+ 17/8*w**4 + 7/40*w**6. Factor b(r).
3*(r + 1)**2*(r + 2)*(r + 3)
Factor -180*q - 78 - 153 - 2701*q**2 + 12*q**3 + 2764*q**2.
3*(q + 1)*(q + 7)*(4*q - 11)
Let t = 758 + -746. Let 36 - 17*z + 15*z - 3*z**3 + 5*z**3 + t*z**2 - 48*z = 0. What is z?
-9, 1, 2
Let l = -171 - -271. Let -l*q**3 - 142 + 22*q**5 + 40*q**2 - 8*q**4 + 110 - 2*q**5 + 80*q = 0. What is q?
-2, -1, 2/5, 1, 2
Let y be -4 + 129/(-12) + 21 + -6. Determine b, given that -1/4*b + y*b**3 + 7/4 - 7/4*b**2 = 0.
-1, 1, 7
Let b be ((-68)/1632)/((-20)/192). Factor 2*v**3 + b*v**4 + 64/5 - 64/5*v - 12/5*v**2.
2*(v - 2)*(v - 1)*(v + 4)**2/5
Let z(h) be the second derivative of -21*h**5/40 + 551*h**4 + 5677*h**3/4 + 1893*h**2/2 - 15*h + 3. Find y, given that z(y) = 0.
-1, -2/7, 631
Let b(n) = -5*n + 40. Let v be b(5). Factor -u**3 + 6*u - 3*u**2 - 8*u**4 - v*u**4 + 24*u**4 - 2 - u.
(u - 1)**3*(u + 2)
Let z be (-12)/44 - (-4 - 246/(-66)). Let q(s) be the first derivative of z*s**3 + 5*s**2 + s**5 - 5*s - 5/2*s**4 + 18. Solve q(y) = 0 for y.
-1, 1
Let a(y) be the third derivative of -1/60*y**4 - 54*y + 7/150*y**5 + 0*y**3 - 1/50*y**6 - 2*y**2 + 0. Find m such that a(m) = 0.
0, 1/6, 1
Let f(d) be the third derivative of d**8/1344 + 3*d**7/56 + 41*d**6/480 - 133*d**5/240 - 7*d**4/16 + 11*d**3/3 - 19*d**2 - 5. Find m such that f(m) = 0.
-44, -2, -1, 1
Let j = 1862 - 1858. Let h(w) be the second derivative of -1/40*w**5 + 0 - 1/4*w**2 - 1/8*w**j + 8*w - 1/4*w**3. Determine a, given that h(a) = 0.
-1
Let u be (-116)/(-14) - 9/(189/6). Suppose -24 = -4*r + u. Factor -22*k - 24*k - 17 - r*k - 7 + 15*k**2.
3*(k - 4)*(5*k + 2)
Let g be 0 - 0 - 14/((-182)/2223). Suppose 0 = 164*m - g*m. Factor -2/19*h**5 + 10/19*h**2 + 6/19*h**3 + m - 2/19*h**4 + 4/19*h.
-2*h*(h - 2)*(h + 1)**3/19
Suppose 399*x**4 + 1425 + 116*x**4 - 970*x**2 + 1885*x + 5*x**5 - 970*x**4 - 1890*x**3 = 0. Calculate x.
-3, -1, 1, 95
Let 3/7*d**4 - 76/7*d**2 + 576/7 + 36/7*d**3 - 288/7*d - 1/7*d**5 = 0. What is d?
-4, 2, 3, 6
Suppose 5*g + 4*j - 987 = 0, j - 5*j = -g + 183. Let a = -193 + g. Solve -2/3*v**3 - 2/3*v**a + 0 - 1/6*v**4 + 0*v = 0.
-2, 0
Let i be ((-5000)/(-240) - 21)/(1/(-9)). Factor 0 - i*y**2 - 3/4*y**3 + 9/4*y.
-3*y*(y - 1)*(y + 3)/4
Let b = -122 - -125. Suppose -7*m**3 - 5*m**4 - 17*m + 5*m**2 + 27*m**b - 3*m = 0. What is m?
-1, 0, 1, 4
Let o be ((-8)/36 - 0) + (-60)/(-27). Suppose 0 = m + o*x - 5 - 2, -4*x + 17 = 3*m. Factor -f**m + 2*f**4 + f**2 + 5*f**2 - 5*f**3 - 18*f + 16*f**3.
2*f*(f - 1)*(f + 3)**2
Suppose -3/4*j**5 + 329550 + 51*j**4 - 3819/4*j**3 - 1131/2*j**2 + 93795*j = 0. What is j?
-5, 26
Let i be (-8)/(-12) + (2 + 6/(-5) - (-12878)/16440). Factor 0 - 49/4*q**3 - i*q + 21/2*q**2.
