9*m. Find p such that u(p) = 0.
-3, -1, 1, 4
Let g(j) = 18*j**4 + 199*j**3 + 262*j**2 - 545*j + 216. Let b(p) = -p**3 - 8*p**2 - p. Let c(r) = 7*b(r) + g(r). Factor c(o).
2*(o + 3)*(o + 9)*(3*o - 2)**2
Suppose 3*j - 10 = -2*x, 4*x = -24*j + 23*j. Let n(q) be the second derivative of 9*q**2 + 0 - q**3 - 31*q + 1/24*q**j. Factor n(f).
(f - 6)**2/2
Let c(p) be the third derivative of 3/4*p**4 + 1/16*p**5 + 0 - 134*p**2 + 1/480*p**6 + 9/2*p**3 + 0*p. Determine y so that c(y) = 0.
-6, -3
Let c(n) = -289*n**3 + 1638*n**2 - 889*n + 115. Let o(k) = -145*k**3 + 819*k**2 - 442*k + 58. Let d(p) = 2*c(p) - 5*o(p). Factor d(s).
3*(s - 5)*(7*s - 2)**2
Suppose 10*p - 9*p - 103 = 0. Let m = p + -99. Factor -39*r**2 + m + 14*r**2 - r**2 + 2*r**2 - 20*r.
-4*(r + 1)*(6*r - 1)
Let h be (-4800)/(-2352) + (-34)/833. Factor 3*z + 1/5*z**h + 14/5.
(z + 1)*(z + 14)/5
Let k(r) be the first derivative of -5*r**6/6 + 12*r**5 - 50*r**4 - 10*r**3 + 925*r**2/2 - 750*r - 1062. Determine v, given that k(v) = 0.
-2, 1, 3, 5
Let -2/3*x**5 - 962*x**3 + 0 - 154/3*x**4 + 0*x + 1014*x**2 = 0. Calculate x.
-39, 0, 1
Let h = -812 - -796. Let c be (-4)/(9/((-108)/h)) - -5. Factor 1/2*n**c + 7/2 - 4*n.
(n - 7)*(n - 1)/2
Let q = -6426 + 6431. Let a(d) be the second derivative of 1/14*d**4 + 0 + 1/21*d**3 + 15*d + 3/70*d**q + 1/105*d**6 + 0*d**2. Let a(c) = 0. Calculate c.
-1, 0
Let s be (2/3)/(-2) + 19/(6783/782). Let -1/7*n**2 - s*n - 12/7 = 0. Calculate n.
-12, -1
Let s(d) = d**4 - d**3 + 1. Let r(h) = -14*h**4 - 37*h**3 + 78*h**2 + 132*h - 20. Let m(w) = -r(w) + 4*s(w). Suppose m(y) = 0. What is y?
-2, 1/6, 2
Let c(z) be the second derivative of 6/25*z**5 + 0*z**2 + 1/105*z**7 - 67*z + 8/75*z**6 + 0*z**3 + 0 + 0*z**4. Factor c(h).
2*h**3*(h + 2)*(h + 6)/5
Let n(v) be the third derivative of v**8/1680 - v**7/35 + 2*v**6/5 - 91*v**3/3 - 115*v**2 + 2*v. Let l(r) be the first derivative of n(r). Factor l(q).
q**2*(q - 12)**2
Let y(a) = 6*a - 20. Let b be y(18). Factor -1237*f - 405*f**3 - b*f**2 + 201*f**3 + 269*f + 202*f**3.
-2*f*(f + 22)**2
Let v(o) be the second derivative of -6*o**5/5 - 25*o**4/3 - 44*o**3/3 - 6*o**2 + 2116*o. Determine a, given that v(a) = 0.
-3, -1, -1/6
Suppose 9*k + 135 = 14*k. Suppose 30*m - k*m - 24 = 0. Factor 5*c**2 - 2*c**3 + 2*c**3 - 13*c**4 + m*c**4.
-5*c**2*(c - 1)*(c + 1)
Let p(k) = 17150*k + 2. Let a be p(0). Factor 1/3*i**4 + 4/3*i**3 - 19/3*i**a + 0 + 14/3*i.
i*(i - 2)*(i - 1)*(i + 7)/3
Let i = 387589/7 + -55369. Factor -i*t**2 + 0*t + 0*t**4 + 3/7*t**5 - 9/7*t**3 + 0.
3*t**2*(t - 2)*(t + 1)**2/7
Let s(p) be the first derivative of 3/16*p**4 - 1/4*p**3 + 141 + 3/4*p - 3/8*p**2. Factor s(h).
3*(h - 1)**2*(h + 1)/4
Suppose -11*p = -6*p + 20. Let l be 3*((-14)/(-3) + p). Factor -27*t - 5 + 3*t**3 + 3 + 17 - 4*t**l + 13*t**2.
