**2 + 114*z**2 + 9*z. Let o be n(-10). Factor -2*b + 4*b**o + 1/2*b**4 + 0 - 5/2*b**3.
b*(b - 2)**2*(b - 1)/2
Let x(l) be the first derivative of 2*l**3/27 - 10*l**2/9 + 32*l/9 + 187. Solve x(z) = 0.
2, 8
Let s be 1590/150 + ((-165)/11 - -14). Let 2/5*u**2 - 28/5*u + s = 0. What is u?
2, 12
Suppose 102 + 2540/13*l - 222/13*l**2 + 4/13*l**3 = 0. What is l?
-1/2, 17, 39
Let r(j) be the first derivative of 5*j**2 - 7*j**5 + 88 + 5*j**3 - 15/4*j**4 - 5/2*j**6 + 0*j. Find a, given that r(a) = 0.
-1, 0, 2/3
Let v be (50/6)/((-8)/(-15)*715/572). Let -2*n**3 + 11*n + v*n**2 - 7/2 = 0. What is n?
-1, 1/4, 7
Let w be (1773/10244)/(3/4) - 3/(-156). Find p, given that w*p**3 - 11/4*p + p**2 + 3/2 = 0.
-6, 1
Let v(k) be the second derivative of -k**6/90 + k**4/6 + 25*k**3/6 - 3*k**2 + 26*k - 3. Let x(s) be the second derivative of v(s). Let x(j) = 0. What is j?
-1, 1
Let g(r) be the first derivative of 11*r**2 + 69 + 36*r + 2/3*r**3. Factor g(p).
2*(p + 2)*(p + 9)
Find f such that 47*f**2 - 5*f**3 - 454*f**4 + 23*f**3 + 455*f**4 + 30*f = 0.
-15, -2, -1, 0
Let a(t) be the second derivative of t**4/138 - 1262*t**3/69 + 398161*t**2/23 - 2*t - 6. Factor a(n).
2*(n - 631)**2/23
Factor -182/5*s**4 + 1/5*s**5 - 714984/5 - 192758/5*s**2 - 918716/5*s + 10791/5*s**3.
(s - 62)**3*(s + 1)*(s + 3)/5
Suppose -2472461*p = -2472411*p. Determine y so that 1/3*y**4 - 100/3*y + p - 14/3*y**3 + 65/3*y**2 = 0.
0, 4, 5
Let o(r) = r + r**3 - 5 + 33*r**2 - 28*r**2 - 3*r. Let a be o(-5). Solve y**2 + 8*y**2 - 6*y**4 + 3*y + 3*y**3 - 3 - y - a*y = 0 for y.
-1, -1/2, 1
Find u, given that 705/2*u**3 - 42483 - 126021/2*u - 3/2*u**4 - 40347/2*u**2 = 0.
-2, -1, 119
Let b be -1 + -1 - (-9 - (-6 - -9) - -8). What is o in -3/2 + 9/2*o**b + 0*o - 3*o**3 = 0?
-1/2, 1
Factor -29*z**2 + 100*z**2 - 1117 + 10*z - 878 - 66*z**2.
5*(z - 19)*(z + 21)
Let i(c) be the second derivative of c**5/25 - 19*c**4/15 - 178*c**3/15 - 138*c**2/5 + 107*c + 5. Determine g, given that i(g) = 0.
-3, -1, 23
Let -10/17*g**5 + 24/17*g**2 + 64/17*g**3 + 6/17*g**4 + 0 + 0*g = 0. What is g?
-2, -2/5, 0, 3
Let -2/5*w**5 - 8192/5*w + 24*w**4 - 1536*w**2 - 1544/5*w**3 + 0 = 0. What is w?
-2, 0, 32
Factor -5 + 18*l**4 + 82*l**3 - 20*l**4 + 26*l**4 + 37*l**2 - 7 - 68*l.
(l + 2)**2*(4*l - 3)*(6*l + 1)
Let o(u) be the second derivative of -98*u - 17/120*u**6 + 1/12*u**3 - 11/48*u**4 + 0*u**2 + 0 + 5/168*u**7 + 21/80*u**5. Find k such that o(k) = 0.
0, 2/5, 1
Factor 9349*o**4 + 24*o**3 - 18701*o**4 + 9354*o**4.
2*o**3*(o + 12)
Suppose -m - 139 + 19 = -31*m. Let o(f) be the second derivative of -f + 1/9*f**3 - 1/18*f**m + 0 + 2/3*f**2. Factor o(i).
-2*(i - 2)*(i + 1)/3
Let w(i) be the first derivative of -5*i**8/336 + 5*i**7/42 + i**2 - 8*i - 68. Let o(p) be the second derivative of w(p). Factor o(b).
