r 0 + 2/3*w**2 - w**3 + 1/3*w.
-w*(w - 1)*(3*w + 1)/3
Let d be 3*4*4/3. Suppose -3*x - 2*u + d = 2*u, -8 = 4*x - 2*u. Factor -1/5*j**4 + 0 + 0*j**3 + 1/5*j**2 + x*j.
-j**2*(j - 1)*(j + 1)/5
Let w(f) be the first derivative of -f**6/1440 + f**5/240 - f**3 - 3. Let z(a) be the third derivative of w(a). What is r in z(r) = 0?
0, 2
Let b(v) = v**5 - v**4 - v**3 - v**2 + v - 1. Let q(j) = -7*j**5 + 10*j**4 + 2*j**3 + 6*j**2 - 6*j + 6. Let u(r) = -6*b(r) - q(r). Factor u(p).
p**3*(p - 2)**2
Suppose 0 = 4*o - 5*o + 4. Suppose o = 4*s - 8. Let l(i) = -11*i**4 + 6*i**2 + i - 3. Let r(m) = -m**4 + m - 1. Let k(g) = s*r(g) - l(g). Factor k(b).
2*b*(b + 1)*(2*b - 1)**2
Let k be 12/(0 + -4) - -5. Let m(b) be the first derivative of -1/6*b**4 + 0*b + 2/9*b**3 - 2/15*b**5 + 2 + 1/3*b**k. Determine q, given that m(q) = 0.
-1, 0, 1
Let s(g) = -2*g**3 + 4*g**2 - 2*g. Let r(l) = l**3 - 6*l**2 + 5*l + 3. Let p be r(5). Let v(x) = -x**3 + 2*x**2 - x. Let d(z) = p*s(z) - 5*v(z). Solve d(i) = 0.
0, 1
Let g be (-38)/27 - (-1 - (3 + -2)). Let z(h) be the first derivative of g*h**3 - 1 + 0*h + 4/9*h**2 - 5/18*h**4. Factor z(i).
-2*i*(i - 2)*(5*i + 2)/9
Let n(d) be the second derivative of 0*d**3 + 1/195*d**6 + 0*d**2 + 1/130*d**5 + 6*d + 0*d**4 + 0. Find k such that n(k) = 0.
-1, 0
Let w(x) be the second derivative of -x**7/5880 + x**4/12 - 7*x. Let k(h) be the third derivative of w(h). Let k(s) = 0. What is s?
0
Let l(r) be the second derivative of r**5/50 + r**4/10 + r**3/5 + r**2/5 - 25*r. Determine u, given that l(u) = 0.
-1
Let v be 8/(-14)*(-7)/2. Suppose -x + 0 = 4*m - 1, 5*m - 2 = -v*x. Factor m*l + 0*l**2 + 0*l**3 + 1/2*l**4 + 0.
l**4/2
Let p be ((-9)/(-6))/(3/4). Factor -1 + 0*w**2 + w**p - w**3 + w + 0 + 0*w**2.
-(w - 1)**2*(w + 1)
Suppose f = 3*f - 10. Let l = 13 - f. Find x, given that 3*x**2 + 4*x**2 - l - 2*x**3 - x**2 = 0.
-1, 2
Let y(g) be the second derivative of 0*g**2 - 1/60*g**6 - 1/84*g**7 + g + 1/24*g**4 + 0 + 1/40*g**5 + 0*g**3. Determine z so that y(z) = 0.
-1, 0, 1
Let n(r) be the first derivative of -r**8/504 + r**6/180 - r**2 + 5. Let y(f) be the second derivative of n(f). What is u in y(u) = 0?
-1, 0, 1
Let f = 4/149 - -850/1639. Factor 8/11*q + 0*q**2 + 0 - f*q**3 - 2/11*q**4.
-2*q*(q - 1)*(q + 2)**2/11
Let g(t) = -t**2 - 5*t + 8. Let v be g(-6). Factor 0*q - 9*q**2 - 4*q + 11*q**2 + v.
2*(q - 1)**2
Let o(g) be the third derivative of g**5/240 + g**4/48 - g**3/8 + g**2. Find m such that o(m) = 0.
-3, 1
Factor 14 + 3*b - 4*b**2 - 35*b - 78.
-4*(b + 4)**2
Let l(c) be the first derivative of -c**4/4 - 5*c**3/2 - 6*c**2 - 3*c - 9. Let t(k) be the first derivative of l(k). Solve t(v) = 0 for v.
-4, -1
Let t(w) be the second derivative of 6*w**4/5 + 17*w**3/15 + 2*w**2/5 - 5*w. Find h, given that t(h) = 0.
