5 + 0*s**3 - 1/540*s**6. Suppose q(o) = 0. What is o?
-1, 0, 1
Let h = 1 + -1. Let p = -231 + 2081/9. Suppose 2/9*u**2 + h*u - p = 0. Calculate u.
-1, 1
Suppose -4*b = 19 - 83. Let u be 22/24 + (-4)/b. Factor 4/3*p + u*p**2 + 2/3.
2*(p + 1)**2/3
Suppose 2*y = -3 + 5. Let w(v) be the first derivative of -2/9*v**3 - 1/6*v**4 + 0*v + y + 0*v**2. Find l, given that w(l) = 0.
-1, 0
Let q(v) be the first derivative of 2*v**5/15 - 2*v**3/3 - 2*v**2/3 + 9. Factor q(h).
2*h*(h - 2)*(h + 1)**2/3
Let l be 12/80*144/6. Find t such that -l*t**5 - 4/5*t**2 + 0*t**4 + 0 + 14/5*t**3 + 0*t = 0.
-1, 0, 1/3, 2/3
Factor -18/11*i**2 - 2/11 + 12/11*i.
-2*(3*i - 1)**2/11
Suppose 2*c + 2*d - 18 = 0, -3*c + 0*d = -4*d - 13. Find k, given that 34*k**2 + k**3 + c*k**3 - 7*k + 47*k + 0*k**2 + 8 = 0.
-2, -1/4
Let g(k) be the third derivative of -k**5/140 + 3*k**4/56 - k**3/7 + 2*k**2. Factor g(u).
-3*(u - 2)*(u - 1)/7
Let k(m) = -3*m**2 - 6*m - 3 - 3*m**2 - m**2. Let o(j) = -j - 15*j**2 + 20 - 11*j - 25. Let u(i) = -13*k(i) + 6*o(i). Factor u(l).
(l + 3)**2
Let l(w) be the third derivative of 0*w**3 + 0 + 0*w + 1/24*w**4 + 3*w**2 + 0*w**5 - 1/120*w**6. Factor l(b).
-b*(b - 1)*(b + 1)
Let q(s) be the third derivative of -3*s**2 + 0*s + 1/48*s**4 - 1/120*s**5 + 0 + 0*s**3. Factor q(x).
-x*(x - 1)/2
Find q such that 3*q**3 - 21*q + 6*q**2 + 9 + 0 + 3 = 0.
-4, 1
Solve -5/4*l**2 - 3/2 - 17/4*l = 0.
-3, -2/5
Let t(w) be the first derivative of 10 + 5*w**3 + 9/2*w**2 - 6*w. Factor t(y).
3*(y + 1)*(5*y - 2)
Let v(p) be the second derivative of -p**8/1512 + p**7/945 + p**6/540 - p**5/270 - 3*p**2/2 + 2*p. Let m(z) be the first derivative of v(z). Factor m(w).
-2*w**2*(w - 1)**2*(w + 1)/9
Let r(i) be the second derivative of i**6/360 - i**4/24 - i**3/9 + 3*i**2 + 6*i. Let n(f) be the first derivative of r(f). Factor n(o).
(o - 2)*(o + 1)**2/3
Let m(i) be the third derivative of -i**10/75600 + i**9/15120 - i**8/10080 - i**5/15 + 4*i**2. Let g(t) be the third derivative of m(t). Factor g(n).
-2*n**2*(n - 1)**2
Let g(p) be the first derivative of 0*p**2 - 1/6*p**4 + 0*p**3 + 2 + 2/15*p**5 + 0*p. Solve g(z) = 0 for z.
0, 1
Let w be 2/(-4) + 75/110. Factor 0*b - w + 2/11*b**2.
2*(b - 1)*(b + 1)/11
Let i = 4 + -1. Suppose 2*s - i = 1. Factor 2*g**2 + s*g - 2*g**5 + 3*g**2 - g**2 - 4*g**4.
-2*g*(g - 1)*(g + 1)**3
Let m(w) be the second derivative of w**9/1512 - w**7/420 - w**3/2 + 4*w. Let q(r) be the second derivative of m(r). Factor q(j).
2*j**3*(j - 1)*(j + 1)
Let k be (8/(-6))/(9 + (-123)/9). Factor 1/7*w**5 - 3/7*w**3 + 0 + k*w + 1/7*w**4 - 1/7*w**2.
w*(w - 1)**2*(w + 1)*(w + 2)/7
Let z(t) be the first derivative of 5*t**9/16632 + t**8/1155 + t**7/4620 - t**6/990 + t**3/3 + 4. Let k(q) be the third derivative of z(q). Factor k(c).
2*c**2*(c + 1)**2*(5*c - 2)/11
Let s(t) = t**3 - t**2 - 2. Let v be s(2). Factor -4/3*k**3 + 0 + k**v + 1/3*k.
