 0, 2/9
Find h such that -6*h**3 + 147*h**2 + 2*h**4 - 126*h - 45*h**2 - 9*h**3 - 11*h**3 = 0.
0, 3, 7
Let d be 1/3*-9*(7 + -8). Suppose -d*g - 7 = -4*g + o, -22 = -4*g + 2*o. Solve 0 + 2/3*i**g + 2/3*i**2 + 4/3*i**3 + 0*i = 0.
-1, 0
Suppose 0 = -l - 4*y + 12, 20*l - 3*y = 18*l - 9. Suppose 4/15 + l*x**2 + 2/5*x - 2/15*x**3 = 0. What is x?
-1, 2
Let n(p) = -33*p**5 + 12*p**3 + 21*p + 21. Let r(v) = 9*v**5 - 5 - 3*v**3 + 0 - v**5 - 5*v. Let g(m) = -5*n(m) - 21*r(m). Factor g(d).
-3*d**3*(d - 1)*(d + 1)
Let p(j) be the third derivative of j**7/840 - j**6/60 + 23*j**5/240 - 7*j**4/24 + j**3/2 + 2*j**2 - 21*j. Suppose p(t) = 0. What is t?
1, 2, 3
Let c = 8 - -6. Factor c*j**2 - 5*j**3 + 15 + 6*j**2 + 12*j**2 - 7*j**2 - 35*j.
-5*(j - 3)*(j - 1)**2
Let f(b) be the first derivative of -12/5*b**5 - 16*b**2 - 41 - 8/3*b**3 + 0*b + 13*b**4. Factor f(i).
-4*i*(i - 4)*(i - 1)*(3*i + 2)
Let a = -1110 + 1112. Let l(x) be the first derivative of x**a - 4 + 1/3*x**3 - 3*x. Let l(u) = 0. What is u?
-3, 1
Let h = 62 - 67. Let m be 654/120 + h + 1/(-5). Factor -1/4*z - 1/2*z**2 + 1/4*z**4 + 1/2*z**3 - m*z**5 + 1/4.
-(z - 1)**3*(z + 1)**2/4
Let h(f) = f**4 - 2*f**3 - f**2 - f - 1. Let n(j) = -6*j**4 + 6*j**3 + 39*j**2 - 45*j + 3. Let i(o) = 3*h(o) + n(o). Let i(b) = 0. What is b?
-4, 0, 2
Suppose -26 = -3*a - 4*h + 2*h, 2*a - h - 8 = 0. Let k(z) = 2*z**3 - 13*z**2 + 4*z + 12. Let i be k(a). Find o such that 2/3*o**3 + 0 - 2/3*o + i*o**2 = 0.
-1, 0, 1
Let n(r) be the first derivative of 2*r**5/85 + r**4/17 + 469. Factor n(o).
2*o**3*(o + 2)/17
Suppose 0 = -5*z - 20, -2*d - 23*z = -19*z. Let t(m) be the second derivative of 3/2*m**3 - 3*m**2 + 0 + d*m - 1/4*m**4. Suppose t(v) = 0. Calculate v.
1, 2
Let j(h) be the third derivative of -h**5/240 + 25*h**4/48 - 625*h**3/24 + 123*h**2. Suppose j(w) = 0. What is w?
25
Suppose 3*k - 3*z + 6 = 0, -3*k - 28*z + 2 = -27*z. Factor -2/3*y**3 + 0 + 2/3*y + k*y**2.
-2*y*(y - 1)*(y + 1)/3
Let q(d) be the first derivative of 14/3*d**3 - 6/5*d**5 + 25 + d**4 + 0*d + 2*d**2. Factor q(i).
-2*i*(i - 2)*(i + 1)*(3*i + 1)
Let w(h) be the second derivative of -2*h**5/35 - 5*h**4/14 - 8*h**3/21 + 3*h**2/7 - 113*h - 1. Factor w(v).
-2*(v + 1)*(v + 3)*(4*v - 1)/7
Let x(o) be the third derivative of -o**5/360 + 7*o**4/48 - 70*o**2. Determine t so that x(t) = 0.
0, 21
Let z(m) be the second derivative of 14*m - 1/70*m**5 - 1/105*m**6 + 0 + 4/21*m**3 + 0*m**2 + 2/21*m**4. What is a in z(a) = 0?
-2, -1, 0, 2
Let h(r) be the third derivative of -r**7/105 + r**6/300 - 132*r**2. Determine p so that h(p) = 0.
0, 1/5
Let l(n) = -n**2. Suppose -7*p + 0 - 70 = 0. Let a(f) = 20*f**3 - 15*f**2 + 5*f. Let z(s) = p*l(s) - a(s). Find x, given that z(x) = 0.
