 such that f(n) = 0.
-15, -2, 0
Let p(v) = v**2 - 24*v + 111. Let u be p(18). Let k(s) be the first derivative of 1/3*s**u + 0*s**2 - 1/4*s**4 + 0*s - 6. Suppose k(b) = 0. Calculate b.
0, 1
Let d(s) be the third derivative of s**7/2100 + 4*s**6/75 + 21*s**5/200 - 2*s**2 + 66*s. Solve d(o) = 0 for o.
-63, -1, 0
Let s(i) = 14 + 14 - i - 33 + 6. Let x(j) = 20*j**2 + 21*j - 9. Let w(l) = -5*s(l) - x(l). Solve w(v) = 0 for v.
-1, 1/5
Let u(t) = 16*t - 40. Let b be u(2). Let r be b + 8 + (-2)/4*0. Suppose 9/8*g**2 + 0*g**3 + r + 3/4*g - 3/8*g**4 = 0. What is g?
-1, 0, 2
Let g(k) be the second derivative of 1/110*k**5 + 0*k**2 + 0*k**4 - 6*k + 0 - 4/33*k**3. Factor g(v).
2*v*(v - 2)*(v + 2)/11
Let a(r) be the first derivative of -2*r**6/3 - 28*r**5/5 - 11*r**4 - 20*r**3/3 + 65. Determine v so that a(v) = 0.
-5, -1, 0
Let v(p) = 4*p**5 + 5*p**4 - 2*p**3 - 4*p**2 + p + 5. Let s(l) = l**5 + l**4 + 1. Let h(r) = 3*s(r) - v(r). Let h(b) = 0. What is b?
-2, -1, 1
Suppose 6*r**2 + 6*r**5 - r**5 - 20*r**5 + 31*r**4 - 27*r**3 + 5*r**4 = 0. Calculate r.
0, 2/5, 1
Let o(x) be the third derivative of x**7/168 - 11*x**6/96 + 19*x**5/48 - 15*x**4/32 + 3*x**2. Factor o(v).
5*v*(v - 9)*(v - 1)**2/4
Let v(x) = -10*x**4 + 61*x**3 - 233*x**2 - 61*x + 243. Let z(q) = 7*q**4 - 41*q**3 + 155*q**2 + 41*q - 162. Let d(j) = -5*v(j) - 7*z(j). Factor d(k).
(k - 9)**2*(k - 1)*(k + 1)
Let b = -37 + 33. Let m be 2/b*(-3)/6. Factor 0 - 1/2*a**3 + m*a**4 + 1/4*a**2 + 0*a.
a**2*(a - 1)**2/4
Let i(b) = -15*b**3 - 435*b**2 - 7362*b + 7758. Let h(m) = 7*m**3 + 217*m**2 + 3680*m - 3880. Let o(p) = 9*h(p) + 4*i(p). Factor o(l).
3*(l - 1)*(l + 36)**2
Let q(f) be the first derivative of -f**5/12 + 25*f**4/6 - 250*f**3/3 - f**2 + 18*f + 47. Let v(a) be the second derivative of q(a). Factor v(y).
-5*(y - 10)**2
Let q = 1122 + -1114. Factor 32*d**2 + 1/2 + q*d.
(8*d + 1)**2/2
Factor -14/3*o + 2*o**3 + 14/3*o**2 - 2.
2*(o - 1)*(o + 3)*(3*o + 1)/3
Factor -32/7*b - 4/7*b**3 + 20/7*b**2 + 16/7.
-4*(b - 2)**2*(b - 1)/7
Let a(k) = -3*k**3 - 26*k**2 - 8*k - 151. Let g be a(-9). Determine h, given that -g*h - 16/7 + 2/7*h**2 = 0.
-1, 8
Let w = -755 + 758. Let u(m) be the first derivative of -w*m**3 + 9/5*m**5 - 3*m**2 + 3/2*m**4 - 6 + 0*m. Let u(s) = 0. What is s?
-1, -2/3, 0, 1
Let s be ((-7)/((-105)/18))/((-70)/500*-15). Factor -2/21*a**2 + 0 - 2/21*a**3 + s*a.
-2*a*(a - 2)*(a + 3)/21
Let f = 53 + 101. Let s = 317/2 - f. Factor 0*j**2 + 3 + 3/2*j**3 - s*j.
3*(j - 1)**2*(j + 2)/2
Let u(w) be the second derivative of 0 - 1/5*w**2 - 1/15*w**4 - 1/5*w**3 + 17*w. Factor u(j).
-2*(j + 1)*(2*j + 1)/5
Let u(k) be the first derivative of -5*k**4/84 - k**3/6 - k**2/7 + 10*k - 17. Let i(z) be the first derivative of u(z). Factor i(s).
