 14 - l*a**2 + a + 3*a = 0. What is a?
0, 2
Let q(s) be the second derivative of -s**5/170 - 4*s**4/3 - 4757*s**3/51 - 8978*s**2/17 + 402*s. Let q(c) = 0. What is c?
-67, -2
Let m(y) = -y**4 + 2*y**3 + y**2 - 2*y + 1. Let j(o) = 2*o**4 + 14*o**3 - 68*o**2 + 64*o - 5. Let k(l) = -j(l) - 5*m(l). Factor k(h).
3*h*(h - 3)**2*(h - 2)
Factor -o**2 - 16*o**2 + 12*o**3 - 23*o**2 + 45 - 75*o + 68*o**3.
5*(o + 1)*(4*o - 3)**2
What is q in 0 + 8/11*q**2 + 6/11*q + 2/11*q**3 = 0?
-3, -1, 0
Let c = -20 + 20. Let f be 2 + (-1 - (c - 1)). Solve -2*d - 14 - 14*d**f - 10*d + 2 + 11*d**2 = 0 for d.
-2
Let p(k) be the second derivative of -3/2*k**2 - 5/18*k**4 - 20*k - 1/252*k**7 + 1/30*k**6 - 1/20*k**5 + 0 + 13/12*k**3. Solve p(n) = 0 for n.
-2, 1, 3
Let m(l) = -l**2 - l. Let f(r) = 6*r**2 + 18*r. Let g(h) = -h**3 - 6*h**2 + 15*h - 9. Let n be g(-8). Let o(u) = n*f(u) - 9*m(u). Factor o(x).
3*x*(x - 3)
Let u(i) be the first derivative of i**3/6 - 7*i**2/4 - 122. Find y, given that u(y) = 0.
0, 7
Let x(z) = 2*z**4 - 6*z**3 + 7*z**2 - 7*z + 7. Let j(l) = l**4 - 3*l**3 + 3*l**2 - 3*l + 3. Let u(y) = -7*j(y) + 3*x(y). Factor u(t).
-t**3*(t - 3)
Let n(r) be the third derivative of -r**7/490 + r**6/140 + 3*r**5/140 + 15*r**2 + 1. Suppose n(s) = 0. What is s?
-1, 0, 3
Let d(z) be the third derivative of -z**8/1848 + 4*z**7/1155 - z**6/165 - z**5/165 + 5*z**4/132 - 2*z**3/33 + 2*z**2 + 45*z. What is m in d(m) = 0?
-1, 1, 2
Let y(h) be the third derivative of -h**5/120 + h**4 + 25*h**3/3 - 5*h**2 - 2. Factor y(i).
-(i - 50)*(i + 2)/2
Let n(o) be the first derivative of o**5/10 - 5*o**4/8 - o**3 + 8*o**2 + 16*o + 70. Factor n(f).
(f - 4)**2*(f + 1)*(f + 2)/2
Suppose 3*b = -3*k - 414, 183 + 117 = -2*b + 4*k. Let x = b - -144. Factor -8/7 - 2/7*y**x - 8/7*y.
-2*(y + 2)**2/7
Let v be (2*(-5)/2)/(1 - 2). Let c(a) be the first derivative of 1/3*a**2 + 2/15*a**v + 0*a + 2/3*a**3 + 1/2*a**4 + 2. Let c(t) = 0. Calculate t.
-1, 0
Let h(s) be the first derivative of s**5/5 + 3*s**4/4 - s**3/3 - s**2/2 - 3. Let l(z) = -z**4 - z + 1. Let v(b) = -h(b) - 2*l(b). Factor v(c).
(c - 2)*(c - 1)**2*(c + 1)
Let d = -273 - -276. Let c(n) be the first derivative of 2 - 6*n + 2*n**d + 3/2*n**2 - 3/4*n**4. What is h in c(h) = 0?
-1, 1, 2
Let o(z) be the first derivative of -z**4/2 - 28*z**3/3 + z**2 + 28*z - 228. What is q in o(q) = 0?
-14, -1, 1
Let n(a) be the first derivative of a**5/4 + 15*a**4/2 + 115*a**3/12 - 828. Let n(l) = 0. What is l?
-23, -1, 0
Let c(b) be the second derivative of -b**9/16632 - b**8/3080 - b**7/1540 - b**6/1980 + 5*b**3/3 + 12*b. Let t(i) be the second derivative of c(i). Factor t(p).
-2*p**2*(p + 1)**3/11
Find t, given that 9/7*t**4 + 33/7*t**3 - 36/7*t + 18/7*t**2 - 24/7 = 0.
-2, -2/3, 1
Let o be (2/4)/(1/(-2)). Let p(x) = x**3 - x**2 + x - 1. Let d(m) = -31*m**3 - 9*m**2 + 4*m + 6. Let c(v) = o*d(v) - 6*p(v). Find b, given that c(b) = 0.
