3 - 32*p**2 + 1042*p. Find m, given that k(m) = 0.
-8, -1
Suppose 436 = -37*y + 547. Factor 2/15*i + 0 - 2/15*i**y + 2/15*i**4 - 2/15*i**2.
2*i*(i - 1)**2*(i + 1)/15
Let t(o) = 75*o**2 + 580*o + 20. Let m(x) = -3 + 5*x**2 - 18*x**2 - 83*x + 4*x**2 - 2*x**2. Let j(l) = 20*m(l) + 3*t(l). Factor j(v).
5*v*(v + 16)
Let s be -3 - 16/(-5) - (-2)/(-10). Suppose 5*v - 10*v + 2115 = s. Factor 8*f**2 - f**4 - 8*f**3 + 4 + 435*f - 11*f**4 - v*f - 4*f**5.
-4*(f - 1)*(f + 1)**4
Let u be (-6 + 7)/(41/5 + -18 + 10). Determine t, given that -4*t**3 + 0 - 16/7*t**2 + 16/7*t**4 + 12/7*t**u + 16/7*t = 0.
-2, -1, 0, 2/3, 1
Find v such that 5805/4*v - 261/4*v**2 + 3/4*v**3 - 5547/4 = 0.
1, 43
What is k in -1/5*k**4 + 156832/5*k - 8424/5*k**2 + 158/5*k**3 - 281216/5 = 0?
2, 52
Let i(r) = 3*r**2 + 18*r - 8719. Let p be i(-57). Factor -4*n**p - 14*n**3 + 17*n**4 - 9/2*n**5 + 0 + 0*n.
-n**2*(n - 2)**2*(9*n + 2)/2
Let t be (-9)/(-3) + (-504)/180. Factor -6/5 + t*z**2 - 1/5*z.
(z - 3)*(z + 2)/5
Factor 9610/11*l**2 + 2/11*l**5 + 134/11*l**4 + 0 + 0*l + 2542/11*l**3.
2*l**2*(l + 5)*(l + 31)**2/11
Let j(s) = -4*s**3 - 29*s**2 + 93*s + 702. Let t be j(-7). Factor 2/5*h - 8/5 + 1/5*h**t.
(h - 2)*(h + 4)/5
Let o(x) = x**3 - x**2 - 31*x + 3. Let r be o(6). Let b be r/2 - 68/(-24). Factor 1/6*w**4 + 3*w**2 + b*w**3 + 5/6 + 8/3*w.
(w + 1)**3*(w + 5)/6
Let j(s) be the first derivative of -14/9*s**3 + 4/3*s**2 + 1/6*s**4 + 16 + 8*s. Factor j(b).
2*(b - 6)*(b - 2)*(b + 1)/3
Let u(l) be the first derivative of l**6/2 - 6*l**5/5 + 3*l**4/4 + 1871. Factor u(n).
3*n**3*(n - 1)**2
Determine o, given that -2/9*o**3 - 10/3*o**2 + 0 - 52/9*o = 0.
-13, -2, 0
Suppose -49 + 5 = -11*i. Let 16*k**2 + 1131*k - 551*k - 564*k - 12*k**3 + i*k**5 - 8*k**4 = 0. What is k?
-1, 0, 2
Let k be 4 + 5 - ((-81)/(-6) - (21 - 16)). Determine u, given that 7/2*u - 4 + k*u**2 = 0.
-8, 1
Let v = 668342 + -1336669/2. Suppose v + 3/2*k**2 + 7*k = 0. What is k?
-3, -5/3
Suppose 26/5*d + 0 - 27/5*d**2 + 1/5*d**3 = 0. What is d?
0, 1, 26
Let w(a) be the third derivative of -1/18*a**4 + 0 - 29/6*a**3 + 1/180*a**6 + 0*a - 10*a**2 + 1/36*a**5. Let s(y) be the first derivative of w(y). Factor s(l).
2*(l + 2)*(3*l - 1)/3
Suppose 1832*u + 1453*u - 13730 - 4810 = 195*u. Suppose -5*h + 2*h = -6. Determine r so that -u*r - 9/2 - 3/2*r**h = 0.
-3, -1
Determine g, given that -56*g - 24*g + 8551 + 10*g - 6993 - 50*g + 2*g**2 = 0.
19, 41
Let g(y) be the second derivative of 5*y**4/12 - 880*y**3/3 + 3480*y**2 + 200*y. Factor g(m).
5*(m - 348)*(m - 4)
Let z(h) be the third derivative of h**7/8820 + h**6/2520 - h**5/210 + 71*h**4/12 + 43*h**2. Let d(y) be the second derivative of z(y). Factor d(l).