3*(t - 1)**2*(t + 5)
Let z(l) be the second derivative of -l**5/10 - 6*l**4 + 25*l**3 + 8750*l**2 - 279*l + 17. Let z(w) = 0. What is w?
-25, 14
Let z(v) be the second derivative of -v**4/12 - 11*v**3/3 + 52*v**2 - 37*v + 16. What is i in z(i) = 0?
-26, 4
Let y(x) be the third derivative of -x**7/630 - x**6/72 + x**5/60 + 17*x**4/72 + 5*x**3/9 + 1579*x**2. Suppose y(q) = 0. What is q?
-5, -1, 2
Suppose 4*g + 3*g = -42. Let n be (g/(-10))/(3/45). Factor -432 + n*a**2 + 6*a + 3*a**3 + 432.
3*a*(a + 1)*(a + 2)
Let o(n) be the second derivative of -n**7/1260 - 2*n**6/135 - n**5/36 - 37*n**4/12 - 57*n. Let i(x) be the third derivative of o(x). Let i(k) = 0. Calculate k.
-5, -1/3
Let k be 26 + (-184)/6 - -1*82/15. Factor 2/5*c - 6/5*c**3 - k + 8/5*c**2.
-2*(c - 1)**2*(3*c + 2)/5
Let z(n) be the third derivative of -4*n**7/105 - 13*n**6/30 + 23*n**5/15 - 4*n**4/3 - 4*n**2 + 26*n - 1. Factor z(s).
-4*s*(s - 1)*(s + 8)*(2*s - 1)
Let f(n) = -2*n**4 + n**2 - n - 1. Let h = 141 + -137. Let x(l) = 6*l**4 + 2*l**3 + 4*l + 4. Let m(y) = h*f(y) + x(y). Factor m(s).
-2*s**2*(s - 2)*(s + 1)
Let i be (-56672)/(-48048) + (-2)/(-13). Factor 0 - 2/3*w**3 + 1/3*w**4 - i*w - 7/3*w**2.
w*(w - 4)*(w + 1)**2/3
Let b(u) be the third derivative of -u**5/90 - 305*u**4/9 + 407*u**3/3 - 2274*u**2 - 1. Find j such that b(j) = 0.
-1221, 1
Let x(t) be the first derivative of -1/4*t**5 + 0*t - 55/12*t**4 + 4 - 35/6*t**3 - 9/2*t**2. Let p(n) be the second derivative of x(n). Factor p(q).
-5*(q + 7)*(3*q + 1)
Let q be (-5*(-10)/(-175))/(((-1380)/56)/69). What is c in -3/5*c**3 + q*c - 1/5*c**5 + 0 + 4/5*c**4 - 4/5*c**2 = 0?
-1, 0, 1, 2
Let i(j) = 13*j**4 - 145*j**3 - 635*j**2 + 18*j. Let u(w) = -20*w**4 + 222*w**3 + 952*w**2 - 28*w. Let h(t) = 14*i(t) + 9*u(t). Let h(r) = 0. Calculate r.
-7, 0, 23
Suppose -4*k = -2*c - 44, 4*c - 63*k + 86 + 662 = 0. Factor 0 + 3/5*r**c + 12/5*r.
3*r*(r + 4)/5
Suppose -37 = -9*a + 143. Let o(w) = -w**2 - w - 1. Let s(m) = 2*m - 20. Let x be s(8). Let l(p) = -4*p**2 - 10*p - 1. Let i(f) = a*o(f) + x*l(f). Factor i(b).
-4*(b - 4)*(b - 1)
Let o = 760799/2 - 380337. Factor 465*b**3 - 1325/4*b**2 - 585/4*b**4 - o*b + 0.
-5*b*(3*b - 5)**2*(13*b + 2)/4
Suppose -70/3 + 1/6*h**2 + 13/6*h = 0. What is h?
-20, 7
Suppose 90 = 6*t - 54. Let l = t - 22. Factor 5*r**2 - 10*r - r**3 + r**l - r**3 + 6*r.
-2*r*(r - 2)*(r - 1)
Let u(a) be the third derivative of -a**5/360 + 7*a**4/48 - 5*a**3/9 + 765*a**2 - 3*a + 1. Factor u(n).
-(n - 20)*(n - 1)/6
Let v be -2 - -241*32/(-12). Let l = 646 + v. What is h in -2*h + 0 - 2/9*h**3 - l*h**2 = 0?
-3, 0
Let h = 874701 + -2623619/3. Factor h - 44/3*i + 1/3*i**2.
(i - 22)**2/3
Let b(x) be the second derivative of x**4/48 + 185*x**3/24 + 183*x**2/4 + 2985*x. Factor b(f).
