*s + 4*z = 19. Solve 10/3*h**s + 14/9*h**5 - 4/9*h - 2/9*h**2 + 0 - 38/9*h**4 = 0 for h.
-2/7, 0, 1
Let x(d) be the first derivative of 3*d**4/4 + 2*d**3 - 6*d**2 - 24*d + 20. Solve x(a) = 0.
-2, 2
Let o(b) be the first derivative of 9*b**5/20 + 69*b**4/16 + 97*b**3/12 + 43*b**2/8 + 3*b/2 + 11. Factor o(m).
(m + 1)*(m + 6)*(3*m + 1)**2/4
Factor -30 - 5*q**3 + 5*q + 30.
-5*q*(q - 1)*(q + 1)
Suppose -4*j = 8 - 28. Let q(t) be the first derivative of -8/9*t**6 - 2/3*t**3 - 1/6*t**2 + 0*t - 2 - 1/12*t**4 + 8/5*t**j. Find w, given that q(w) = 0.
-1/4, 0, 1
Let k(r) = -r**2 + 1. Let z = 10 - 11. Let d be k(z). Find a, given that -1/2*a**4 + d*a + 1/2*a**3 + 0 - 1/2*a**5 + 1/2*a**2 = 0.
-1, 0, 1
Let -2/7*f**4 - 2/7*f**3 + 0*f**2 + 0*f + 0 = 0. Calculate f.
-1, 0
Let i(k) be the third derivative of -1/210*k**5 + 0*k + 1/7*k**3 - 1/42*k**4 + 6*k**2 + 0. Factor i(r).
-2*(r - 1)*(r + 3)/7
Let f(j) be the third derivative of j**6/30 + j**5/15 + 4*j**2. Factor f(k).
4*k**2*(k + 1)
Let o = -48 - -244/5. Determine x, given that o*x - 2/5*x**3 - 2/5*x**5 + 6/5*x**2 - 6/5*x**4 + 0 = 0.
-2, -1, 0, 1
Let c be ((32/(-1))/4)/(-2). Factor 3*a**2 + 58*a - c + a**3 - 58*a.
(a - 1)*(a + 2)**2
Factor 44*j - 4*j**3 + 81*j**2 - 121*j**2 + 3 - 3.
-4*j*(j - 1)*(j + 11)
Factor -4*a**3 - 48*a - 26*a**2 - 32 - 13*a**2 + 15*a**2.
-4*(a + 2)**3
Let q(s) = s**3 + 7*s**2 - 18*s + 3. Let t be q(-9). Factor -2/9 - 2/9*r**t - 2/3*r**2 - 2/3*r.
-2*(r + 1)**3/9
Let -5/2*g**4 + 0 + 0*g + 7/2*g**3 - g**2 = 0. Calculate g.
0, 2/5, 1
Let z be (2/(1*-2))/(-1). Let c be (3 - z) + (0 - 0). Factor u**2 - 3*u**c - 6*u + 3*u + 4 + u.
-2*(u - 1)*(u + 2)
Let o(r) be the third derivative of -r**6/720 + r**4/144 - 21*r**2. Suppose o(w) = 0. Calculate w.
-1, 0, 1
Let b(u) = u**2 + 4*u + 4. Let p be b(-5). Suppose -3 - 1 = -z. Factor y**4 - 36*y**2 + 54*y**3 + 8*y - p*y**4 - 19*y**z.
-y*(3*y - 2)**3
Let 32/11*u**3 + 0*u - 14/11*u**5 + 0 - 8/11*u**2 - 10/11*u**4 = 0. What is u?
-2, 0, 2/7, 1
Let a(m) be the second derivative of -2*m + 0*m**2 + 0*m**4 + 1/12*m**3 + 0 - 1/40*m**5. Let a(k) = 0. What is k?
-1, 0, 1
Factor 2*t**5 + 0*t**4 + 16*t + 11 - 3 - 3*t**4 + 2*t**2 - 10*t**3 + t**4.
2*(t - 2)**2*(t + 1)**3
Let q(f) be the second derivative of f**7/42 + f**6/30 - 3*f**5/20 - f**4/12 + f**3/3 + 30*f. Suppose q(n) = 0. Calculate n.
-2, -1, 0, 1
Suppose l + 5*j = -17 - 5, 0 = -l + 2*j + 6. Let f = l - -5/2. Factor -1/2*i**4 + i**2 + i**3 - f*i**5 - 1/2*i - 1/2.
-(i - 1)**2*(i + 1)**3/2
Let j = -25645079/153 - -167619. Let d = -66/17 + j. Find b such that 0*b**2 + 0 + 2/9*b**3 - d*b = 0.
-1, 0, 1
Factor 1 + 3*a**2 - 5*a**2 + 2 - a**2.
