in y(k) = 0?
-30, 0
Let o(d) = -10*d**3 - 845*d**2 - 55*d. Let r(k) = k**3 + 94*k**2 + 6*k. Let q(a) = 6*o(a) + 55*r(a). Factor q(h).
-5*h**2*(h - 20)
Let t = -1360 + 1362. Let h(o) be the first derivative of 0*o - 1/10*o**4 - 10 - 2/15*o**3 + 1/5*o**t + 2/25*o**5. Let h(g) = 0. What is g?
-1, 0, 1
Let n(l) = -6*l**3 - 21*l**2 - 39*l - 24. Let u(d) = -11*d**3 - 42*d**2 - 80*d - 49. Let w(g) = -5*n(g) + 3*u(g). Factor w(y).
-3*(y + 1)*(y + 3)**2
Let c(q) be the first derivative of -9/4*q**4 - 3/5*q**5 + 17 + 0*q**3 + 0*q + 6*q**2. Factor c(d).
-3*d*(d - 1)*(d + 2)**2
Let x(y) = y**2 + 2. Let w(s) = -8*s**2 + 9*s + 8. Let n(i) = 4*w(i) + 28*x(i). Determine m so that n(m) = 0.
-2, 11
Let k(h) be the third derivative of -11*h**7/840 + 41*h**6/160 - 143*h**5/120 + h**4/2 - 853*h**2. Suppose k(w) = 0. What is w?
0, 2/11, 3, 8
Let h = -19 + 3. Let v = 20 + h. Factor -6*g**3 + g**3 + v*g + 6*g**3 + 4*g**2.
g*(g + 2)**2
Let l be 8/16*((-8)/2 - -4). Find r, given that 9/2*r**3 + l*r + 3*r**2 + 3/2*r**4 + 0 = 0.
-2, -1, 0
Let m(v) be the first derivative of -1/330*v**5 + 1/11*v**3 + 0*v + 3/2*v**2 + 5 + 1/66*v**4. Let g(a) be the second derivative of m(a). Factor g(r).
-2*(r - 3)*(r + 1)/11
Let i(g) be the first derivative of -g**5/270 - 5*g**4/54 - 25*g**3/27 - 13*g**2/2 + 2. Let c(v) be the second derivative of i(v). Factor c(m).
-2*(m + 5)**2/9
Let f(m) = 2*m**2 + 2*m - 2. Let o(c) = 5*c**2 + 22*c + 77. Let z(t) = 6*f(t) - 3*o(t). Find v such that z(v) = 0.
-9
Let g(d) be the second derivative of -2*d**6/15 - 7*d**5/5 + 13*d**4 + 190*d**3/3 + 100*d**2 - d + 56. Factor g(w).
-4*(w - 5)*(w + 1)**2*(w + 10)
Suppose 2*t - 11 = 3*j, -5 = j - 2. Factor -t - 3 + 12*i - 108*i**2 + 124*i**2.
4*(i + 1)*(4*i - 1)
Let s(o) = -o**2 + 3*o - 4*o - 6 + 5*o + 2*o. Let c be s(4). Suppose -94*g**2 - 128*g**5 + 95*g**4 - c + 100*g**3 + g**4 + 24*g + 4*g**3 = 0. Calculate g.
-1, 1/4, 1
Factor -13 - 13 + 14*k**4 + 12*k**3 - 6*k**5 + 14 + 12.
-2*k**3*(k - 3)*(3*k + 2)
Let h be (-14)/9*(-354)/413. Solve 2/9*x + 46/9*x**3 + 50/9*x**2 - h + 10/9*x**4 = 0.
-3, -1, 2/5
Let p(j) = -j**2 + j + 1. Let b(h) = 27*h**3 + 1170*h**2 + 741*h + 108. Let c(t) = -b(t) - 18*p(t). Factor c(s).
-3*(s + 42)*(3*s + 1)**2
Let u be -2 + (3 - (-4 - -6)). Let c(s) = 5*s**4 + 5*s**3 - 7*s**2 - 9*s + 2. Let f(o) = o**4 + o**3 - o**2 - o + 1. Let l(j) = u*c(j) + 4*f(j). Factor l(n).
-(n - 2)*(n + 1)**3
Suppose 26 = 4*u + 5*b, -3*u + u = -4*b. Suppose 3*g + 1 = -4*y - 5, 0 = 2*g + u. Suppose 0*s**3 - 1/4*s**4 - 1/4*s**5 + 0*s**2 + 0 + y*s = 0. What is s?
-1, 0
Let 126/13 - 380/13*k + 6/13*k**2 = 0. Calculate k.
1/3, 63
Factor -8/3*i**2 + 0*i - 26/3*i**4 + 0 - 32/3*i**3 - 2*i**5.