-q*(7*q - 3)**2/4
Let x be (5168/72)/17 - (-4)/(-18). Factor x + 8 - 3 + a**2 - 3*a - 13.
(a - 4)*(a + 1)
Let u(o) be the second derivative of 0*o**2 + 3/200*o**5 - 1/20*o**4 - 51*o - 1 + 1/300*o**6 - 2/15*o**3. Let u(n) = 0. What is n?
-4, -1, 0, 2
Let c(f) be the first derivative of 0*f**2 - 4/39*f**3 + 3/26*f**4 + 0*f - 2/65*f**5 - 63. Let c(q) = 0. What is q?
0, 1, 2
Let u(a) be the first derivative of a**5/5 - 33*a**4/2 + 104*a**3 - 215*a**2 + 183*a + 15393. Factor u(z).
(z - 61)*(z - 3)*(z - 1)**2
Let p(o) = 6*o**3 - 78*o**2 - 354*o + 411. Let r(m) = 7*m**3 - 80*m**2 - 355*m + 408. Let q(w) = -4*p(w) + 3*r(w). Factor q(g).
-3*(g - 28)*(g - 1)*(g + 5)
Let l(p) be the first derivative of p**5/4 - 5*p**4/3 - 35*p**3/6 + 25*p**2 + 55*p + 8. Let i(z) be the first derivative of l(z). Factor i(x).
5*(x - 5)*(x - 1)*(x + 2)
Let h(i) be the first derivative of i**4/16 - 7*i**3/2 + 60*i**2 - 200*i + 6606. Factor h(z).
(z - 20)**2*(z - 2)/4
Let f = 13577/2 - 6784. Let s(m) be the second derivative of -5*m + 3/2*m**4 + 0*m**2 + 3 + f*m**3 + 3/20*m**5. What is r in s(r) = 0?
-3, 0
Let r(q) be the third derivative of 11/30*q**4 + 0 + 0*q**3 + 0*q + 22*q**2 + 1/150*q**5. Factor r(z).
2*z*(z + 22)/5
Let m(u) be the second derivative of 31/4*u**5 - 15*u**3 - 95/4*u**4 + 0 + 5/6*u**7 + 37/6*u**6 + 52*u + 0*u**2. What is y in m(y) = 0?
-3, -2/7, 0, 1
Let h(o) = -27*o + 151. Let v(q) = 26*q - 149. Let a(m) = 6*h(m) + 5*v(m). Let u be a(5). Factor 1/2*f**2 - u - 1/2*f.
(f - 2)*(f + 1)/2
Factor -10*d + 120*d**2 - d**3 - 36*d**2 + 40 - 41*d**2 - 37*d**2 + 46*d.
-(d - 10)*(d + 2)**2
Let s(l) = -11*l**2 - l - 1. Let d be s(2). Let p = d - -53. Factor -12*c**3 + 23*c**2 + p*c**4 + 2*c**2 - c**4 - 10*c - 8*c**3.
5*c*(c - 2)*(c - 1)**2
Let f(a) be the second derivative of -a**7/2520 - a**6/360 - a**5/180 + 8*a**3 + a + 66. Let z(m) be the second derivative of f(m). Find o, given that z(o) = 0.
-2, -1, 0
Let b(d) be the first derivative of 12*d**3 - 10*d**2 - 11*d + 149. Let n(x) = -4*x**2 - 1. Let t(r) = -b(r) + 6*n(r). Factor t(z).
-5*(2*z - 1)*(6*z + 1)
Let y = 54517/12 - 4543. Let l(u) be the second derivative of -y*u**4 + 0 - 2*u**2 + 2/3*u**3 + 7*u. What is w in l(w) = 0?
2
Let i(r) = -7*r**2 + 56*r - 102. Let k be i(5). Let h(q) be the first derivative of -4*q + 1/3*q**k - 4 + 3/2*q**2. Solve h(m) = 0 for m.
-4, 1
Suppose 54*n = n + 159. Let w be n*60/(-28) - -7. Factor 8/7*s - w*s**2 - 4/7.
-4*(s - 1)**2/7
Suppose -4*m = r, 5*m = -2*r + 2*m - 10. Let d be 7 - (-162)/(-12) - r. Factor 0 - 1/4*i**2 + d*i.
-i*(i - 6)/4
Let d(y) = -y**2 + 2*y + 2. Let c(o) = -3*o**3 - 173*o**2 + 1318*o - 1916. Let g(f) = -c(f) + 2*d(f). Factor g(k).