0, 1/4, 1
Let o(v) be the first derivative of -1/4*v**2 + 1/8*v**4 - v - 15 + 1/2*v**3 - 1/10*v**5. Determine b so that o(b) = 0.
-1, 1, 2
Let a(m) be the third derivative of -m**5/90 - 13*m**4/9 - 676*m**3/9 - 29*m**2. What is u in a(u) = 0?
-26
Let t(f) be the first derivative of -2*f**5/5 - f**4/2 + 2*f**3 + 5*f**2 + 4*f + 27. Find o such that t(o) = 0.
-1, 2
Factor -6 + 7*k**2 - 16*k**2 - 56*k + 0 - 6.
-(k + 6)*(9*k + 2)
Let t(b) be the third derivative of 1/24*b**6 + 0*b**7 + 0*b**4 + 0*b**3 - 5/336*b**8 - 6*b**2 + 0*b + 0 + 0*b**5. Solve t(k) = 0 for k.
-1, 0, 1
Let o(w) = 6*w**3 - 36*w**2 + 39*w - 18. Let n(i) = -i**4 - i - 1. Let r(l) = 3*n(l) - o(l). Solve r(m) = 0 for m.
-5, 1
Let a = -1/2934 - -24451/2934. Let i(h) be the first derivative of 155/4*h**4 + 15/2*h**6 - 33*h**5 + a*h**3 + 20*h - 40*h**2 + 12. Solve i(b) = 0 for b.
-2/3, 1/3, 1, 2
Let 95*b - 4*b**2 + 92*b - 195*b = 0. Calculate b.
-2, 0
Let d(s) be the third derivative of s**7/420 - s**6/48 + s**5/20 - 55*s**2. Factor d(w).
w**2*(w - 3)*(w - 2)/2
Let j(p) be the first derivative of 4/3*p**3 + 2/45*p**5 - 7/18*p**4 - 20/9*p**2 + 16/9*p - 12. What is l in j(l) = 0?
1, 2
Let a(c) be the first derivative of -c**7/105 + c**5/30 + 5*c**2/2 + 10. Let m(q) be the second derivative of a(q). Factor m(n).
-2*n**2*(n - 1)*(n + 1)
Let z(o) be the first derivative of -2*o**3/3 - 13*o**2 - 60*o + 371. Suppose z(g) = 0. Calculate g.
-10, -3
Let j be (-14509)/(-110) + (-6)/(-10). Let z = j + -131. Factor z*f**2 - 3/4*f**4 + 0*f + 3/4*f**3 + 0.
-3*f**2*(f - 2)*(f + 1)/4
Let a(u) be the third derivative of 14*u**2 + 0*u**3 - 1/40*u**6 + 0 + 0*u + 1/30*u**5 + 0*u**4. Factor a(f).
-f**2*(3*f - 2)
Let p(r) be the second derivative of 0*r**2 + 0 + 0*r**3 + 0*r**4 - 1/15*r**5 + 13*r. Find q, given that p(q) = 0.
0
Let 2/7*q**3 + 4/7*q**2 + 0*q + 0 = 0. Calculate q.
-2, 0
Let l(j) be the second derivative of -j**4/60 + 38*j**3/15 + 31*j. Factor l(w).
-w*(w - 76)/5
Let n(b) be the third derivative of b**7/525 + b**6/25 + b**5/5 - 5*b**4/3 - 25*b**3 + 48*b**2. Factor n(a).
2*(a - 3)*(a + 5)**3/5
Let c(z) = -46*z + 371. Let d be c(8). Find s, given that 0 - 13/7*s**d - 12/7*s**2 - 1/7*s**5 - 4/7*s - 6/7*s**4 = 0.
-2, -1, 0
Let k(p) be the first derivative of 0*p**3 + 0*p**2 + 2/5*p**5 + 5 + 0*p + 1/2*p**4. Factor k(t).
2*t**3*(t + 1)
Let g(x) be the first derivative of -4 + x**4 + 2/5*x**5 - 8/3*x**3 + 6*x - 2*x**2. Factor g(f).
2*(f - 1)**2*(f + 1)*(f + 3)
Let n = 277/20 + -55/4. Let l(z) be the second derivative of 0*z**2 + n*z**5 + 0 - z - 1/3*z**3 - 1/15*z**6 + 1/6*z**4. Factor l(k).
-2*k*(k - 1)**2*(k + 1)
Let d(h) be the third derivative of -h**7/210 - 7*h**6/40 - 19*h**5/20 - 55*h**4/24 - 3*h**3 + 3*h**2 + 24. Factor d(g).
-(g + 1)**3*(g + 18)
Let v(w) be the second derivative of 3*w - 1/6*w**4 - 8/3*w**3 + 0 - 16*w**2. Factor v(c).
