*d**2 + 3072*d + 32763. Let q(r) = -3*r**3 + r**2 + 1. Let o(h) = 10*q(h) + 2*u(h). Find c, given that o(c) = 0.
-32
Suppose -37/3*u**2 + 20*u - 1/3*u**4 + 10/3*u**3 - 12 = 0. What is u?
2, 3
Suppose 4*d + 64 = -4*d. Let z be d/(-20)*-13*-50. Let 245*k**4 - 39*k - 15*k + 14*k - z*k**2 - 350*k**3 = 0. Calculate k.
-2/7, 0, 2
Let u = -2 + 5. Suppose u*w - 13 = 41. Factor -6*l**4 + 10*l**3 + 14*l + 178 - w*l**2 + 4*l**4 - 182.
-2*(l - 2)*(l - 1)**3
Let b(n) be the second derivative of n + 9/10*n**2 + 1/60*n**4 - 1/5*n**3 + 12. What is d in b(d) = 0?
3
Let p = 3 + -5. Let q(h) = 4*h**3 - 2*h**2 - 3*h - 1. Let o(x) = -20*x**3 + 11*x**2 + 15*x + 6. Suppose -r - 5 = 6. Let l(c) = p*o(c) + r*q(c). Factor l(b).
-(b + 1)*(2*b - 1)**2
Let k(y) = 1. Let o(r) = 2*r**3 - 54*r**2 + 462*r - 1271. Let z(h) = 3*k(h) - o(h). Determine f so that z(f) = 0.
7, 13
Let b(w) be the first derivative of w**7/4620 - w**6/990 - 7*w**3/3 - 6. Let q(n) be the third derivative of b(n). Factor q(u).
2*u**2*(u - 2)/11
What is h in -3509*h + h**2 + 0*h**2 + 3496*h = 0?
0, 13
Let n(h) be the third derivative of h**6/360 - h**5/15 + 2*h**4/3 - 32*h**3/9 + 42*h**2. Find c such that n(c) = 0.
4
Let w be (-6)/10 + 216/40. Let h = -33/10 + w. Factor -1/2*q**2 - 1/2*q**4 + h*q - 3/2*q**3 + 1.
-(q - 1)*(q + 1)**2*(q + 2)/2
Let 5*a**3 + 3*a**2 - 5*a**5 + 7*a**2 - 5*a**2 - 5*a**4 = 0. What is a?
-1, 0, 1
Suppose -21 = -17*p + 14*p - 4*t, -3*p - t = -12. Factor 3/4*q - 3/4*q**3 + 3*q**2 - p.
-3*(q - 4)*(q - 1)*(q + 1)/4
Let v(i) = 2*i**4 + i**3 + 4*i**2 - i. Let w(b) = -13*b**4 - 57*b**3 - 591*b**2 + 2193*b. Let y(j) = 6*v(j) + w(j). Suppose y(g) = 0. Calculate g.
-27, 0, 3
Let w(a) be the second derivative of -1/4*a**4 - 7/2*a**3 + 0 + 16*a - 9*a**2. Factor w(k).
-3*(k + 1)*(k + 6)
Let x(o) be the third derivative of -o**5/10 + 19*o**4/8 + 5*o**3 + 123*o**2 - 2*o. Factor x(p).
-3*(p - 10)*(2*p + 1)
Let m be (-5)/(11 - 6)*-5. Let q(v) be the third derivative of 0*v**m + v**2 + 0*v + 0*v**3 - 3/40*v**6 + 1/2*v**4 - 1/70*v**7 + 0. Factor q(g).
-3*g*(g - 1)*(g + 2)**2
Suppose -3*r - 269 + 248 = -3*x, 5*r + 4*x - 28 = 0. Factor 1/3*s**4 + r - 8/3*s + 4*s**2 - 2*s**3.
s*(s - 2)**3/3
Let w(l) = l**2 + 55*l + 297. Let x be w(-49). Let v(g) be the first derivative of -1/6*g**4 - 2*g - 2/9*g**x + 9 + 5/3*g**2. Factor v(j).
-2*(j - 1)**2*(j + 3)/3
Suppose 0 = 4*g + 77*f - 78*f - 24, -4*f + 9 = 5*g. Find v such that g*v + 3 + 3/4*v**2 = 0.
-6, -2/3
Determine t so that 0 + 0*t - 18/5*t**3 + 3/5*t**5 + 0*t**2 - 3/5*t**4 = 0.
-2, 0, 3
Suppose -18 = 4*c - c. Let u be c/(-9)*(-63)/(-6). Factor -8 + 2*m**2 + 6 - 9*m**3 + u*m + 2*m**3.
-(m - 1)*(m + 1)*(7*m - 2)
Let w(s) be the first derivative of 5*s**6/6 + s**5 - 15*s**4/2 - 20*s**3/3 + 20*s**2 - 39. Factor w(y).
