of -p**4/12 + 8*p**3/9 + p**2/2 - 30*p + 936. What is q in d(q) = 0?
-3, 5, 6
Let h(c) = 2*c**2 + 58*c + 383. Let k be h(-10). Let g(w) be the second derivative of 1/12*w**4 + 1/2*w**2 + 0 - 23*w - 1/3*w**k. Factor g(s).
(s - 1)**2
Let z = 137 + -138. Let b be (2/(-24))/((-2)/(z + 7)). Factor -3/4*t**4 + 1/4*t**5 + b - 3/4*t + 1/2*t**3 + 1/2*t**2.
(t - 1)**4*(t + 1)/4
Let y(c) be the second derivative of -225/22*c**2 + 38 + 2*c + 5/11*c**3 - 1/132*c**4. What is f in y(f) = 0?
15
Factor 2/5*x**2 + 22472/5 - 424/5*x.
2*(x - 106)**2/5
Suppose 0 = 3*c + 5*j + 191 + 24, -225 = 3*c + 3*j. Let h be (-152)/c - -4*(-3)/8. Factor 0 + h*f**2 + 8/5*f.
2*f*(f + 4)/5
Let g(o) be the third derivative of 5*o**8/336 - 2*o**7/35 - 13*o**6/40 + 61*o**5/30 - 3*o**4/2 - 12*o**3 - 393*o**2. Factor g(h).
(h - 2)**3*(h + 3)*(5*h + 3)
Let o(u) be the second derivative of 1/42*u**4 + 74*u + 3/7*u**2 + 0 - 4/21*u**3. Factor o(v).
2*(v - 3)*(v - 1)/7
Let m(g) be the first derivative of -g**7/3780 - g**6/270 + g**5/540 + g**4/18 - 2*g**3/3 + 10*g**2 + 19. Let h(c) be the third derivative of m(c). Factor h(f).
-2*(f - 1)*(f + 1)*(f + 6)/9
Let p(b) be the second derivative of -227 + 2*b**3 - 5/6*b**4 + 0*b**2 - 1/10*b**5 - b. Determine w, given that p(w) = 0.
-6, 0, 1
Let l(p) be the second derivative of 0 + 1/80*p**6 + 11*p - 1/4*p**5 + 15/2*p**2 + 25/16*p**4 + 0*p**3. Let i(o) be the first derivative of l(o). Factor i(r).
3*r*(r - 5)**2/2
Let n(i) = -34*i**3 - 688*i**2 + 1408*i - 742. Let u(r) = 15*r**3 + 345*r**2 - 705*r + 369. Let s(o) = 3*n(o) + 7*u(o). Let s(p) = 0. What is p?
-119, 1
Let c(o) = 2*o**3 + 9*o**2 - 4*o - 29. Let u be c(-4). Suppose 0 = -9*f + 5*f - 4*a, 0 = u*f - 4*a. Solve -1/4*w**3 + 0 + 1/8*w**2 + f*w + 1/8*w**4 = 0.
0, 1
Suppose -2*j - 171*j + 782 = 90. Factor -4/5*h + 0 - 1/5*h**j + 0*h**2 + 3/5*h**3.
-h*(h - 2)**2*(h + 1)/5
Let w(d) be the first derivative of d**6/300 - 8*d**5/75 + 16*d**4/15 + 121*d**2 + 299. Let o(p) be the second derivative of w(p). Factor o(k).
2*k*(k - 8)**2/5
Let r = 21782/273 - 1036/13. Solve r*l**2 + 2/21*l**3 + 0 - 4/21*l = 0 for l.
-2, 0, 1
Let q = -2190 - -337259/154. Let p = q - -619/462. What is d in 0 - p*d - 2/3*d**2 + 2/3*d**3 = 0?
-1, 0, 2
Determine a so that 660*a**2 + 1175 + 211*a + 5*a**4 + 69*a**3 + 181*a**3 - 2301*a = 0.
-47, -5, 1
Let t(h) be the first derivative of -8/3*h**3 + 4/5*h**5 + 5 - 4*h + h**4 - 8*h**2 + 2/15*h**6. Let z(y) be the first derivative of t(y). Factor z(o).
4*(o - 1)*(o + 1)*(o + 2)**2
Let h(y) = -29*y + y**2 - 6 + 8 + 29*y. Let p(c) = 11*c**2 - 40*c + 92. Let u(d) = 6*h(d) - p(d). Factor u(n).
-5*(n - 4)**2
Let p(a) = -12*a**4 + 201*a**3 + 1001*a**2 - 1239*a + 7. Let y(c) = 3*c**4 + 2*c**2 + 2*c - 1. Let w(s) = -4*p(s) - 28*y(s). Find m, given that w(m) = 0.
