p) = 0.
-5, -2, 0
Let i(a) be the third derivative of -2/5*a**5 - 7/6*a**4 - 2/3*a**3 + 0 + 0*a + a**2. Factor i(q).
-4*(q + 1)*(6*q + 1)
Let w(u) be the first derivative of u**4/12 + 7*u**3/9 + 11*u**2/6 + 5*u/3 - 65. Factor w(y).
(y + 1)**2*(y + 5)/3
Suppose 3*w + 14 = -w - 2*c, 5*c = -25. Let t be w + -1 - (0 + 40/(-18)). Suppose t + 2/9*j**2 - 4/9*j = 0. What is j?
1
Solve 0*z**2 - 18/7*z**3 + 9/7*z**5 - 3*z**4 + 0 + 0*z = 0.
-2/3, 0, 3
Let w be (5 - 5)/(-3)*(-2)/(-6). Suppose -2 + w = -d. Let -3/2*r - 3/4*r**d - 3/4 = 0. What is r?
-1
Let l = 1468 + -1466. Let 1/8*y**l - 1/8 - 1/8*y + 1/8*y**3 = 0. What is y?
-1, 1
Suppose 3*j + 5*v - 9 + 2 = 0, -j = -2*v - 6. Factor 5*s**4 + 5*s**3 - 3*s**3 + s**3 - 4*s - 4*s**j.
s*(s - 1)*(s + 2)**2
Suppose 4 - 1 = z. Let 33*g**4 - 32*g + 33*g**4 + 50*g**2 - 8 + 164*g**z + 24*g**4 = 0. What is g?
-1, -2/9, 2/5
What is b in 4*b - 2*b**2 + 2*b**3 + 2*b - 2*b**2 + 12*b**2 = 0?
-3, -1, 0
Let c(l) be the second derivative of -1/35*l**5 - 2/7*l**2 + 2/21*l**3 + 11*l + 1/21*l**4 + 0. Factor c(v).
-4*(v - 1)**2*(v + 1)/7
Determine b so that 2 - 24 + 16*b**3 - 26 - 12*b**3 - 92*b - 40*b**2 = 0.
-1, 12
Let z = 83846/17 + -4932. Solve -10/17*k**4 - z - 20/17*k**2 - 10/17*k - 2/17*k**5 - 20/17*k**3 = 0 for k.
-1
Let k = 33304/3 - 11099. Determine z, given that -1/3*z**2 - k*z + 0 = 0.
-7, 0
Let -47*o + 12*o - 56*o - 127*o**3 - 249*o**2 + 96 + 112*o**3 - 47*o = 0. What is o?
-16, -1, 2/5
Let t(m) be the third derivative of m**5/180 + 11*m**4/6 + 242*m**3 + 218*m**2. Suppose t(h) = 0. What is h?
-66
What is q in -9*q + 53/2*q**2 + 75/2*q**3 + 0 + 2*q**4 = 0?
-18, -1, 0, 1/4
Let l(k) be the first derivative of -2*k**3/9 - 7*k**2/3 - 20*k/3 - 59. Factor l(b).
-2*(b + 2)*(b + 5)/3
Let s(x) = -x**4 + 38*x**3 + 13*x**2 - 76*x + 51. Let y(b) = -2*b**3 - 2*b**2 - 2*b + 1. Let o(i) = -s(i) - 5*y(i). Factor o(g).
(g - 28)*(g - 1)**2*(g + 2)
Let b(p) = p**2 - 21*p + 45. Let x be b(22). Let c = 67 - x. What is z in -3/4*z**4 - 3/4*z**3 + 0*z**2 + 0 + c*z = 0?
-1, 0
Let i be 4/(-6)*27/(-36). Let w(j) = -j**2 - 3*j - 2. Let t be w(-2). What is o in -1/2*o + 0*o**2 + i*o**3 + t = 0?
-1, 0, 1
Let o = 4/663 + 217/663. Let p(z) be the first derivative of 9*z - 3*z**2 + 3 + o*z**3. Factor p(m).
(m - 3)**2
Let t = 35/48 + -79/240. Factor n**3 + 4/5*n**4 + 1/5*n**5 + t*n**2 + 0 + 0*n.
n**2*(n + 1)**2*(n + 2)/5
Let w(s) be the first derivative of -s**3/3 + 9*s**2/2 - 15*s + 26. Let d be w(6). Solve -u**4 + 1/3*u + 0 + 1/3*u**d + u**2 - 2/3*u**5 = 0.
-1, -1/2, 0, 1
Let i(b) = 25*b**4 + 365*b**3 + 350*b**2 - 40*b + 40. Let s(f) = -27*f**2 - 28*f**3 - 3 - 2*f**4 - 3*f + 8*f - 2*f. Let l(c) = 3*i(c) + 40*s(c). Factor l(w).
