 - b**2 - 25*b + 1. Let d be 5*-2*(-6)/15. Let x(f) = -5*f**3 - f**2 - 12*f. Let n(o) = d*m(o) - 9*x(o). What is c in n(c) = 0?
-2, -1
Let r(t) be the first derivative of -3/25*t**5 + 5 - 6/5*t**2 + 0*t - 3/4*t**4 - 8/5*t**3. What is q in r(q) = 0?
-2, -1, 0
Let s be (-1)/(-3)*(4 - 85/25). Find d such that 0 - 1/5*d + 1/5*d**3 - s*d**2 + 1/5*d**4 = 0.
-1, 0, 1
Let d(c) be the second derivative of 1/48*c**4 + 0 - 1/8*c**2 - 2*c + 0*c**3. Solve d(j) = 0 for j.
-1, 1
Let a(d) = -3*d + 8. Let z be a(-8). Factor 4 - z*m + 2*m**3 + 42*m + 6*m**2 + 2*m**2.
2*(m + 1)**2*(m + 2)
Suppose -16 = 4*m, c + 0*c = -4*m - 16. Let r = 2 - c. Factor -1 - o**4 + 1 - o**3 + o**r + o**5.
o**2*(o - 1)**2*(o + 1)
Let k = -3 + 7. Factor -3*d - 10*d**4 + 5*d**k + 6*d**2 - d**4 + 3*d**5.
3*d*(d - 1)**3*(d + 1)
Let u = -30 + 61/2. Let i = 2 + -2. Let -u*p**2 + 0 + i*p + 0*p**3 + 1/2*p**4 = 0. What is p?
-1, 0, 1
Let n(j) be the third derivative of -j**7/105 + j**6/30 - j**4/6 + j**3/3 + 5*j**2. Let n(b) = 0. Calculate b.
-1, 1
Let g(a) be the third derivative of -1/315*a**7 - 1/2016*a**8 + 0*a**3 - 1/144*a**4 - 1/90*a**5 + 0*a - 2*a**2 + 0 - 1/120*a**6. Factor g(c).
-c*(c + 1)**4/6
Let k(n) be the third derivative of -13/315*n**7 + 1/126*n**8 - 7/90*n**5 + 1/36*n**4 + 0*n + 0 + 0*n**3 + 1/12*n**6 + 2*n**2. Factor k(i).
2*i*(i - 1)**3*(4*i - 1)/3
Let g be 5/(-2) - (-175)/(-14). Let i be ((-12)/g)/(2 - 1). Factor -i - 2/5*b**2 - 6/5*b.
-2*(b + 1)*(b + 2)/5
Suppose -52 + 29 - 5*f**2 + 33 - 5*f = 0. Calculate f.
-2, 1
Let b be (-10)/(-6)*28/70. Find d such that b*d - 5/3*d**4 - d**5 + 1/3*d**3 + 5/3*d**2 + 0 = 0.
-1, -2/3, 0, 1
Let u(m) be the third derivative of m**7/245 - 13*m**6/840 - m**5/140 + m**4/14 - 2*m**3/21 + 2*m**2. Let u(y) = 0. What is y?
-1, 1/2, 2/3, 2
What is p in -8/3*p + 0*p**2 + 2/3*p**3 + 0 = 0?
-2, 0, 2
Let q(v) be the second derivative of -3*v**4/8 + v**3/2 - v**2/4 + 11*v. Factor q(z).
-(3*z - 1)**2/2
Suppose j + 4*j - 10 = 0. Factor -j - 4*z**3 - 2*z**3 + 5*z + 2*z**2 + z**3.
-(z - 1)*(z + 1)*(5*z - 2)
Suppose 2*b - 1 = 5. Let r(u) be the second derivative of 1/6*u**4 + u**2 + 0 - u + 2/3*u**b. Solve r(n) = 0 for n.
-1
Suppose 5*l - 3*g - 29 = 0, g = 2*l - 7*l + 17. Let p(d) be the first derivative of -2*d**3 - 3 - 3/4*d**l + 6*d + 3/2*d**2. Factor p(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let m = 656 + -654. Let d be 1/4 - (-1)/4. Suppose -3/2*s**3 + s**m + 0 + d*s = 0. What is s?
-1/3, 0, 1
Let b be (40/(-45))/(6/(-27)). Suppose -4/3*g + 2/3*g**3 - 2*g**b + 0 + 2/3*g**5 + 2*g**2 = 0. What is g?
-1, 0, 1, 2
Let v(w) be the second derivative of -w**7/42 + w**6/5 - 13*w**5/20 + w**4 - 2*w**3/3 + 5*w. Factor v(c).