-35/3, 0, 1
Let d = 2841/905 + -532/181. Factor 0 + 0*x - d*x**2.
-x**2/5
Let h = 64/215 + 1/430. Let f(z) be the third derivative of -h*z**3 + 0*z + 1/20*z**4 + 0 - 1/300*z**5 - z**2. Determine n, given that f(n) = 0.
3
What is o in 3/4*o**3 + 19845/4*o**2 + 32162295375/4 + 43758225/4*o = 0?
-2205
Let g(v) be the first derivative of -v**4/8 - 155*v**3/6 + 118*v**2 - 158*v - 864. Factor g(y).
-(y - 2)*(y - 1)*(y + 158)/2
Suppose 45*v + 15 = 48*v. Let j(k) be the first derivative of k**5 + 10/3*k**3 - 15*k - 10*k**2 + v*k**4 - 5. Factor j(y).
5*(y - 1)*(y + 1)**2*(y + 3)
Let n = 270 + -272. Let k be n/10 - ((-2807)/385 - -4). Factor 42/11*l**2 + 4/11 + k*l.
2*(3*l + 2)*(7*l + 1)/11
Let m(g) be the first derivative of 2*g**5/5 + 9*g**4/2 - 44*g**3/3 + 3730. Factor m(a).
2*a**2*(a - 2)*(a + 11)
Factor -1830609/2*b + 275201553 - 3/8*b**3 + 4059/4*b**2.
-3*(b - 902)**3/8
Let m(a) be the third derivative of a**7/210 - 23*a**6/20 - 93*a**5/20 - 35*a**4/6 - 8569*a**2. Determine h, given that m(h) = 0.
-1, 0, 140
Suppose 111*d = 57*d + 324. Let o(c) be the second derivative of d*c**2 + 0 - 37/6*c**3 - 22*c + 1/4*c**4. Determine k, given that o(k) = 0.
1/3, 12
Suppose 113 = 17*f - 533. Solve 193*n**2 + 6*n**5 + 465*n + 242*n**2 - 34*n**2 - 39*n**4 + 150 - 42*n**2 - 39*n**3 - f*n**2 = 0.
-2, -1, -1/2, 5
Factor -1905*p - 779*p - 2274*p - 3*p**2 - 1631*p - 2066700 + 1609*p.
-3*(p + 830)**2
Let l(a) be the second derivative of 6*a - 1/3*a**4 + 1/21*a**7 - 1/10*a**5 + 0*a**3 - 4 + 0*a**2 + 2/15*a**6. Factor l(c).
2*c**2*(c - 1)*(c + 1)*(c + 2)
Let u(c) = 3*c**2 + 13*c + 26. Let z be u(11). What is a in -98*a**5 - 554*a**3 - 573*a + 456*a**2 - z*a**4 + 243*a + 258*a = 0?
-3, 0, 2/7
Let z(t) be the second derivative of t**7/1764 - 11*t**6/2520 - 5*t**4/4 - 7*t**3/6 + 17*t - 2. Let l(q) be the third derivative of z(q). Factor l(a).
2*a*(5*a - 11)/7
Let f(m) be the first derivative of 2/21*m**3 + 0*m + 0*m**2 - 1/14*m**4 + 66. What is r in f(r) = 0?
0, 1
Let b(l) = 7*l**3 + 243*l**2 - 3476*l + 3174. Let z(u) = 3*u**3 + 123*u**2 - 1737*u + 1587. Let q(m) = 6*b(m) - 13*z(m). Factor q(y).
3*(y - 23)**2*(y - 1)
Let w(q) = -7 - 4 + 2 - q**2 + 8. Let a(u) be the first derivative of -u**4/2 + 2*u**3 + 6*u - 1. Let z(r) = a(r) + 6*w(r). Factor z(h).
-2*h**3
Let g = -86 + 88. Suppose 10*x**3 + 2*x - 11*x**3 + 3*x**2 + 0*x - g*x**2 = 0. Calculate x.
-1, 0, 2
Let j(k) = k**4 - k**3 - k**2 - k + 1. Let d(b) = -6*b**4 + 18*b**3 + 18*b**2 - 12*b + 3. Let p(h) = -d(h) + 3*j(h). Factor p(l).
3*l*(l - 3)*(l + 1)*(3*l - 1)
Let k(o) be the first derivative of -3*o**6 - 4*o**5 + 9*o**4 + 40*o**3/3 - 9*o**2 - 20*o - 1141. Determine h, given that k(h) = 0.
-10/9, -1, 1
Let g(c) be the first derivative of -13*c**4/8 - 31*c**3/6 - 23*c**2/4 - 5*c/2 + 2110. Factor g(d).
