*r + c*r**2 = 0.
-6, -1
Let i(q) be the first derivative of -11 + 0*q**3 - q**2 + 1/2*q**4 + q - 1/5*q**5. Factor i(f).
-(f - 1)**3*(f + 1)
Let p(b) = -b**2 + b - 3. Let t(w) = w**2 - 2*w + 3. Let c(s) = -2*p(s) - 3*t(s). Let z(k) = 2*k**2 - 8*k + 6. Let u(g) = 14*c(g) + 6*z(g). Factor u(r).
-2*(r - 3)*(r - 1)
Let k(w) = w**5 - 2*w**2 - 1. Let s(q) = -18*q**5 - 39*q**4 - 6*q**3 - 3*q**2 - 6. Let r(i) = -6*k(i) + s(i). Factor r(d).
-3*d**2*(d + 1)**2*(8*d - 3)
Let z be 26/(-3) + (-2457)/(-273). Solve -z*s**3 - s**2 - 5/3 + 3*s = 0.
-5, 1
Let 335*y**4 - 179*y**4 - 196*y**4 + 7*y**5 - 16*y - 31*y**2 + 72*y**3 - y**2 = 0. What is y?
-2/7, 0, 2
Let k = -4666/1295 + 109/37. Let j = 4/5 + k. Find s such that j*s**5 + 1/7*s**2 + 0 + 2/7*s - 3/7*s**3 - 1/7*s**4 = 0.
-1, 0, 1, 2
Let q(t) be the third derivative of t**7/42 - t**6/24 - t**5/4 + 25*t**4/24 - 5*t**3/3 - 137*t**2 + 2*t. Factor q(n).
5*(n - 1)**3*(n + 2)
Factor 3/2*b**2 - 3/4*b + 9/4*b**3 + 0.
3*b*(b + 1)*(3*b - 1)/4
Let o(k) = -k**3 - k**2 + 2. Let n(h) = -2*h**3 - 20*h**2 + 18*h + 44. Let u(i) = n(i) - 4*o(i). Factor u(j).
2*(j - 6)*(j - 3)*(j + 1)
Let x(q) be the first derivative of 4*q**3/3 - 38*q**2 - 32. Factor x(n).
4*n*(n - 19)
Let u(y) be the first derivative of 2*y**5/25 - 52*y**4/5 + 1936*y**3/5 - 2080*y**2 + 4000*y + 356. Factor u(h).
2*(h - 50)**2*(h - 2)**2/5
Let p(w) be the first derivative of -2/27*w**3 - 3 + 1/108*w**4 - 1/2*w**2 + 1/270*w**5 + 0*w. Let g(r) be the second derivative of p(r). Factor g(q).
2*(q - 1)*(q + 2)/9
Let h(d) = -d. Let z(p) = p**2 - 9*p - 3. Let r(g) = 6*h(g) - z(g). Let l be r(3). Find i such that -1/3*i**4 + 0*i - 2/3*i**l - 1/3*i**2 + 0 = 0.
-1, 0
Let r = 5/167 - -142/835. Let 0*v + 0 + 3/5*v**3 + 2/5*v**2 + r*v**4 = 0. Calculate v.
-2, -1, 0
Let c(b) be the second derivative of b**4/42 - 12*b**3/7 - 37*b**2/7 - 200*b. Factor c(j).
2*(j - 37)*(j + 1)/7
Let r(d) be the second derivative of d**5/15 + 13*d**4/18 + 8*d**3/3 + 3*d**2 + 3*d - 81. Factor r(i).
2*(i + 3)**2*(2*i + 1)/3
Let s(r) be the first derivative of -2*r**5/5 - 24*r**4 + 2*r**3/3 + 48*r**2 - 767. Solve s(a) = 0.
-48, -1, 0, 1
Let r(v) be the first derivative of 2*v**5/45 - 2*v**3/9 + 2*v**2/9 + 48. Let r(g) = 0. Calculate g.
-2, 0, 1
Let q be 5/(-10)*(-17)/(136/32). Factor -4 + 2/3*x**q + 2/3*x.
2*(x - 2)*(x + 3)/3
Let b = -4 - -10. Suppose 5*o = 2*o + b. Suppose -i + 3*i + i + 15*i**3 - 9*i**o - 9*i**3 = 0. What is i?
0, 1/2, 1
Let m = 144/13 - 10774/975. Let d(k) be the first derivative of m*k**5 + 2/45*k**3 + 1/15*k**4 + 0*k**2 + 0*k - 4. Let d(i) = 0. Calculate i.
-1, 0
Let o(n) be the third derivative of -25*n**8/1344 - 2*n**7/35 - 7*n**6/160 + n**5/120 - 2*n**2 + 4*n. Determine p so that o(p) = 0.