-5*b**4*(b - 5)
Let v(w) be the second derivative of -w**6/150 + 43*w**5/100 - 41*w**4/20 + 121*w**3/30 - 4*w**2 + 45*w + 3. What is r in v(r) = 0?
1, 40
Let h(w) be the second derivative of w**6/450 + 3*w**5/50 - w**4/3 + 25*w**3/2 - 14*w. Let m(f) be the second derivative of h(f). What is k in m(k) = 0?
-10, 1
Suppose -3*j - 19 = -2*g - 0*j, 2*g = -4*j - 2. Suppose 45 = g*h + 5*z, 3*z = 3*h + 2*h - 29. Factor -6*k**4 - 3*k**5 + 6*k**2 - k**5 + h*k**5 - 3*k**3.
3*k**2*(k - 2)*(k - 1)*(k + 1)
Let d(v) be the first derivative of v**4/22 - 14*v**3/33 + 2*v**2/11 + 80*v/11 - 2002. Suppose d(q) = 0. What is q?
-2, 4, 5
Let k(q) be the third derivative of 31*q**2 + 17/14*q**3 + 1/20*q**6 - 1/490*q**7 + 0*q + 0 + 25/28*q**4 + 12/35*q**5. Solve k(h) = 0 for h.
-1, 17
Let k(c) be the second derivative of c**4/48 - c**3/12 - 10*c**2 + 4289*c. Factor k(p).
(p - 10)*(p + 8)/4
Let s(i) be the third derivative of 5*i**5/26 + 37*i**4/78 - i**3/39 - 1818*i**2. Find h such that s(h) = 0.
-1, 1/75
Let v(m) = -3*m**3 - 18*m**2 - 337*m - 550. Let q(g) = -85*g**3 - 485*g**2 - 9100*g - 14850. Let s(f) = 2*q(f) - 55*v(f). Suppose s(k) = 0. What is k?
-5, -2, 11
Let z(p) = -3*p**2 + 112*p - 55. Let d be z(37). Let k be 16/d*(-75)/20. Find v such that k*v**3 - 2/3 - 10/3*v + 2/3*v**2 = 0.
-1, -1/5, 1
Let p be 3479/(-3) + -5 + 4. Let b = 1162 + p. Find l such that -2/3*l**2 + b*l + 0 = 0.
0, 2
Let n(y) be the third derivative of -y**6/30 + 19*y**5/5 - 105*y**4/2 + 306*y**3 - y**2 + 114*y. Factor n(b).
-4*(b - 51)*(b - 3)**2
Let l(q) = 2045*q**2 - 4124*q + 243. Let m(s) = 2045*s**2 - 4122*s + 214. Let t(v) = -6*l(v) + 7*m(v). Find r such that t(r) = 0.
4/409, 2
Let q = -413 - -415. Factor -m**3 + q*m**3 - 110*m - 65*m**2 + 125*m + 19*m**3.
5*m*(m - 3)*(4*m - 1)
Let w(x) be the second derivative of x**4/84 + 5*x**3/7 + 100*x**2/7 + 9*x + 25. Let w(h) = 0. Calculate h.
-20, -10
Let o(t) be the first derivative of -t**6/4 + 63*t**5/5 - 1647*t**4/8 + 1134*t**3 - 2187*t**2 - 1521. Factor o(z).
-3*z*(z - 18)**2*(z - 3)**2/2
Let c(p) be the third derivative of -6*p**2 + 1/280*p**6 + 162/7*p**3 + 36/7*p**4 - 3*p + 0 - 1/4*p**5. Let c(w) = 0. Calculate w.
-1, 18
Let u(p) be the first derivative of -p**3/3 + 979*p**2 - 958441*p - 3293. Find t such that u(t) = 0.
979
Let d be -4 + 768/(-42) + (-4)/(-14). Let f = -20 - d. Factor 72*k**f + 16 + 16*k - 31*k**2 - 37*k**2.
4*(k + 2)**2
Let i(z) = z**3 + z**2 - 23*z - 111. Let m be i(6). Let o(g) be the first derivative of 3/8*g**2 - g - 34 + 1/12*g**m. Find a, given that o(a) = 0.
-4, 1
Suppose 93 = 5*n + s, 2*s - 51302 + 51252 = -2*n. Factor n*a**2 - 1/2*a**5 + 5/2 - 13*a**3 + 9/2*a**4 - 21/2*a.
-(a - 5)*(a - 1)**4/2
Find q such that 63/5 - 51/5*q - 3*q**2 + 3/5*q**3 = 0.