-(d + 1)**2*(13*d + 5)/2
Solve 1499*z - 4186125 + 25*z**2 + 10*z**2 + 7651*z - 40*z**2 = 0 for z.
915
Let j = -455/158 + 1057/79. Find a, given that -2*a**5 + 0 + 8*a**4 - j*a**3 - a + 11/2*a**2 = 0.
0, 1/2, 1, 2
Determine j so that -328*j**3 + 22 + 29 + 36*j**4 + 29 - 219*j**2 - 816*j + 573*j**2 + 546*j**2 = 0.
1/9, 2, 5
Let o = 62 + -16. Let x(l) = -o*l + 46*l + 1 + l**2. Let g(a) = -5*a**3 - 13*a**2 + 25*a + 27. Let p(q) = g(q) + 3*x(q). Determine c, given that p(c) = 0.
-3, -1, 2
Let h be (-17)/((-153)/(-84)) + 10/(-15). Let o be (h/(-4))/((-5)/(-15)). Determine s, given that 5/4*s**2 + 25/4*s + o = 0.
-3, -2
Let t(n) be the second derivative of -16/7*n**2 + 4/21*n**3 + 1/35*n**5 - 25*n + 0 + 5/21*n**4. Factor t(j).
4*(j - 1)*(j + 2)*(j + 4)/7
Let u(j) = 48*j**2 + 61*j + 32. Let o(g) = 101*g**2 + 120*g + 63. Let h(x) = -4*o(x) + 9*u(x). Let h(y) = 0. What is y?
-12/7, -3/4
Let g be (994/(-70) - -19) + (-1)/15*-3. Suppose 0 + 6/11*i**3 - 2/11*i**g - 2/11*i**4 + 2/11*i**2 - 4/11*i = 0. What is i?
-2, -1, 0, 1
Let y(p) = -2105*p + 4214. Let w be y(2). Factor 0 - 15/4*o**3 - 3/4*o**w + 27/4*o - 9/4*o**2.
-3*o*(o - 1)*(o + 3)**2/4
Let g(v) be the first derivative of 2*v**3/9 - 118*v**2/3 - 242*v - 4458. Find p, given that g(p) = 0.
-3, 121
Let v be (31*6/279)/(2/43) + 4. Let -10*x**4 - v*x**3 + 40/3 - 10/3*x**2 + 20*x - 5/3*x**5 = 0. Calculate x.
-2, -1, 1
Let u(l) be the second derivative of 1/80*l**6 + 3/20*l**5 + 0*l**3 - 9 + 0*l**2 + 1/2*l**4 - 2*l. Suppose u(a) = 0. Calculate a.
-4, 0
Let q = 7373 - 7366. Let v(r) be the third derivative of 0 - 6*r**2 - 1/1320*r**6 + 0*r**3 + 0*r**5 + 0*r - 1/2310*r**q + 0*r**4. Factor v(h).
-h**3*(h + 1)/11
Suppose -36 = -20*f + 24*f, 0 = 3*l - 3*f - 36. Let b(r) be the first derivative of 3/16*r**2 - 20 - 3/8*r - 3/32*r**4 + 1/8*r**l. Solve b(j) = 0.
-1, 1
Let n(s) be the third derivative of -80*s**2 - 1/105*s**7 + 11/2*s**4 + 15*s**3 + 0 - 2*s + 2/3*s**5 - 1/30*s**6. Factor n(p).
-2*(p - 5)*(p + 1)*(p + 3)**2
Let v(w) be the third derivative of w**5/30 - 13*w**4/6 - 41*w**3/6 + 82*w**2. Let h(k) = k**2 - 26*k - 21. Let n(b) = 13*h(b) - 6*v(b). What is m in n(m) = 0?
-1, 27
Solve -20 - 9*m + 1/2*m**3 + 3/2*m**2 = 0.
-5, -2, 4
Let p be 2*((-1)/(-4) + 30/24). Suppose 3*i**3 - 6*i - 934 + p*i + 42*i**2 + 892 = 0. What is i?
-14, -1, 1
Let c(v) be the third derivative of -v**6/60 + 218*v**5/15 - 15695*v**4/4 - 31974*v**3 + 3935*v**2. Factor c(s).
-2*(s - 219)**2*(s + 2)
Let g be 2/(-9) + (4 - 55/(-45)). Let o be (3/(-6)*2)/((-4)/44). Solve g*k**2 + 5*k + 3*k - o*k - 2 = 0.
-2/5, 1
Factor 63117*i - 554532*i - 5*i**3 - 2715*i**2 - 9493106 + 5631856 - 25787455.
-5*(i + 18