(x) be the first derivative of -4*x**3/3 - 114*x**2 + 232*x - 501. Find g such that y(g) = 0.
-58, 1
Let c(b) be the second derivative of b**4/6 - 10*b**3 + 196*b**2 + 27*b. Let p(k) = -2*k**2 + 61*k - 392. Let j(i) = -5*c(i) - 4*p(i). Factor j(x).
-2*(x - 14)**2
Let j be 10/(-6) - 990/(-572). Let t(i) be the second derivative of -2/39*i**3 - 2/65*i**5 + 0 + 0*i**2 + 5*i - j*i**4 - 1/195*i**6. Factor t(y).
-2*y*(y + 1)**2*(y + 2)/13
Suppose -3*d + 2*f = 28, -2*d + f = 2*d + 44. Let o be 8 + ((-34)/12 - (-2)/d). Solve 1/2*m**4 + 1/4*m - 1/4*m**o + 0 - 1/2*m**2 + 0*m**3 = 0 for m.
-1, 0, 1
Let c(a) be the second derivative of -a**7/14 - 9*a**6/10 + 63*a**5/20 - 11*a**4/4 + 259*a. Suppose c(y) = 0. Calculate y.
-11, 0, 1
Suppose -4*d - 60 = -2*d. Let l be (d/45)/(1/(-3)). Solve -2/5*s**l + 0 + 2/5*s**4 + 1/5*s**5 - 1/5*s**3 + 0*s = 0 for s.
-2, -1, 0, 1
Let c(u) = -61*u + 246. Let i be c(4). Let -1/3 + 2/3*z - 1/3*z**i = 0. What is z?
1
Let v be 4/92 + (-2458)/(-598). Determine o so that v*o**2 - 30/13*o + 4/13 = 0.
2/9, 1/3
Let v(p) be the third derivative of -p**5/210 + 4*p**3/21 + 7*p**2 - 12. Solve v(y) = 0 for y.
-2, 2
Suppose 0 = 67*i - 61*i. Let j be (-5)/(-9) + (-2)/6. Factor 4/9*b**4 + i + j*b**5 + 2/9*b**3 + 0*b + 0*b**2.
2*b**3*(b + 1)**2/9
Let j be 2277/5589 - 2/6. Let x(n) be the third derivative of -j*n**3 + 2/45*n**5 + 0 + 1/36*n**4 - 9*n**2 + 7/540*n**6 + 0*n. Find m such that x(m) = 0.
-1, 2/7
Let t(b) be the first derivative of -5*b**8/336 + b**7/21 - b**5/6 + 5*b**4/24 - 10*b**2 - 22. Let y(o) be the second derivative of t(o). Factor y(s).
-5*s*(s - 1)**3*(s + 1)
Let j = -31 - -29. Let o be j/10 - 4/(-20). Factor -8/9*a**2 + o - 2/9*a**3 - 8/9*a.
-2*a*(a + 2)**2/9
Suppose 331*d = 305*d. Let o = 0 - 0. Factor -1/2*u**4 + u**2 - 1/2 + d*u + o*u**3.
-(u - 1)**2*(u + 1)**2/2
Let r = -15 + 18. Suppose -5*d = 5*y - 5, 19 = 5*d + r*y - 5*y. Factor -4*j**2 + 4*j**d - 3*j**2 + 0*j**2 + 3*j**2.
4*j**2*(j - 1)
Let q(j) = 2*j**2 - 111*j - 107. Let m(z) = 3*z**2 - 109*z - 108. Let r(p) = -3*m(p) + 2*q(p). Find l, given that r(l) = 0.
-1, 22
Factor -188*k + 3592*k**5 - 7176*k**5 + 8*k**2 + 92 + 184*k**3 - 100*k**4 + 3588*k**5.
4*(k - 23)*(k - 1)**3*(k + 1)
Let b(j) = 6 + 111*j + 0 - 5. Let x be b(1). Solve -111*c**2 - x*c - 9*c**2 - 10*c**3 - 26*c**3 - 32 = 0.
-2, -2/3
Let o(d) be the third derivative of d**8/896 + 3*d**7/560 + d**6/160 - d**5/80 - 3*d**4/64 - d**3/16 - 160*d**2. Factor o(p).
3*(p - 1)*(p + 1)**4/8
Let u(l) be the first derivative of 15*l**4/4 - 20*l**3/3 - 85*l**2/2 + 30*l + 149. Suppose u(z) = 0. What is z?
-2, 1/3, 3
Let k(u) be the third derivative of -u**6/40 - 33*u**5/5 - 726*u**4 - 42592*u**3 - 64*u**2 - 5. Factor k(w).
-3*(w + 44)**3
Let f = -151 + 154. Let i(x) be the second derivative of 1/21*x**f + 0*x**2 + 1/42*x**4 + 0 - 5*x. Suppose i(z) = 0. What is z?