-c*(c - 2)**2*(c - 1)**2
Let d = 1865/6 + -310. Let j(h) be the second derivative of 3/80*h**5 + 0 + h - h**2 - 7/24*h**4 + d*h**3. Suppose j(n) = 0. Calculate n.
2/3, 2
Suppose 0 = -3*t - 3, 3 - 14 = -5*r + t. Find i such that -1/4*i**r + 1/4 + 0*i = 0.
-1, 1
Let j = -4 - -4. Suppose 2*z + z = j. Factor -p**5 + 2*p**5 + 2*p**2 - 2*p**4 - p + z*p**2.
p*(p - 1)**3*(p + 1)
Let z(t) be the third derivative of t**8/5040 - t**6/540 + t**4/72 - t**3/3 + 2*t**2. Let d(a) be the first derivative of z(a). What is f in d(f) = 0?
-1, 1
Let x(v) be the third derivative of -v**6/320 + v**5/160 + v**4/64 - v**3/16 + v**2. Let x(d) = 0. Calculate d.
-1, 1
Let h = -22 - -16. Let s be h/1*12/(-36). Solve 0 + 6/7*l**s + 2/7*l**3 + 4/7*l = 0 for l.
-2, -1, 0
Suppose -3*u + 35 = -10. Let a be 1 + u/(-6) + 2. Factor a*v**2 + 2 - 2*v.
(v - 2)**2/2
Let k(o) be the first derivative of -o**6/10 + o**4/4 + 2*o + 1. Let p(n) be the first derivative of k(n). Factor p(t).
-3*t**2*(t - 1)*(t + 1)
Let g(f) be the second derivative of f**5/100 - f**4/20 + f**3/10 - f**2/10 + 5*f. Find n, given that g(n) = 0.
1
Suppose 3*p - 2 - 4 = 0. Factor 0*n**2 - 4*n - 45 + 43 - 2*n**p.
-2*(n + 1)**2
Let f = 25 + -49/2. Let 1 - 1/2*j**2 - f*j = 0. What is j?
-2, 1
Let r(j) be the third derivative of j**7/280 - j**6/40 + j**4/2 + j**3/6 + 3*j**2. Let z(y) be the first derivative of r(y). Determine w, given that z(w) = 0.
-1, 2
Let n(h) be the first derivative of h**3/3 - h**2/2 + 20. Factor n(c).
c*(c - 1)
Let j(r) be the third derivative of r**7/210 + r**6/40 + r**5/60 - r**4/8 - r**3/3 + 6*r**2. Solve j(b) = 0.
-2, -1, 1
Suppose -2*d + 3*p = d + 12, 4*d - 12 = -3*p. Factor 24/5*y**4 + d + 0*y - 18/5*y**3 - 2*y**5 + 4/5*y**2.
-2*y**2*(y - 1)**2*(5*y - 2)/5
Let k(r) be the first derivative of -r**6/300 + r**4/60 + r**2 - 1. Let f(t) be the second derivative of k(t). What is g in f(g) = 0?
-1, 0, 1
Suppose 0 = -4*c - 7*z + 2*z - 24, 21 = -5*c - 4*z. Let q(y) = -4*y**3 - y**2. Let v be q(c). Factor -1/2*h + 0 + 0*h**2 + 1/2*h**v.
h*(h - 1)*(h + 1)/2
Let z(r) be the second derivative of -r**6/75 + r**5/25 - r**4/30 - 6*r. Factor z(v).
-2*v**2*(v - 1)**2/5
What is i in 6/7*i**2 + 6/7*i + 2/7 + 2/7*i**3 = 0?
-1
Let a(z) be the second derivative of -z**6/60 - 3*z**5/40 - z**4/24 + z**3/4 + z**2/2 + 9*z. Let a(o) = 0. What is o?
-2, -1, 1
Let c = 39 + -193/5. Suppose -c*f + 0 - 2/5*f**2 = 0. What is f?
-1, 0
Factor -t**2 - 8*t**4 + 2*t**2 - 2*t**2 + 2*t**3 + 7*t**4.
-t**2*(t - 1)**2
Let c = 296/5 + -59. Let t(q) be the first derivative of 3/10*q**4 - 2/15*q**6 + 2/15*q**3 + 0*q - 2/25*q**5 - c*q**2 + 2. Find j such that t(j) = 0.
-1, 0, 1/2, 1
Let r be ((-12)/(-9))/((-2)/(-3)). Determine w so that 3/2 + 3/2*w**r + 3*w = 0.
-1
Let h be (-12)/16*(-6)/9. Solve -h*m + 0 - 2*m**3 - 2*m**2 = 0 for m.
-1/2, 0
Let r be (0 - -1*2) + 2. Factor -r*v**4 - v + 4*v**3 - 4*v**3 + 3*v**4 + v**3 + v**2.
