1, 3
Let s be 1*9 - (-13 - -20). Let u(n) be the first derivative of 2/9*n**3 + 1 + 2/3*n - 2/3*n**s. Factor u(q).
2*(q - 1)**2/3
Let c(g) be the second derivative of -8*g - 1/2*g**3 + 6/5*g**2 + 0 + 1/20*g**4. Find n such that c(n) = 0.
1, 4
What is y in 1/2*y**3 - 17*y**2 - 16 + 65/2*y = 0?
1, 32
Let f(o) = -2 + 1 + 5*o + 3 - 4. Let z be f(1). Factor -12*s**2 + 45*s**z + 4*s**2 + 25*s**3 - 8*s.
2*s*(5*s - 2)*(7*s + 2)
Let h(y) be the second derivative of -y**5/5 + 35*y**4 - 2450*y**3 + 85750*y**2 + 26*y. Factor h(q).
-4*(q - 35)**3
Let t(o) = -4*o**2 - 30*o - 45. Let n(c) be the first derivative of -c**3/3 - 33. Let d(x) = -n(x) - t(x). Factor d(p).
5*(p + 3)**2
Let d(t) = -2*t**4 - 10*t**3 + 2*t**2 + 22*t. Let a(n) = 3*n**4 + 9*n**3 - 3*n**2 - 24*n. Let f(x) = -4*a(x) - 5*d(x). Let f(l) = 0. Calculate l.
-1, 0, 1, 7
Let z = 1 + -4. Let u be z*(-6)/(-9)*-2. Factor -4*a**4 + u*a**5 - 6*a**5 - 4*a**5.
-2*a**4*(3*a + 2)
Let m = 2450 - 2444. Let j(z) be the third derivative of 0 + 0*z + 1/420*z**m + 0*z**4 + 0*z**3 + 8*z**2 + 0*z**5. Determine o so that j(o) = 0.
0
Let s(t) = 8*t**4 - 13*t**3 + 4*t**2 + t + 3. Let q(j) = 4*j**4 + j**4 + 4*j**2 + 4 - 13*j**3 - 2*j**4 + 6*j**4. Let n(f) = 3*q(f) - 4*s(f). Solve n(b) = 0.
-2/5, 0, 1, 2
Suppose 0 = -87*y + 86*y + 14. Suppose 2*w - y*w = -24. Suppose -w*u - 3/2 - 1/2*u**2 = 0. What is u?
-3, -1
Let f(l) be the second derivative of -l**4/30 - 121*l**3/15 - 24*l**2 - 462*l. Suppose f(i) = 0. What is i?
-120, -1
Let w(k) = k**2 - 1. Let h(f) = -f**2 + 24*f + 25. Let u(i) = -3*h(i) - 6*w(i). Solve u(s) = 0.
-23, -1
Let o(m) be the second derivative of -1/8*m**3 + 0*m**2 + 10*m + 0 - 3/80*m**5 - 1/8*m**4. Factor o(s).
-3*s*(s + 1)**2/4
Factor 0 + 25*y**3 + 0*y**2 + 0*y - 5/6*y**4.
-5*y**3*(y - 30)/6
Determine q so that -128/7 + 16*q - 4/7*q**3 - 16/7*q**2 = 0.
-8, 2
Suppose 13*f = -13*f. Let y(m) be the second derivative of -2*m + f*m**3 + 1/6*m**4 + 0*m**2 + 0 - 1/10*m**5. Solve y(n) = 0.
0, 1
Let m = 11305/6 + -1884. Let h(l) be the second derivative of -2*l**3 + 9*l**2 + m*l**4 + 0 - l. Let h(u) = 0. Calculate u.
3
Let r = -429 + 435. Determine l so that 9/2*l**4 + 0 - r*l**3 - 3/2*l**2 + 3*l = 0.
-2/3, 0, 1
Let z(n) = -2*n**2 - 34*n - 24. Let g be z(-16). Let s be ((-224)/g)/(-7)*(-5)/(-26). What is j in 0*j + 16/13*j**3 - s*j**4 + 0 + 2/13*j**5 - 8/13*j**2 = 0?
0, 1, 2
Suppose -15*q + 5*q + 130 = 0. Let m be 53/30 + q/(-78). Suppose 6/5*l**3 + 1/5*l**4 + 0 + 12/5*l**2 + m*l = 0. What is l?
-2, 0
Let j(v) = -12*v**3 + 123*v**2 - 30*v - 186. Let t(g) = -3*g**3 + 31*g**2 - 7*g - 46. Let l(s) = 5*j(s) - 21*t(s). Factor l(h).
3*(h - 12)*(h - 1)*(h + 1)
Let w(b) = -9*b**4 - 3*b**3 - 35*b**2 - b - 16. Let y(q) = q**4 - q**3 + 2*q**2 - q + 2. Let a(i) = -5*w(i) - 40*y(i). Factor a(f).
