*o(x). Solve b(s) = 0 for s.
-2, -1, 1
Let l be ((-45)/12 - (-6)/2)*-4. Solve 0 + 0*h - 1/2*h**l - 1/2*h**2 = 0.
-1, 0
What is u in -u**2 - 19*u**2 + 3*u**3 + 2*u**3 + 5*u + 10*u = 0?
0, 1, 3
Let h(o) be the second derivative of 3*o**5/20 + o**4/4 - o**3 + 4*o. Let h(t) = 0. What is t?
-2, 0, 1
Let f(v) = v**2 - 14*v + 31. Let a(m) = -m**2 - m - 1. Let q(y) = -6*a(y) - f(y). Let q(p) = 0. Calculate p.
-5, 1
Let b(w) be the second derivative of w**8/13440 + w**7/5040 - w**6/1440 - w**5/240 - w**4/4 + 3*w. Let f(k) be the third derivative of b(k). Factor f(r).
(r - 1)*(r + 1)**2/2
Let c = -8 - -10. Suppose 0 = -p + 2 + c. Find l such that 0*l - l**2 + 0*l**3 + 1/2*l**p + 1/2 = 0.
-1, 1
Let q(z) be the first derivative of -4*z**3/3 + 28*z**2 - 196*z + 8. Factor q(g).
-4*(g - 7)**2
Factor 2/9*i**3 + 0*i - 2*i**2 + 0.
2*i**2*(i - 9)/9
Let z = -16 - -18. Factor 4*l**2 + l**3 + 0*l**3 - 3*l**z.
l**2*(l + 1)
Let f be 21/(3/1) + (2 - 5). Let x be (2 - 3)*(-2)/10. Solve 2/5 - k + 3/5*k**2 - 1/5*k**f + x*k**3 = 0 for k.
-2, 1
Find u, given that -5*u**3 + 5/2*u + 0 - 5/2*u**2 = 0.
-1, 0, 1/2
Let f be (-64)/(-24) - (0 - 2). Solve 10/3*i**2 - f*i + 4/3 = 0.
2/5, 1
Let f(a) be the third derivative of -a**7/945 + a**5/54 - 4*a**3/27 + a**2. What is w in f(w) = 0?
-2, -1, 1, 2
Let s(z) = 0*z**2 + 4*z**2 - 5*z**2 - 2*z - 5*z + 10. Let p be s(-8). Solve -2/11 + 4/11*q**p - 2/11*q = 0 for q.
-1/2, 1
What is v in -396*v + 444*v + 3*v**2 + 2*v**4 - v**2 - 12*v**3 + 32 = 0?
-1, 4
Let p(f) be the second derivative of -f**5/480 - f**4/32 - 3*f**3/16 + f**2/2 + 3*f. Let d(y) be the first derivative of p(y). Let d(b) = 0. Calculate b.
-3
Let l(p) be the third derivative of p**7/70 + p**6/40 - p**5/20 - p**4/8 + 32*p**2. Factor l(r).
3*r*(r - 1)*(r + 1)**2
Let h(f) be the first derivative of 2/3*f**3 + 0*f + 2 + f**2. Factor h(y).
2*y*(y + 1)
Let f(c) be the first derivative of -1/2*c**2 - 2 + 0*c**3 + 1/300*c**5 + 0*c**4 + 0*c. Let u(v) be the second derivative of f(v). Solve u(r) = 0 for r.
0
Let t(k) be the second derivative of -k**5/48 - k**4/24 + k**3/24 - k**2/2 - k. Let l(b) be the first derivative of t(b). Factor l(s).
-(s + 1)*(5*s - 1)/4
Factor 2*z**2 - 131 + 161 + 10*z**2 - 123*z.
3*(z - 10)*(4*z - 1)
Let u(m) be the first derivative of 3*m**4/16 + m**3 - 15*m**2/8 + 24. Factor u(z).
3*z*(z - 1)*(z + 5)/4
Let -6/5*d**2 - 3/5*d**3 + 0*d + 0 = 0. What is d?
-2, 0
Let r(a) be the first derivative of -a**6 - 2*a**5 + 11*a**4/2 - 2*a**3 - 25. What is c in r(c) = 0?
-3, 0, 1/3, 1
Let a be 7/63*30*24/50. Factor a*r + 8/5 + 2/5*r**2.
2*(r + 2)**2/5
Let g be 4 - 0 - 7/(7/4). Suppose 2/7*s**3 + g + 2/7*s + 4/7*s**2 = 0. Calculate s.
-1, 0
Let v(b) be the first derivative of 0*b**2 + 0*b + 1/8*b**4 - 4 + 0*b**3 - 1/10*b**5. What is c in v(c) = 0?
0, 1
Suppose -3*f = -4*f - 2. Let z = 2 + f. Factor z - 1/4*k**2 + 0*k.
