/(-2)). Factor -d*i**a - 1/2*i - i**2 + 0.
-i*(i + 1)**2/2
Suppose 4*g - w - 88 = 23, -4*g - 4*w = -116. Let h = 40 - g. What is a in -7*a**5 + 4*a**3 + 3*a - 3 - h*a**4 + 14*a**2 + 1 + 0*a**3 = 0?
-1, 2/7, 1
Suppose -u = -4*u + j + 1, 5*u - j - 5 = 0. Suppose -u*c + 3*c + 2*g = 3, -5*c + g = -26. Let 4*f**5 + 3*f**3 - 3*f**c - 2*f**4 - 2*f**3 = 0. What is f?
0, 1
Let v(k) = 2*k - 9. Suppose -6 = 4*n - 5*n. Let g be v(n). Determine w, given that 0*w + 0 + 0*w**2 - 1/3*w**4 + 1/3*w**5 + 0*w**g = 0.
0, 1
Let w be 2/(-3 - -5) - -1. Suppose 5*m - 4 = 16. Solve -k**3 + w*k**m - k**3 - 2*k**2 + 0*k**2 + 2*k = 0 for k.
-1, 0,