1, 2
Solve 3*u + 0*u - 12*u**3 + 21*u**3 + 3*u**4 + 9*u**2 = 0 for u.
-1, 0
Let r(h) = 147*h**2 - 207*h + 60. Let s(c) = -42*c**2 + 59*c - 17. Let t(d) = -5*r(d) - 18*s(d). Let t(g) = 0. Calculate g.
2/7, 1
Let u(s) = 2*s + 16. Let w be u(-7). Factor 8/5*g + 2/5*g**w - 2/5 - 8/5*g**3.
-2*(g - 1)*(g + 1)*(4*g - 1)/5
Factor 5*y**3 + 4 + 5*y**4 - 85*y**2 - 4 + 75*y**2.
5*y**2*(y - 1)*(y + 2)
Let l(p) = p**3 - 36*p**2 - 38*p + 39. Let x be l(37). Factor -2/5*q**3 + 0 - 2/5*q**5 + 0*q**x - 4/5*q**4 + 0*q.
-2*q**3*(q + 1)**2/5
What is d in 1/2*d**2 + 8*d + 32 = 0?
-8
Let n(p) be the first derivative of 3*p**6/2 + 6*p**5/5 - 3. Factor n(u).
3*u**4*(3*u + 2)
Let u be (35/(-18) - -2)*1. Let h(w) be the second derivative of 0*w**3 + w + 0*w**2 + u*w**4 + 0. Factor h(b).
2*b**2/3
Let s(i) be the third derivative of i**8/30240 - i**7/3780 + i**6/1620 + 5*i**4/24 + i**2. Let o(x) be the second derivative of s(x). Factor o(v).
2*v*(v - 2)*(v - 1)/9
Let h(l) be the second derivative of 0*l**4 - 1/9*l**3 + 1/30*l**5 + 0 + 0*l**2 - 3*l. Factor h(s).
2*s*(s - 1)*(s + 1)/3
Suppose 5*f - 2*f + 9 = 0. Let h be ((-1)/f + -1)*-3. Solve -2*i - 9 + 9 - 4*i**h - 2*i**3 = 0.
-1, 0
Let h(u) be the second derivative of -5*u**4/12 + 2*u**3/3 + 3*u**2 - 3*u. Let m(f) = -f**2 + f + 1. Let q(s) = h(s) - 6*m(s). Factor q(r).
r*(r - 2)
Let a(w) be the second derivative of w**4/3 - w**3/15 + 36*w. Solve a(z) = 0 for z.
0, 1/10
Let b = 3/164 + 969/820. Solve -b*t**3 + 4/5*t**2 + 0*t + 0*t**4 + 2/5*t**5 + 0 = 0.
-2, 0, 1
Let o be (5/(-3))/((-80)/15 + 5). Let w(z) be the second derivative of -2*z - 1/27*z**3 + 1/27*z**4 - 1/90*z**o + 0*z**2 + 0. Let w(g) = 0. Calculate g.
0, 1
Let i(w) be the first derivative of 16/3*w**3 - 6*w**2 + 2*w**4 - 16/5*w**5 + 2/3*w**6 + 7 + 0*w. Solve i(y) = 0 for y.
-1, 0, 1, 3
Let u be 126/27 - 1/(-3). Let h(x) be the first derivative of -x**2 + 1/2*x**4 + 2/5*x**u + 0*x - 2/3*x**3 - 3. Factor h(r).
2*r*(r - 1)*(r + 1)**2
Let l(y) = -3*y**4 - 16*y**3 - 13*y**2 - 7*y. Let k(c) = c**4 + 5*c**3 + 4*c**2 + 2*c. Let q = -7 + 9. Let h(a) = q*l(a) + 7*k(a). Let h(i) = 0. Calculate i.
-2, -1, 0
Let z(y) = y**3 + 3*y**2 - 6*y - 15. Let d be z(-3). Factor 4/13*x**4 + 0*x**2 + 0 - 2/13*x**d + 0*x - 2/13*x**5.
-2*x**3*(x - 1)**2/13
Let c(u) be the first derivative of -u**5/25 + u**3/15 - 1. Factor c(i).
-i**2*(i - 1)*(i + 1)/5
Let c(p) be the third derivative of -p**7/105 + 2*p**6/15 - 4*p**5/5 + 8*p**4/3 - 16*p**3/3 - 5*p**2. Factor c(t).
-2*(t - 2)**4
Find b, given that -4/19*b - 8/19*b**4 + 0 + 10/19*b**3 + 14/19*b**2 = 0.
-1, 0, 1/4, 2
Let w(j) be the first derivative of 2*j**2 + 1/5*j**5 + j + 2 + j**4 + 2*j**3. Determine h so that w(h) = 0.
-1
What is v in 2*v**2 - 14*v**3 + 0*v**2 - 12*v**4 - 2*v**2 - 2*v**2 = 0?
