 0?
-1, 4
Let u(p) be the third derivative of 0*p**6 + 0 + 0*p - 1/120*p**5 + 1/840*p**7 - 8*p**2 + 0*p**4 + 1/24*p**3. Suppose u(n) = 0. What is n?
-1, 1
Let j(q) be the third derivative of q**8/896 - 9*q**7/560 + 7*q**6/160 + q**5/80 - 15*q**4/64 + 7*q**3/16 + 20*q**2. Factor j(s).
3*(s - 7)*(s - 1)**3*(s + 1)/8
Let x(m) be the first derivative of m**4/22 - 2*m**3/33 - 12*m**2/11 - 57. Solve x(y) = 0.
-3, 0, 4
Let u be 1/((-15)/90)*(-1)/4 - 0. Determine g so that g - 3/2*g**2 + g**5 + u*g**4 - 2*g**3 + 0 = 0.
-2, -1, 0, 1/2, 1
Let d(z) be the second derivative of -z**4/24 - 5*z**3/6 - 9*z**2/4 - 5*z - 2. Determine r, given that d(r) = 0.
-9, -1
Let h(l) be the first derivative of -2*l**5/15 - 5*l**4/9 - 25*l**3/27 - 19*l**2/2 + 18. Let i(z) be the second derivative of h(z). Solve i(n) = 0 for n.
-5/6
Suppose -3*k = 5*g - 6*k - 24, -5*g = 2*k - 9. Let o = g - -2. Factor -2/7*w**o + 0*w - 2/7*w**4 + 2/7*w**2 + 0 + 2/7*w**3.
-2*w**2*(w - 1)*(w + 1)**2/7
Let d be (-439)/7 - ((-5)/(-5) - 1). Let r = d - -63. Suppose 2/7*j + r*j**2 - 4/7 = 0. Calculate j.
-2, 1
Let j(n) = 5*n - 68. Suppose -28 = -5*u + 42. Let a be j(u). Factor -2*f**2 + 0*f + a*f**3 - 1/2*f**4 + 0.
-f**2*(f - 2)**2/2
Let g(q) be the second derivative of -q**6/135 + q**4/27 - q**2/9 - 254*q. Factor g(o).
-2*(o - 1)**2*(o + 1)**2/9
Let q(p) be the second derivative of p**7/2520 - p**5/120 - p**4/2 - 14*p. Let j(f) be the third derivative of q(f). Factor j(w).
(w - 1)*(w + 1)
Let v be 3 - (1 + 82/42). Let h(g) be the second derivative of 0*g**2 - 1/42*g**4 + 6*g + 1/105*g**6 + v*g**3 - 1/70*g**5 + 0. Solve h(p) = 0 for p.
-1, 0, 1
Solve -5/6*l**2 + 10 + 5/6*l = 0 for l.
-3, 4
Let g = -23 + 26. Suppose 2*p**5 + 12*p**g - 9*p**3 - 5*p**3 + 0*p**5 = 0. Calculate p.
-1, 0, 1
Let y(q) be the first derivative of 2*q**3/3 + 41*q**2 - 84*q - 219. Find l such that y(l) = 0.
-42, 1
Factor -126/11*c - 464/11*c**3 - 192/11*c**4 - 368/11*c**2 + 32/11*c**5 - 16/11.
2*(c - 8)*(2*c + 1)**4/11
Let h be (60/(-160) - (-98)/(-16)) + 7. Let a(b) be the second derivative of -7/18*b**3 - 8*b + h*b**2 + 0 + 5/36*b**4 - 1/60*b**5. What is w in a(w) = 0?
1, 3
Find l, given that -14/5*l**3 + 96/5 - 346/5*l**2 - 236/5*l = 0.
-24, -1, 2/7
Suppose -6*q + 11*q = 20, 4*t + 3*q = 32. Let z be (-18)/(-30) + 7/t. Factor -1/8*y**z + 0 + 1/8*y.
-y*(y - 1)/8
Let h = -379 + 592. Let z = h - 213. Find i, given that z + 4/7*i**4 + 0*i**2 - 6/7*i**3 + 2/7*i = 0.
-1/2, 0, 1
Suppose -7 = 45*t - 7. Let k(l) be the second derivative of -4*l + t + 1/35*l**5 + 0*l**2 + 1/105*l**6 - 2/21*l**3 - 1/42*l**4. Suppose k(d) = 0. Calculate d.
-2, -1, 0, 1
Determine g so that 1009*g - 61*g**3 + 560*g**2 + 4*g**4 + 149*g**3 - 209*g = 0.
-10, -2, 0
Let o(i) be the third derivative of -i**6/120 - i**5/40 - 10*i**3/3 - 5*i**2. Let w(c) be the first derivative of o(c). Determine y so that w(y) = 0.