5*y*(y - 2)*(y - 1)*(y + 2)**2
What is q in 20*q**3 + 16/7*q**4 - 1728/7*q + 432/7 - 36/7*q**2 = 0?
-6, 1/4, 3
Suppose -59 = 5*z + 121. Let u = 332/9 + z. Factor u + 8/9*a + 2/9*a**2.
2*(a + 2)**2/9
Let l(q) be the first derivative of 2*q**3/3 + 86*q**2 + 3698*q - 105. Factor l(x).
2*(x + 43)**2
Factor 8641 + 289113 - 2656*t + 318*t**2 - 14198*t - 2*t**3.
-2*(t - 53)**3
Let k(p) = -p**2 + 49*p + 41. Let q(h) = 2*h**2 - 96*h - 83. Let a(u) = 10*k(u) + 6*q(u). Factor a(r).
2*(r - 44)*(r + 1)
Let n(r) = -r**3 - r**2 + r. Let j be n(-2). Let z = -1 + 3. Suppose -35 + 35 - 3*d**3 + 3*d**j - z*d**2 = 0. Calculate d.
0, 1/3
Find v, given that 0 + 16/3*v + 20/3*v**2 + 4/3*v**3 = 0.
-4, -1, 0
Let f = 9427 - 9427. Factor 0 + 2/5*l**3 + f*l + 2/5*l**2.
2*l**2*(l + 1)/5
Let h(n) = 3*n**2 + 82*n + 4. Let b(i) = 13*i**2 + 334*i + 18. Let o(w) = 2*b(w) - 9*h(w). Suppose o(y) = 0. What is y?
-70, 0
What is y in 197*y**2 - 3*y**3 - 19*y**3 - 18*y**3 + 0*y**4 - 89*y**2 + 4*y**4 - 72*y = 0?
0, 1, 3, 6
Suppose 4 = -3*k + 2*k - 2*y, -4*y - 12 = 0. Let m = 716 - 2140/3. Find u, given that -2/3*u**k - 8/3*u - m = 0.
-2
Let x(g) be the second derivative of g**7/14 - g**6/10 - 9*g**5/20 + g**4/4 + g**3 + 43*g - 2. Suppose x(c) = 0. What is c?
-1, 0, 1, 2
Suppose 28*c - 23*c - 65 = 0. Let j(w) = -3*w**2 + 38*w + 15. Let n be j(c). Determine r, given that -8/3*r**n + 8/3*r**3 + 0*r + 0 - 2/3*r**4 = 0.
0, 2
Suppose 2*a - 9 = -a + 5*v, -4*v = 4*a - 12. Determine k, given that -214 - 27*k + 190 + 0*k + a*k**2 - 6*k**2 = 0.
-8, -1
Let b(p) be the third derivative of p**5/60 + 11*p**4/4 + 363*p**3/2 - 101*p**2 + p. Determine d, given that b(d) = 0.
-33
Let z = 2012/603 + -2/603. Let l = z + 0. Factor -2/3 + 4/3*p**3 + 8/3*p - l*p**2.
2*(p - 1)**2*(2*p - 1)/3
Let y(r) = -16*r**3 + 19*r**2 + 44*r + 24. Let i(c) = 236*c**3 - 284*c**2 - 660*c - 360. Let d(n) = -3*i(n) - 44*y(n). Factor d(q).
-4*(q - 6)*(q + 1)**2
Let q(k) be the second derivative of -5*k**8/672 + k**7/140 + 10*k**2 + 11*k. Let s(x) be the first derivative of q(x). Let s(a) = 0. What is a?
0, 3/5
Let p(u) be the second derivative of u**4/12 + 32*u**3/3 - 65*u**2/2 - 131*u + 1. Factor p(a).
(a - 1)*(a + 65)
Let c be 2 - (0 + -1) - 1/(-1). Solve -4*i**3 + c*i - 104*i**2 + 104*i**2 = 0 for i.
-1, 0, 1
Suppose 14*p = 20*p - 24. Let s(r) be the second derivative of 0*r**3 - 3*r + 0*r**2 - 1/4*r**p + 0. Suppose s(o) = 0. Calculate o.
0
Factor -16*s**2 + 2/9*s**4 - 4/9*s**3 - 1280/9 + 832/9*s.
2*(s - 4)**3*(s + 10)/9
Let v(l) = l**2 - 11*l - 11. Let g be v(12). Factor -6*h**3 - 2 - 3*h + 5*h**3 + 3*h**2 + g + 2.
-(h - 1)**3
Factor 45/4*n**3 + 6*n**2 + 25/4*n**4 + 0 + n.
n*(n + 1)*(5*n + 2)**2/4
Let x be (-30)/(0 + -3) + (-60)/8. Factor -1/2*q**2 + x*q**3 - q**4 + 0 - q.