2*(l - 1)*(l + 2)/7
Find q such that -56*q**4 + 1344*q**3 + 11 + 57 - 912*q**2 - 338*q**3 - 106*q = 0.
-2/7, 1/4, 1, 17
Let f(o) = 7*o**3 - 16*o**2 - 9*o + 68. Let v(d) = -25*d**3 + 51*d**2 + 26*d - 203. Let c(z) = -21*f(z) - 6*v(z). Factor c(q).
3*(q - 2)*(q + 5)*(q + 7)
Let y(m) be the first derivative of -m**4/12 - 2*m**3/3 - 3*m**2/2 - 980. Let y(s) = 0. What is s?
-3, 0
Let k = -2509 - -10117/4. Let f = -9331/36 + 2335/9. Factor k + 9/2*n + f*n**2.
(n + 9)**2/4
Let f be ((-32886)/6699)/(16/(-396)). Factor -f*d - 21639/8*d**3 - 2241/2*d**2 - 243/8*d**5 - 2241/4*d**4 + 0.
-3*d*(d + 9)**2*(9*d + 2)**2/8
Let q(i) = -28*i - 168. Suppose 2*l = -k - 11, k - 1 - 24 = 4*l. Let c be q(l). Determine x so that -6/11*x**4 - 4/11*x**3 + 0 + c*x + 0*x**2 = 0.
-2/3, 0
Let q(w) be the third derivative of -5*w**8/48 - 107*w**7/7 - 2543*w**6/4 - 6142*w**5/3 - 9825*w**4/8 + 3375*w**3 - 162*w**2 + 3. Solve q(f) = 0.
-45, -1, 2/7
Let k(r) be the first derivative of r**5/6 + 65*r**4/24 + 5*r**3 - r**2 - 15*r - 76. Let s(n) be the second derivative of k(n). Factor s(j).
5*(j + 6)*(2*j + 1)
Let a(w) = -w**4 + 2*w**2 - w. Let h(p) = 6*p**4 - 490*p**3 - 15862*p**2 - 163339*p + 179685. Let m(b) = 11*a(b) + h(b). Find f, given that m(f) = 0.
-33, 1
Let d(b) be the first derivative of 5/2*b**4 - 2/5*b**5 + 23*b**2 - 83 + 16*b + 14*b**3. Factor d(l).
-2*(l - 8)*(l + 1)**3
Let z(o) be the second derivative of -o**8/2240 - o**7/210 - o**6/48 - o**5/20 - 61*o**4/12 - 25*o. Let d(h) be the third derivative of z(h). Factor d(p).
-3*(p + 1)**2*(p + 2)
Let m(v) = -4193*v - 100630. Let d be m(-24). Suppose -28*b**d + 0 + 8/3*b = 0. Calculate b.
0, 2/21
Let z(a) be the first derivative of 14*a**5/45 - 11*a**4/3 - 194*a**3/3 - 476*a**2/9 - 1326. Solve z(k) = 0.
-7, -4/7, 0, 17
Let x = 390 + -392. Let g(j) = j**3 + 3*j**2 + j + 1. Let t be g(x). Solve 4/3*u + 2/3 - 1/2*u**4 - 1/6*u**2 - 4/3*u**t = 0 for u.
-2, -1, -2/3, 1
Let 6/7*h**2 - 768/7 + 219*h = 0. What is h?
-256, 1/2
Let n(m) be the second derivative of m**7/10080 + m**6/2880 - m**5/80 - 8*m**4/3 - 32*m. Let s(x) be the third derivative of n(x). Suppose s(z) = 0. What is z?
-3, 2
Let i(m) be the third derivative of m**5/600 - 9*m**4/20 + 1691*m**3/60 - 22*m**2 + 2*m - 106. Factor i(h).
(h - 89)*(h - 19)/10
Let v(z) = -279*z - 9. Let w be v(-7). Determine f so that -w*f**2 - 10*f - 3*f**3 - 2*f**3 + 1959*f**2 = 0.
0, 1, 2
Let a(p) be the second derivative of -p**5/20 - 2335*p**4/24 - 170819*p**3/3 - 1019667*p**2/4 + 3099*p. Let a(j) = 0. Calculate j.
-583, -3/2
Let s(a) = -3*a**5 - 41*a**4 - 311*a**3 - 279*a**2 - 2*a. Let f(i) = -i**5 + 4*i**3 - i. Let g(d) = 10*f(d) - 5*s(d). Suppose g(p) = 0. Calculate p.
-31, -9, -1, 0
Suppose -12*j = 4*j - 48. Solve 15*b**2 - 658*b**3 + 678*b**j + b**2 - 2*b**5 + 2*b**4 = 0.
