**3 - 8*k**2 - 14*k + 8. Let m be h(-5). Factor 8/5 + 2/5*b**m + 0*b - 6/5*b**2.
2*(b - 2)**2*(b + 1)/5
Let k(l) be the second derivative of l**7/630 - l**6/60 + l**5/36 - l**2/2 - 19*l. Let d(t) be the first derivative of k(t). Factor d(g).
g**2*(g - 5)*(g - 1)/3
Factor 38*f**3 - 39*f**3 + 2*f**5 + 18*f**4 + 29*f**3.
2*f**3*(f + 2)*(f + 7)
Let l(z) be the second derivative of -z**6/90 - z**5/3 - 25*z**4/6 + 2*z**3/3 - 7*z. Let d(x) be the second derivative of l(x). Find j such that d(j) = 0.
-5
Let m(y) be the first derivative of -y**6/36 + y**5/10 - y**4/12 + 119. Determine h so that m(h) = 0.
0, 1, 2
Let d be 1/(-5) + 633/15. Factor 84 + l**2 - d - 42 + l.
l*(l + 1)
Let r(l) = -9*l**4 - 37*l**3 - 84*l**2 - 103*l - 32. Let c(g) = -14*g**4 - 56*g**3 - 126*g**2 - 156*g - 48. Let a(m) = 5*c(m) - 8*r(m). Factor a(q).
2*(q + 1)**2*(q + 2)*(q + 4)
Let y = 1/3906 + 7801/42966. Factor y*r**2 + 0 + 0*r.
2*r**2/11
Solve 4*u**2 - 7*u**3 + 5/2*u**5 - 17/2*u**4 + 0*u + 0 = 0.
-1, 0, 2/5, 4
Factor 1/3*g**3 - 2 + 1/3*g + 4/3*g**2.
(g - 1)*(g + 2)*(g + 3)/3
What is h in -4/9*h**5 + 26/9*h**4 + 4/3*h - 8/9*h**3 - 26/9*h**2 + 0 = 0?
-1, 0, 1/2, 1, 6
Suppose -12*g - 1 + 1 = 0. Let k(s) be the second derivative of -1/5*s**5 - 1/6*s**4 + g*s**6 - 4*s + 1/2*s**3 + 1/42*s**7 + 0 + s**2. What is j in k(j) = 0?
-1, 1, 2
Let q = 19593/4 - 4898. Factor 0 + 1/2*s**3 + 0*s - 1/4*s**2 - q*s**4.
-s**2*(s - 1)**2/4
Let r(a) be the first derivative of -a**4/2 - 4*a**3/3 - a**2 - 70. Factor r(t).
-2*t*(t + 1)**2
Let b(j) be the third derivative of j**5/240 + 11*j**4/24 + 7*j**3/2 - 27*j**2 - 11*j. Find w such that b(w) = 0.
-42, -2
Let l(x) = -3*x**3 + 6*x**2 + 4*x - 2. Let h(c) = -3*c**3 + 6*c**2 + 6*c - 3. Let m(k) = -2*h(k) + 3*l(k). Suppose m(r) = 0. What is r?
0, 2
Suppose q = -p + 6, 5*p - q = 10*p - 14. Suppose -2/5*d**4 - 6/5*d**p + 6/5*d**3 + 2/5*d + 0 = 0. Calculate d.
0, 1
Let q be (1/(-1))/(3*(-2)/24). Suppose -3*d**q - 15*d**5 + 6*d**2 - 40*d - 2*d**4 + 70*d**3 + 14*d**2 = 0. What is d?
-2, -1, 0, 2/3, 2
Let b = -2066 - -10354/5. Factor 2/5*y**5 + 4*y**2 + 12/5*y**4 + 6/5*y + b*y**3 + 0.
2*y*(y + 1)**3*(y + 3)/5
Let c(k) be the third derivative of k**5/12 + 25*k**4/24 - k**2 + k. Find z, given that c(z) = 0.
-5, 0
Let a be ((-364)/(-130) - 24/10)*2/4. Factor -24/5 - 2*r**2 - 28/5*r - a*r**3.
-(r + 2)**2*(r + 6)/5
Let z(j) be the third derivative of j**7/105 + j**6/60 - 2*j**5/5 - 4*j**2 + 44*j. Factor z(r).
2*r**2*(r - 3)*(r + 4)
Let s(p) be the first derivative of -5*p**6/6 + 11*p**5 - 155*p**4/4 + 85*p**3/3 + 80*p**2 - 140*p + 319. Find c, given that s(c) = 0.
-1, 1, 2, 7
Let t(q) be the third derivative of 0*q**4 + 3/2*q**3 - 1/30*q**5 + 0 - 1/180*q**6 + 0*q - 6*q**2. Let r(f) be the first derivative of t(f). Factor r(y).