-1, 0
Let o be (7 + -8)/(3/4 - 1). Let h(p) be the second derivative of 1/12*p**4 - 2/3*p**3 + o*p + 2*p**2 + 0. Factor h(i).
(i - 2)**2
Let j(w) be the first derivative of 245*w**6/3 - 476*w**5/5 - 17*w**4 + 304*w**3/21 + 5*w**2 + 4*w/7 - 119. Suppose j(y) = 0. What is y?
-1/7, 2/5, 1
Let r = 67957035183/1505 + -45154173. Let d = r + -2/1505. Let 26/5*l**2 - 8/5 - 6/5*l**4 - 4/5*l**5 + 0*l + d*l**3 = 0. Calculate l.
-2, -1, 1/2, 2
Factor 11/4*n**2 + 0 + 1/4*n**3 + 5/2*n.
n*(n + 1)*(n + 10)/4
Let g(r) be the first derivative of -r**6/27 - 8*r**5/5 - 107*r**4/6 + 220*r**3/27 + 116*r**2 + 144*r + 77. Let g(y) = 0. Calculate y.
-18, -1, 2
Let y(w) be the second derivative of 1/48*w**4 - 1/4*w**2 + 0 - 18*w + 1/120*w**6 - 3/80*w**5 + 1/8*w**3. Factor y(p).
(p - 2)*(p - 1)**2*(p + 1)/4
Let a be ((-145)/15)/((-22)/(-6)) + 3. Suppose -a*p - 2/11*p**2 - 2/11 = 0. Calculate p.
-1
Suppose -3/5*i**3 + 36*i**2 - 2871/5*i + 5046/5 = 0. What is i?
2, 29
Let k(j) = j**2 - 10*j - 7. Let x be k(11). Suppose 0 = m - x*m. Factor m*b**5 + b**5 - 2*b**4 - 5*b**3 + 8*b**2 + 3*b**3 - 2*b**3.
b**2*(b - 2)**2*(b + 2)
Suppose 0*s = -s + 6*s. Let u(f) = -f**2 + 2*f + 3. Let o be u(s). Factor 0*j + 3*j**o - 3/5*j**2 - 12/5*j**4 + 0.
-3*j**2*(j - 1)*(4*j - 1)/5
Suppose -3*j = 5*r + 13, 2*j - 2*r - 18 = -0*j. Let k(h) be the third derivative of 4/15*h**5 + 1/6*h**3 - 4*h**2 + 0*h + 0 + 1/3*h**j. Factor k(l).
(4*l + 1)**2
Let a = -143696/33 - -4354. Let s = 34/231 - a. Factor 4/7*f**3 + 0 + s*f**2 - 4/7*f**5 - 4/7*f**4 + 0*f.
-4*f**2*(f - 1)*(f + 1)**2/7
Let c(m) be the third derivative of m**6/540 + 8*m**5/135 - 35*m**4/108 + 2*m**3/3 - 4*m**2 - 2. Factor c(w).
2*(w - 1)**2*(w + 18)/9
Factor 2*y**3 - 576 - 20510*y**2 + 20557*y**2 + 528*y - y**3.
(y - 1)*(y + 24)**2
Factor -481/8*c + 169/8 - 23/8*c**4 + 215/4*c**2 - 47/4*c**3 - 1/8*c**5.
-(c - 1)**3*(c + 13)**2/8
Let q(a) be the second derivative of -a**4/54 - a**3/9 + 131*a. Factor q(m).
-2*m*(m + 3)/9
Let c be (2/5)/(27/90). Factor 0 - 2/3*b**4 + 2/3*b**2 - c*b + 4/3*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)/3
Let m = -7012 + 49092/7. Factor -8/7*s - m + 2/7*s**2 + 2/7*s**3.
2*(s - 2)*(s + 1)*(s + 2)/7
Let j(w) be the second derivative of -w**5/4 - 85*w**4/6 + 355*w**3/6 - 90*w**2 + 146*w. Factor j(h).
-5*(h - 1)**2*(h + 36)
Let t(k) be the first derivative of -3*k**5/5 + 3*k**4 - 4*k**3 + 342. Factor t(a).
-3*a**2*(a - 2)**2
Let h(o) be the third derivative of o**6/240 + 3*o**5/5 + 36*o**4 + 1152*o**3 + 12*o**2 + 2*o. Find g such that h(g) = 0.
-24
Let t(b) be the third derivative of -5*b**8/336 - 3*b**7/14 + 5*b**6/12 - 276*b**2. Factor t(r).