-3, 1, 7
Let h(d) be the third derivative of 3 - 1/6*d**4 - d**3 + 1/30*d**5 + 0*d + 6*d**2. Find t, given that h(t) = 0.
-1, 3
Let w(m) = m**3 + 37*m**2 - 31*m - 14. Let f(i) = -i**3 - 56*i**2 + 46*i + 22. Let d(x) = 7*f(x) + 11*w(x). Factor d(c).
c*(c - 1)*(4*c + 19)
Let u(r) be the third derivative of -r**6/180 - r**5/18 + 11*r**4/18 + 56*r**3/9 - r**2 - 30. Find s such that u(s) = 0.
-7, -2, 4
Let q(t) be the first derivative of 1/6*t**4 - 5*t**2 - 1 + 4/3*t**3 - 21*t. Let u(y) be the first derivative of q(y). Factor u(l).
2*(l - 1)*(l + 5)
Let a(g) be the third derivative of -g**6/420 + 31*g**5/42 + 13*g**4/7 - 499*g**2 - 3. Let a(l) = 0. Calculate l.
-1, 0, 156
Let z be (15/3)/(65/26). Let j be (-2)/z*(12 + -11)*0. Factor 1/3*s**4 + 0 + 1/3*s**3 + j*s - 1/3*s**2 - 1/3*s**5.
-s**2*(s - 1)**2*(s + 1)/3
Suppose 3*r + 6 = 3*w - 2*r, 0 = -56*r + 54*r. Let q(z) be the third derivative of 5/12*z**4 - 5/2*z**3 + 0*z - 32*z**w + 0 + 1/12*z**5. Factor q(x).
5*(x - 1)*(x + 3)
Let i(p) = 32*p**2 + 6*p - 11. Let g(z) = 9*z**2 + z + 10*z**2 - 18*z**2 - 1 + z**2. Let a(l) = 6*g(l) - i(l). Factor a(r).
-5*(2*r - 1)*(2*r + 1)
Let k(n) = 85*n**4 - 61*n**3 - 182*n**2 - 68*n + 8. Let u(p) = -85*p**4 + 60*p**3 + 180*p**2 + 75*p - 10. Let y(t) = -5*k(t) - 4*u(t). Let y(a) = 0. What is a?
-1, -4/17, 0, 2
Factor -232/19*r - 2/19*r**2 + 234/19.
-2*(r - 1)*(r + 117)/19
Factor 4000/3 + 2830/3*b**2 - 7400/3*b + 1/6*b**5 + 1081/6*b**3 + 29/3*b**4.
(b - 1)**2*(b + 20)**3/6
Let v(s) = s**2 - 1 + 4*s + 4 - 2*s**2. Let f(a) = 2*a + 1. Let n(q) = -12*f(q) + 4*v(q). Let n(h) = 0. Calculate h.
-2, 0
Let b = -11691/19 + 128639/209. What is s in 0 - 8/11*s**2 + 16/11*s**4 + 30/11*s**3 - 40/11*s + b*s**5 = 0?
-5, -2, 0, 1
Let p = -442 + 515. Let 116*k - 15*k**4 - 77*k - 50*k + 87*k**3 - p*k - 96 + 111*k**2 - 3*k**5 = 0. What is k?
-8, -1, 1, 4
Suppose 3*n = -7 + 13. Determine i, given that -620*i - 54 - 404*i**2 + n*i**4 - 226*i**2 - 151 - 220*i**3 - 3*i**4 - 4*i**4 = 0.
-41, -1
Determine w so that -35*w**2 + 5*w**4 - 19*w**3 - 5*w**2 + 29*w**3 + 40 - 10*w - 5*w**2 = 0.
-4, -1, 1, 2
Let n(a) be the third derivative of -11/70*a**7 - 121/20*a**5 - 18*a**3 + 0 + 41/3*a**4 + 1/336*a**8 + 35/24*a**6 + 0*a + 264*a**2. Factor n(m).
(m - 27)*(m - 2)**2*(m - 1)**2
Let a(t) be the third derivative of t**4/24 - t**3/6 - 21*t**2. Let z(l) = 5*l**2 - 25*l + 65. Let k(g) = -15*a(g) + z(g). Suppose k(o) = 0. Calculate o.
4
Let y be (-30 - -39) + (24 - 28). Suppose 8/5*z**2 + 2*z**4 + 0*z + 0 + 2/5*z**y + 16/5*z**3 = 0. What is z?
-2, -1, 0
Factor -3/5*j**2 - 114/5 - 47/5*j.
-(j + 3)*(3*j + 38)/5
Factor -11*h**2 - 3*h**2 + 13*h**2 - h**2 - 122*h + 124.
-2*(h - 1)*(h + 62)
Let m(b) be the first der