-2*(c + 4)**2
Let n(v) = 4*v**2 - 5*v - 4. Let h be n(5). Factor -5 - 21*d**2 + 11*d**2 - h*d - 50 - 44*d.
-5*(d + 11)*(2*d + 1)
Let t(a) be the first derivative of 5*a**3/12 + a**2/8 - 71. Factor t(j).
j*(5*j + 1)/4
Let a = -40739/70 - -582. Let i(c) be the third derivative of 0*c**4 - 7*c**2 + 0 + 0*c**3 + 1/120*c**6 + 1/30*c**5 - a*c**7 + 0*c. Factor i(l).
-l**2*(l - 1)*(3*l + 2)
Let g(y) = -2*y**2 - 58*y + 65. Let w(u) = -1. Let z(r) = 2*g(r) + 10*w(r). Determine h, given that z(h) = 0.
-30, 1
Let s(r) be the second derivative of 0 - 5/18*r**3 - 5*r + 1/36*r**4 + 2/3*r**2. Determine m, given that s(m) = 0.
1, 4
Let n = -147007/15 - -9807. Let -826/15*t**4 - 128/15 - 296/15*t**2 - 704/15*t + 1856/15*t**3 + n*t**5 = 0. What is t?
-2/7, 1, 4
Let l(y) be the first derivative of -y**4/4 + y**3/12 + y**2/2 - y/4 + 80. Determine m, given that l(m) = 0.
-1, 1/4, 1
Let x(v) = 4*v**4 + 2*v**3 + 3*v + 3. Let k(a) = -a**4 - a**3 - a - 1. Let m(g) = 15*k(g) + 5*x(g). Factor m(f).
5*f**3*(f - 1)
Let x be (112/35 + -2)*(32/(-72))/(-4). Factor x*o**5 - 2/15*o**3 + 0 + 0*o - 2/15*o**2 + 2/15*o**4.
2*o**2*(o - 1)*(o + 1)**2/15
Let z(u) be the first derivative of -u**7/525 + u**5/75 - u**3/15 + 5*u**2 - 8. Let f(n) be the second derivative of z(n). Let f(h) = 0. Calculate h.
-1, 1
Let t(f) = 2*f + 16 - f**3 + 9*f**2 - 34 + 16. Let g be t(4). Factor -r**2 + g - r**4 - 86 - 2*r**3.
-r**2*(r + 1)**2
Let j = 142 - 324. Let y be (-42)/189 + j/(-9). Solve -29*g - 6 + 40*g - 3*g**2 - y*g = 0.
-2, -1
Let k(m) be the first derivative of 4/9*m**3 + 2/3*m - 2/5*m**5 + 19 + m**2 - 1/9*m**6 - 1/3*m**4. Factor k(x).
-2*(x - 1)*(x + 1)**4/3
Let l = -780 + 7028/9. Factor 4/3*q**2 - 16/9 + 2/9*q**4 + l*q - 10/9*q**3.
2*(q - 2)**3*(q + 1)/9
Let t(b) = -b**3 + b. Let l(u) = 2*u**3 - 6*u**2 + 4*u - 3. Let v(j) = j**2 - j - 1. Let n(g) = l(g) - 3*v(g). Let f(p) = 3*n(p) - 15*t(p). Factor f(s).
3*s*(s - 1)*(7*s - 2)
Let t(y) = -5*y**4 - 12*y**3 + 15*y**2 - 10*y. Let q(r) = -14*r**4 - 35*r**3 + 44*r**2 - 29*r. Let o(g) = -6*q(g) + 17*t(g). Factor o(d).
-d*(d - 4)*(d - 1)**2
Let a(s) be the first derivative of -s**4/20 - 237*s**3/5 - 168507*s**2/10 - 13312053*s/5 + 954. Solve a(g) = 0 for g.
-237
Let y(m) = -m**2 + 19*m - 1. Let u be y(19). Let p be u + ((-4)/16 - 5/(-4)). Let 0 + 2/7*t**4 + 0*t**3 - 2/7*t**2 + p*t = 0. What is t?
-1, 0, 1
Let g be 6*85/495*36. Let h = g + -1941/55. Factor -3*d**2 + 3/5*d**3 - h + 21/5*d.
3*(d - 3)*(d - 1)**2/5
Let v(r) be the first derivative of r**3 + 21*r**2/2 + 30*r - 62. Factor v(p).
3*(p + 2)*(p + 5)
Let k = -2 + 2. Let p = k - -4. Suppose -m**p - m**3 + 2*m**3 - 4*m**3 + 2*m**3 = 0. What is m?
-1, 0
Let g = 14 + -1