-1, 0, 2/5
Let o(p) = 5*p**3 + 8*p**2 + 21*p + 6. Let u(z) = z**3 + z**2 + 3*z + 1. Let y(n) = 5*o(n) - 30*u(n). Factor y(g).
-5*g*(g - 3)*(g + 1)
Let z(h) be the third derivative of -h**8/84 + 2*h**6/15 - 2*h**5/15 - h**4/2 + 4*h**3/3 - 12*h**2 - 6. Factor z(a).
-4*(a - 1)**3*(a + 1)*(a + 2)
Find d such that -5*d**3 - 6*d**2 + 5 - 15 + 11 + 5 + 5*d = 0.
-6/5, -1, 1
Suppose -170/9*v**3 + 0 - 20/3*v + 14/9*v**5 - 262/9*v**2 + 46/9*v**4 = 0. Calculate v.
-5, -1, -2/7, 0, 3
Solve 1489 - 736 - 3*a**2 - 777 + 27*a = 0.
1, 8
Factor -1/5*l**4 + 28/5*l - 3/5*l**3 + 6/5*l**2 + 24/5.
-(l - 3)*(l + 2)**3/5
Factor -373*g - 363*g - 12 - 3*g**2 + 724*g.
-3*(g + 2)**2
Let r(a) be the third derivative of 1/270*a**5 + 0*a + 0 + 0*a**3 - 1/54*a**4 + 1/270*a**6 - 1/945*a**7 + 6*a**2. Factor r(o).
-2*o*(o - 2)*(o - 1)*(o + 1)/9
Suppose -5*l + 372 = 3*d, 153 = 2*l + 4*d - 7*d. Let c be (-4 + -1)*(-10)/l. Factor 0 - 1/3*t**3 + c*t**2 + 0*t.
-t**2*(t - 2)/3
Let p(b) be the second derivative of 1/12*b**4 - 32*b - 3/40*b**5 + 0 - 1/2*b**2 + 1/4*b**3. Let p(z) = 0. What is z?
-1, 2/3, 1
Factor -232/11*y**3 + 13688/11*y + 2/11*y**4 + 6962/11 + 6492/11*y**2.
2*(y - 59)**2*(y + 1)**2/11
Let v(z) be the second derivative of -z**4/114 + 4*z**3/57 + 18*z. Factor v(h).
-2*h*(h - 4)/19
Let y(q) be the first derivative of q**4/28 - q**3/2 + 9*q**2/7 - 33*q + 7. Let r(x) be the first derivative of y(x). Factor r(i).
3*(i - 6)*(i - 1)/7
Suppose 30 = 4*l - 2*j, -5*l + 33 = -4*j - 0*j. Determine p, given that 3*p**2 - l*p + 3*p**2 - 11*p**3 + 8*p**3 + 6*p**3 = 0.
-3, 0, 1
Let o = 5 + -3. Suppose 10*g + 3*g = 26. Factor -9*l**3 + 3*l**3 + l + o*l - 6*l - 9*l**g.
-3*l*(l + 1)*(2*l + 1)
Let d(a) = -a**3 - 11*a**2 + 3. Let f(x) = -x**3 + 8*x**2 - 10*x + 10. Let y be f(7). Let h be d(y). Let -2*t**h + 4*t**3 - 2*t**2 + 6*t**2 = 0. What is t?
-2, 0
Factor 49/4*i**3 + 93/4*i - 9/2 - 35*i**2.
(i - 2)*(7*i - 3)**2/4
Find z such that -28 - 2*z**3 + 3 + 2*z + 34*z**2 - 9 = 0.
-1, 1, 17
Suppose 0*p = 2*p + j - 10, -4*j = 2*p - 16. Suppose 0 = 2*h, 0 = -2*b + 4*b + h. Determine l so that -6*l**2 + 3*l + b*l**2 + p*l**2 + 3*l - 4 = 0.
1, 2
Let u(n) = -n**3 - 13*n**2 - 20*n + 22. Let k be u(-11). Suppose 2*s**2 + s**5 + 3 + 0*s**2 - 5*s**4 - 7*s + k*s**3 + 10*s**3 - 4*s**3 = 0. What is s?
-1, 1, 3
Let i(u) be the second derivative of -8*u - 2/3*u**3 + 12*u**2 - 1/3*u**4 + 0. Factor i(r).
-4*(r - 2)*(r + 3)
Let o(u) be the second derivative of u**5/140 + u**4/21 + 2*u**3/21 + u - 57. Factor o(m).
m*(m + 2)**2/7
Let j(l) be the first derivative of -7*l**5/20 + 19*l**4/16 + l**3/2 + 13. Find w such that j(w) = 0.