-2*i**2*(i + 2)**2*(3*i + 1)/3
Suppose -6*q = -41 + 11. Suppose -36 = q*l - 17*l. Factor -2/5*u**2 + 2/5*u**4 - 2/5*u**l + 0 + 2/5*u**5 + 0*u.
2*u**2*(u - 1)*(u + 1)**2/5
Suppose -3*y = -3*l - 3, -4*y + 3 = -1. Suppose h + 4*h = l. Factor h + 0*s - 1/4*s**2 - 1/4*s**3.
-s**2*(s + 1)/4
Suppose 2*n = -2*g + 86, 5*g - 175 = 3*n - 0*n. Suppose 36*c - g*c + 4 = 0. What is m in 3/2*m**c + 0 - m - 1/2*m**4 + 0*m**3 = 0?
-2, 0, 1
Let z(v) be the second derivative of -v**7/126 + v**6/30 + v**5/60 - 11*v**4/36 + 2*v**3/3 - 2*v**2/3 + 72*v. Factor z(d).
-(d - 2)*(d - 1)**3*(d + 2)/3
Let z(p) = 8*p**3 + 6*p**2 - 20*p + 6. Let t(o) = -32*o**3 - 24*o**2 + 81*o - 25. Let y(r) = 4*t(r) + 18*z(r). Find f such that y(f) = 0.
-2, 1/4, 1
Let i(l) = -4*l + 5. Let m be i(0). Let q(c) be the second derivative of -c + 0*c**3 + 1/20*c**m - 1/42*c**7 + 0 + 0*c**2 - 1/6*c**4 + 1/15*c**6. Factor q(z).
-z**2*(z - 2)*(z - 1)*(z + 1)
Suppose 0 = -2*n + 46*l - 49*l + 4, 2*n - l = 4. Let f(i) be the first derivative of 3 + 27/2*i**n + 0*i + 6*i**3 + 3/4*i**4. Determine q so that f(q) = 0.
-3, 0
Let b(u) be the first derivative of 3*u**4/8 + 83*u**3/2 - 63*u**2 - 662. Determine p, given that b(p) = 0.
-84, 0, 1
Let y(v) be the third derivative of -25/6*v**4 + 4*v**2 + 0 + 0*v + 10/3*v**3 + 25/12*v**5. Determine o so that y(o) = 0.
2/5
Let i(q) be the second derivative of -q**4/78 + q**3/39 + 42*q**2/13 + 47*q - 1. Factor i(z).
-2*(z - 7)*(z + 6)/13
Let k(m) = 18*m**3 - 12*m**2 - 3*m. Let j(g) = g**3 - g**2 - g. Let p(x) = -3*j(x) - k(x). Solve p(u) = 0 for u.
-2/7, 0, 1
Let o(w) = w**2 + 42*w - 551. Let t(l) = -3*l**2 - 111*l + 1470. Let m(k) = 21*o(k) + 8*t(k). Factor m(q).
-3*(q - 7)*(q + 9)
Let k(r) be the third derivative of r**8/2240 - r**7/420 + r**6/240 - 7*r**4/24 + 29*r**2. Let y(a) be the second derivative of k(a). Factor y(s).
3*s*(s - 1)**2
Let a(c) = 2*c**3 + c**2 + c + 4. Let n be a(0). Let g(y) be the second derivative of -1/8*y**3 + 0*y**2 - 1/16*y**n + 0 - 6*y. Factor g(h).
-3*h*(h + 1)/4
Suppose -22*q - 6101 - 763 = 0. Let g = 315 + q. Factor -2/3*z**g - 10/3*z**2 - 8/3 - 16/3*z.
-2*(z + 1)*(z + 2)**2/3
Factor 7/3*g + 1/9*g**2 + 38/9.
(g + 2)*(g + 19)/9
Let t(d) be the third derivative of -d**8/6720 + d**7/315 - 23*d**4/24 - 17*d**2. Let w(c) be the second derivative of t(c). Determine o so that w(o) = 0.
0, 8
What is n in 14/3*n**3 + 0 + 0*n - 4*n**4 - 2/3*n**5 + 0*n**2 = 0?
-7, 0, 1
Let p(k) be the first derivative of -22*k**2 + 12*k + 44/3*k**3 - k**4 - 8/5*k**5 - 9. Find h such that p(h) = 0.
-3, 1/2, 1
Let u(d) = -9*d**2 - 18*d - 8. Let p(a) = -9*a**2 - 2*a - 9. Let r(o) = -4*o**2 - o - 4. Let v(z) = -3*p(z) + 7*r(z). Let j(n) = -u(n) + 5*v(n). Factor j(w).
(w + 3)*(4*w + 1)
Let v(t) be the third derivative of -t**7/3360 + t**6/720 - t**5/480 + 8*t**3/3 + 11*t**2. Let a(r) be the first derivative of v(r). Factor a(p).