-1, 0
Let c(h) be the first derivative of -1/7*h**2 + 0*h**3 - 4*h + 1/42*h**4 - 1. Let i(f) be the first derivative of c(f). Suppose i(j) = 0. What is j?
-1, 1
Suppose 32*u = -3*u + 7*u + 140. Determine d, given that 4/3*d**2 - 4*d**4 + 0*d - 10/9*d**u + 0 - 14/9*d**3 = 0.
-3, -1, 0, 2/5
Let g(w) = -w**2 + 9*w - 6. Let b be ((-24)/(-2 + 0))/2. Let f be g(b). Factor q**2 + f + 8 + 3*q - 18.
(q + 1)*(q + 2)
Let z be 1/(3 + 56/(-20)). Factor -8*v**5 - 4*v**3 + 6*v**z + 10*v**2 - 9*v**2 + 5*v**4.
-v**2*(v - 1)**2*(2*v - 1)
Let b(p) = p**3 - 12*p**2 + 11*p + 3. Let d be b(11). Factor -d*g**4 - g**4 + 0*g**2 + 0*g**4 + 4*g**2 + 20*g - 20*g**3.
-4*g*(g - 1)*(g + 1)*(g + 5)
Let v(r) = 51*r**2 + 10*r - 16. Let w(u) = 51*u**2 + 11*u - 20. Let a(d) = -5*v(d) + 4*w(d). Factor a(f).
-3*f*(17*f + 2)
Factor -8/5 + 2/5*w + 1/5*w**2.
(w - 2)*(w + 4)/5
Let d(r) = 5*r**2 - r - 4. Let v(i) = 6*i**3 - 2*i + 1. Let m be v(1). Let o(b) = -6*b**2 + 5. Let q(n) = m*d(n) + 4*o(n). Factor q(y).
y*(y - 5)
Let k(i) be the first derivative of -5*i**4/4 + 65*i**3/3 + 160*i**2 + 340*i + 98. Factor k(c).
-5*(c - 17)*(c + 2)**2
Let u = -56 + 61. Find a such that 5*a**u - 120 + 20*a**4 - 20*a**2 + 15*a**3 + 120 - 20*a = 0.
-2, -1, 0, 1
Let i(r) = -8*r**4 + 5*r**2. Let m(v) = 9*v**4 - v**3 - 6*v**2. Let x(t) = t**2 + 5*t - 9. Let q be x(-6). Let f(o) = q*m(o) - 4*i(o). Factor f(z).
z**2*(z + 1)*(5*z - 2)
Let o(s) be the first derivative of 2*s**2 - 3/4*s**4 + 0*s - 7 + 0*s**3 - 1/5*s**5. Factor o(r).
-r*(r - 1)*(r + 2)**2
Let c(m) = -125*m - 15. Let b(o) = 9*o + 1. Let l(u) = 55*b(u) + 4*c(u). Let f be l(-1). Suppose 0 + 1/3*a**2 + f*a = 0. What is a?
0
Suppose 685 = v + 82. Suppose v + 624 = 3*s. Factor 4*m**2 - s*m + 409*m.
4*m**2
Let r be ((-24)/(-144))/(1/(-1)) - 14/(-36). Find d such that 0*d + 0*d**2 - r*d**4 + 2/3*d**3 + 0 = 0.
0, 3
Suppose 15 = 4*l - 9. Let d be (-10)/(-6)*(-3 + l). Factor 2 - 2 - 2*i**3 + d*i**5 - 31*i**4 + 34*i**4.
i**3*(i + 1)*(5*i - 2)
Let v(h) be the first derivative of -h**4/48 + h**2/8 + 22*h - 15. Let t(x) be the first derivative of v(x). Suppose t(d) = 0. Calculate d.
-1, 1
Let y = 191 + -381/2. Let z(n) be the second derivative of 0*n**2 + 6*n + y*n**3 + 9/20*n**5 + 0 - 2/7*n**7 + 5/4*n**4 - 1/2*n**6. Suppose z(k) = 0. What is k?
-1, -1/4, 0, 1
Let w(g) = -g**3 - 71*g**2 + 386*g + 456. Let y be w(-76). Find l, given that -4/7*l**3 + 0*l + y + 0*l**2 - 10/7*l**4 = 0.
-2/5, 0
Suppose 5*q = 25 + 110. Suppose -11 = 2*p - 2*f - q, 4 = -2*p - 2*f. Factor 3/2*i + 3*i**p + 3/4*i**4 + 0 + 15/4*i**2.
3*i*(i + 1)**2*(i + 2)/4
Factor 334084/5 + 4/5*s**2 + 2312/5*s.
