4 + h**k + h**4 = 0.
0, 1, 2
Let c(o) be the first derivative of 4/7*o**2 + 2/7*o + 10/21*o**3 - 3 + 1/7*o**4. Factor c(h).
2*(h + 1)**2*(2*h + 1)/7
Let a(p) be the second derivative of -p**6/60 - p**5/30 + p**4/6 - p**2 + p. Let h(o) be the first derivative of a(o). Determine k, given that h(k) = 0.
-2, 0, 1
Let w = 9 - 5. Let r = -57 - -58. Factor -3*c**3 - c**w - 1 - c + r - 3*c**2.
-c*(c + 1)**3
Let u(b) be the first derivative of 0*b + 2 + 1/15*b**6 + 0*b**4 + 4/15*b**3 - 1/5*b**2 - 4/25*b**5. Factor u(w).
2*w*(w - 1)**3*(w + 1)/5
Let l(y) be the first derivative of y**4/8 - y**3/3 - y**2 + 4*y - 23. Factor l(k).
(k - 2)**2*(k + 2)/2
Factor 3/8*k**2 + 147/8 + 21/4*k.
3*(k + 7)**2/8
Solve 3/8 + 9/4*a**2 + 9/8*a**5 + 3/4*a**3 - 15/8*a - 21/8*a**4 = 0.
-1, 1/3, 1
Let p(q) be the second derivative of -q**6/150 - 3*q**5/100 - q**4/20 - q**3/30 + 6*q. Factor p(y).
-y*(y + 1)**3/5
Let h(x) = -x + 3. Let y be h(-9). Let u = y - 23/2. Factor -1/4*c**3 - u + 0*c**2 + 3/4*c.
-(c - 1)**2*(c + 2)/4
Let z(i) be the first derivative of 1/16*i**4 + 1/20*i**5 - 1 - 1/8*i**2 + 0*i - 1/12*i**3. Determine q, given that z(q) = 0.
-1, 0, 1
Let a(t) be the third derivative of 0 + 1/1155*t**7 - 1/330*t**5 + 0*t**3 + 0*t + 0*t**6 + t**2 + 0*t**4. What is m in a(m) = 0?
-1, 0, 1
Let z(o) be the second derivative of -o**7/210 + o**6/45 - o**5/24 + o**4/24 - o**3/6 - 2*o. Let a(b) be the second derivative of z(b). Factor a(i).
-(i - 1)*(2*i - 1)**2
Let o(y) = y**4 - 7*y**3 - 17*y**2 - 4*y. Let s(q) = q**4 - 3*q**3 - 9*q**2 - 2*q. Let u(j) = 3*o(j) - 5*s(j). Solve u(v) = 0.
-1, 0
Let c(s) be the third derivative of s**6/30 + 4*s**5/15 + 5*s**4/6 + 4*s**3/3 - 60*s**2. Factor c(x).
4*(x + 1)**2*(x + 2)
Suppose c = 4*t - 1, 0 = -t - 2*t - c - 8. Let a be (2 + 10/(-4))*t. Determine i so that 1/2*i**4 + 1/2*i - a*i**2 - 1/2*i**3 + 0 = 0.
-1, 0, 1
Let v(g) = -2*g + 48. Let w be v(23). Let j(r) be the second derivative of -4/33*r**3 - 1/66*r**4 + 0 - 3*r - 4/11*r**w. Suppose j(x) = 0. What is x?
-2
Let r(x) be the second derivative of -2*x**7/105 - x**6/15 - x**5/15 + 7*x**2/2 + 7*x. Let s(u) be the first derivative of r(u). Factor s(q).
-4*q**2*(q + 1)**2
Let b(o) = 2*o**2 + o + 0*o**2 - 2*o - 3*o**2 - 1. Let x(q) = 4*q**2 + 4*q - 5. Let m(y) = -b(y) - x(y). Let m(k) = 0. Calculate k.
-2, 1
Factor -3/2*o**2 - 3/2*o**4 - 3*o**3 + 0 + 0*o.
-3*o**2*(o + 1)**2/2
Suppose -2*p = -6*p + 12. Let v(t) be the second derivative of 2*t - 1/21*t**4 + 0*t**2 + 1/21*t**p + 0 + 1/70*t**5. Factor v(i).
2*i*(i - 1)**2/7
Let x(r) = -r**4 - 6*r**3 + 2*r**2 - 5*r - 5. Let f(w) = w**4 + 7*w**3 - 2*w**2 + 6*w + 6. Let g(z) = 5*f(z) + 6*x(z). Factor g(c).
-c**2*(c - 1)*(c + 2)
Suppose 2 = -g + 4. Let s(l) be the second derivative of 0 + 3*l + 1/12*l**4 + 1/2*l**g + 1/3*l**3. Find v, given that s(v) = 0.