-2, -1, 0, 4
Let j be (-105)/455 + (-144)/(-624). Factor j - 28*u**2 + 16/3*u**3 + 0*u + 4/3*u**4.
4*u**2*(u - 3)*(u + 7)/3
Let q(w) = -w**3 + 3*w**2 + 780*w - 1561. Let o be q(2). Factor 4/17*u**2 - 6/17*u + 2/17*u**o + 0.
2*u*(u - 1)*(u + 3)/17
Let m(o) be the second derivative of -19/10*o**5 + 25/4*o**4 + 0 + 5/2*o**2 - 15/2*o**3 + 35*o. Let w(y) = -y**3. Let i(k) = m(k) - 3*w(k). Factor i(p).
-5*(p - 1)**2*(7*p - 1)
Let r(p) be the first derivative of -2*p**3/9 + 92*p**2/3 + 887. Solve r(v) = 0 for v.
0, 92
Suppose 10*a - 8*a + 276 = 0. Let w = a - -140. Factor -18*i**w + i + 4*i**2 - i**2 + 4*i.
-5*i*(3*i - 1)
Let t be 2/(-22) - 1518/(-726). Solve 48*w**3 + 2*w**4 + 10*w**2 + 47*w**t - 8*w**2 - 4*w - 5*w**2 - 46 - 44*w = 0 for w.
-23, -1, 1
What is b in -4623/2*b + 135/2*b**2 + 4489/2 - 1/2*b**3 = 0?
1, 67
Let z(i) = 28*i**3 + 2008*i**2 + 80544*i - 169328. Let p(k) = 9*k**3 + 669*k**2 + 26850*k - 56443. Let h(g) = 16*p(g) - 5*z(g). What is c in h(c) = 0?
-84, 2
Let q be (-1)/(((-5)/10)/(9/6)). Factor 38*y**2 - y**3 - 36 - 5*y**2 + 3*y**4 - 38*y**q + 39*y.
3*(y - 12)*(y - 1)**2*(y + 1)
Let -169/4*i + 15/2 - 175/4*i**2 + 13/4*i**4 + 37/4*i**3 = 0. Calculate i.
-5, -1, 2/13, 3
Factor -5*s**2 + 18 + 133 - 26*s - 121*s + 29 - 28*s.
-5*(s - 1)*(s + 36)
Let c(g) be the third derivative of -17/3*g**5 + 0*g - 5/336*g**8 + 0*g**3 + 0 + 271*g**2 - 11/42*g**7 - 7/4*g**6 - 25/3*g**4. Factor c(r).
-5*r*(r + 2)**3*(r + 5)
Let k(s) be the second derivative of s**6/120 + s**5/10 + s**4/2 + 7*s**3/6 + 3*s**2 + 51*s. Let c(o) be the second derivative of k(o). Factor c(r).
3*(r + 2)**2
Factor -22*y**2 + y**2 + 28*y**2 - 12*y**2 - 280*y + 1860.
-5*(y - 6)*(y + 62)
Let s(b) be the first derivative of b**4/6 - 8*b**3/9 - 20*b**2/3 + 32*b + 862. Factor s(n).
2*(n - 6)*(n - 2)*(n + 4)/3
Suppose 0 = 3*o - 0*g + g - 4, 3*o = 2*g + 10. Let k = o + 1. Find x such that -24*x**4 + 37*x**2 + 2*x**3 + 3*x**3 + 8 + 40*x + k*x**3 + 21*x**2 = 0.
-2/3, -1/2, 2
What is y in 33*y**3 + 33*y**3 - 98*y**3 + 2116*y**2 + 869456 + 28*y**3 - 39428 - 282988*y = 0?
3, 263
Let m(s) be the second derivative of s**5/100 + 13*s**4/10 + 149*s**3/30 - 114*s**2/5 - 8865*s + 2. Determine p, given that m(p) = 0.
-76, -3, 1
Let n(x) be the second derivative of -22*x + 1/10*x**6 + 0*x**2 - 1/4*x**4 - 2 + 9/20*x**5 - 3/2*x**3. Suppose n(o) = 0. What is o?
-3, -1, 0, 1
Let g(t) be the first derivative of -t**5/130 + 8*t**4/39 - 5*t**3/13 - t + 40. Let m(u) be the first derivative of g(u). Determine o, given that m(o) = 0.
0, 1, 15
Let x(y) = y**4 - y**3 - 27*y**2 + 7*y + 8. Let z(f) = -3*f**4 + 5*f**3 + 79*f**2 - 22*f - 25. Let i(g) = 17*x(g) + 6*z(g). Factor i(n).
-(n - 14)*(n - 1)*(n + 1)**2
Let 37*p**3 + 4*p**4 - 5600*p - 639*p**2 - 125*p**3 - 40*p**3 + 85