-1, -1/6, 0
Let y = -2/253 + 259/759. Factor -1/3*x**4 + 0 - 2/3*x**3 - y*x**2 + 0*x.
-x**2*(x + 1)**2/3
Let n be 4/(-6) + (-60)/(-9). Suppose -n*g = -2*g - 12. Factor -10*b**3 + 24*b**2 + g - 10*b + 1 - 4*b - 4*b.
-2*(b - 1)**2*(5*b - 2)
Let r = 15 - 7. Suppose -3*m + m = -r. Factor 2 - 8*d + 0*d**3 - 8*d**3 - 7*d**2 + 19*d**2 + 2*d**m.
2*(d - 1)**4
Let l(c) be the first derivative of c**5/25 - 7. Factor l(i).
i**4/5
Factor 72*x - 35*x**3 + 7*x**3 + 4*x**5 - 11*x**4 + 60*x**2 - x**4.
4*x*(x - 3)**2*(x + 1)*(x + 2)
Let g(w) be the third derivative of -w**6/30 + w**5/15 + 7*w**2. Suppose g(a) = 0. Calculate a.
0, 1
Let m be (-1)/(-3*(-3)/72). Let l be (m/10)/(4/(-10)). Solve 10/9*f - 14/9*f**4 - 10/9*f**3 + 2*f**l - 4/9 = 0.
-1, 2/7, 1
Let l(v) be the first derivative of -2 - 1/15*v**3 + 0*v - 1/5*v**2. Factor l(r).
-r*(r + 2)/5
Factor 2 + 36*c**2 - 3*c**4 - 39*c**2 - 2 - 6*c**3.
-3*c**2*(c + 1)**2
Let y be 7*3/18 + -1. Let v(c) be the second derivative of 0 - y*c**4 + 1/2*c**2 - c - 1/10*c**5 + 1/42*c**7 + 1/30*c**6 + 1/6*c**3. Solve v(h) = 0.
-1, 1
Let b = -46/77 + 16/11. Find z such that -2/7 - b*z**2 + 8/7*z = 0.
1/3, 1
Let m = -6 - -10. Let a be m/(-10) - 48/(-40). Factor 8/5*r**4 + 14/5*r**3 + 0 - 2/5*r + a*r**2.
2*r*(r + 1)**2*(4*r - 1)/5
Let b(o) = -o + 12. Let q be b(6). Let a(r) be the third derivative of 0*r - 13/30*r**5 + 5/3*r**4 - 3/35*r**7 - 1/2*r**q - 4/3*r**3 + 3*r**2 + 0. Factor a(t).
-2*(t + 2)**2*(3*t - 1)**2
Let w(q) = -19*q**2 + 1. Let l be w(1). Let p = l + 20. Find n, given that 2*n + 1/2*n**2 + p = 0.
-2
Let c(d) be the first derivative of -2*d + 0*d**3 + 0*d**2 + 1/10*d**5 + 0*d**4 - 3. Let f(j) be the first derivative of c(j). Solve f(w) = 0.
0
Let g(q) = -q**3 - q**2 + q + 1. Suppose 6 = -2*c - c. Let l(z) = -z**5 + 5*z**3 + 4*z**2 - 2*z - 2. Let d(x) = c*g(x) - l(x). Solve d(m) = 0.
-1, 0, 2
Let p(i) be the second derivative of -5*i + 1/6*i**2 + 0 + 4/9*i**4 + 4/9*i**3. Factor p(y).
(4*y + 1)**2/3
Find a, given that 2/21*a**2 - 10/21 + 8/21*a = 0.
-5, 1
Let q be (-52)/(-9) + (-2)/(-9). Factor 3*y - q*y**2 - 4*y**2 + 9*y**3 - 3*y**4 + y**2.
-3*y*(y - 1)**3
Factor 0 + 15/2*q**3 - 3*q**2 + 0*q - 9/2*q**4.
-3*q**2*(q - 1)*(3*q - 2)/2
Let o(j) be the third derivative of 0*j**5 + 10*j**2 + 0*j + 0 + 0*j**3 + 1/735*j**7 - 1/420*j**6 + 0*j**4. Factor o(z).
2*z**3*(z - 1)/7
Let 60*g**2 - 183*g**3 - 600*g + 91*g**3 + 90*g**3 + 2000 = 0. Calculate g.
10
Determine v so that 208*v**4 - 4 - 44*v - 31*v**3 - 64*v**5 - 153*v**2 - 45*v**3 + 8*v**2 = 0.
-1/4, 2
Let l be (-50)/(-30)*(-1 + -2). Let v = 9 + l. Let 3*g**v + 2*g - 6*g**3 + 0*g**4 - g**4 - 6*g**4 = 0. What is g?
-1, 0, 1/2
Factor -154*h**4 + 166*h**4 + 4*h**3 - 8*h + 4*h**5 - 8*h**2 - 4*h**2.