-1/4, -2/9
Let i = -629/3 - -210. Factor 0*d**2 - i*d + 1/3*d**3 + 0.
d*(d - 1)*(d + 1)/3
Determine n, given that 4*n + 2/13*n**2 + 26 = 0.
-13
What is i in -3/4*i**2 - 3*i - 3 = 0?
-2
Let u(s) be the first derivative of 4*s**5/5 + 2*s**4 + 4*s**3/3 + 2. Determine x so that u(x) = 0.
-1, 0
Let m(h) be the second derivative of 0 - 1/240*h**5 - 3*h + h**2 + 1/96*h**4 + 0*h**3. Let v(r) be the first derivative of m(r). Factor v(f).
-f*(f - 1)/4
Let o(v) be the first derivative of v**4/16 - v**3/6 + v**2/8 - 40. Let o(n) = 0. Calculate n.
0, 1
Factor -n - 4*n + n**3 + 3*n**2 - n**4 - 28 + 30.
-(n - 1)**3*(n + 2)
Suppose -2*v + 5 + 19 = 0. Suppose -5*o - 6*o**4 + 6*o**2 + v*o - 3*o**5 - 3*o - o = 0. What is o?
-1, 0, 1
Let y(r) be the second derivative of r**6/15 - r**4/6 + 38*r. Factor y(p).
2*p**2*(p - 1)*(p + 1)
Let r(g) be the first derivative of 2 + 0*g + 0*g**4 + 0*g**2 - 1/120*g**5 + 1/720*g**6 + 1/3*g**3. Let j(q) be the third derivative of r(q). Factor j(a).
a*(a - 2)/2
Suppose 0 + 0*d - 2/13*d**4 - 6/13*d**3 + 0*d**2 = 0. What is d?
-3, 0
Let d = -324/11 + 1664/55. Suppose 2/5*l - d*l**2 + 4/5 - 2/5*l**3 = 0. What is l?
-2, -1, 1
Let v be -4 + 4 + 1/4. Let h = 409/20 + -96/5. Determine o so that -3/4*o**3 - 7/4*o**2 - v - h*o = 0.
-1, -1/3
Let d = 10955/12 + -911. Let a = d - 7/6. Factor 0*s**2 - 3/4*s + 0 + a*s**3.
3*s*(s - 1)*(s + 1)/4
Let a(t) be the second derivative of -2*t**7/105 + 4*t**6/75 + 2*t**5/25 - 4*t**4/15 - 2*t**3/15 + 4*t**2/5 + 4*t. Let a(d) = 0. Calculate d.
-1, 1, 2
Factor -2/7*q**5 - 4/7*q**3 + 0*q - 6/7*q**4 + 0*q**2 + 0.
-2*q**3*(q + 1)*(q + 2)/7
Let r(i) be the first derivative of 1 - 2*i**2 + 2/3*i**3 + 2*i. Factor r(v).
2*(v - 1)**2
Find a such that 11/3*a**2 + 0 + 13/3*a**4 - a**5 - 19/3*a**3 - 2/3*a = 0.
0, 1/3, 1, 2
Let t = 5 - 23/5. Factor -t*j**3 + 4/5*j**2 + 0*j + 0.
-2*j**2*(j - 2)/5
Find m, given that -237*m + 3*m**3 + 5*m**4 + 217*m + 30*m**2 - 23*m**3 + 5 = 0.
1
Suppose 2 = -4*z - 5*s - 2, -3*z - 5*s = 8. Let g(m) be the first derivative of 1/4*m**z - 1 - 1/2*m**2 - 1/3*m**3 + m. Suppose g(c) = 0. Calculate c.
-1, 1
Let l be (18/(-15))/(2/(-15)). Suppose -3*q - 5*i + 37 = 0, -4*q - l = -4*i - i. Determine b, given that 0*b - b + 6*b - 2*b**3 + b**q - 3*b**2 + b**3 - 2 = 0.
-2, 1
Suppose -6*w - 4*w = -20. Factor 17/3*a**4 + 5/3*a**5 + 11/3*a**w + 0 + 7*a**3 + 2/3*a.
a*(a + 1)**3*(5*a + 2)/3
Suppose 0 = 4*v - 16. Let k(f) be the second derivative of 1/45*f**6 + v*f + 0 + 1/18*f**4 + 0*f**3 + 0*f**2 - 1/15*f**5. Determine n, given that k(n) = 0.
0, 1
Let q(o) = o + 23. Let y be q(-19). Let 6*c**3 + 0 - 5/2*c**y - 9/2*c**2 + c = 0. What is c?
0, 2/5, 1
Let f be 48/27 - 2 - 608/(-1440). Factor -f*s**3 + 0 - 2/5*s**2 + 3/5*s.