5*f*(f + 1)**2*(f + 9)
Find j such that 9/4*j - 33/8*j**4 + 0 + 27/2*j**3 - 93/8*j**2 = 0.
0, 3/11, 1, 2
Let v = -147082 + 13678753/93. Let m = v - 1/31. Factor -4/3*p**2 - m*p**4 - 2*p**3 - 1/3*p + 0 - 1/3*p**5.
-p*(p + 1)**4/3
Let y be (-1)/(-4) - 36/(-144). Let p(g) be the second derivative of y*g**5 + 2*g + 0*g**2 - 5/12*g**4 - 1/6*g**6 + 0 + 0*g**3. Suppose p(h) = 0. What is h?
0, 1
Let y(v) = -v**3 + 60*v**2 - 277*v + 10. Let s be y(5). Solve 1/7*f**2 + 3/7*f**3 + 0*f + s = 0 for f.
-1/3, 0
Let h = -90/17 - -501/85. Determine r, given that -2/5*r**2 + 0 + h*r**3 - 1/5*r = 0.
-1/3, 0, 1
Let v be 16 + -2 + 4 + -2. Let d = v - 9. Factor -2*a - 2 + 13*a - d*a**5 - 14*a**2 + 16*a**4 + 33*a**3 - 37*a**3.
-(a - 1)**3*(a + 1)*(7*a - 2)
Suppose 0*w + 4*w - 26 = -3*n, -n - w + 7 = 0. Factor -5*f + 5*f**n + 5*f + 10*f.
5*f*(f + 2)
Let i = 295 + -295. Let y(b) be the first derivative of 0*b**2 + 1/15*b**5 + 0*b**4 - 1/9*b**3 + i*b + 5. Suppose y(p) = 0. What is p?
-1, 0, 1
Let d(m) be the third derivative of -m**6/240 - m**5/20 - m**4/6 + 523*m**2. Find z, given that d(z) = 0.
-4, -2, 0
Let h(s) be the third derivative of 0*s + 23/2*s**4 - 4/3*s**3 + 12167/120*s**6 + 0 - 529/10*s**5 - 44*s**2. Factor h(z).
(23*z - 2)**3
Let d(h) be the third derivative of -h**7/90 - 2*h**6/45 - h**5/45 - 3*h**2 + 14*h. What is f in d(f) = 0?
-2, -2/7, 0
Let n be (-91)/(-21) - 4/(-6). Suppose -4*g - 2 = -n*g. Factor 3 - 2 - 7 + 2*q**g - 2.
2*(q - 2)*(q + 2)
Let a(m) be the second derivative of 5*m**3 + 0*m**2 - 7/6*m**6 + 0 + 125/12*m**4 + 3*m**5 - 3*m. Factor a(g).
-5*g*(g - 3)*(g + 1)*(7*g + 2)
Let c = 24 + 0. Let u be ((-2)/6)/(c/(-18)). Find l, given that 1/4*l**2 - u + 0*l = 0.
-1, 1
Solve -22 - 145*i**2 - 4*i**3 + 121*i**2 + 3*i**3 - 12*i - 33*i = 0 for i.
-22, -1
Let d(z) be the first derivative of z**4/16 - 7*z**3/6 - 17*z**2/2 - 18*z - 130. Let d(w) = 0. Calculate w.
-2, 18
Let o = 9435719/1650 - 62910/11. Let i = 2/75 - o. Solve 1/4*t**3 + 1/4*t + 0 + i*t**2 = 0 for t.
-1, 0
Let n(a) be the third derivative of a**7/105 - 2*a**6/15 + 11*a**5/30 + 2*a**4/3 - 4*a**3 - a**2 - 361*a. Determine p so that n(p) = 0.
-1, 1, 2, 6
Factor -2/9*x**4 + 0 - 10/9*x**2 + 16/9*x**3 - 28/9*x.
-2*x*(x - 7)*(x - 2)*(x + 1)/9
Let g(i) be the first derivative of -i**4/4 - 2*i**3 + 4*i + 3. Let a be g(-6). Factor 0 + 2/3*b**5 + 0*b + 4/3*b**a + 2/3*b**3 + 0*b**2.
2*b**3*(b + 1)**2/3
Find l such that 0 + 6/11*l**3 - 90/11*l + 12/11*l**2 = 0.
-5, 0, 3
Let d(w) = -5*w**5 + 6*w**4 + 36*w**3 - 52*w**2 + 15*w. Let l(n) = 15*n**5 - 17*n**4 - 107*n**3 + 154*n**2 - 45*n. Let o(p) = -17*d(p) - 6*l(p). Factor o(i).
-5*i*(i - 1)**3*(i + 3)
Let y(h) be the third derivative of -h**5/12 + 25*h**4/12 + 55*h**3/6 - 81*h**2. Factor y(f).