-3*(a - 1)*(a + 1)
Let q(d) be the second derivative of -1/4*d**4 + 0*d**2 + 1/10*d**6 + 0*d**3 + 3*d + 0 + 3/20*d**5 - 1/14*d**7. Factor q(j).
-3*j**2*(j - 1)**2*(j + 1)
Let v(p) be the first derivative of 0*p**4 + 1/12*p**3 + 0*p**2 - 1/20*p**5 - 6 + 0*p. Factor v(b).
-b**2*(b - 1)*(b + 1)/4
Let x(b) be the second derivative of b**5/30 - 5*b**4/18 + 2*b**3/3 - 23*b. What is m in x(m) = 0?
0, 2, 3
Let v(a) be the second derivative of a**4/84 + a**3/21 + a**2/14 + 3*a. Suppose v(z) = 0. Calculate z.
-1
Factor 2*o**4 + 3*o**4 + 2*o**3 + o**4 + 4*o**3 + 2*o**5 + 2*o**2.
2*o**2*(o + 1)**3
Let j be 6 + -1 + -2 + -1. Factor 1 + j*q**2 + 0 + 3 + 0*q + 6*q.
2*(q + 1)*(q + 2)
Let t(s) be the second derivative of s**7/490 - s**6/140 + s**5/140 - s**2/2 - 4*s. Let j(h) be the first derivative of t(h). Determine o, given that j(o) = 0.
0, 1
Let o(u) be the third derivative of 4*u**2 + 0 + 1/2*u**3 + 3/20*u**5 + 1/40*u**6 + 3/8*u**4 + 0*u. Suppose o(n) = 0. Calculate n.
-1
Let x = 6 - 3. Solve -2/3*n**x + 0 + 0*n - 2/3*n**2 = 0.
-1, 0
Let d(t) = -2*t**4 + 12*t**3 + 12*t**2. Let f(o) = 3*o**4 - 13*o**3 - 13*o**2. Let k(i) = 5*d(i) + 4*f(i). Factor k(q).
2*q**2*(q + 2)**2
Let f(a) be the second derivative of -3*a**5/20 + a**4 - 5*a**3/2 + 3*a**2 - 5*a. Determine p so that f(p) = 0.
1, 2
Solve 84*d + 25*d**3 + 49*d**2 + 50*d**3 + 24*d**4 + 3*d**5 + 77*d**2 + 24 - 12*d**2 = 0 for d.
-2, -1
Let s = 6803/11 - 618. Let d = s + -13/77. Factor 0*j + 0 - d*j**2 - 2/7*j**3.
-2*j**2*(j + 1)/7
Let q = 5 + 0. Factor -4*d**5 + d**q + 3*d**3 - 4*d**2 - 4*d + 4*d**5 + 4*d**4.
d*(d - 1)*(d + 1)*(d + 2)**2
Let a(w) be the first derivative of w**3/12 - 9*w**2/8 + 7*w/2 + 8. Factor a(d).
(d - 7)*(d - 2)/4
Factor -1/7*u**5 + 0*u + 1/7*u**3 + 1/7*u**4 - 1/7*u**2 + 0.
-u**2*(u - 1)**2*(u + 1)/7
Let p be 3/42*(8/30)/2. Let y(x) be the second derivative of 0 + 0*x**5 - x + 0*x**4 + 0*x**3 + 0*x**2 + 1/75*x**6 + p*x**7. Find b, given that y(b) = 0.
-1, 0
Suppose 3*j = -0*j. Let f(k) be the first derivative of -1 - 1/2*k + 1/3*k**3 + 0*k**4 - 1/10*k**5 + j*k**2. Factor f(g).
-(g - 1)**2*(g + 1)**2/2
Factor 5*b - 5 - 5*b + 2*b**2 - 3.
2*(b - 2)*(b + 2)
Let l(a) be the third derivative of 7*a**6/30 + 6*a**5/5 + 10*a**4/7 + 16*a**3/21 + 19*a**2. What is u in l(u) = 0?
-2, -2/7
Let h(i) be the second derivative of -i**4/6 - 20*i**3/3 - 100*i**2 + 3*i - 1. Solve h(a) = 0 for a.
-10
Find c such that 4/3*c**4 - 16/3*c**2 - 8/3*c**3 + 8/3*c + 4 = 0.
-1, 1, 3
Factor 3/5*h**3 - 3/5*h + 1/5*h**2 + 1/5*h**4 - 2/5.
(h - 1)*(h + 1)**2*(h + 2)/5
Suppose 14 = 5*f - 1. Solve -12*c - 2*c**3 + 48*c**2 + 27*c**4 - 19*c**3 - 42*c**f = 0.
0, 2/3, 1
Let q(m) = m**3 - 7*m**2 - 2*m + 16. Let s be q(7). What is u in -1 + 1/4*u**s + 1/4*u**3 - u = 0?