-v*(v - 1)**2*(v + 1)
Solve 15/4*a + 7/4*a**2 + 1/4*a**3 + 9/4 = 0 for a.
-3, -1
Let n(t) be the second derivative of 4*t + 0 + 1/16*t**4 + 0*t**2 + 0*t**3. What is r in n(r) = 0?
0
Suppose 9*q - q - 16 = 0. Solve 1/4*o**q + 0*o - 1/4 = 0 for o.
-1, 1
Let r(d) = 2*d - 1. Let u be r(2). Let t(x) = x**2 - x - 4. Let b be t(u). What is g in -3*g**4 - g + 2*g - b*g**3 + 2*g**2 - g**5 + 1 + 2*g = 0?
-1, 1
Let h(j) be the third derivative of j**6/960 - j**5/480 - j**4/192 + j**3/48 + 6*j**2 - 4. Factor h(l).
(l - 1)**2*(l + 1)/8
Let k(c) be the third derivative of -c**5/75 - c**4/20 + c**2. Factor k(n).
-2*n*(2*n + 3)/5
Determine x so that -10*x**2 - 10*x - 4 + 26*x - 38*x = 0.
-2, -1/5
Let t(u) be the third derivative of 2*u**7/105 + u**6/12 + 3*u**5/80 - 13*u**4/96 + u**3/12 - 16*u**2. Factor t(c).
(c + 1)*(c + 2)*(4*c - 1)**2/4
Let c(q) be the third derivative of 1/180*q**4 - 1/90*q**5 - 6*q**2 + 0*q + 0*q**3 + 1/315*q**7 + 0 + 1/300*q**6 - 1/630*q**8. Find y such that c(y) = 0.
-1, 0, 1/4, 1
Find q such that -1/9*q**3 + 0 + 4/9*q + 0*q**2 = 0.
-2, 0, 2
Let p be 2/(-4)*(20 + 0). Let y = -5 - p. Find c such that 0*c**y + 2*c**5 - 3*c**5 + c**3 = 0.
-1, 0, 1
Let u be 48/(-36)*9/(-28). Let 1/7*i**2 + 4/7*i + u = 0. Calculate i.
-3, -1
Let r(x) be the third derivative of -x**5/480 - x**4/192 + 23*x**2. Factor r(d).
-d*(d + 1)/8
Let j(s) be the first derivative of -4*s**3/21 - 4*s**2/7 + 12*s/7 + 28. Factor j(k).
-4*(k - 1)*(k + 3)/7
Let h(c) = -2*c**2 - 6*c**2 - 2 - 4*c - 2*c**2. Let m(p) = -p**2. Let u(v) = h(v) - 8*m(v). Factor u(l).
-2*(l + 1)**2
Let i(u) be the second derivative of -u**5/70 - u**4/42 + u**3/21 + u**2/7 + 8*u. Factor i(r).
-2*(r - 1)*(r + 1)**2/7
Let a = -1811/12 + 151. Let j(z) be the second derivative of -1/20*z**5 + 0*z**2 + 1/30*z**6 - a*z**4 + 1/6*z**3 + 0 - 2*z. Factor j(h).
h*(h - 1)**2*(h + 1)
Let o(k) be the third derivative of k**5/100 - k**3/10 - 8*k**2. Suppose o(s) = 0. Calculate s.
-1, 1
Let i = 5 - 3. Let j = 8 + -5. Factor -1 - 5/4*o**i - 2*o - 1/4*o**j.
-(o + 1)*(o + 2)**2/4
Suppose -11 = -3*z + s, -2*z + 3*s = -2*s - 16. Factor 2*b**z + b**2 - 3*b**3 + 0*b**3.
-b**2*(b - 1)
Solve -8*k**2 + 24*k**3 - 2*k**4 - 12*k**3 - 10*k**4 + 8*k**3 = 0 for k.
0, 2/3, 1
Let -2/17*b**2 + 0 + 0*b + 2/17*b**3 = 0. What is b?
0, 1
Let t(g) be the third derivative of -g**5/20 - g**4/8 + g**3 - g**2. Solve t(k) = 0.
-2, 1
Let i(n) = n**3 - 22*n**2 + 2*n - 44. Let f be i(22). Factor 2/3*g**2 + f - 1/3*g**5 + 4/3*g**4 - 5/3*g**3 + 0*g.
-g**2*(g - 2)*(g - 1)**2/3
Let o(m) be the first derivative of -m**4/26 + 2*m**3/39 + m**2/13 - 2*m/13 + 11. Suppose o(f) = 0. Calculate f.
-1, 1
Factor 4*z**3 - 5 + 19 + 16*z