-k**2/4
Let v(n) = n**2 - 11*n - 10. Let k be v(12). What is j in 7*j**2 - 5*j**2 - 7*j - 3 + 10*j**k - 2*j = 0?
-1/4, 1
Factor -16*o - 16/3*o**3 + 44/3*o**2 + 6 + 2/3*o**4.
2*(o - 3)**2*(o - 1)**2/3
Let u be 1*(-1 - (0 + -4 + 3)). Find i such that 0 + u*i + 2/5*i**2 + 6/5*i**3 - 8/5*i**4 = 0.
-1/4, 0, 1
Let -1/4*q**2 - 1/4 - 1/2*q = 0. Calculate q.
-1
Let n(b) be the third derivative of 1/27*b**3 - 3*b**2 + 0 + 1/54*b**4 + 0*b - 1/90*b**5. Suppose n(j) = 0. Calculate j.
-1/3, 1
Let d(o) = o**2 + 2*o + 6. Let k(g) = 2*g**2 + 5*g + 13. Let x(j) = -13*d(j) + 6*k(j). Factor x(c).
-c*(c - 4)
Let g(f) be the third derivative of 5*f**8/672 + f**7/21 - f**6/16 - 3*f**5/4 - 10*f**2. Factor g(l).
5*l**2*(l - 2)*(l + 3)**2/2
Let f = 7 - 7. Suppose 6*z + z = f. Factor 1/3*h + 1/3*h**2 + z - 1/3*h**4 - 1/3*h**3.
-h*(h - 1)*(h + 1)**2/3
Let u(y) be the second derivative of y**6/90 - y**4/12 + y**3/9 - 23*y. Factor u(m).
m*(m - 1)**2*(m + 2)/3
Let n(u) be the third derivative of -u**5/240 + u**4/96 + u**3/12 + 5*u**2. Factor n(o).
-(o - 2)*(o + 1)/4
Let k(u) be the first derivative of u**3/5 + 16. Factor k(h).
3*h**2/5
Let h(y) = -y**3 + 3*y**2 + 5*y - 1. Let q be h(4). Suppose 12 = 3*x + 2*p, 6 = 3*p - q. Factor 5*m**2 - m**2 - 2*m**4 - 4*m - x + 4*m.
-2*(m - 1)**2*(m + 1)**2
Factor 7 + 60*w**2 + 0 + 51*w + 3 - 6*w + 25*w**3.
5*(w + 1)**2*(5*w + 2)
Suppose 27 = -5*c + 2, 2*f = 5*c + 29. Let m(j) be the first derivative of j - 3/2*j**f + j**3 - 1/4*j**4 - 1. Factor m(q).
-(q - 1)**3
Find w, given that 1/10*w**2 - 1/2*w + 2/5 = 0.
1, 4
Let y(v) be the first derivative of -2/9*v**3 - 1 - v**2 - 4/3*v. Solve y(m) = 0.
-2, -1
Find t such that t**3 - 18*t**2 - 9*t + 0*t**3 + 27*t**2 - 4*t**3 + 3 = 0.
1
Let k be 1 - 1 - (-10)/20. Let y(j) be the first derivative of -1 - k*j**3 + j + 1/4*j**2. Factor y(n).
-(n - 1)*(3*n + 2)/2
Let v be (-2 - -1) + (-5)/(-4). Let b = -84 - -87. Let 0*q - 1/4*q**4 - v*q**b + 0 + 1/2*q**2 = 0. Calculate q.
-2, 0, 1
Let x(k) be the third derivative of 0 + 0*k - 2*k**2 - 1/3*k**3 + 1/6*k**4 - 1/30*k**5. Let x(s) = 0. Calculate s.
1
Suppose -3 = b, -4*b - 18 + 6 = -2*t. Determine x, given that -8/3*x + 4/3*x**3 + t + 4/3*x**2 = 0.
-2, 0, 1
Let v(r) = -r**2 + 8*r - 5. Let t be v(7). Suppose 3*h - t*h**4 - 5*h + 3*h - h**5 + 0*h**5 + 2*h**2 = 0. Calculate h.
-1, 0, 1
Let v(i) = 12*i - 2. Let n be v(-3). Let u = -113/3 - n. Factor j**3 + 0*j + 0 + u*j**2.
j**2*(3*j + 1)/3
Solve 2/5 + 4/5*x**2 + 6/5*x = 0 for x.
-1, -1/2
Suppose -4*z = 3*z - z. Factor z - 1/4*p**3 - 1/2*p**2 + 3/4*p.
-p*(p - 1)*(p + 3)/4
Let j = 3 + 11. Factor -4 - 18*k**3 - 30*k**2 - 16*k**4 - j*k**3 - 3*k**5 - 13*k + 3 - 1.