3*(k - 5)*(k - 2)*(k + 64)
Let o be 61 + -4 + 6 + -5. Factor -10*i + 268*i**3 + o*i**5 + 78*i - 6*i - 16 + 34*i - 22*i**5 - 228*i**2 - 156*i**4.
4*(i - 1)**3*(3*i - 2)**2
Let p(r) be the second derivative of -r**7/1960 - r**6/420 - 11*r**3 - r**2/2 + 112*r. Let y(d) be the second derivative of p(d). Let y(x) = 0. Calculate x.
-2, 0
Let j(n) be the first derivative of n**3/4 - 1395*n**2/8 - 1053*n + 9133. Factor j(q).
3*(q - 468)*(q + 3)/4
Let n(q) be the third derivative of -269361*q**5/40 - 519*q**4/4 - q**3 + 417*q**2. Solve n(i) = 0.
-2/519
Let o be ((-338)/13 - -26)*-1. Let l(x) be the second derivative of o + 1/42*x**4 + 0*x**2 - 8*x + 0*x**3. Solve l(f) = 0 for f.
0
Let v(m) be the second derivative of m**7/5040 + 2*m**6/45 + 64*m**5/15 - 25*m**4/3 - 16*m - 3. Let k(z) be the third derivative of v(z). Factor k(y).
(y + 32)**2/2
Let c = 247476 + -247473. Factor -2/11*m**c + 102/11*m**2 - 1350/11*m + 1250/11.
-2*(m - 25)**2*(m - 1)/11
Let i(g) = -g**3 - 91*g**2 + 806*g + 1388. Let w be i(-99). Let 0 + 4/13*q**3 - 4/13*q + 2/13*q**w - 2/13*q**4 = 0. What is q?
-1, 0, 1, 2
Factor -7661824/5 - 4/5*h**2 - 11072/5*h.
-4*(h + 1384)**2/5
Factor 1780*r + 5983 + 871*r**2 - 876*r**2 + 3042.
-5*(r - 361)*(r + 5)
Solve -49/5*z**2 + 51/5*z - 2/5 = 0.
2/49, 1
Solve 0 - 7/3*v**3 + 48*v + 111*v**2 = 0 for v.
-3/7, 0, 48
Let w(q) = -4*q**3 - 34*q**2 - 20*q - 12. Let t be w(-8). Suppose -14*x - 20 = -t. Suppose p**3 - 1/2*p**4 - 1/2*p**2 + x*p + 0 = 0. Calculate p.
0, 1
Let s be ((-54)/63)/((-1)/168). Factor -108*c**3 + 9 - s*c**2 - 17 - 43*c - 17*c.
-4*(3*c + 1)**2*(3*c + 2)
Let v(b) be the third derivative of -12*b**2 + 14/3*b**3 + 0 + 0*b + b**4 - 1/15*b**5. Determine q, given that v(q) = 0.
-1, 7
Suppose 3*c + 169 + 9 = -44*r + 34*r, -4*r = 76. Factor 1/4*v**5 + 3/4*v**c + 0*v + 0 + 0*v**2 + 1/2*v**3.
v**3*(v + 1)*(v + 2)/4
Determine r so that -84*r - 19*r**4 + 577/3*r**2 - 5/3*r**5 - 196/3 - 67/3*r**3 = 0.
-7, -2/5, 1, 2
Suppose -1145 = -15*n - 305. Let l(m) = m**2 + 3*m - 6. Let o be l(-5). Suppose 51*c**2 + 4*c**4 - n*c**2 + c**o = 0. Calculate c.
-1, 0, 1
Let i be 7659/555*1/23. Let i*q**2 - 42*q + 735 = 0. Calculate q.
35
Let t(f) be the third derivative of f**7/105 + 4*f**6/45 + 7*f**5/45 - 2*f**4/3 - f**3 - 2*f**2 - 1341*f. Suppose t(o) = 0. Calculate o.
-3, -1/3, 1
Let y(o) be the second derivative of o**5/120 + 35*o**4/4 - 631*o**3/36 - 6*o - 402. Factor y(s).
s*(s - 1)*(s + 631)/6
Let -3/2*s**3 - 17/2*s - 3 - 15/2*s**2 + 1/2*s**4 = 0. Calculate s.
-1, 6
Let q(c) be the first derivative of c**9/1008 + c**8/112 + c**7/35 + c**6/30 - 71*c**3/3 - 81. Let f(t) be the third derivative of q(t). Factor f(b).
3*b**2*(b + 1)*(b + 2)**2
Let h(z) be the second derivative of 2*z + 1/42*z**4 - 146/21*z**3 + 5329/7*z**2 - 2. Let h(b) = 0. What is b?
73
Let y(v) be the third derivative of v**8/224 - 124*v**7/35 + 31487*v**6/40 - 911