-1, 0, 2/25
Suppose 11*w + 36 = 168. Suppose -11*s + 15*s = w. Find n such that 2/3*n**s + 0 - 2/3*n**2 - 2/9*n**4 + 2/9*n = 0.
0, 1
Let j(c) be the second derivative of 0 - 6*c + 0*c**5 + 1/30*c**6 + 0*c**2 - 1/42*c**7 + 0*c**4 + 0*c**3. Find t, given that j(t) = 0.
0, 1
Let g be 8 + -2 - (0 + 4). Let j(a) = a**2 + 17 - 2*a**g - 16. Let r(x) = 9*x**3 + 4*x**2 - 2*x + 3. Let k(z) = -3*j(z) + r(z). Factor k(c).
c*(c + 1)*(9*c - 2)
Let u be (-20)/(4 - 0)*-1. Let p(o) be the second derivative of -1/78*o**4 + o + 0*o**2 + 0 - 1/130*o**u + 1/39*o**3 + 1/195*o**6. Factor p(a).
2*a*(a - 1)**2*(a + 1)/13
Suppose -2*d = 3*p - 14, 9*d + 2*p = 5*d + 20. Let c(k) be the first derivative of -7/6*k**3 - 5 - 1/2*k**d - 1/2*k**2 + 1/2*k. Factor c(n).
-(n + 1)**2*(4*n - 1)/2
Let j(v) be the first derivative of 1/2*v**2 - 9 + 1/2*v**3 - 1/12*v**6 - 1/8*v**4 - 3/10*v**5 + 0*v. Suppose j(d) = 0. Calculate d.
-2, -1, 0, 1
Let g be (16/24)/((-2)/(-9)). What is p in 4*p**4 - 4*p**2 + 4*p**4 - g*p**4 - p**2 = 0?
-1, 0, 1
Let a(q) be the third derivative of 1/33*q**3 + 0 + 0*q - 22*q**2 + 1/330*q**5 - 1/66*q**4. Factor a(r).
2*(r - 1)**2/11
Let u(c) be the first derivative of c**5/15 - 3*c**4/4 + 7*c**3/9 + 3*c**2/2 - 8*c/3 + 57. Let u(p) = 0. Calculate p.
-1, 1, 8
Let p(z) be the third derivative of z**6/40 + 9*z**5/5 - 37*z**4/8 - 61*z**2 + z. Factor p(i).
3*i*(i - 1)*(i + 37)
Let k = -13017 + 91121/7. Find r such that 12/7*r**4 + 16/7*r**2 + 0 + 24/7*r**3 + 0*r + k*r**5 = 0.
-2, 0
Find r, given that -48*r - 53*r**3 - 28*r**2 - 36*r**2 - 4*r**4 + 25*r**3 = 0.
-3, -2, 0
Let r(c) be the second derivative of c**5/60 + 3*c**4/8 + 4*c**3/3 - 25*c**2/2 + c. Let l(o) be the first derivative of r(o). Factor l(z).
(z + 1)*(z + 8)
Factor 60*p**4 - 95*p**4 - 2*p**5 + 90*p**3 - 3*p**5 - 1240*p**2 + 3040*p + 70*p**4 - 1920.
-5*(p - 4)**3*(p - 1)*(p + 6)
Let l(p) = p**4 - 248*p**3 - 1320*p**2 - 2864*p - 2152. Let y(m) = m**4 - 83*m**3 - 440*m**2 - 954*m - 717. Let q(i) = 3*l(i) - 8*y(i). Factor q(g).
-5*(g + 2)**2*(g + 6)**2
Let q be 1/(2/12) - (-102 + 105). What is w in 0 + 1/2*w**4 - 1/2*w + 1/2*w**q - 1/2*w**2 = 0?
-1, 0, 1
Let z(m) be the third derivative of 0*m - 15/8*m**4 - 4 + 1/12*m**5 + 2*m**2 + 0*m**3. Factor z(l).
5*l*(l - 9)
Let y be (-2)/(-7) + (-46)/14. Let h(l) = 5*l**2 - 4*l + 5. Let m(i) = 6*i + 0*i**2 - 9 - 9*i**2 + 10*i - 8*i. Let j(g) = y*m(g) - 5*h(g). Solve j(p) = 0.
1
Solve 3*a - 3/4*a**4 + 0 + 15/4*a**3 - 6*a**2 = 0.
0, 1, 2
Let z = -113 - -126. Suppose 67 = z*t + 15. Find h, given that 1/4*h**3 + h**2 - 1/4*h**t + 0 - h = 0.
-2, 0, 1, 2
Let p(u) be the second derivative of u**5/60 - u**4/18 - 13*u**3/18 - 5*u**2/3 - 362*u. Factor p(t).