-1
Suppose 3*a - 2*y - 2*y - 2 = 0, y = 1. Find x such that -a + 7*x - 11/2*x**2 + 5/4*x**3 = 0.
2/5, 2
Suppose 11 = s - 3*n, 2*s + 4*n = n - 5. Suppose t**3 + s*t**2 - 4*t**3 + t**2 - 3 + 3*t = 0. What is t?
-1, 1
Let a(o) = -o**2 - o + 1. Let z(m) = -5*m**2 - 2*m + 3. Let p(k) = 6*a(k) - 2*z(k). Determine j so that p(j) = 0.
0, 1/2
Let y(d) be the third derivative of d**5/390 - d**4/39 - 5*d**3/39 - 11*d**2. Solve y(x) = 0.
-1, 5
Let u(q) = -2*q**3 + q**2 + 2*q - 1. Let i(l) = l**3 - l. Let t(k) = -3*i(k) - 2*u(k). Let g(b) = -b**2 + 1. Let z(x) = g(x) + t(x). Factor z(r).
(r - 3)*(r - 1)*(r + 1)
Let s(b) be the first derivative of b**5/20 + b**4/24 + 4*b**2 - 2. Let f(g) be the second derivative of s(g). Factor f(w).
w*(3*w + 1)
Let m(y) be the second derivative of y**7/8 + 23*y**6/40 + 81*y**5/80 + 13*y**4/16 + y**3/4 + 34*y. Find o such that m(o) = 0.
-1, -2/7, 0
Determine n, given that 96/5 - 15*n**5 - 408/5*n + 618/5*n**3 - 33*n**4 + 204/5*n**2 = 0.
-4, -1, 2/5, 2
Suppose 12 = 2*i - i. Solve i*o - 8*o - 4 + 6*o + 14*o**2 = 0 for o.
-1, 2/7
Factor -6*z - 4*z**2 - 2*z**5 + 4 + 28*z**4 - 28*z**4 + 0*z**3 + 8*z**3.
-2*(z - 1)**3*(z + 1)*(z + 2)
Suppose 6*t = 4*t - 24. Let f = t - -15. Find p, given that -1/2*p - p**2 + 0 - 1/2*p**f = 0.
-1, 0
Solve 3*x**2 + 0 - 2*x + 3*x**2 + 1 - 5*x**2 = 0.
1
Let d(g) = -7*g**4 - 12*g**3 + 4*g**2 + 11*g + 2. Let p(z) = 27*z**4 + 48*z**3 - 15*z**2 - 45*z - 9. Let b(u) = -21*d(u) - 5*p(u). Let b(q) = 0. What is q?
-1, 1/2
Let r be (10 - 14)/(-3 - (-3)/15). Suppose -r*h**2 - 16/7*h - 8/7 - 2/7*h**3 = 0. Calculate h.
-2, -1
Let c be (-3)/15 + -2 + (-78)/(-15). Factor -1/2*q**2 + 0*q + 0 + q**c - 1/2*q**4.
-q**2*(q - 1)**2/2
Let k(x) = 3*x**3 - 3*x**2 - 12*x - 6. Let c(i) = -i**2 - i - 1. Let p = -16 - -15. Let f(b) = p*k(b) + 6*c(b). What is m in f(m) = 0?
-2, 0, 1
Let o = 281/186 + -1/93. Let k(z) be the first derivative of 10/3*z**3 - 2/5*z**5 - 1/3*z**6 + 2*z**2 + o*z**4 + 2 + 0*z. What is a in k(a) = 0?
-1, 0, 2
Let l = 5 + -6. Let h be 1 + (-1)/(l - 0). Determine z, given that z**2 + 2*z**h + 3*z**2 + 2*z**4 - 6*z**3 - 2*z = 0.
0, 1
Let y(x) be the third derivative of -x**5/50 - 3*x**4/10 + 23*x**2. What is r in y(r) = 0?
-6, 0
Let x = 16 - 17. Let r be 8*(7/6 + x). Factor -10/3*a**2 + 0 - 2/3*a**4 + r*a + 8/3*a**3.
-2*a*(a - 2)*(a - 1)**2/3
Let v = 11055892 + -11111169862/1005. Let d = v + 2/201. Determine q, given that 2/5 + d*q + 6/5*q**2 = 0.
-1, -1/3
Let n(a) be the second derivative of 2/135*a**6 + 1/90*a**5 - 2*a + 1/189*a**7 + 0*a**3 + 0 + 0*a**2 + 0*a**4. Solve n(h) = 0.
-1, 0
Let b(l) be the third derivative of l**7/700 + l**6/600 + 28*l**2. Solve b(x) = 0 for x.