-5*(f - 11)*(f + 1)
Factor -54*n**2 + 55*n**2 + 38*n + 11*n + 64*n + 56*n - 170.
(n - 1)*(n + 170)
Factor 0 + 1/5*f**3 + 1/5*f**4 - 1/5*f**5 - 1/5*f**2 + 0*f.
-f**2*(f - 1)**2*(f + 1)/5
Let i = 400 + -400. Let l(j) be the second derivative of 8*j - 1/3*j**4 - 1/21*j**7 - j**3 + 0 + i*j**6 + 2/5*j**5 + 2*j**2. Solve l(k) = 0 for k.
-2, -1, 1
Let j(h) be the first derivative of 5/8*h**4 + h + 3/2*h**3 + 7/4*h**2 + 4 + 1/10*h**5. Let j(c) = 0. What is c?
-2, -1
Let f(r) = -r**2 - 11*r - 10. Let p(c) = 2*c**2 + 32*c + 30. Suppose -5*x - 3*a + 19 + 15 = 0, x = 4*a + 16. Let h(l) = x*f(l) + 3*p(l). Factor h(v).
-2*(v - 5)*(v + 1)
Suppose -51*f = -61 - 41. Factor 0 + 18/5*d**3 + f*d**5 + 0*d + 4/5*d**2 + 24/5*d**4.
2*d**2*(d + 1)**2*(5*d + 2)/5
Let y = 28 - 34. Let o be ((-6)/4)/(3/y). Factor 13*n**2 + 2*n**4 - 25*n - 2*n - 4*n**2 + 15*n**o + n**4.
3*n*(n - 1)*(n + 3)**2
Let c(y) be the second derivative of -49*y**6/10 + 693*y**5/80 + 45*y**4/4 + 7*y**3/2 - 211*y + 2. What is a in c(a) = 0?
-2/7, 0, 7/4
Let 284/3 + 142/3*s**3 - 430/3*s - 2/3*s**4 + 2*s**2 = 0. Calculate s.
-2, 1, 71
Factor 2/7*l - 2/7*l**2 + 4/7.
-2*(l - 2)*(l + 1)/7
Let u(t) be the first derivative of t**4 + 2/5*t**5 + 0*t**2 + 9 + 0*t**3 + 0*t. Factor u(o).
2*o**3*(o + 2)
Let s(c) = -5*c**4 + 110*c**3 - 1566*c**2 + 1458*c. Let y(n) = 44*n**4 - 990*n**3 + 14094*n**2 - 13122*n. Let v(i) = -52*s(i) - 6*y(i). Factor v(u).
-4*u*(u - 27)**2*(u - 1)
Let x(s) = -23*s**3 - 384*s**2 + 68*s + 11. Let h(u) = -5*u**3 - 77*u**2 + 14*u + 2. Let r(q) = -22*h(q) + 4*x(q). Factor r(b).
2*b*(b + 9)*(9*b - 2)
Let w(u) be the second derivative of 15*u**5/2 - 145*u**4/4 + 66*u**3 - 54*u**2 + 144*u. Determine y, given that w(y) = 0.
1/2, 6/5
Let x(m) be the first derivative of -2/105*m**5 - 1/210*m**6 + 0*m**3 + 2 + 0*m + 3/2*m**2 - 1/42*m**4. Let p(l) be the second derivative of x(l). Factor p(k).
-4*k*(k + 1)**2/7
Suppose 222 - 148 = 37*a. Find l such that 7/5*l**3 + l**4 + 0*l + 2/5*l**a + 0 = 0.
-1, -2/5, 0
Suppose 3*k = -k + 4. Let w(s) = -s**3 - s**2 + 1. Let v(c) = c**4 + 6*c**3 + 2*c**2 - c - 3. Let h be 5/((-5)/3) + 8. Let z(t) = h*w(t) + k*v(t). Factor z(l).
(l - 1)**2*(l + 1)*(l + 2)
Factor 18 + 39/2*y**3 + 111/2*y**2 + 109/2*y + 1/2*y**4.
(y + 1)**3*(y + 36)/2
Suppose -2*n = -3*t + 16, -t - 5*n - 6 = -0. Let h(s) be the second derivative of 2/9*s**3 + s + 1/18*s**t + 0 + 0*s**2. What is l in h(l) = 0?
-2, 0
Let u(f) be the second derivative of -13*f + 1/28*f**5 + 1/42*f**4 + 0 + 1/294*f**7 + 2/105*f**6 + 0*f**3 + 0*f**2. Solve u(l) = 0 for l.
-2, -1, 0
Let z(a) be the second derivative of -a**4/54 + 7*a**3/27 - 10*a**2/9 + 24*a + 1. Suppose z(i) = 0. What is i?
2, 5
Let d(h) be the first deriv