(f + 2)*(f + 183)/4
Factor 51286*f**3 + 40 + 335*f**2 - 51401*f**3 + 776*f - 286*f.
-5*(f - 4)*(f + 1)*(23*f + 2)
Let i(q) be the first derivative of -5/3*q**3 - 15/4*q**2 - 5/24*q**4 + 5 + 0*q. Factor i(t).
-5*t*(t + 3)**2/6
Let q(c) = -c**3 - 20*c**2 - 17*c + 40. Let f be (-1 + (-17)/2)/(1/2). Let p be q(f). Factor -i**3 + 110*i**4 - 4*i**3 + 5*i**5 + 5*i**p - 115*i**4.
5*i**2*(i - 1)**2*(i + 1)
Suppose l = -4*i, 0*l = -4*i + l. Let f(g) = g**3 - 6*g**2 - 75*g - 66. Let y be f(-1). Factor i*d + 4/5 - 4/5*d**y.
-4*(d - 1)*(d + 1)/5
Find o, given that -98/13*o**3 - 20/13*o**4 + 0 + 56/13*o**2 + 14/13*o**5 + 120/13*o = 0.
-2, -1, 0, 10/7, 3
Suppose 3*y + v = 6*y - 17, -2*v - 22 = -4*y. Let q be -5 + y - (-4 - -1). Factor -15*f**3 + 4*f**5 - 8*f**q - 25*f**2 + f**5 - 10*f + 11*f**4 + 2*f**4.
5*f*(f - 2)*(f + 1)**3
Find v such that 352*v**2 - 313*v**2 - 23*v**3 + 2156 - 504*v + 22*v**3 = 0.
11, 14
Let m(f) = -f**3 + 43*f**2 + 47*f + 46. Let c be m(44). Factor 90 - 2*w - 123*w**2 - 90 + 57*w**3 + c*w**2.
w*(w + 1)*(57*w - 2)
Let l = -148567/4 - -37145. Let -7/2*i + l*i**3 - 7/4*i**4 + 1/4*i**5 + 2 - 1/4*i**2 = 0. What is i?
-1, 1, 2, 4
Let k be -3*(-18)/2 + -4. Suppose 3*o - 5*v - 75 = k, 0 = 2*o + 3*v - 40. Factor -33*m - 14*m**5 - 8*m**3 - o*m - 32*m**4 + 59*m.
-2*m**3*(m + 2)*(7*m + 2)
Let g = 359 - 425. Let z be 6/(-4)*(g/(-10) - 7). Factor -3/5 + 6/5*c - z*c**2.
-3*(c - 1)**2/5
Let g(d) = 22*d**3 + 286*d**2 - 1163*d + 1166. Let c(v) = -18*v**3 - 286*v**2 + 1164*v - 1168. Let b(n) = -5*c(n) - 4*g(n). Factor b(q).
2*(q - 2)**2*(q + 147)
Let i(b) be the second derivative of 9*b**5/20 + 34*b**4/5 + 9*b**3/10 + 2963*b. Let i(x) = 0. What is x?
-9, -1/15, 0
Let z(d) = -d**2 + 4*d - 1. Let b(k) = -5*k**2 - 102*k - 3485. Let s = 549 + -569. Let l(a) = s*z(a) + 5*b(a). Factor l(j).
-5*(j + 59)**2
Let w(f) be the second derivative of 2/5*f**6 + 8/3*f**3 + 84*f + 4*f**4 + 11/5*f**5 + 0 + 0*f**2. Suppose w(p) = 0. What is p?
-2, -1, -2/3, 0
Let t(k) be the second derivative of -44*k**6/15 - 127*k**5/5 - 176*k**4/3 - 166*k**3/3 - 24*k**2 - 1112*k. Let t(z) = 0. What is z?
-4, -1, -1/2, -3/11
Determine k, given that 1/3*k**2 - 5/3*k + 4/3 = 0.
1, 4
Let b = -8/905 + 418/6335. Let w(l) be the first derivative of b*l**5 + 0*l**2 - 20 + 1/7*l**4 + 0*l + 2/21*l**3. Factor w(a).
2*a**2*(a + 1)**2/7
Let w(g) = -133*g + 21816. Let j be w(164). Factor 8/11*i**j + 0 - 2/11*i**5 + 0*i - 6/11*i**3 + 0*i**2.
-2*i**3*(i - 3)*(i - 1)/11
Factor 93/4*l + 1/2 + 91/4*l**2.
(l + 1)*(91*l + 2)/4
Solve 0 - 156/11*t**4 - 162/11*t + 2/11*t**5 - 44*t**2 - 480/11*t**3 = 0 for t.
-1, 0, 81
Factor 1/5*n**4 - 1764/5*n + 0 + 448/5*n**2 - 37/5*n**3.
n*(n - 14)**2*(n - 9)/5
Suppose 4*y + 17