-5*r**3*(r - 1)*(r + 10)
Let q(k) = -k**2 - 9*k + 3. Let v be q(-9). Let x be 3 + 3 + 1 + -3. Factor 2*i + 4*i**2 - 2*i**4 + v*i**3 - i - i**2 + 3*i**x.
i*(i + 1)**3
Let t(h) = h - 31. Let u be t(32). Let x be 0/(6/u) + 0. Factor -5/6*a**2 + 0 + x*a.
-5*a**2/6
Let p be (-27)/81 - 1228/6. Let o = -205 - p. Solve 1/2*b**4 + o*b + 2/3 - 1/6*b**3 - 7/6*b**2 + 1/6*b**5 = 0.
-2, -1, 1
Let r be 488/12 - 2/(-6). Let x(t) = -t**2 + 22. Let s be x(0). Factor 45*j + 12*j**5 + 0 + s*j**4 + r*j**4 + 6 + 123*j**3 + 111*j**2.
3*(j + 1)**3*(j + 2)*(4*j + 1)
Factor 36*o - 21*o**2 + 40 - 21*o**2 - 12*o**2 + 50*o**2.
-4*(o - 10)*(o + 1)
Let p(y) be the second derivative of 1/120*y**6 - 1/12*y**3 - 5/48*y**4 + 0*y**2 + 0 - 3/80*y**5 + 1/168*y**7 + 19*y. Let p(q) = 0. Calculate q.
-1, 0, 2
Let x = -2240 - -2242. Solve 1 + 5/4*t**3 - 3/4*t**x - 1/4*t**4 - 5/4*t = 0 for t.
-1, 1, 4
Let h be ((-564)/(-1692))/((-106)/(-96) + -1). Factor 8/5*i + 1/5*i**2 + h.
(i + 4)**2/5
What is q in -111*q - 9*q - 36*q**2 - 382*q**3 + 377*q**3 - 19*q**2 = 0?
-8, -3, 0
Let y be (-38)/(-5) - (-14)/(-35). Let k = 14727/10 + -2935/2. Factor -k*w - 4/5 - y*w**2.
-2*(2*w + 1)*(9*w + 2)/5
Suppose -113*p + 89 + 137 = 0. Let -1/2*i + 1/4 + 1/4*i**p = 0. What is i?
1
Suppose 3*a - 2*v + 0*v - 14 = 0, 4*v + 18 = a. Determine z so that 20 + z**a + 3*z**2 - 9*z**2 = 0.
-2, 2
Let u = 17 - 10. Factor 2*j**3 - 6*j**2 + 7*j**2 + u*j**2.
2*j**2*(j + 4)
Suppose 4*p - 64 + 44 = 0. Suppose p*b = -c + 6 + 7, -2*b = -2*c - 10. Suppose -8/9*h**2 - 2/9*h**b + 8/9*h**4 + 2/9*h + 0 = 0. What is h?
-1, 0, 1/4, 1
Let m(o) = -o + 13. Let b be m(10). Let q(f) = -8*f**2 + 27*f - 27. Let z(s) = -4*s**2 + 13*s - 13. Let r(k) = b*q(k) - 5*z(k). Factor r(h).
-4*(h - 2)**2
Let 7/2*f**3 + f + 0 - 9/2*f**2 = 0. What is f?
0, 2/7, 1
Let h(i) be the third derivative of 0*i + 0*i**3 - 22*i**2 + 1/20*i**5 - 5/8*i**4 + 0. Solve h(c) = 0 for c.
0, 5
Let l(i) be the first derivative of i**5/15 + 2*i**4/3 + 8*i**3/3 - 11*i**2/2 - 1. Let h(c) be the second derivative of l(c). Find j, given that h(j) = 0.
-2
Suppose 7/2*v**2 + 7/4*v - 5/2 - v**4 - 2*v**3 + 1/4*v**5 = 0. What is v?
-2, -1, 1, 5
Let l(i) = -i**3 - 53*i**2 - 692*i - 43. Let v be l(-23). Factor -8*c - 32/3 - 1/6*c**v + 5/2*c**2.
-(c - 8)**2*(c + 1)/6
Let n(g) be the second derivative of 9*g + 0 - 4*g**2 + 1/40*g**5 + 1/3*g**3 + 1/6*g**4. Let l(p) be the first derivative of n(p). Factor l(x).
(x + 2)*(3*x + 2)/2
Let m = 1739/260 + 4/65. Factor -m*l**3 - 15/4*l - 12*l**2 + 3/2.
-3*(l + 1)**2*(9*l - 2)/4
Let s(v) be the third derivative of v**6/180 - v**5/60 - v**4/6 + 11*v**3/6 - 7*v**2. Let u(x) be the first derivative of s(x). Let u(i) = 0. Calculate i.
-1, 2
Let r(p) = -60*p**3 - 5964*p**2 - 147984*p + 49984. Let i(m) = 12*m**