-(s + 1)*(5*s + 2)/7
Let w(l) be the first derivative of 49*l**6/54 - 364*l**5/45 - 1151*l**4/36 - 1054*l**3/27 - 178*l**2/9 - 40*l/9 + 358. Suppose w(p) = 0. What is p?
-1, -2/7, 10
Suppose -4*x + 3*x = -2. Let c be 249/27 - (-7)/(91/(-117)). Factor -2/3*q + 10/9*q**2 - x - c*q**3.
-2*(q - 3)**2*(q + 1)/9
Let r be ((-80)/(-4))/(-12*2/(-4)). Let z(m) be the first derivative of 0*m - 7/2*m**4 + 2*m**2 + 2 + r*m**3. Factor z(c).
-2*c*(c - 1)*(7*c + 2)
Suppose -400*n**4 - 118*n**3 - 11*n**2 + 33*n**2 + 14*n**3 - 62*n**3 + 12*n - 224*n**5 = 0. Calculate n.
-1, -3/4, -2/7, 0, 1/4
Let j(a) = 2*a**2 - 12*a. Let b(n) = -6*n**2 + 24*n. Let s(i) = 4*b(i) + 10*j(i). Find u, given that s(u) = 0.
-6, 0
Let x = -1176 - -1178. Let g(w) be the third derivative of 1/10*w**6 + 2/105*w**7 + w**x + 0 + 0*w**3 + 0*w + 1/5*w**5 + 1/6*w**4. Solve g(y) = 0.
-1, 0
Factor -12310*c**2 + 12223*c**2 + 279 - 3*c**4 - 528*c + 42*c**3 + 297.
-3*(c - 8)**2*(c - 1)*(c + 3)
Let j(f) be the second derivative of f**7/21 - 28*f**6/15 + 26*f**5/5 + f**4/3 - 53*f**3/3 + 26*f**2 + 90*f. Let j(h) = 0. What is h?
-1, 1, 26
Let h(s) be the first derivative of -5/3*s**3 + 0*s - 26 + 5*s**2. Factor h(k).
-5*k*(k - 2)
Let t(a) be the first derivative of -6*a**3/17 + 35*a**2/17 - 48*a/17 + 169. Factor t(j).
-2*(j - 3)*(9*j - 8)/17
Factor 33/5*c**2 - 36/5*c - 3/5*c**4 + 6/5*c**3 - 108/5.
-3*(c - 3)**2*(c + 2)**2/5
Let b be 3 - (-1 - 0 - 0). Let q(c) = 3*c**2 - 2*c - 7. Let w(k) = k**2 - k - 2. Let n(g) = b*q(g) - 14*w(g). Let n(o) = 0. Calculate o.
0, 3
Let l(z) = z + 18. Let k be l(0). Factor 9*m + 4*m**3 - 2*m**3 + 9*m + 12*m - 14*m**2 - k.
2*(m - 3)**2*(m - 1)
Suppose -4*o + 4*l - 1 = -29, -13 = -o + 3*l. Suppose -h - 2*i - 2*i = -25, 0 = o*i - 20. Factor -c**5 - 22*c**4 + 3*c**h + 18*c**4 + 2*c**3.
2*c**3*(c - 1)**2
Let v(o) be the first derivative of -1/7*o**3 - 3/2*o**2 + 59 + 0*o. Find j, given that v(j) = 0.
-7, 0
Let l(d) be the second derivative of -d**4/96 - 5*d**3/24 + 5*d. Factor l(v).
-v*(v + 10)/8
Let o(z) = -z - 1. Let a(r) = -r**2 + 2*r + 7. Let k(y) = -a(y) - 5*o(y). Let q be k(-4). Solve -5*v**q - 9*v - 16*v**3 + 1 - 2 - 18*v**2 - v**2 = 0.
-1, -1/4
Let n(z) be the third derivative of -1/4*z**5 + 5*z**2 + 1/42*z**7 + 5/12*z**4 + 0*z**6 + 0*z + 0 + 0*z**3. Find q such that n(q) = 0.
-2, 0, 1
Let l(r) be the third derivative of r**5/15 + 5*r**4/2 + 112*r**3/3 + 315*r**2 - 2. Factor l(h).
4*(h + 7)*(h + 8)
Suppose 2*u = -3*q + 19, -5*q - 3*u = -3*q - 21. What is a in -2*a + 3 - 4*a**2 + a**2 + 3*a**q - a + 0*a**3 = 0?
-1, 1
Let c(j) = -3*j**3 - 3*j**2 - j + 1. Let x be c(-2). Let m(d) = -d + 19. Let p be m(x). Solve p*y**2 - 3 + 7 - 5*y**2 = 0.
