ppose -11*n - 136 = -2*u, -2*n = -3*u - 1607 + 1637. Factor 0 + 0*h - 284/7*h**4 + 0*h**2 + 80/7*h**3 + u*h**5.
2*h**3*(h - 20)*(7*h - 2)/7
Let r be (12 + -3 + -8)*16. Let v be -20 + r + 6 + (-28)/18. Factor 0 - 2/9*h**2 - v*h.
-2*h*(h + 2)/9
What is o in -191*o**2 - 65443 + 29*o**2 + 3*o**3 + 2016*o + 70147 = 0?
-2, 28
Let k(u) = u**5 + 2*u**4 - u**2 - u + 2. Let b(s) = -23*s**5 + 114*s**4 - 41*s**3 + 2*s**2 - 2*s + 4. Let c(z) = -b(z) + 2*k(z). What is p in c(p) = 0?
0, 1/5, 4
Let h(k) be the third derivative of -k**8/42 - 2*k**7/105 + 22*k**6/15 - 26*k**5/15 - 19*k**4 - 30*k**3 - 5*k**2 - 56*k. What is y in h(y) = 0?
-5, -1, -1/2, 3
Let b(y) be the third derivative of y**5/60 + y**4/4 - 9*y**3/2 + 321*y**2. Factor b(g).
(g - 3)*(g + 9)
Let t(m) = -m**3 - 24*m**2 - 12*m + 71. Let r(i) = i**2 - 2*i. Let c(w) = -6*r(w) + t(w). Let p(z) be the first derivative of c(z). Solve p(d) = 0.
-20, 0
Determine l so that 0*l - 14*l**4 + 56*l**2 + 2/3*l**5 + 0 - 8/3*l**3 = 0.
-2, 0, 2, 21
Let y(q) = 49*q + 247. Let o be y(-5). Let a(c) be the third derivative of 1/32*c**4 - 1/160*c**6 + 3/80*c**5 + 0*c - 3/8*c**3 + 19*c**o + 0. Factor a(l).
-3*(l - 3)*(l - 1)*(l + 1)/4
Let w(q) be the first derivative of q**4/20 + 143*q**3/3 - 358*q**2/5 - 5800. Factor w(y).
y*(y - 1)*(y + 716)/5
Let k(f) be the second derivative of -f**7/14 - 9*f**6 - 198*f**5/5 - 131*f**4/2 - 87*f**3/2 + 287*f + 2. Factor k(g).
-3*g*(g + 1)**3*(g + 87)
Factor 5768/17*b - 8/17 - 1039682/17*b**2.
-2*(721*b - 2)**2/17
Let y(c) be the first derivative of c**6/288 - 5*c**4/24 - 2*c**3/3 - 35*c + 68. Let w(t) be the third derivative of y(t). Let w(u) = 0. Calculate u.
-2, 2
Let n be (6308/17347)/(12/22). Suppose -n*c**3 - 30*c - 100/3 - 8*c**2 = 0. Calculate c.
-5, -2
Let t(j) = -3*j**4 + 9*j**3 + 4*j**2 - 2. Let d(o) = -2*o**4 - 2*o**2 - 1. Let i(m) = 2*d(m) - t(m). Factor i(y).
-y**2*(y + 1)*(y + 8)
Let o(q) = 9*q - 220. Let r be o(25). Determine t, given that 12*t + 50 + 33 - 16*t**3 + 4*t**r - 91 + 8*t**2 = 0.
-2, -1, 1
Let w = -375/34 - -995/306. Let q = 455/18 + w. Let -m - 11/2*m**5 + 17/2*m**2 + 0 + q*m**4 - 39/2*m**3 = 0. Calculate m.
0, 2/11, 1
Let m(x) be the third derivative of x**7/10080 - 7*x**6/1440 + 49*x**5/480 - 31*x**4/12 - 16*x**2. Let n(d) be the second derivative of m(d). Factor n(o).
(o - 7)**2/4
Let s(y) be the third derivative of y**5/630 - 353*y**4/252 - 710*y**3/63 + 3332*y**2. Factor s(h).
2*(h - 355)*(h + 2)/21
Let w(u) = -3*u**3 - 828*u**2 + 12*u - 18. Let j(b) = 6*b**3 + 828*b**2 - 14*b + 21. Let d(m) = 6*j(m) + 7*w(m). Suppose d(k) = 0. What is k?
0, 276/5
Let i = -298 - -316. Let t be 6/i - (-5 + 5)/(-6). Suppose 1/3*u**3 + 0 - 2/3*u + t*u**2 = 0. What is u?
-2, 0, 1
Let o(u) be the first derivative of 9*u**5 + 3505*u**4/2 + 121160*u**3 + 3123120*u**2 - 1406080*u - 97. Suppose o(v) = 0. Calculate v.