(t - 5)*(t + 1)*(t + 2)/3
Let b = 378 - 373. Let k(o) be the first derivative of 3/20*o**b - 9/8*o**2 + 1/4*o**3 - 3/2*o + 9/16*o**4 - 11. Factor k(d).
3*(d - 1)*(d + 1)**2*(d + 2)/4
Let q(l) be the third derivative of l**7/168 - l**6/30 + 3*l**5/40 - l**4/12 + 2*l**3/3 - 21*l**2. Let b(f) be the first derivative of q(f). Factor b(s).
(s - 1)**2*(5*s - 2)
Let n be 2/(-1)*6/36*6 - -2. Factor 2/7*b**2 - 2/7*b + n.
2*b*(b - 1)/7
Factor -1120*h - 1432*h**2 + 565*h**3 + 110*h**3 - 36*h**4 - 41 - 155 - 195*h**3.
-4*(h - 7)**2*(3*h + 1)**2
Let o(u) be the first derivative of 7*u**4/26 + 62*u**3/39 + 40*u**2/13 + 24*u/13 + 480. Find y such that o(y) = 0.
-2, -3/7
Suppose -u - 2*u + 21 = 5*f, -16 = -2*f - 5*u. Let l be (-75)/(f/((-45)/21)). Factor 24/7 + l*x**4 + 90*x**2 + 825/7*x**3 + 204/7*x.
3*(x + 1)*(5*x + 2)**3/7
Let f = -10 + 12. Suppose f = -3*r + 5*r. Factor -3 + 14*g**2 - 12*g**2 + r.
2*(g - 1)*(g + 1)
Let c = 183 - 5115/28. Let h(j) be the first derivative of 3/7*j**2 - 7 + c*j**4 + 0*j + 5/7*j**3. Factor h(d).
3*d*(d + 1)*(3*d + 2)/7
Suppose 0*i - o + 6 = i, 5*o - 16 = 2*i. Factor 23 - 21*n + 32 + 3*n**i - 55.
3*n*(n - 7)
Suppose 2*r = -4*i - 13 + 35, -3*i - 4*r + 9 = 0. Let -3*j**5 - 6*j**3 + 5*j**2 + 15*j - 19*j**4 + i*j**4 + 7*j**2 - 6*j = 0. Calculate j.
-3, -1, 0, 1
Let q = 2 + -4. Let n be (-1)/1 - -1 - q. Factor -2*x**n + 2 - 155*x + 155*x.
-2*(x - 1)*(x + 1)
Factor 65*w**3 + 17*w + 2*w - 25*w**4 - 4*w - 55*w**2.
-5*w*(w - 1)**2*(5*w - 3)
Let n(s) be the first derivative of s**3/3 - 2*s + 2. Let g(w) = w. Let f(p) = 3*g(p) + 3*n(p). Factor f(t).
3*(t - 1)*(t + 2)
Let t(x) = 5*x**2 + 8. Let s be t(4). Let w be (4/(-14))/(s/(-77)). Factor -j - 1/4 + j**3 + w*j**2.
(j - 1)*(j + 1)*(4*j + 1)/4
Let o be 15/3 + 63/(-15). Let z(t) be the first derivative of -o*t**5 - 10 + 0*t**2 + 0*t + 0*t**3 + t**4. What is i in z(i) = 0?
0, 1
Factor 308/5*o + 4/5*o**3 - 392/5 - 64/5*o**2.
4*(o - 7)**2*(o - 2)/5
Let q = -506399/240 + 2110. Let d(n) be the third derivative of -1/240*n**6 + q*n**5 + 0*n**4 + 0 + 0*n**3 - 9*n**2 + 0*n. What is b in d(b) = 0?
0, 1/2
Let g(i) be the first derivative of -1029/4*i**4 + 14 + 192*i + 588*i**3 - 504*i**2. Factor g(h).
-3*(7*h - 4)**3
Let r(o) be the second derivative of -o**8/2184 + o**7/1365 - 4*o**2 - 9*o. Let f(w) be the first derivative of r(w). Factor f(l).
-2*l**4*(l - 1)/13
Let g(h) be the first derivative of 0*h + 23 + 1/4*h**4 - 1/3*h**3 + 0*h**2. Find i such that g(i) = 0.
0, 1
Let l(n) be the second derivative of 9*n**5/20 - 361*n**4/4 - 243*n**3/2 + 363*n**2/2 + 140*n + 1. Suppose l(d) = 0. What is d?
-1, 1/3, 121
Let -18*z + 0 + 3/2*z**4 + 3/2*z**3 - 12*z**2 = 0. Calculate z.
-2, 0, 3
Suppose -5*l = -k - 23, -5*k - 4 = -5*l + 11. Determine r, given that 4*r**3 + l*r**4 - 10*r - 5*r**2 + r**3 - r**3 + 6*r**3 = 0.
-2, -1, 