-(k + 1)**3*(k + 2)*(3*k + 1)
Let b(x) = -8*x**4 - 20*x**3 - 14*x**2 + 2*x - 4. Let s(u) = 8*u**4 + 21*u**3 + 15*u**2 - 3*u + 5. Let z(v) = 5*b(v) + 4*s(v). Let z(c) = 0. What is c?
-1, -1/2, 0
Let v(r) be the first derivative of -r**7/490 - r**6/140 - r**5/140 - r**2/2 - 5. Let c(x) be the second derivative of v(x). Suppose c(l) = 0. Calculate l.
-1, 0
Let t(z) = -z - 9. Let x be t(-11). Suppose -6 = -3*f - 2*a, 5*a = f - 0 - x. Factor -2/7*u**3 - 6/7*u - 2/7 - 6/7*u**f.
-2*(u + 1)**3/7
Let a**4 + a**3 - a**3 - a**3 + a + 0*a**4 - a**2 = 0. Calculate a.
-1, 0, 1
Let f = 95 - 93. Determine v, given that -1/7*v**3 + 0 - 1/7*v + 2/7*v**f = 0.
0, 1
Let t(k) = 0 + 2 - 3 + k. Let h be t(3). Factor z**h - 2*z - z**4 + 5*z**2 - 6*z**3 + 3*z**4.
2*z*(z - 1)**3
Let j(c) be the first derivative of 1/3*c**3 + 2*c + 2 - 3/2*c**2. Factor j(p).
(p - 2)*(p - 1)
Let p be (-64)/28 + 4/14. Let j = p + 4. Factor -4/9 - 2/3*u**3 + 2/3*u + 4/9*u**j.
-2*(u - 1)*(u + 1)*(3*u - 2)/9
Suppose -9 = j - 12. Solve -2/3 + 4/3*i**2 - 4/3*i**j + 2/3*i - 2/3*i**4 + 2/3*i**5 = 0 for i.
-1, 1
What is r in -21/2*r + 3 + 3/2*r**2 - 9/2*r**4 + 21/2*r**3 = 0?
-1, 1/3, 1, 2
Let l(n) be the second derivative of -n**9/1512 + n**8/840 + n**7/420 - n**6/180 + n**3/3 + 3*n. Let g(w) be the second derivative of l(w). Factor g(m).
-2*m**2*(m - 1)**2*(m + 1)
Let l(p) be the first derivative of -3*p**2 - 4*p + 3 + 3/2*p**4 + 4/3*p**3. Factor l(d).
2*(d - 1)*(d + 1)*(3*d + 2)
Let n(j) be the third derivative of 1/135*j**6 + 0 + 5*j**2 + 0*j**7 - 2/27*j**3 + 1/135*j**5 - 1/36*j**4 - 1/1512*j**8 + 0*j. Determine a so that n(a) = 0.
-1, 1, 2
Suppose 0 = 5*n + 3*v + 19, -2*v - 4 = -4*n + 2*v. Let o be n - -3 - (-1)/1. What is j in -2*j**2 - j**o - j + 2*j**2 = 0?
-1, 0
Let c(s) = 3*s**2 + 37*s + 30. Let j(r) = -20*r**2 - 260*r - 210. Let o(f) = -15*c(f) - 2*j(f). Solve o(g) = 0 for g.
-6, -1
Factor 6*w**4 + 3*w**3 + 3*w**3 + 2*w**5 + 0*w**2 + 2*w**2.
2*w**2*(w + 1)**3
Let p(i) be the third derivative of -i**7/350 + i**6/200 + i**5/20 + 3*i**4/40 - 2*i**2. Let p(w) = 0. Calculate w.
-1, 0, 3
Let d(j) be the second derivative of j**8/6720 + j**7/2520 - j**6/360 - j**4/6 - 6*j. Let y(p) be the third derivative of d(p). Let y(l) = 0. What is l?
-2, 0, 1
Let f(b) be the second derivative of 7*b**6/30 + b**5/10 - 7*b**4/4 - 10*b**3/3 - 2*b**2 - 6*b. Factor f(u).
(u - 2)*(u + 1)**2*(7*u + 2)
Let c(h) be the second derivative of -h**6/2 + h**5/2 + 5*h**4/12 + 15*h. Solve c(o) = 0.
-1/3, 0, 1
Suppose 2*q = 2*s - 5*s - 2, q = -4. Suppose 0*w**4 - 2*w**4 - s*w**5 + 0*w**5 - w**3 + w**5 = 0. Calculate w.
-1, 0
Let a(k) = -k**4 - k**3 + k**2 - k - 1. Let w = -11 - -17. Let g(b) = 5*b**4 + 6*b**3 - 5*b**2 + 6*b + 6. Let d(n) = w