-52, 2/9
Let h(d) = d**2 - 2*d + 3. Suppose -t - 5*o = -2*t + 27, -2*t - 2*o - 6 = 0. Let b be h(t). Let -13*s - s**b + 4*s**3 + s**2 + 11*s**2 + 22*s = 0. What is s?
-3, -1, 0
Let w(n) be the third derivative of 0*n**4 - 2*n**2 - 1/280*n**6 + 0*n**3 + 0 + 1/28*n**5 + 11*n. Factor w(v).
-3*v**2*(v - 5)/7
Let r(l) be the second derivative of l**4/9 - 26*l**3/9 + 24*l**2 - l - 360. Factor r(n).
4*(n - 9)*(n - 4)/3
Suppose -46*l + 47*l = 12. Suppose 10*d + 3*d**3 + 19661 + l*d**2 + 5*d - 19655 = 0. Calculate d.
-2, -1
What is l in 3/5*l**3 + 2304/5 + 96*l - 87/5*l**2 = 0?
-3, 16
Factor 282 + 97/2*a + 1/4*a**2.
(a + 6)*(a + 188)/4
Let d(k) = -k**3 + 8*k**2 - k - 2. Let f be d(8). Let t(y) = y**3 + 11*y**2 - 7*y - 170. Let j be t(f). Factor j + 2/17*a**4 + 0*a**2 + 6/17*a**3 - 8/17*a.
2*a*(a - 1)*(a + 2)**2/17
Let y be (2/(-3))/(((-1)/2)/(1437/958)). Let f = -713 + 3577/5. What is p in -36/5*p + 3*p**y + f = 0?
2/5, 2
Suppose 5*p - 42 = -12, 0 = 5*q + 5*p - 30. Find y such that q - 18/5*y**2 + 21/5*y**4 + 8/5*y - y**3 = 0.
-1, 0, 4/7, 2/3
Factor 4/11*g**2 + 1/11*g**3 - 29/11*g + 24/11.
(g - 3)*(g - 1)*(g + 8)/11
Let c = 1349503/94 + -14355. Let g = 4/47 + c. Suppose 0*j + 0 - 3*j**2 + g*j**4 - 3/2*j**3 = 0. Calculate j.
-1, 0, 2
Suppose 5*o + 0*c = -2*c - 204, 0 = 3*o + 2*c + 124. Let f = 40 + o. What is b in -3 - 1353*b**2 + 1356*b**2 + f = 0?
-1, 1
Let a be ((-185)/1332)/((-1)/((-80)/(-75))). Let q(w) be the first derivative of -a*w**3 + 32 + 1/18*w**4 - 8/9*w - 7/9*w**2. Factor q(x).
2*(x - 4)*(x + 1)**2/9
Suppose -42/5*z + 122/5*z**3 - 6/5*z**4 - 30*z**2 + 76/5 = 0. What is z?
-2/3, 1, 19
Let z(a) = a**3 - a**2 + 1. Let n(o) = -18*o**3 + 30*o**2 - 16*o - 5. Suppose 75 - 15 = -15*t. Let l(p) = t*n(p) - 36*z(p). Factor l(w).
4*(w - 1)*(3*w - 2)**2
Let o be 0 - -5 - (-26444)/(-9616). Factor -6*z + 9/4*z**2 - o.
3*(z - 3)*(3*z + 1)/4
Suppose 22*y + 105 = 57*y. Suppose -6*u**2 - 89*u**3 + 2*u**4 + 95*u**y - 4*u**2 + 2*u**2 = 0. Calculate u.
-4, 0, 1
Suppose -255417*g - 246 = -255540*g. Factor 0*i - 2/9*i**g + 0*i**3 + 0 + 2/9*i**4.
2*i**2*(i - 1)*(i + 1)/9
Suppose 26 = 4*b - 6*a, 2*b + 5*a = 3*a - 2. Determine w, given that -2/7*w**b - 68/7*w - 578/7 = 0.
-17
Solve -1/6*g**5 - 23/3*g**2 + 15/2 + 11/3*g**3 - 7/2*g + 1/6*g**4 = 0 for g.
-5, -1, 1, 3
Let g be ((-81)/108)/((-2)/(-72)). Let a be (g/81)/((-2)/12*1). Suppose 1/8*r**3 - r**2 + a*r + 0 = 0. What is r?
0, 4
Let x(b) = -13*b**2 - 2311*b + 670487. Let u(y) = -18*y**2 - 3467*y + 1005730. Let w(i) = -5*u(i) + 7*x(i). Suppose w(d) = 0. Calculate d.
579
Let w(l) be the second derivative of 1/20*l**5 + 7 + 5/6*l**3 + l**2 + 4*l + 1/3*l**4. What is d in w(d) = 0?
