(o - 7)**2*(o + 1)**2
Let m(r) = -58*r**2 - 13954*r + 4064632. Let q(k) = -21*k**2 - 4651*k + 1354876. Let z(i) = -5*m(i) + 14*q(i). Solve z(o) = 0.
582
Let l = -14416/121 + 14460/121. Factor 2*b + 12/11 - l*b**2.
-2*(b - 6)*(2*b + 1)/11
Let j(n) = 22*n + 115. Let r be j(-5). Suppose -11*v + r*v + v**2 + 695 - 651 - 17*v - v = 0. What is v?
2, 22
Let 621*g**3 - 525*g**3 - 1200 - 4*g**4 - 750*g + 132*g**2 - 2*g = 0. Calculate g.
-2, 3, 25
Suppose 5*y**3 - 30*y**2 - y**3 + 4800 + 2158*y - 78*y + 117*y**2 + 85*y**2 = 0. Calculate y.
-20, -3
Let a = 249559 - 1238547/5. Find n, given that -272/5*n + 2/5*n**2 + a = 0.
68
Let q(k) be the third derivative of 2*k**7/105 + 3*k**6/10 + 28*k**5/15 + 6*k**4 + 32*k**3/3 - 666*k**2. Suppose q(o) = 0. Calculate o.
-4, -2, -1
Let j = 236329 + -236309. Suppose 10/3 - 65/6*n**2 - j*n = 0. Calculate n.
-2, 2/13
Let y be ((-64)/8 - -16) + 3*-1. Let p(v) be the first derivative of 1/8*v**6 + v**3 + 9/8*v**4 - 13 + 0*v + 3/8*v**2 + 3/5*v**y. Let p(t) = 0. Calculate t.
-1, 0
Let t(i) be the second derivative of i**6/120 - 23*i**5/80 + 191*i**4/48 - 685*i**3/24 + 225*i**2/2 - i - 445. Factor t(m).
(m - 9)*(m - 5)**2*(m - 4)/4
Let i(c) = -2*c**3 - c**2 + 3*c - 1. Let r(k) = -k**3 + 295*k**2 + 7503*k + 7201. Let a(f) = -2*i(f) + r(f). Let a(j) = 0. Calculate j.
-49, -1
Let t be -7 + (-22 - -27 - 3*(-28)/21). What is l in -21*l - 49/4*l**t - 9 = 0?
-6/7
Let d(g) be the second derivative of g - 1 - 1/16*g**4 - 33/4*g**2 + 13/8*g**3. Let d(y) = 0. Calculate y.
2, 11
Suppose 3397 = -2*o - 3*b, -5*o + 3*b + 2002 = 10442. Let j = o + 8631/5. Factor -172/5*i**2 - 1/5*i**5 - 73/5*i**3 - 64/5 - j*i - 14/5*i**4.
-(i + 1)**2*(i + 4)**3/5
Let k be 170/(-34)*(-5)/((-25)/(-7)). Let m(w) be the first derivative of 9 + 20*w**4 + 0*w + 55/3*w**3 + 5*w**2 + k*w**5. Factor m(h).
5*h*(h + 1)**2*(7*h + 2)
Let j(n) be the first derivative of 4*n**3/9 + 4840*n**2/3 + 5856400*n/3 - 2638. Suppose j(t) = 0. Calculate t.
-1210
Let w(h) = h**2 + 10*h - 1. Let p(m) = 864*m + 894. Let d(a) = -p(a) - 3*w(a). Suppose d(j) = 0. Calculate j.
-297, -1
Let j(z) be the third derivative of z**7/105 + 191*z**6/420 + 117*z**5/14 + 1863*z**4/28 + 486*z**3/7 - 3*z**2 + 99. Factor j(a).
2*(a + 9)**3*(7*a + 2)/7
Let x(z) = -z**2 - z + 1. Let n = -2610 + 2616. Let d(s) be the third derivative of s**5/20 + 5*s**4/8 - 2*s**3 + 2*s**2. Let u(i) = n*x(i) + d(i). Factor u(b).
-3*(b - 2)*(b - 1)
Suppose 4*w = -4*c + 8956 - 2368, -4*c + 3*w = -6567. Let x = 1649 - c. What is i in 1 - 33/4*i**2 + 17/4*i**3 + i - 21/4*i**x + 29/4*i**4 = 0?
-1, -2/7, 2/3, 1
Let y(d) be the second derivative of 6*d**6/5 - 1947*d**5/20 - 2691*d**4/4 - 1012*d**3 - 522*d**2 - 655*d + 4. Find t such that y(t) = 0.