-2*y*(y + 2)
Let n be 1 + (1/(-2))/((-1)/2). Suppose 0*z - 10 = n*m - 4*z, -3*m + 2*z = -1. Factor -20/7*h**2 - 2/7 - 10/7*h**4 + 20/7*h**m + 10/7*h + 2/7*h**5.
2*(h - 1)**5/7
Let m(g) be the second derivative of g**10/196560 + g**9/49140 - g**7/8190 - g**6/4680 - 5*g**4/12 + 5*g. Let l(a) be the third derivative of m(a). Factor l(h).
2*h*(h - 1)*(h + 1)**3/13
Suppose 3 = 2*t - 3*v - 20, t + 3*v = 16. Factor t - 2*y**2 - 13.
-2*y**2
Let r(i) = 29*i + 176. Let s be r(-6). Let f(n) be the first derivative of -6*n**3 + 8 - 24*n - 18*n**s - 3/4*n**4. Determine x so that f(x) = 0.
-2
Factor 181*d**4 - 1325*d + 934*d - 1270*d - 1089*d - 176*d**4 - 5625 + 30*d**3 - 300*d**2.
5*(d - 9)*(d + 5)**3
Let b(t) be the first derivative of t**5/45 - 5*t**4/9 - 22*t**3/27 + 10*t**2/9 + 7*t/3 - 233. Factor b(h).
(h - 21)*(h - 1)*(h + 1)**2/9
Suppose 0*n**2 - 13*n**2 - n**2 + 400 - 398*n + 12*n**2 = 0. Calculate n.
-200, 1
Suppose -3*v - 2*z + 3 = 0, 18 - 3 = v - 4*z. Find d such that -957*d + 961*d - 2*d**v + 0*d**2 - 2*d**2 = 0.
-2, 0, 1
Factor 207*i**3 - 124*i**2 - 424 + 1020*i - 476 - 203*i**3.
4*(i - 15)**2*(i - 1)
Let d(t) be the first derivative of 0*t + 9 - 9/7*t**3 - 9/14*t**4 + 0*t**2 - 3/35*t**5. Factor d(f).
-3*f**2*(f + 3)**2/7
Let c(z) be the first derivative of -5*z**6/24 + 3*z**5/20 + 5*z**4/4 - z**3 - 93. Let c(i) = 0. What is i?
-2, 0, 3/5, 2
Let w be ((-4)/(-6))/(-1*(-48)/(-81)). Let n = 13/8 + w. Solve 0*r**3 - r**2 + 1/2 + n*r**4 + 0*r = 0 for r.
-1, 1
Let a be (-6 - -10) + ((-910)/175)/(32/20). Determine i so that -1/4*i**2 - 1/2*i + a = 0.
-3, 1
Let x(n) be the third derivative of n**7/5040 + n**6/180 + n**5/15 - n**4/4 - 9*n**2. Let f(b) be the second derivative of x(b). Suppose f(s) = 0. What is s?
-4
Let n be (13 + 2023/(-153))/((-5)/9). Factor 0*l**2 + n*l**3 - 14/5*l + 12/5.
2*(l - 2)*(l - 1)*(l + 3)/5
Let o(k) be the third derivative of -1/3*k**5 - 8*k**2 - 25/3*k**3 + 0*k + 0 + 205/24*k**4. Solve o(n) = 0.
1/4, 10
Let q(j) be the second derivative of 0 - 18*j**2 + 3/20*j**5 - 5/2*j**4 - 23/2*j**3 - 15*j. Factor q(i).
3*(i - 12)*(i + 1)**2
Let c(i) = 10*i**2 + 50*i. Let y be c(-5). Let r(l) be the third derivative of 1/36*l**4 - 1/180*l**5 + 0*l**3 + 0 + 6*l**2 + y*l. Factor r(z).
-z*(z - 2)/3
Suppose 135 = h + 2*h. Find u, given that 225*u + h*u**2 + 129 + 217 + 3*u**3 + 160 - 131 = 0.
-5
Let w be (-20)/12 - (-6 + 18 - 14). Find c such that w*c**3 + 1/3 + c**2 + c = 0.
-1
Let h(y) = -y - 13. Let w be h(-14). Let z = w + 1. Factor 3 - 3 - 4 + z*n**2 + 2*n.
2*(n - 1)*(n + 2)
Let d be -11 - (-675)/63 - -2. Let 4/7*o - d*o**2 - 4/7*o**3 + 4/7*o**4 + 8/7 = 0. What is o?