-2, -1, 2
Let j = 0 - -5. Find r, given that -3*r + r**3 - 3*r - 4*r**2 + 3*r**3 + r**j + r**5 + 6*r**4 - 2 = 0.
-1, 1
Suppose 0*y - 5*y + 70 = 0. Let z be 19/7 - (-4)/y. Factor 0*d**2 + 3 - 2 - d**5 - 2*d**2 - d + 2*d**z + d**4.
-(d - 1)**3*(d + 1)**2
Determine k so that -8*k**4 + 20*k**4 + 8*k**4 + 5*k**2 - 25*k**3 = 0.
0, 1/4, 1
Let a(d) be the second derivative of -d**8/840 + d**3/3 - 2*d. Let q(h) be the second derivative of a(h). Find p, given that q(p) = 0.
0
Suppose 2*p - 2*h - 17 = 1, -5*p = 4*h - 9. Suppose 6*o = p*o. Let o*l**3 + 1/3*l**2 + 0*l + 0 - 1/3*l**4 = 0. What is l?
-1, 0, 1
Let r = 37 - -6. Let -47*f**3 + 40*f - 8 + 8*f - 34*f**2 - r*f**3 = 0. Calculate f.
-1, 2/9, 2/5
Let q(v) be the third derivative of -v**6/150 + 4*v**5/75 + 11*v**4/30 + 4*v**3/5 + 7*v**2. Factor q(h).
-4*(h - 6)*(h + 1)**2/5
Factor 1/2*f**3 + 3/2*f**2 + 0 + f.
f*(f + 1)*(f + 2)/2
Let m(x) be the first derivative of 24*x**2 + 16*x + 7*x**3 + 5/8*x**4 - 2. What is l in m(l) = 0?
-4, -2/5
Suppose 20 = 3*y + y. Let z(c) be the second derivative of 1/15*c**4 + 0*c**2 - c - 1/15*c**3 + 0 - 1/50*c**y. Factor z(i).
-2*i*(i - 1)**2/5
Let f = -1/22 - -25/66. Let d(m) be the first derivative of 1/5*m**5 + 1/18*m**6 - 1/2*m**2 + 1/6*m**4 + 1 - f*m - 2/9*m**3. Factor d(i).
(i - 1)*(i + 1)**4/3
Let x(f) = 4*f**3 + 8*f**2 + 3*f - 3. Let d(p) = -p**3 - p**2 + p + 1. Let a(m) = 6*d(m) + 2*x(m). Factor a(n).
2*n*(n + 2)*(n + 3)
Let z(j) = -j**2 - 6*j. Let k be z(-5). Let w(p) = -p**2 + 7*p - 7. Let v be w(k). Factor 12*c**3 - 2*c - 3*c**4 + 11*c - v - 18*c**2 + 3*c.
-3*(c - 1)**4
Let q(a) be the second derivative of 7*a**7/18 - 14*a**6/15 + 3*a**5/5 + 33*a. Factor q(t).
t**3*(7*t - 6)**2/3
Suppose w + 4*h = 2*h - 10, 4*w - 25 = 5*h. Let b(l) be the third derivative of -3*l**2 - 1/150*l**5 + 1/60*l**4 + 0 + 0*l + w*l**3. What is i in b(i) = 0?
0, 1
Let u(b) be the first derivative of b**7/735 - b**6/140 + b**5/70 - b**4/84 + 2*b**2 - 3. Let o(v) be the second derivative of u(v). Solve o(l) = 0 for l.
0, 1
Let h be (-1 + 3 - 0) + -2. Let y(i) = i**2 + 9*i + 10. Let k be y(-8). Factor 2/3*c**4 + h*c + 4/3*c**3 + 0 + 2/3*c**k.
2*c**2*(c + 1)**2/3
Let w(q) be the first derivative of 2*q**5/3 - 4*q**4/3 - 4*q**3/9 + 8*q**2/3 - 2*q + 5. Let w(p) = 0. Calculate p.
-1, 3/5, 1
Suppose -2*q + 1 + 15 = 0. Factor -3*u - 4*u**4 + 4*u**2 - q*u**5 - 4*u**4 + u + 6*u**3.
-2*u*(u + 1)**2*(2*u - 1)**2
Let k(y) be the third derivative of y**7/840 - 7*y**6/2160 - y**5/180 - y**4/24 - 3*y**2. Let p(z) be the second derivative of k(z). Factor p(l).
(l - 1)*(9*l + 2)/3
Let t(k) = k**3 - 8*k**2 + 7*k. Let r be t(7). Let f(n) be the first derivative of 2/21*n**3 + 2/35*n**5 + 0*n**2 + 1/7*n**4 + r*n - 1. Factor f(m).
2*m**2*(m + 1)**2/7
Factor 4*w**2 + 14 - 4 - 5*w + 6 - 11*w.
4*(w - 2)**2
Suppose 5*i - 12 = 2*i. Suppose i*v - 3*x = v + 15