-k*(k - 1)*(4*k + 1)/3
Let i(m) = -25*m**4 - 5*m**3 + 45*m**2 - 20*m + 5. Let x(d) = 12*d**4 + 3*d**3 - 23*d**2 + 10*d - 2. Let r(z) = -2*i(z) - 5*x(z). Determine o so that r(o) = 0.
-2, 0, 1/2, 1
Let u(f) = 2*f**3 + 1. Let x be u(1). Find c such that 2/5*c**2 - 2/5*c + 2/5*c**x - 2/5 = 0.
-1, 1
Let p(r) = r**3 + 15*r**2 + 16*r + 30. Let c be p(-14). Solve -c*o**2 + 8/3 - 40/3*o + 140/3*o**3 + 98/3*o**4 = 0.
-1, 2/7
Let n be 12/(-21) - 128/(-28). Let r be -1 - (-2 - n/(-28)). Factor -r*x + 4/7 + 0*x**2 + 2/7*x**3.
2*(x - 1)**2*(x + 2)/7
Let x(h) = -4*h**5 + 4*h**4 - 7*h**2 + 7*h. Let q(p) = p**5 - p**4 + 2*p**2 - 2*p. Let k(c) = 7*q(c) + 2*x(c). Let k(i) = 0. What is i?
0, 1
Factor 45*u**3 + 4*u**2 + 334 + 15*u - 10*u**4 - 334 - 54*u**2.
-5*u*(u - 3)*(u - 1)*(2*u - 1)
Let l be 6/(3 - 6/4). Let c(n) be the first derivative of 2/3*n**3 - 1/4*n**l + 0*n - 1 - 1/2*n**2. Factor c(i).
-i*(i - 1)**2
Let o(m) be the second derivative of -m**7/350 - m**6/200 + m**5/100 + m**4/40 - 2*m**2 + 3*m. Let u(j) be the first derivative of o(j). Solve u(a) = 0.
-1, 0, 1
Let i(a) = a**2 - 3*a + 1. Let z be i(4). Suppose 6*f - 16 = -2*f. Factor -z*o**2 + 4*o**2 + 0*o**f - o**3.
-o**2*(o + 1)
Let s = 73/3 - 24. Let l(y) be the first derivative of -s*y**3 - y + 1 - y**2. Find x, given that l(x) = 0.
-1
Suppose 0 = -l - 0*l + 3*y - 6, 4 = 5*l + 2*y. Let b(n) be the third derivative of l*n + 3*n**2 - 1/30*n**3 + 1/300*n**5 + 0 + 0*n**4. Solve b(i) = 0.
-1, 1
Let -62/9*y**2 - 40/9*y - 26/9*y**3 - 8/9 + 10/9*y**5 + 14/9*y**4 = 0. Calculate y.
-1, -2/5, 2
Let x(v) be the first derivative of v**6/24 - 3*v**5/40 - v**4/4 + 2*v**3/3 + 2. Let z(r) be the third derivative of x(r). What is j in z(j) = 0?
-2/5, 1
Let z(l) = -2*l**2 + 6*l. Let v be z(4). Let u = -5 - v. Let 0*c**u - 2 - 5*c - 2*c**3 + 7*c**3 + 0*c**2 + 2*c**2 = 0. What is c?
-1, -2/5, 1
Let w(s) be the third derivative of -s**5/15 - 2*s**4/3 - 8*s**3/3 - s**2. What is i in w(i) = 0?
-2
Let t be -3 + (-92)/(-12) + -4. Let u be (-8)/(-9) + 4/(-18). What is k in -t*k**2 - 2/3*k + u + 2/3*k**3 = 0?
-1, 1
Suppose 0 = -4*y + 16, -2*y = 2*i - 7*y + 12. Factor 4/3*s**3 - 2/3*s**2 - 2/3*s**i + 0 + 0*s.
-2*s**2*(s - 1)**2/3
Let d(z) be the first derivative of -3*z**5/5 + 13*z**4/4 - 13*z**3/3 + 3*z**2/2 + 8. Factor d(u).
-u*(u - 3)*(u - 1)*(3*u - 1)
Let x(c) be the second derivative of c**5/70 + c**4/21 + c**3/21 + c. Suppose x(o) = 0. What is o?
-1, 0
Let s(l) = -l**3 - 7*l**2 + l - 1. Let m be s(-7). Let n(q) = -q**3 - 7*q**2 + 8*q + 3. Let p be n(m). Factor a**4 + 15*a**3 - 15*a**p.
a**4
Let j = -6 - -10. Find a, given that -2*a + 2*a**2 + 2*a**3 - 2*a**4 - 4 + j = 0.