-3, -2/3, -1/4, 58
Let u(b) be the third derivative of -20/3*b**3 - 5 + 1/15*b**5 - 3/2*b**4 - 10*b**2 + 0*b. Factor u(w).
4*(w - 10)*(w + 1)
Let y be 16*((-140)/(-40) + -4) - (-15 + 4). Factor 1/4*k**y - 3 - 4*k - 3/4*k**2.
(k - 6)*(k + 1)*(k + 2)/4
Let r(j) = 5*j**2 + 2*j - 1. Let y(n) = 33*n**2 + 186*n + 165. Let d(a) = -6*r(a) + y(a). Suppose d(z) = 0. Calculate z.
-57, -1
Solve 3541 + 70*z**3 - 3541 - 5*z**4 + 150*z + z**2 - 233*z**2 + 17*z**2 = 0.
0, 1, 3, 10
Let s(y) be the first derivative of 159 - 121/6*y**6 + 0*y + 32*y**4 + 319/5*y**5 + 4*y**3 + 0*y**2. What is x in s(x) = 0?
-2/11, 0, 3
Let z(q) be the first derivative of -q**6/2 + 171*q**5/5 - 165*q**4/4 - 57*q**3 + 84*q**2 + 5545. Solve z(l) = 0 for l.
-1, 0, 1, 56
Let a be -1*3*-3 + (1 - 1). Suppose 0 = m - a + 7. Suppose -8*k**2 + 16 - 2*k**3 + k**2 - 5*k**m - 2*k**3 = 0. What is k?
-2, 1
Find t, given that -322*t**2 + 37 + 70*t**4 + 77 + 36 - 305*t**3 + 42*t**2 + 245*t = 0.
-1, -1/2, 6/7, 5
Factor 7655*l + 3104*l + 0*l**3 + 1527 - 368*l**2 - 2675*l + 16145 + 4*l**3.
4*(l - 47)**2*(l + 2)
Suppose -112 = 678*r - 706*r. Factor -9/4*n**3 + 0*n**2 + 3/4*n**r + 3*n + 0.
3*n*(n - 2)**2*(n + 1)/4
Suppose y - 2*y + p = -16, 3*p + 8 = y. Let a be 1 - y/4 - (-280)/30. Factor 8/3*s**2 + 32/9 + a*s + 4/9*s**3.
4*(s + 2)**3/9
Factor 22*y - 17*y**2 + 68*y**2 - 33*y**2 + 6*y**3 - 12*y - 3*y**4 + y**4.
-2*y*(y - 5)*(y + 1)**2
Let h = 154155 - 154153. Determine y, given that 799/2*y + 289 + 3/2*y**3 - 50*y**h = 0.
-2/3, 17
What is u in 6*u**3 + u**3 - 5*u**3 - 2844*u - 5*u**3 + 2832 + 417*u**2 + 303*u**2 = 0?
2, 236
Suppose 103*d = 113*d - 30. Let j(v) be the second derivative of 1/4*v**4 + 0 + d*v - 3*v**2 - 1/2*v**3. Suppose j(r) = 0. Calculate r.
-1, 2
Let g(k) be the first derivative of 9*k**4/40 - k**3/15 - 9*k**2/20 + k/5 - 3174. Factor g(t).
(t - 1)*(t + 1)*(9*t - 2)/10
Let n(o) be the second derivative of o**6/120 - 7*o**5/80 - 3*o**4/16 + 7*o**3/24 + o**2 - 50*o + 3. Factor n(w).
(w - 8)*(w - 1)*(w + 1)**2/4
Let y(o) = -11*o**2 - 30*o - 19. Suppose 2*d + r = -3 - 4, r + 2 = -d. Let p(i) = 16*i**2 + 44*i + 28. Let x(f) = d*p(f) - 8*y(f). Factor x(j).
4*(j + 1)*(2*j + 3)
Let i(h) be the second derivative of 43/48*h**3 - 2*h + 0*h**2 + 1/96*h**4 - 53. Let i(q) = 0. Calculate q.
-43, 0
Find o such that -121/3 + 1/3*o**3 - 23/3*o**2 + 143/3*o = 0.
1, 11
Suppose -15 + 23 = 4*v. Suppose -4*h = -4, -x + v*x - h - 74 = 0. Solve -17*w**2 + 9*w**3 + x - 54*w - 99 - 4*w**2 = 0.
-1, -2/3, 4
Find n, given that -6/7*n**2 + 3/7*n**3 - 120/7 - 129/7*n = 0.
-5, -1, 8
Let a(k) be the first derivative of -k**5/20 + 24*k**4 - 5949*k**3/2 - 28080*k**2 - 342225*k/4 + 8731. Factor a(s).