-q*(q - 2)*(q - 1)*(2*q + 1)/2
Let i(l) be the first derivative of l**6/15 + 2*l**5/5 + l**4 + 4*l**3/3 + l**2 + 3*l + 7. Let m(w) be the first derivative of i(w). Let m(j) = 0. Calculate j.
-1
Let q be (15/10)/((-5)/((-100)/255)). Factor 8/17*o**4 + q + 30/17*o**2 + 26/17*o**3 + 14/17*o.
2*(o + 1)**3*(4*o + 1)/17
Let l = 1024/10089 - -2/531. Let h = 100/133 + l. Factor -3/7*g - 3/7 + h*g**2.
3*(g - 1)*(2*g + 1)/7
Let w be (0 - (4 + 4 + -4)) + 4. Determine j so that -1/2*j + 0*j**2 + w + 1/2*j**3 = 0.
-1, 0, 1
Suppose 25*b**2 + 15/2*b - 135 + 5/2*b**3 = 0. What is b?
-9, -3, 2
Let i(j) be the third derivative of -j**6/30 - j**5/2 + 4*j**4 - 20*j**3/3 - 2*j**2 + 58*j. Let i(k) = 0. Calculate k.
-10, 1/2, 2
Let h(y) be the third derivative of 10/39*y**3 + 1/455*y**7 - 27*y**2 - 1/30*y**5 + 0 + 0*y - 1/60*y**6 + 1/12*y**4. What is z in h(z) = 0?
-1, -2/3, 1, 5
Let y = 132 - 116. Suppose -y*d + 5 = -11*d. Factor -1/4*c**2 + c - 1/4*c**3 + d.
-(c - 2)*(c + 1)*(c + 2)/4
Suppose 5*o = -5*o + 40. What is u in 15*u**4 + 3 - 3 + 15*u**3 - 20*u**o = 0?
0, 3
Factor 0*p + 38/3*p**4 - 70/3*p**3 + 34/3*p**2 + 0 - 2/3*p**5.
-2*p**2*(p - 17)*(p - 1)**2/3
Let h(z) be the third derivative of z**7/42 - z**6/24 - 7*z**5/4 + 75*z**4/8 - 132*z**2 - z. Let h(a) = 0. What is a?
-5, 0, 3
Let j = 18307 - 54919/3. Determine y, given that j*y - 4/3*y**2 + 0 + 2/3*y**3 = 0.
0, 1
Let v(m) = m**5 + m**4 + m**3 + m**2 + 2. Let d(t) = 4*t**5 - t**4 + 2*t**3 + 7*t**2 + 6. Let s(q) = d(q) - 3*v(q). Factor s(y).
y**2*(y - 4)*(y - 1)*(y + 1)
Let s be -5*((-72)/(-20) + -4). Determine p so that -s*p - 2*p**4 - 2*p**3 - 7 + 3 + 3*p**3 + 6*p**2 + p**3 = 0.
-1, 1, 2
Let x(f) = 0 + 6*f**2 + 25*f**3 - 41*f**2 + 2 - 4*f + 16*f. Let a(z) = 25*z**3 - 35*z**2 + 13*z + 3. Let b(k) = -2*a(k) + 3*x(k). Find t such that b(t) = 0.
0, 2/5, 1
Let j(l) be the second derivative of -1/336*l**7 + 0 + 8*l + 1/80*l**5 - 1/48*l**3 + 1/48*l**4 - 1/16*l**2 - 1/240*l**6. Factor j(a).
-(a - 1)**2*(a + 1)**3/8
Factor -6413*t**2 - 11*t**4 - t**4 + 6416*t**2 - 9*t**3.
-3*t**2*(t + 1)*(4*t - 1)
Suppose 4/9*r**2 + 212/9 - 24*r = 0. Calculate r.
1, 53
Suppose 34*v - 90*v = -1 + 1. Factor 6/7*q**3 + 0 + 0*q**2 + 2/7*q**4 + v*q.
2*q**3*(q + 3)/7
Let y(d) be the second derivative of d**6/60 - d**5/5 + d**4/4 + 2*d**3/3 - 7*d**2/4 + 2*d - 49. Factor y(o).
(o - 7)*(o - 1)**2*(o + 1)/2
Let d = 175/72 - 19/8. Let g(y) be the first derivative of -1/6*y**2 - 4 - 2/15*y**5 + d*y**6 + 0*y**4 + 0*y + 2/9*y**3. Factor g(v).
v*(v - 1)**3*(v + 1)/3
Let u(v) = -v**3 + v**2 - 1. Let p(w) = -w - 8*w**3 + 0*w - w**4 + 6*w**2 - 5 + 6*w**3. Let m(x) = -p(x) + 3*u(x). Solve m(l) = 0.
-1, 1, 2
Let o(c) = -3*c - 2. Let n be o(-9). Suppose -3*y = 