-p*(p - 1)**2/4
Let s(q) = -16*q**3 + 5*q**2 + 11*q - 11. Let y(m) = 3*m**3 - m**2 - 2*m + 2. Let a be ((-16)/(-6))/((-42)/(-63)). Let g(b) = a*s(b) + 22*y(b). Factor g(k).
2*k**2*(k - 1)
Let h be (-3)/(-12)*-1 + (-22767)/(-20412). Let b = h + -2/243. Factor -3/7*r**2 + 0 + b*r.
-3*r*(r - 2)/7
Let v(w) be the second derivative of -w**6/105 - w**5/5 - 32*w**4/21 - 32*w**3/7 + 233*w. Factor v(h).
-2*h*(h + 4)**2*(h + 6)/7
Let p(o) = -o**3 + 8*o**2 - 17*o + 6. Let s be p(4). Factor 8*f**s + 0 - 16/5*f + 6/5*f**4 - 28/5*f**3.
2*f*(f - 2)**2*(3*f - 2)/5
Let s be -1*3/6*-2. Let u be ((-5)/3)/((-56)/(-24)) + s. Determine x so that u - 5/7*x**3 - 1/7*x - 8/7*x**2 = 0.
-1, 2/5
Let i(z) = 5*z**3 - 118*z**2 + 85*z + 360. Let r(b) = -2*b**3 + 56*b**2 - 42*b - 180. Let t(h) = 6*i(h) + 13*r(h). Factor t(m).
4*(m - 3)*(m + 3)*(m + 5)
Suppose 2*g - 4 = 0, -2*d - 2*g = -7*g + 4. Suppose d*a + 2*a = 10. Factor 5*w + 0*w**a - 8*w + 3*w**2 - 6.
3*(w - 2)*(w + 1)
Suppose 0*p + 8 = 2*p. Factor h**2 + 16*h - 3*h**2 - h**2 - 4*h**p + 12 - 16*h**3 - 5*h**2.
-4*(h - 1)*(h + 1)**2*(h + 3)
Let a be 135/(-12)*(-9 - -5). Factor 33*h**2 - 15 - a*h**2 + 40*h**3 + 50*h - 10*h**3 - 48*h**2 - 5*h**4.
-5*(h - 3)*(h - 1)**3
Suppose -24 = 518*o - 526*o. Let k(l) be the first derivative of -1/6*l**4 - 1/18*l**6 - 1/5*l**5 + 0*l**o + 0*l**2 + 0*l + 6. Find b such that k(b) = 0.
-2, -1, 0
Let o(h) be the second derivative of h**6/1260 + h**5/140 - 11*h**3/6 + 2*h. Let s(n) be the second derivative of o(n). Solve s(v) = 0.
-3, 0
Determine o, given that -21*o - o**2 + 11*o - 42*o + 56 - 3*o**2 = 0.
-14, 1
Let u(z) be the second derivative of z**10/6048 - z**8/448 + z**7/252 + z**4/3 + 14*z. Let k(q) be the third derivative of u(q). Factor k(t).
5*t**2*(t - 1)**2*(t + 2)
Let u(t) be the second derivative of 4*t**5/25 + 13*t**4/15 + 22*t**3/15 + 4*t**2/5 + 28*t. Solve u(y) = 0 for y.
-2, -1, -1/4
Let y(r) be the first derivative of -27/4*r + 9/4*r**2 + 10 - 1/4*r**3. Determine s so that y(s) = 0.
3
Let g = 7 + -7. Suppose -8*x + g*x + 208 = 0. Factor -75*o + x*o**3 + 120*o**2 + 10 - 11*o**3 + 65*o**3.
5*(o + 2)*(4*o - 1)**2
Let d be ((-6)/(-11))/(2580/3784). What is u in 6/5*u + 2/5 + d*u**2 = 0?
-1, -1/2
Let f(n) be the third derivative of 0 + 1/30*n**5 + 1/6*n**4 + 0*n + 0*n**3 - 45*n**2. What is x in f(x) = 0?
-2, 0
Let j = 1392 + -1392. Let x(g) be the third derivative of 1/168*g**8 + 0*g + 0 + j*g**4 + 0*g**6 + 1/35*g**7 - 2/15*g**5 + 0*g**3 + g**2. Factor x(p).
2*p**2*(p - 1)*(p + 2)**2
Factor 1/2*t**5 + 0*t**3 + 0*t + 0*t**2 - 1/2*t**4 + 0.
t**4*(t - 1)/2
Let p(c) = -12*c**2 + 10*c - 32. Let h(n) = n**2 + n. Let t(i) = -20*h(i) - 2*p(i). Factor t(d).
4*(d - 