-2, -1
Suppose -a - 5*s + 56 + 3 = 0, 0 = -5*a + 2*s + 322. Let -a*y + 9*y**2 - 3*y**2 - 10*y**2 = 0. Calculate y.
-16, 0
Let i(h) be the second derivative of h**4/3 + 2*h**3/3 - 24*h**2 - 10*h + 5. Suppose i(t) = 0. What is t?
-4, 3
Let -175 - 155 - 165 + 65*v**3 + 700*v + 5*v**4 + 135 - 410*v**2 = 0. Calculate v.
-18, 1, 2
Let t(f) be the first derivative of f**5/35 + 20*f**4/7 + 800*f**3/7 + 16000*f**2/7 + 195*f - 222. Let n(k) be the first derivative of t(k). Factor n(r).
4*(r + 20)**3/7
Let g = 12274 + -12272. Let v(b) be the second derivative of -1/114*b**4 - 100/19*b**g + 20/57*b**3 + 0 - 11*b. Solve v(w) = 0 for w.
10
Let h(f) be the first derivative of 3/8*f**4 + 15/4*f**2 + 0*f - 222 - 23/3*f**3. Factor h(k).
k*(k - 15)*(3*k - 1)/2
Let g = -7798013/5572 - -348/1393. Let v = 1400 + g. Factor -v*h + 0 + 1/4*h**2.
h*(h - 3)/4
Let b(d) be the second derivative of -d**5/70 + 2*d**4/7 + 31*d**3/21 - 6*d**2 - 307*d + 12. Factor b(j).
-2*(j - 14)*(j - 1)*(j + 3)/7
Solve -1/2*p + 31/2 + 1/2*p**3 - 31/2*p**2 = 0 for p.
-1, 1, 31
Factor 61009/3 + 1/3*r**2 - 494/3*r.
(r - 247)**2/3
Let p be (-2 + (-268)/(-110))*40/16. Let r be 120/22 - (7 - (-6)/(-2)). Factor -2/11*h**4 + 0 + p*h**3 + r*h - 24/11*h**2.
-2*h*(h - 2)**3/11
Factor 44 - 11825*v**2 - 42*v + 11827*v**2 - 188.
2*(v - 24)*(v + 3)
Let m = 19911/235 - 3343/47. Solve 2/5*f**2 - m*f + 578/5 = 0.
17
Let h be (-10)/(-8)*(-10400)/(-2000). Solve -1/2*t**2 + 15 + h*t = 0 for t.
-2, 15
Let q(i) = 6*i**3 + 66*i**2 - 39*i - 135. Let c(j) = -3*j**3 - 31*j**2 + 18*j + 68. Let v(m) = 9*c(m) + 4*q(m). Suppose v(p) = 0. Calculate p.
-4, -3, 2
Let -30*c**3 + 10*c**2 + 14*c**4 + 0*c**3 + 13*c**2 - 5*c**2 - 2*c**5 + 0*c**4 = 0. What is c?
0, 1, 3
Let k(i) be the second derivative of i**4/96 - 13*i**3/8 + 19*i**2/2 - 1373*i. Factor k(g).
(g - 76)*(g - 2)/8
Suppose -10*a + 6*a + 280 = 0. Let u be 8/(-130)*(-175)/a. Factor -8/13 + u*i**2 + 0*i.
2*(i - 2)*(i + 2)/13
Let c = 18821/3 + -6769. Let o = -495 - c. Factor -1/3*l**4 - 8/3*l + o*l**2 + 5/3*l**3 + 4/3 - 1/3*l**5.
-(l - 1)**3*(l + 2)**2/3
Let t(m) be the second derivative of 65*m + 1/3*m**4 - 24*m**2 + 0 - 2/3*m**3. Determine k, given that t(k) = 0.
-3, 4
Let u be (-34)/(-323)*114 - 12. What is k in -1/3*k**4 - 2/3*k + u*k**2 + 2/3*k**3 + 1/3 = 0?
-1, 1
Let h(z) = -2*z + 10. Let q be (7/(-14))/((-1)/8). Let r be h(q). What is l in -3 + r + 30*l**2 + l**3 - l - 29*l**2 = 0?
-1, 1
Let o be ((-108)/(-10) - 5/(-25)) + (-30940)/3332. Suppose 9/7*a**3 + 0 + o*a**4 - 12/7*a**2 - 9/7*a = 0. Calculate a.
-1, -3/4, 0, 1
Factor 0 + 106/17*t**2 - 2/17*t**3 - 104/17*t.
-2*t*(t - 52)*(t - 1)/17
Let l(r) = 5*r**3 - 80*r**2 + 75*r - 5. Let g(v) = -3 - 3 + 532*v**3 + 76*v + 2 - 79*v**2