-2/7, 0, 3
Let z(c) be the third derivative of c**4/12 + 2*c**3/3 - 8*c**2. Let m be z(0). Factor 2*w**m + 0 + 0 + 4*w**3 + 2*w**2.
2*w**2*(w + 1)**2
Suppose 0 = -3*o + 2*g - 45, -5*o - 32 - 41 = -4*g. Let s = o - -19. Solve -2/7*h**5 - 6/7*h**4 + 0*h + 0 - 2/7*h**s - 6/7*h**3 = 0 for h.
-1, 0
Let 20/9 + 10/9*j**2 + 6*j = 0. Calculate j.
-5, -2/5
Find d such that 63*d**3 - 3/2*d**4 + 0 + 0*d + 129/2*d**2 = 0.
-1, 0, 43
Let s = -19757/63 - -2834/9. Find l such that 3/7*l**2 + s*l**3 + 0*l + 3/7*l**5 + 0 + 9/7*l**4 = 0.
-1, 0
Let j be 4 - 3 - (2 - (-2 - -3)). Let z be 5*(2/5 - j). Find h, given that 0 + 0*h**z - 4/5*h + 4/5*h**3 = 0.
-1, 0, 1
Let d = -36/487 + 20848/255675. Let u(n) be the third derivative of -3/50*n**5 - d*n**7 + 0 - 11/300*n**6 + 0*n + 7*n**2 + 1/15*n**3 - 1/60*n**4. Factor u(j).
-2*(j + 1)**3*(4*j - 1)/5
Let j(k) be the third derivative of 6*k**2 + 0 + 0*k + 0*k**5 + 0*k**3 + 1/6*k**4 - 1/30*k**6. Factor j(b).
-4*b*(b - 1)*(b + 1)
Let f = -273 - -276. Let g(i) be the third derivative of 1/480*i**6 + 0*i**4 + 0 + 1/840*i**7 - 5*i**2 + 0*i**5 + 0*i**f + 0*i. Factor g(r).
r**3*(r + 1)/4
Let 112/3*j**2 + 4*j**3 + 32/3 + 44*j = 0. What is j?
-8, -1, -1/3
Let a be 42/28*(168/(-45) - -4). Let z be (1/(-3))/(10/(-12)). Find i, given that -z*i**2 - a + 4/5*i = 0.
1
Let c be -7*1/(-28) - 28/(-16). Let i be -1 + 0 - 2 - -3. Solve i*s + 0 + 0*s**c + 1/2*s**4 + 1/2*s**3 = 0.
-1, 0
Let w = -126 + 126. Let c(t) be the second derivative of 6*t + 1/10*t**5 - 1/15*t**4 + 0 + 1/105*t**7 + w*t**3 - 4/75*t**6 + 0*t**2. Factor c(b).
2*b**2*(b - 2)*(b - 1)**2/5
Let s(d) be the first derivative of 4*d**3/3 + 34*d**2 - 95. Factor s(f).
4*f*(f + 17)
Let k be 9 + ((-66)/(-693) - 149/21). Factor -2/3*i**4 + 2/3*i**k + 0*i**3 + 0*i + 0.
-2*i**2*(i - 1)*(i + 1)/3
Let k(c) be the second derivative of c**6/60 - 5*c**5/8 - 13*c**4/12 + 73*c. Determine a, given that k(a) = 0.
-1, 0, 26
Let h = -256 + 256. Let j(z) be the first derivative of 0*z**2 - 4 + h*z**3 + 2/5*z**5 + 1/8*z**4 + 0*z. What is p in j(p) = 0?
-1/4, 0
Let g(w) be the third derivative of w**6/720 - w**5/240 - 4*w**3/3 - 11*w**2. Let f(k) be the first derivative of g(k). Let f(i) = 0. What is i?
0, 1
Suppose 0*b + b - 3*h - 11 = 0, -19 = -5*b + 3*h. Suppose -8 + b = -5*c - 3*g, 9 = -3*g. Suppose 1/5*q + 0 - 1/5*q**4 - 3/5*q**2 + 3/5*q**c = 0. Calculate q.
0, 1
Factor -6*q + 12 + 3/4*q**2.
3*(q - 4)**2/4
Solve -116/7*d - 1682/7 - 2/7*d**2 = 0.
-29
Let l(z) = 2*z**2 + 8*z - 7. Let o be l(-5). Factor -5*h**2 - 2*h**3 + 2 + 6*h**3 - 3*h**o - 5 + 7*h.
(h - 3)*(h - 1)**2
Let i(m) = -4*m**2 - 14*m - 33. Let d(s) = 6*s**2 + 28*s + 67. Let z(p) = -3*d(p) - 5*i(p). Factor z(u).
2*(u - 9)*(u + 2)
Suppose 29 - 15 = 36*h - 58. Factor 