-1, 1, 2
Let q(s) be the first derivative of -s**3/5 + 342*s**2/5 - 38988*s/5 + 876. Factor q(o).
-3*(o - 114)**2/5
Let x(k) be the second derivative of k**2 + 7/24*k**4 + 12*k - 4/3*k**3 + 0. Let x(d) = 0. What is d?
2/7, 2
Let z(d) be the first derivative of -d**6/540 - d**5/90 - d**4/54 + 4*d**2 + 15. Let p(s) be the second derivative of z(s). Factor p(u).
-2*u*(u + 1)*(u + 2)/9
Let t(i) be the second derivative of -18*i**2 + 0 - 4*i**3 + 2*i - 1/3*i**4. Factor t(n).
-4*(n + 3)**2
Suppose -4/7*y**2 - 20/7*y + 200/7 = 0. Calculate y.
-10, 5
Let g(i) = i**4 + 8*i**3 - 14*i**2 - 3*i - 2. Let k(r) = -r**4 + r**3 - r**2 - 1. Let t(x) = g(x) - 5*k(x). Let t(b) = 0. What is b?
-1, 1/2, 1
Let a(s) be the second derivative of -5/4*s**5 + 2*s + 10*s**2 + 0 - 35/12*s**4 + 20/3*s**3. Suppose a(m) = 0. What is m?
-2, -2/5, 1
Determine i so that -452*i**4 + 1034*i**3 - 16000 + 5184 - 16640*i + 26412*i**2 + 462*i**4 = 0.
-52, -2/5, 1
Let n(q) be the third derivative of -q**7/70 - 11*q**6/20 - 145*q**2. Factor n(h).
-3*h**3*(h + 22)
Let w = -1368 + 129962/95. Let z(j) be the first derivative of 0*j + 2/57*j**3 + 0*j**4 + 0*j**2 - w*j**5 - 3. Solve z(f) = 0.
-1, 0, 1
Suppose 17*w**3 - 10*w**4 - 2*w**2 - 14*w**3 + 3*w**5 + 6*w**3 = 0. What is w?
0, 1/3, 1, 2
Let r(x) = 20*x - 1. Let v be r(1). Find h such that 4*h**2 - 2*h - 7*h + 18*h**3 - 2 - v*h**5 + 10*h**5 - 2*h**4 = 0.
-1, -2/9, 1
Let f be (408/288)/17*16. Factor -1/3*w**4 + 0 + f*w + 0*w**2 - w**3.
-w*(w - 1)*(w + 2)**2/3
Let s(b) be the second derivative of b**8/168 - b**6/20 + b**5/15 + b**2/2 - 9*b. Let w(n) be the first derivative of s(n). Factor w(j).
2*j**2*(j - 1)**2*(j + 2)
Let p be 4*(2/(-6))/((-220)/66). Suppose -f - 7/5*f**2 + p = 0. Calculate f.
-1, 2/7
Let a(m) = m**2 + 9*m + 4. Let v(h) = -h - 3. Let s(p) = a(p) - 2*v(p). Factor s(r).
(r + 1)*(r + 10)
Suppose -22 = 9*s - 31*s. Let p be 8*1/2 + s + -5. Determine x, given that -2/7*x**4 - 2/7*x**3 + 0*x**2 + 0*x + p = 0.
-1, 0
Let l(m) be the second derivative of -m**6/90 + m**5/60 + 4*m**4/9 - 8*m**3/9 - 10*m. Factor l(h).
-h*(h - 4)*(h - 1)*(h + 4)/3
Let z = 59 - 55. Factor d**5 - 129*d**4 - 3*d**5 - 4*d**3 + 137*d**z - 2*d**5.
-4*d**3*(d - 1)**2
Find j, given that -2*j**3 - 9/2 - 1/2*j**4 + j**2 + 6*j = 0.
-3, 1
Find y, given that 6 - y - 6*y**2 + 0*y**2 + 9*y + y + 3*y**5 - 12*y**3 = 0.
-1, 1, 2
Let f = 2 - -2. Let r(n) = 0*n**2 - f*n**2 - 10*n - 6 + 4 - 4*n**2. Let a(s) = s**2 - 1. Let o(d) = 2*a(d) + r(d). Factor o(p).
-2*(p + 1)*(3*p + 2)
Let k(c) be the third derivative of c**8/30240 + c**7/3780 + 7*c**5/60 - 10*c**2. Let a(b) be the third derivative of k(b). Let a(u) = 0. Calculate u.
-2, 0
Let q(m) be the second derivative of m**8/33600 - m**6/3600 + 7*m**4/12 - 8*m. Let g(a) be the third derivative of q(a). Factor g(y).
y*(y - 1)*(y + 1)/5
Factor 152