4*h*(h - 1)*(h + 1)**2*(h + 2)
Suppose 28 = 4*c - 4*z, 5*c - 3 = 2*z + 23. Let v(n) be the second derivative of n + 0 + 1/12*n**c + 0*n**2 - 1/6*n**3. Suppose v(t) = 0. What is t?
0, 1
Suppose -4*y + 20 = -0*y + 2*s, 4*y = s + 8. What is o in 3/2*o + 9/2*o**5 + 18*o**y + 0 + 15*o**4 + 9*o**2 = 0?
-1, -1/3, 0
Let s(y) be the second derivative of 2*y**6/15 - 3*y**5/5 - 5*y**4/3 + 2*y**3 + 8*y**2 + 14*y. Factor s(r).
4*(r - 4)*(r - 1)*(r + 1)**2
Let x(t) be the first derivative of -32/5*t**5 + 11*t**2 - 2*t**4 - 7/3*t**6 + 4*t + 28/3*t**3 + 1. Find v, given that x(v) = 0.
-1, -2/7, 1
Factor 2/7*s**2 - 4/7 - 2/7*s.
2*(s - 2)*(s + 1)/7
Let g(c) be the second derivative of -c**9/4536 + c**7/630 - c**5/180 + 2*c**3/3 + 5*c. Let z(y) be the second derivative of g(y). Factor z(k).
-2*k*(k - 1)**2*(k + 1)**2/3
Let t be ((-120)/(-36))/((-1)/3). Let f be (-1 + 1)/(t - -11). Solve 3/2*q + f - 3/2*q**2 = 0.
0, 1
Let c(u) = -u**2 - u + 1. Let a(r) = 2*r**4 + 2*r**3 - 2*r**2 + 2*r - 2. Let l(x) = 2*a(x) + 4*c(x). Factor l(d).
4*d**2*(d - 1)*(d + 2)
Factor 8/13*r**2 + 6/13*r - 2/13.
2*(r + 1)*(4*r - 1)/13
Let j be (3/(-9))/((-3)/6). Suppose 0 = -4*z + 2*z. Solve j*d**3 + 0*d**4 - 1/3*d + 0 + z*d**2 - 1/3*d**5 = 0.
-1, 0, 1
Let p(r) be the third derivative of -1/20*r**6 + 0*r**4 + 1/56*r**8 + 1/5*r**5 + 4*r**2 + 0*r - 1/2*r**3 - 3/70*r**7 + 0. Factor p(b).
3*(b - 1)**3*(b + 1)*(2*b + 1)
Let t(v) be the third derivative of 3*v**8/56 - 38*v**7/105 + 7*v**6/12 + v**5 - 11*v**4/3 + 8*v**3/3 - 3*v**2. Determine j so that t(j) = 0.
-1, 2/9, 1, 2
Let g(d) be the third derivative of d**7/1680 - d**6/160 + d**5/40 + d**4/12 - 3*d**2. Let w(o) be the second derivative of g(o). Solve w(m) = 0 for m.
1, 2
Factor -2*w**2 + 12*w**3 - 32 + 12*w - 60*w + 3*w**4 - 5*w**4.
-2*(w - 4)**2*(w + 1)**2
Let y = -919/4 + 236. Factor 2 + 2*b**4 - 7*b - 1/4*b**5 - y*b**3 + 19/2*b**2.
-(b - 2)**3*(b - 1)**2/4
Let p(w) be the first derivative of -3 - 3*w**4 + 12/5*w**5 - 1/2*w**6 - 2*w**3 + 15/2*w**2 - 6*w. Solve p(u) = 0.
-1, 1, 2
Let x = -20 + 29. Determine n, given that -n + x*n**2 - 6 + 13*n + 3*n = 0.
-2, 1/3
Let z be -2 - 6/(-5 + 2). Let q(m) be the first derivative of 0*m**2 + 1/5*m**5 - 1/3*m**3 + z*m - 2 + 0*m**4. What is g in q(g) = 0?
-1, 0, 1
Suppose -q + 3*k = 2*q, -k = 2. Let p(d) = -2*d**3 - 4*d**2 - d + 2. Let a be p(q). Let -3*x**2 - 7*x + 3 + a*x - x**3 - 4 = 0. What is x?
-1
Let y = 10 + -8. What is u in -y*u + 9*u**3 - 10*u**3 + 3*u = 0?
-1, 0, 1
Let t = 415801/300 - 1386. Let m(b) be the third derivative of -t*b**5 + 2*b**2 + 1/120*b**4 - 1/600*b**6 + 1/30*b**3 + 0*b + 0. Find a, given that m(a) = 0.
-1, 1
Factor -35*l**3 + 6*l - 80*l**2 - 13*l - 13*l.
-5*l*(l + 2)*(7*l + 2)
Factor 5*b**2 + 0*b**3 + b - 5*b**3