-1, 0, 1
Suppose 0 = -6*j + j + 10. Factor -4/11*p + 0 - 30/11*p**3 - 6/11*p**5 + j*p**4 + 18/11*p**2.
-2*p*(p - 1)**3*(3*p - 2)/11
Let t = -3 + 5. Let q(z) = -3*z**3 + 10*z**3 - 3*z - 3*z + z**t - 6. Let f(g) = g**3 - g - 1. Let n(v) = -6*f(v) + q(v). Factor n(o).
o**2*(o + 1)
Let s(p) = p**3 - 5*p**2 - 7*p + 6. Let h be s(6). Let o be (-9)/12*16/(-18). Find m such that o*m**3 + h*m + 0 - 4/3*m**2 = 0.
0, 2
Let q(p) be the third derivative of p**6/480 - p**4/32 + p**3/12 - 14*p**2. Determine c so that q(c) = 0.
-2, 1
Factor -s**4 + 4*s**4 - 41*s**3 + 6*s**2 + 32*s**3.
3*s**2*(s - 2)*(s - 1)
Let p(z) be the third derivative of z**9/15120 - z**7/2520 - z**4/8 + 3*z**2. Let c(w) be the second derivative of p(w). Factor c(b).
b**2*(b - 1)*(b + 1)
Let x be 10/33*51/85. Determine y, given that 2/11*y**2 + 2/11*y**3 - x*y**4 + 0 - 2/11*y**5 + 0*y = 0.
-1, 0, 1
Let g be 3*(2 - 46/(-9)). Let t(o) be the first derivative of 77/2*o**4 + 0*o + 4*o**2 + g*o**3 - 1 + 98/5*o**5. Factor t(i).
2*i*(i + 1)*(7*i + 2)**2
Let z = 45 + -42. Factor 0 + 1/4*d**z - 1/4*d + 0*d**2.
d*(d - 1)*(d + 1)/4
Let p(k) be the third derivative of 2*k**5/15 + 7*k**4/24 - k**3/6 + 9*k**2. Find w, given that p(w) = 0.
-1, 1/8
Let x = -10 - 2. Let d be 96/99*x/(-16). Factor 2/11*z**5 + 12/11*z**3 + 2/11*z + d*z**4 + 8/11*z**2 + 0.
2*z*(z + 1)**4/11
Let m be (-2)/9 - 1073/(-333). Let r(x) be the third derivative of 0*x - 1/4*x**m - 1/40*x**5 + 1/8*x**4 - 4*x**2 + 0. Determine n so that r(n) = 0.
1
Let n(y) be the first derivative of -y**5/70 + y**3/7 - 2*y**2/7 - 4*y - 5. Let g(d) be the first derivative of n(d). Factor g(v).
-2*(v - 1)**2*(v + 2)/7
Let z(i) be the second derivative of i**7/42 + 7*i**6/10 + 147*i**5/20 + 343*i**4/12 + i - 14. Factor z(g).
g**2*(g + 7)**3
Factor 12*k - k**3 + 5*k**3 - 18*k**2 - k**3 + 6*k**2.
3*k*(k - 2)**2
Let w(s) be the first derivative of 1/2*s**2 - s + 2/3*s**3 - 1/5*s**5 + 1/6*s**6 - 1/2*s**4 + 2. Solve w(g) = 0 for g.
-1, 1
Let s(t) = 31*t + 2. Let o be s(-2). Let p = 301/5 + o. Determine q so that 0 + 0*q**3 - p*q**2 + 1/5*q**4 + 0*q = 0.
-1, 0, 1
Let m(c) = 12*c**4 - 36*c**3 + 27*c**2 - 6*c + 3. Let h(x) = -13*x**4 + 36*x**3 - 27*x**2 + 6*x - 2. Let g(k) = -3*h(k) - 2*m(k). Factor g(u).
3*u*(u - 1)**2*(5*u - 2)
What is c in -1/6*c**4 + 18*c + 2*c**3 - 9*c**2 - 27/2 = 0?
3
Factor 2/7*n - 8/7 + 8/7*n**2 - 2/7*n**3.
-2*(n - 4)*(n - 1)*(n + 1)/7
Let g be -3 - (12/21 + 92/(-14)). Find o such that -2*o**2 - 1 + 5/2*o + 1/2*o**g = 0.
1, 2
Let j be (3 - 2) + (-718)/470. Let f = -6/47 - j. Factor f*d**4 - 2*d - 6/5*d**2 - 4/5 + 2/5*d**3.
2*(d - 2)*(d + 1)**3/5
Factor 57*o**3 + 3 - 4*o - 3*o**2 - 3 - 56*o**3.
o*(o - 4)*(o + 1)
Let a(s) be the third derivative of 