-5*w**2*(w + 2)*(w + 3)
Factor 152/3*x**2 + 0 - 148/3*x - 4/3*x**3.
-4*x*(x - 37)*(x - 1)/3
Let u = -33699 + 33701. Factor -22/3*v**u - 8/3*v + 0.
-2*v*(11*v + 4)/3
Let 65039 - 128*l - 4*l**2 - 65039 = 0. What is l?
-32, 0
Let v(l) be the third derivative of l**5/140 - 13*l**4/12 + 20*l**3/7 + 344*l**2. Solve v(b) = 0 for b.
2/3, 60
Let d be (-204)/(-374)*(-22)/(-16). Factor -1/4 + 1/4*t**3 + d*t - 3/4*t**2.
(t - 1)**3/4
Suppose 0 = -5*s + 23 - 8. Let l(g) be the second derivative of 1/225*g**6 - 1/75*g**5 + 2/45*g**s + 6*g - 1/90*g**4 + 0 + 0*g**2. Find n, given that l(n) = 0.
-1, 0, 1, 2
Let h(b) be the third derivative of -1/12*b**4 + 1/15*b**5 + 0*b + 0 + 1/60*b**6 - 2/3*b**3 + 25*b**2. Solve h(q) = 0 for q.
-2, -1, 1
Suppose 4*s - 20 = -p, -8*p + 3*p - s = -81. Factor 72 - 3*f**3 - 24 - p*f - 21*f**2 - 8*f.
-3*(f - 1)*(f + 4)**2
Let d be -1*((-1)/4*6)/((-16)/(-32)). Factor 2/3*t**2 - 8/3 + 8/3*t - 2/3*t**d.
-2*(t - 2)*(t - 1)*(t + 2)/3
Solve -13/8*q - 1/8*q**3 + 3/4 + q**2 = 0 for q.
1, 6
Let j(o) be the third derivative of o**7/1680 - o**6/720 - o**5/240 + o**4/48 - o**3/2 - 6*o**2. Let k(a) be the first derivative of j(a). Factor k(c).
(c - 1)**2*(c + 1)/2
Let q(k) be the third derivative of -k**5/60 - k**4/8 + 87*k**2. What is j in q(j) = 0?
-3, 0
Let f(j) = 2*j**2 + 1. Let b be f(1). Factor b*i**2 - 4*i**2 + 3 - 3*i - 6 + 7.
-(i - 1)*(i + 4)
Let n(u) = u**3 - 151*u**2 + 6884*u. Let k(i) = i**3 - 148*i**2 + 6883*i. Let r(v) = 5*k(v) - 6*n(v). Factor r(m).
-m*(m - 83)**2
Suppose 0 = b - 5*p - 2, 22 = 11*b + 4*p + p. Let 3/2 + 3/2*l**b - 3*l = 0. What is l?
1
Let a(z) = 5*z**2 + 15*z. Let i = -2 + -3. Let w(g) = -3*g**2 - 7*g. Let d(t) = i*w(t) - 2*a(t). Suppose d(r) = 0. What is r?
-1, 0
Let j(f) be the third derivative of -1/25*f**5 - 1/420*f**8 + 0*f**3 + 2/175*f**7 + 0 - 3*f + 0*f**4 + 1/150*f**6 + 6*f**2. Determine s so that j(s) = 0.
-1, 0, 1, 3
Factor 78/5 + 3*f**2 - 201/5*f.
3*(f - 13)*(5*f - 2)/5
Let j(l) = -4*l - 2. Let v be (0 + 2/3)*(-180)/120. Let k be j(v). What is i in 6/11*i - 6/11*i**k + 2/11*i**3 - 2/11 = 0?
1
Let m be (40/(-5) + 10)*27/144. Find p, given that m*p**3 + 15/8*p**2 + 9/8*p - 27/8 = 0.
-3, 1
Let r(o) be the second derivative of o**6/120 - o**4/16 + o**3/12 + 20*o. Suppose r(f) = 0. What is f?
-2, 0, 1
Let m be (-4)/((-60)/(-9))*-1. Suppose 0 = o - j + 1, -2*o + 4*j = j + 5. What is y in 6/5*y - m*y**o - 3/5 = 0?
1
Let n(v) be the second derivative of 5*v**4/12 + v**3/2 + v**2/2 + 12*v. Let p be n(-1). Suppose 0 - 2/3*y**p - 7/3*y**2 + 2/3*y + 7/3*y**4 = 0. Calculate y.
-1, 0, 2/7, 1
Let r be (-6)/21 - (-864)/2240. Let b(f) be the second derivative of 0*f**4 + 11*f + 1/15*f**6 + 0*f**2 + r*f**5 + 0 + 0*f**3. Factor b(o).
2*o**3*(o + 1)
Let q(i) be the third derivative of i**5/20 - 3*i**4/8 - 9*i**3 + 17*i**2. Solve q(c) = 0.