4*(s + 289)**2/5
What is o in -60/7*o**3 + 0 + 80/7*o - 8/7*o**4 - 16/7*o**2 + 4/7*o**5 = 0?
-2, 0, 1, 5
Let r(g) = -44*g**2 - 62*g - 18. Let m(y) = 5*y**2 + 7*y + 2. Let s(n) = -52*m(n) - 6*r(n). Determine h so that s(h) = 0.
-1
Let r = 85352/554957 + 2/42689. Determine l so that r*l**3 - 24/13*l**2 - 20/13 + 42/13*l = 0.
1, 10
Let t(b) = -7*b**5 + b**4 + b**3 + 3*b**2 - 10*b - 4. Let m(h) = -h**5 + h**4 - 2*h**3 - h - 1. Let l(z) = -4*m(z) + t(z). Find u, given that l(u) = 0.
-2, -1, 0, 1
Let i(q) be the third derivative of q**5/120 - 5*q**4/24 + 25*q**3/12 - 2*q**2 + 143*q. Factor i(h).
(h - 5)**2/2
Let j(b) be the third derivative of 0*b + 1/9*b**4 - 2*b**2 - 5/9*b**3 + 0 + 1/90*b**5. Let j(c) = 0. Calculate c.
-5, 1
Let k(s) be the third derivative of 1/132*s**6 + 0*s + 7/330*s**5 + 1/66*s**4 - s**2 + 0 + 0*s**3. Let k(h) = 0. Calculate h.
-1, -2/5, 0
Let v = 4969 + -4967. Factor 6/5*x**3 + 0*x + 4/5*x**v + 0 + 2/5*x**4.
2*x**2*(x + 1)*(x + 2)/5
Let k(i) be the third derivative of 3/140*i**6 + 0 + 9/140*i**5 + 0*i + 3*i**2 + 0*i**3 + 0*i**4 + 1/490*i**7. Find c, given that k(c) = 0.
-3, 0
Let u be (2/4)/(-29 + (-351)/(-12)). Factor -2/3*k**4 + 0*k**u + 0 + 0*k + 4/3*k**3 - 2/3*k**5.
-2*k**3*(k - 1)*(k + 2)/3
Let i(f) = 123*f**2 - 1086*f - 1209. Let p(h) = -h**3 - 2*h**2 + 2*h + 3. Let x(z) = -i(z) - 3*p(z). Solve x(l) = 0.
-1, 20
Suppose -36*q - 44*q = -1016 + 856. Let j = 2/821 - -48435/1642. Let 2 + j*y**q + 17*y - 63/2*y**4 - 149/4*y**3 + 81/4*y**5 = 0. What is y?
-1, -2/9, 1, 2
Let h(p) be the second derivative of p**7/14 + 2*p**6/5 - 36*p**5/5 + 55*p**4/2 - 97*p**3/2 + 45*p**2 + p + 31. Factor h(k).
3*(k - 3)*(k - 1)**3*(k + 10)
Let f(o) = -o**4 + o**3 + o**2 + 1. Let l(x) = 2*x**5 + 2*x**4 - 8*x**3 - 8. Let b(j) = -8*f(j) - l(j). Suppose b(n) = 0. What is n?
-1, 0, 2
Let 1/3*z**4 + 8/3*z - 8/3*z**3 + 0 - 1/3*z**2 = 0. Calculate z.
-1, 0, 1, 8
Suppose -5*m + a = -4*a + 1155, 0 = -5*m + 4*a - 1152. Let l = m + 1144/5. Find d, given that 2/5*d**5 + 0 - 2/5*d**4 - l*d + 2*d**2 - 6/5*d**3 = 0.
-2, 0, 1
Let j(h) = -h**3 + 4*h**2 + 20*h - 3. Let a be j(-3). Determine q, given that -4/7*q**2 + 4/7*q**3 - 8/7*q + a = 0.
-1, 0, 2
Let g(m) be the first derivative of 3*m**5/5 + 11*m**4/3 + 8*m**3 + 8*m**2 - 10*m - 20. Let y(i) be the first derivative of g(i). Factor y(h).
4*(h + 1)*(h + 2)*(3*h + 2)
Let w(f) be the second derivative of f**5/70 - 55*f**4/14 + 3025*f**3/7 - 166375*f**2/7 - 2*f - 126. Factor w(a).
2*(a - 55)**3/7
Let v(f) = 5*f - 10. Let m(i) = i**2 + 4*i - 9. Let n = -22 + 36. Let w = n + -18. Let z(g) = w*v(g) + 5*m(g). Factor z(k).
5*(k - 1)*(k + 1)
Let g = 27 + -21. Suppose 5*q = -8*y + 3*y + 20, q - y = g. Determine s, given that -5*s**2 + 7 + 3 + 0 + q*s = 0.
-1, 2
Let q be ((