-s*(s - 1)*(s + 3)/5
Let k(y) be the third derivative of 0 + 0*y**4 + 0*y + 0*y**3 - 1/300*y**5 + 1/300*y**6 + y**2. Factor k(c).
c**2*(2*c - 1)/5
Solve 4/5*z**2 + 2/5 + 6/5*z = 0.
-1, -1/2
Let l be (-10)/(-4)*(448/(-315))/(-16). Factor 10/3*h**2 + 0 - 14/9*h**3 - 2*h + l*h**4.
2*h*(h - 3)**2*(h - 1)/9
Let l(n) be the third derivative of -n**8/1512 - n**7/945 + n**6/540 + n**5/270 - 9*n**2. Let l(s) = 0. Calculate s.
-1, 0, 1
Let f(j) be the third derivative of j**7/105 + j**6/12 + 3*j**5/10 + 7*j**4/12 + 2*j**3/3 + 7*j**2. Find l such that f(l) = 0.
-2, -1
Let b(k) = -19*k + 57. Let n be b(3). Determine j, given that -1/7*j**5 + 0 + n*j**4 + 0*j + 1/7*j**3 + 0*j**2 = 0.
-1, 0, 1
Let o = -7 - -25/3. Factor -1/3*d**5 + 5/3*d + 2/3*d**2 - o*d**3 + 2/3 - 4/3*d**4.
-(d - 1)*(d + 1)**3*(d + 2)/3
Let t(w) be the first derivative of 0*w - 1/48*w**4 + 1/2*w**2 - 1 + 1/24*w**3 + 1/240*w**5. Let x(k) be the second derivative of t(k). Factor x(h).
(h - 1)**2/4
Let q(t) = -3*t**3 + 11*t**2 + 13*t - 12. Let f(m) = -m**3 + m**2 + m. Let h(i) = 2*f(i) - q(i). Let a be h(10). Factor 0 + 0*b**a - 1/5*b**4 - 1/5*b**3 + 0*b.
-b**3*(b + 1)/5
Let a = 9/5 + -17/15. Solve -a*r - 2/3*r**2 + 0 = 0.
-1, 0
Let j(f) be the first derivative of -3 + 21/16*f**4 + 33/8*f**2 - 3/2*f - 4*f**3. Determine l so that j(l) = 0.
2/7, 1
Let f be 3 + (-6)/(-4)*2. Suppose y + y = f. Find d such that 8*d - 3*d**y + 8*d**3 - d**3 - 2*d + 9*d**2 + 1 = 0.
-1, -1/4
Suppose -3*p + 10 = 4*o, -2*p + 3*p - 2*o = 0. Let s be 5/p - (-2)/(-4). Factor k**s - 1/3 + 2/3*k.
(k + 1)*(3*k - 1)/3
Let f(b) = b - 7. Let d be f(7). Solve -2/9*p**2 - 2/9*p + d = 0.
-1, 0
Factor 18*c**3 - 54*c**4 + 123*c**2 - 3*c - 117*c**2 + c.
-2*c*(3*c - 1)**2*(3*c + 1)
Let u(g) be the third derivative of -g**6/30 + 6*g**5/5 - 18*g**4 + 144*g**3 + 11*g**2. Suppose u(c) = 0. What is c?
6
Let m(o) = 6*o**2 + 15*o - 48. Let b(p) = -p**2 + p. Let q(r) = -9*b(r) - m(r). Solve q(n) = 0.
4
Suppose 34*z - 14 - 54 = 0. Factor -4/3*l**3 + 4/3*l - 1/3*l**z + 1/3.
-(l - 1)*(l + 1)*(4*l + 1)/3
Let l be (0 + 3)/(45/10). What is t in -l*t**4 + 2/9 + 2/3*t - 4/9*t**3 + 4/9*t**2 - 2/9*t**5 = 0?
-1, 1
Let i(b) = b**3 + 4*b**2 - 6*b - 3. Let y be i(-5). Factor -5*a**y + 5*a**2 - 4*a**4 + 62*a**5 - 64*a**5.
-2*a**4*(a + 2)
Let j(k) = -2*k**4 + 6*k**2 - k. Let z be (-75)/(-6)*(-16)/(-20). Let f(p) = p**4 - 3*p**2 + p. Let o(b) = z*f(b) + 6*j(b). Determine r so that o(r) = 0.
-1, 0, 2
Let b(o) be the first derivative of -o**5/20 - o**4/8 + o**3 - o**2/2 - 5. Let n(p) be the second derivative of b(p). Factor n(j).
-3*(j - 1)*(j + 2)
Let l be (-8)/(-12) + (-237)/(-9). Find u such that l*u + 27 + 3*u**2 + 4*u**2 + 2*u**2 + u**3 = 0.
-3
Let f(m) = 4*m - 1 - m - m**2 - 2*m. Let n(v) = -v*