-3, 6
Suppose 796/9*y - 39601/9*y**2 - 4/9 = 0. Calculate y.
2/199
Let z = 1226/19 - 13182/209. Solve -8/11*m - z - 2/11*m**4 + 2/11*m**3 + 12/11*m**2 = 0.
-2, -1, 2
Let l(b) be the first derivative of -b**4/20 + 2*b**3/15 + 2*b**2/5 - 8*b/5 - 79. Let l(x) = 0. Calculate x.
-2, 2
Let 1/5*l**3 + 2/5*l**4 + 0 + 0*l**2 + 0*l + 1/5*l**5 = 0. Calculate l.
-1, 0
Suppose 4*m - 4*m = 7*m. Factor -28 + m*f**2 + 28 - 3*f**2 - 15*f.
-3*f*(f + 5)
Suppose 0 = 4*v - 4352 - 1428. Let q = 7257/5 - v. Let q*n**2 - 8/5*n + 16/5*n**5 - 28/5*n**4 - 4/5 - 8/5*n**3 = 0. Calculate n.
-1, -1/4, 1
Let m(x) be the third derivative of -3*x**2 + 3/80*x**5 + 0*x + 1/40*x**6 + 1/168*x**7 + 1/48*x**4 + 0 + 0*x**3. Find k, given that m(k) = 0.
-1, -2/5, 0
Let d(l) = -32*l - 7 + 5*l**3 - 20*l**2 - 20*l**3 - 20. Let p(s) = -4*s**3 - 7 - 14*s - 5*s**2 + 6*s + 0*s**2. Let b(i) = 6*d(i) - 22*p(i). Factor b(g).
-2*(g + 1)*(g + 2)**2
Let h = -4/2089 - -18817/8356. Factor h*n**3 + 3/4*n**4 + 0 + 0*n + 3/2*n**2.
3*n**2*(n + 1)*(n + 2)/4
Let v(y) be the second derivative of y**7/2310 - y**6/660 + y**5/660 - 5*y**3/6 - 14*y. Let l(u) be the second derivative of v(u). Factor l(w).
2*w*(w - 1)*(2*w - 1)/11
Let h be 165/231 + 3/(3 + 0). Factor -2/7*g**2 - h*g - 18/7.
-2*(g + 3)**2/7
Let o = 15578 + -15575. Factor 0 - 3/2*n + 3/2*n**o + 0*n**2.
3*n*(n - 1)*(n + 1)/2
Let k be 19/((-228)/90)*16/(-220). Suppose 48/11*m + k*m**3 + 42/11*m**2 - 96/11 = 0. What is m?
-4, 1
Let o = 14961 + -59843/4. Find n such that -3/2*n + 5/4 + o*n**2 = 0.
1, 5
Let y = 10399 - 10397. Determine z, given that 11/2*z - 2*z**y - 1/2*z**3 - 3 = 0.
-6, 1
Let x be (-17)/(-5) - (-15)/25. Solve 4*u + 1 + 3*u**2 + 3*u**3 - 3*u**3 - 4*u**3 + u**x - 5 = 0 for u.
-1, 1, 2
Let m = 79 + -77. Factor 25*x**3 - 8*x**m - 12*x**4 - 3*x**3 - 2*x**3.
-4*x**2*(x - 1)*(3*x - 2)
Factor -224/5*z**4 + 28/5*z**2 + 2/5*z + 66/5*z**3 + 128/5*z**5 + 0.
2*z*(z - 1)**2*(8*z + 1)**2/5
Let j(s) be the second derivative of s**8/336 + s**7/210 - s**6/30 - s**5/15 - 24*s**2 - 2*s + 15. Let y(f) be the first derivative of j(f). Factor y(q).
q**2*(q - 2)*(q + 1)*(q + 2)
Factor -u**5 + 7*u - 5750*u**2 + 2*u**3 - 2 + 0 + 0 + 2*u**4 + 5742*u**2.
-(u - 1)**4*(u + 2)
Factor -56*p + 0 + 8*p**2 - 2/7*p**3.
-2*p*(p - 14)**2/7
Let t be (-1)/((-2)/8 - (-266)/1288). Find q such that 22*q**2 - 5*q**3 + 16*q**2 - 43*q**2 + 8 - t + 25*q = 0.
-3, 1
Let h be (-5 + -49 - -53)/((-2)/10 - 0). Find w, given that -6*w**4 + 15/2*w**2 + 15/4*w**h - 3*w**3 - 3/2 - 3/4*w = 0.
-1, -2/5, 1
What is w in -2*w + 1/2*w**2 + 3/2 = 0?
1, 3
Let i(d) be the second derivative of -d**5/30 - 5*d**4/6 - 16*d**3/3 + 64*d**2/3 + 158*d. Suppose i(t) = 0. What is t?
-8, 1
Let f(s) be the second derivative of -