-(s - 195)**2*(s + 3)**2/4
Find o, given that 75*o + 48 - 24*o**2 + 20*o**2 + 232 + 9*o**2 = 0.
-8, -7
Let t = -17/1497 + 3317/28443. Determine y, given that -t*y**4 + 0*y + 4/19*y**2 - 2/19*y**3 + 0 = 0.
-2, 0, 1
Factor 0 + 98/5*m**3 - 2/5*m**4 + 0*m - 188/5*m**2.
-2*m**2*(m - 47)*(m - 2)/5
Let c be (19/(-4) + 3)*-312. Let h = -251 + c. Factor 3*b**5 - h*b**4 - b**5 - 4*b**3 - b**2 + 302*b**4 + 10*b**3 - 2*b.
b*(b + 1)**2*(b + 2)*(2*b - 1)
Let s(o) be the second derivative of -o**5/80 - 3*o**4/16 + 3*o**3/8 + 81*o**2/8 + 2922*o. Determine g so that s(g) = 0.
-9, -3, 3
Let w(x) be the third derivative of 33/8*x**4 - 4*x**2 + 1/40*x**6 + 9/10*x**5 - 12*x + 8*x**3 + 0. Find u, given that w(u) = 0.
-16, -1
Let a = 9316 - 9312. Let y(c) be the second derivative of 5/6*c**a + 3*c**2 + 0 - 8/3*c**3 - 29*c. Suppose y(m) = 0. Calculate m.
3/5, 1
Suppose -2*q + 16 = -4*i, i = 3*i + 2. Let s(g) = g**2 + 22*g + 121. Let h(p) = p**2 + 22*p + 121. Let k(v) = q*h(v) - 7*s(v). Factor k(w).
-(w + 11)**2
Let a(d) be the first derivative of -d**5/10 + 1041*d**4 - 4334724*d**3 + 9024895368*d**2 - 9394916078088*d - 6121. What is t in a(t) = 0?
2082
Let s(b) be the first derivative of b**7/2520 - b**6/216 - b**5/60 + 4*b**3/3 - 2*b + 10. Let d(m) be the third derivative of s(m). Let d(t) = 0. What is t?
-1, 0, 6
Let x(z) be the second derivative of z**4/16 + z**3 - 27*z**2/8 - 4032*z. Factor x(m).
3*(m - 1)*(m + 9)/4
Let s(m) be the first derivative of m**2 + 13 - 1/24*m**4 + 0*m - 1/20*m**5 + 0*m**3. Let o(w) be the second derivative of s(w). Factor o(a).
-a*(3*a + 1)
Suppose -3*x**5 + 600 + 399*x**2 - 11308*x - 15*x**3 + 25053*x - 27*x**4 - 12755*x = 0. Calculate x.
-5, -2, -1, 4
Let l be (-10)/(-1) + (4 + -2)*-1. Suppose 2*w - l = 4. Suppose 218*n**3 - n**5 - 227*n**3 + w*n**4 + 0*n**4 + 4*n**2 = 0. Calculate n.
0, 1, 4
Suppose -u - 7 = -3*y, 0*y + 4 = 2*y - u. Factor v**y - 1577*v - 3*v**2 + 1577*v + 0*v**3.
v**2*(v - 3)
Let q(n) be the third derivative of n**5/180 + n**4/4 + 28*n**3/9 - 4*n**2 + 9*n + 4. Find g such that q(g) = 0.
-14, -4
Let d(b) be the second derivative of -3*b - 1/3*b**3 + 2/3*b**2 - 9 + 1/18*b**4. Factor d(m).
2*(m - 2)*(m - 1)/3
Suppose 10*p = y + 11*p - 6, -4 = 4*y - 3*p. Let t(f) be the second derivative of 0 + 35/2*f**y - 5*f**3 - 5/12*f**4 + 23*f. Suppose t(d) = 0. What is d?
-7, 1
Let o(l) = l**2 + 7*l - 2. Let j(i) be the first derivative of -i**3/3 + 65. Let g(s) = -6*j(s) - o(s). Factor g(u).
(u - 1)*(5*u - 2)
Suppose 0 = -30*s + 24*s + 90. What is c in 9*c**2 - c + c**3 + s*c**4 - 20*c + 27*c**3 - 12 + 5*c**3 = 0?
-1, 4/5
Let b = -14/4535 + 145218/31745. Factor 0 + 0*p**2 - 2/7*p**3 + b*p.
-2*p*(p - 4)*(p + 4)/7
Suppose -4*p + 15*v - 12*v = -36, 4*p - 2*v = 40. Factor -p*j - 18*j - 9*j + 9*j - 5*j**2 + 80.
-5*(j - 2)*(j + 8)
Let g(j) be the first de