-2/3, 0
Let d(z) = 5*z**4 - 21*z**3 + 41*z**2 - 31*z + 14. Let c(x) = 70*x**4 - 295*x**3 + 575*x**2 - 435*x + 195. Let s(y) = -4*c(y) + 55*d(y). Factor s(g).
-5*(g - 2)*(g - 1)**3
Solve -20*y**3 + 10*y**2 - 5*y**2 + 10*y - 2*y + 7*y**2 = 0.
-2/5, 0, 1
Find a, given that -3*a**3 - 21*a**3 + a**5 - 4*a**5 + 12*a**2 + 15*a**4 = 0.
0, 1, 2
Let i be (-16)/(-40) + 7/(-5). Let v be i + -1 + 1 - -3. Determine k so that k**v + k**3 - k - 1 + 4 - 4 = 0.
-1, 1
Let f(h) be the third derivative of -h**11/166320 + h**9/15120 - h**7/2520 + h**5/12 - 2*h**2. Let t(v) be the third derivative of f(v). Factor t(z).
-2*z*(z - 1)**2*(z + 1)**2
Let c(d) = -d**2 + 9*d - 15. Let q be c(3). Determine g so that -4/7*g**2 + 2/7*g + 0 + 2/7*g**q = 0.
0, 1
Let v(y) = y**2 - 10*y + 3. Let d be v(10). Let u(k) be the first derivative of 1/2*k**4 + 2 + 0*k**d - k**2 + k - 1/5*k**5. Factor u(a).
-(a - 1)**3*(a + 1)
Let h(g) be the second derivative of -49*g**6/120 - 14*g**5/5 - 29*g**4/12 - 2*g**3/3 + 32*g. Factor h(w).
-w*(w + 4)*(7*w + 2)**2/4
Let h(c) = -4*c**2 - 6*c - 1. Let n(d) = d. Suppose l = 5*z + 10, 5*z - 4*l - 4 = -14. Let g(a) = z*h(a) - 2*n(a). Determine x, given that g(x) = 0.
-1, -1/4
Let y(z) be the third derivative of -z**7/210 + z**5/20 + z**4/12 - z**2. Let y(w) = 0. What is w?
-1, 0, 2
Let x be 38/30 - 14/((-910)/(-39)). Let 10/3*g - 4/3 - 8/3*g**2 + x*g**3 = 0. What is g?
1, 2
Let f(r) be the third derivative of r**7/2520 - r**6/1080 + r**3/2 + 3*r**2. Let h(v) be the first derivative of f(v). Factor h(m).
m**2*(m - 1)/3
Let o = -3 - -5. Let -o*k + 15*k**3 + 2*k**4 - 11*k**3 + 2*k**2 + 2*k = 0. Calculate k.
-1, 0
Let k be (-6)/(-15)*7/2. Let a be (6 - 6)*3/(-3). Factor -2/5*s + k*s**2 + a.
s*(7*s - 2)/5
Factor -9*u**2 + 2*u**2 + 9 - 6*u + 8*u**2.
(u - 3)**2
Solve -1/2*n**2 + 1/4*n + 0*n**3 - 1/4*n**5 + 0 + 1/2*n**4 = 0.
-1, 0, 1
Let u(g) be the first derivative of g**4/20 - g**3/5 + 3*g**2/10 - 3*g + 1. Let p(a) be the first derivative of u(a). Let p(n) = 0. Calculate n.
1
Let q be 1326/378 + (2 - 5). Let k = -2/9 + q. Solve -k*u**2 + 2/7*u**4 + 0 + 2/7*u**3 - 2/7*u = 0.
-1, 0, 1
Let g(f) be the third derivative of f**5/75 - f**4/5 + 2*f**3/3 - 10*f**2. Factor g(k).
4*(k - 5)*(k - 1)/5
Suppose -4*i = c - 1, 0 + 5 = 5*c - i. Let s be 0 - c*(-5 - -2). Factor 4*b**4 + s*b**4 - 6*b**4.
b**4
Let y(k) be the first derivative of -k**6/90 + k**5/36 - k**4/72 + k**2 - 2. Let c(h) be the second derivative of y(h). Suppose c(q) = 0. Calculate q.
0, 1/4, 1
Let l(v) be the first derivative of -v**3/9 + v**2/2 + 25. Solve l(h) = 0 for h.
0, 3
Solve -m**5 + 3*m**4 + 64*m + 13 - 70*m + 7*m**3 - 11*m**2 - 5 = 0.
-2, -1, 1, 4
Let l(p) = 0 - p**3 + 0 + 1. Let t(y) = 2*y**3 - 6*y**2 - 4*y - 4. Let s(d) = -4*l(d) - t