-2, 2
Let g(c) be the third derivative of -c**7/504 - c**4/6 - 9*c**2. Let d(s) be the second derivative of g(s). Let d(u) = 0. What is u?
0
Let y be 4/1 + -3 + 2. Let n(l) = 3*l**2 + 3. Let s(c) = -6*c**2 + c - 7. Suppose -7 = -0*u - u. Let m(z) = u*n(z) + y*s(z). Suppose m(r) = 0. What is r?
-1, 0
Let b(g) = -g**3 - 8*g**2 - 9*g - 8. Let c be b(-7). Let q(i) = 5*i + 2. Let z be q(c). Factor -12*d**2 + z*d - 5*d**2 + 13*d**2 - 64.
-4*(d - 4)**2
Let z(l) be the first derivative of 1/60*l**6 + 0*l - 1/50*l**5 - 3/40*l**4 - 11 + 1/30*l**3 + 1/10*l**2. Find a such that z(a) = 0.
-1, 0, 1, 2
Factor 5/2 + 5/2*z**2 - 5*z.
5*(z - 1)**2/2
Factor 0 + 0*j - 28/19*j**4 + 256/19*j**2 - 2/19*j**5 - 64/19*j**3.
-2*j**2*(j - 2)*(j + 8)**2/19
Let m(i) = -2*i + 20. Let l be m(6). Let d be (-215)/(-45) + l/36. Factor -1/4*f + 0 + 1/2*f**4 - 1/2*f**2 + 1/4*f**d + 0*f**3.
f*(f - 1)*(f + 1)**3/4
Let w(t) be the second derivative of t**8/3360 - t**7/1260 - t**6/360 + t**5/60 - 5*t**4/4 + 3*t. Let n(f) be the third derivative of w(f). Factor n(s).
2*(s - 1)**2*(s + 1)
Let f(h) be the first derivative of h**4/4 + h**3/3 + h**2/2 - 14. Let o be f(0). Let o*y**3 + 0 + 2/3*y**2 - 2/9*y**4 + 4/9*y = 0. What is y?
-1, 0, 2
Let m(j) be the first derivative of -3*j - 1 + 1/4*j**2 - 1/12*j**3 - 1/24*j**4 + 1/40*j**5. Let z(o) be the first derivative of m(o). Factor z(y).
(y - 1)**2*(y + 1)/2
Let c(z) be the second derivative of 0*z**2 - 12*z + 1/4*z**5 + 5/2*z**3 - 5/3*z**4 + 0. Factor c(i).
5*i*(i - 3)*(i - 1)
Suppose i + 31 = k + 29, 4*k + 3*i - 29 = 0. Let d(g) be the first derivative of 0*g**2 + 1/12*g**3 - k - 1/4*g. Find z such that d(z) = 0.
-1, 1
Factor 3*l**5 + 6*l**5 + 7*l**2 - 10*l**5 + 2*l**5 - 4 - 3*l**4 - l**3.
(l - 2)**2*(l - 1)*(l + 1)**2
Let v = -1/2818 + 5653/47906. Factor 2/17*u + 2/17*u**2 - 2/17*u**3 + 0 - v*u**4.
-2*u*(u - 1)*(u + 1)**2/17
Let x(p) be the first derivative of -2*p**3/9 - 94*p**2/9 - 62*p/9 - 429. Determine o so that x(o) = 0.
-31, -1/3
Find s, given that 4*s**3 - 3*s**3 - 261*s**2 - 2685619 - 268*s**2 + 112*s**2 + 57963*s = 0.
139
Let c(l) = -4*l**3 + 24*l**2 - 48*l - 96. Let w(t) = t**3 - 8*t**2 + 16*t + 32. Let i(z) = 5*c(z) + 16*w(z). Suppose i(o) = 0. Calculate o.
-2, 2
Determine d, given that 10/9*d**3 + 0 - 2/9*d**5 + 0*d**4 - 8/9*d + 0*d**2 = 0.
-2, -1, 0, 1, 2
Let h(p) = 4*p**3 + 15*p**2 + 43*p + 27. Let d(y) = -y**3 + y**2 - 1. Let g(l) = -5*d(l) - h(l). What is a in g(a) = 0?
-1, 22
Let d(c) be the first derivative of -c**6/14 + 3*c**5/7 - 3*c**4/28 - 3*c**3 + 27*c**2/7 - 159. Find r such that d(r) = 0.
-2, 0, 1, 3
Factor -3/4*o**3 - 3*o**2 + 48 + 12*o.
-3*(o - 4)*(o + 4)**2/4
Let s(c) be the second derivative of -578*c**7/21 + 136*c**6/15 + 863*c**5/5 + 374*c**4/3 - 248*c**3/3 + 16*c**2 + 3*c - 76. Determine y, given that s(y) = 0.
-1, 2/17, 2
Facto