2*b**2 + 69*b. Let y(d) be the first derivative of m(d). Suppose y(s) = 0. Calculate s.
-3, 0
Suppose -2*f = -2*j, -2*f = -j + 2*j - 15. Suppose z + 2 - f = 0. Solve 4*v**z - 13*v + 83*v - 85*v**2 - 40 + 11*v**3 + 40*v = 0.
2/3, 1, 4
Find i, given that 4*i**5 - 42*i**4 + 26*i + 14*i + 35*i**4 - 14*i**4 - 114*i**2 - 179*i**3 = 0.
-4, -1, 0, 1/4, 10
Let y be 12/((-360)/795) + 31. Suppose -12 - 3/2*m**3 + y*m**2 + 9*m = 0. Calculate m.
-2, 1, 4
Let v(t) be the first derivative of 3*t**4/8 - 5*t**3/2 - 9*t**2/2 + 462. Factor v(b).
3*b*(b - 6)*(b + 1)/2
Let j(l) be the first derivative of -l**4/14 + 22*l**3/7 - 26*l**2 - 1740. Determine i, given that j(i) = 0.
0, 7, 26
Let r = -324973 - -324975. Solve -2/13*p**3 + 2/13 - 2/13*p**r + 2/13*p = 0 for p.
-1, 1
Let u(q) be the third derivative of 1/20*q**5 + 1/4*q**4 + 0 + 0*q + 16*q**2 - 4*q**3. Factor u(m).
3*(m - 2)*(m + 4)
Let r be -1*(-15)/(-6)*(-11 - 705/(-75)). Let j(t) be the first derivative of r*t + 3*t**2 - 1/2*t**4 + 4 + 0*t**3. Factor j(o).
-2*(o - 2)*(o + 1)**2
Let r(n) be the second derivative of -n**7/252 - n**6/15 - 9*n**5/20 - 14*n**4/9 - 35*n**3/12 - 3*n**2 - 40*n + 25. Suppose r(x) = 0. What is x?
-4, -3, -1
Let z be 14384/(-93)*150/(-8). Suppose 5*s - 5*p - 2892 = -2*p, 5*s - 5*p - z = 0. Factor -s*k**3 + 486*k**5 + 416/3*k**2 - 32/3*k + 648*k**4 + 0.
2*k*(k + 2)*(9*k - 2)**3/3
Let j(u) be the second derivative of -5/4*u**4 - 228*u + 13/2*u**3 - 21/2*u**2 - 3/20*u**5 + 0. Suppose j(g) = 0. Calculate g.
-7, 1
Suppose -8*m - 2*w = -12*m - 60, -4*m + w = 60. Let q be (-93)/m + -7 + 2. Solve q*h + 3/5*h**2 + 3/5 = 0 for h.
-1
Let -625/2*p - 2501/8 + 1/8*p**2 = 0. What is p?
-1, 2501
Let c(g) = 35*g**4 + 52*g**3 - 2054*g**2 + 16124*g + 18255. Let w(s) = -9*s**4 + 7*s**3 - s**2 - s + 1. Let l(d) = -c(d) - 4*w(d). Factor l(h).
(h - 31)**2*(h - 19)*(h + 1)
What is d in 2/9*d**2 - 2/9*d - 112/9 = 0?
-7, 8
Let m be 3*(-460)/(-3600) + 64/(-30) + 2. Let o(b) be the first derivative of -3*b - m*b**3 - 18 + 15/8*b**2. Factor o(q).
-3*(q - 4)*(q - 1)/4
Let k be (-6)/(-33) + (-141)/(-11). Suppose -v + k = -4*d, -v = -d - 7 - 0. Suppose -692*y**2 + 120*y**2 - 11 - v + 242*y**3 + 184*y = 0. Calculate y.
2/11, 2
Let c = 89356 + -89353. Find j, given that 82/5*j + 122/5*j**2 + 62/5*j**c + 6/5*j**4 + 16/5 = 0.
-8, -1, -1/3
Let t(n) be the third derivative of -n**11/166320 + n**9/15120 - n**7/2520 - 7*n**5/15 - 76*n**2. Let q(w) be the third derivative of t(w). Factor q(c).
-2*c*(c - 1)**2*(c + 1)**2
Suppose 0 = 219*a - 222*a + 645. Let h be (-2)/(-6) - 2/((-30)/a). Factor h*m - 2/3*m**2 - 242/3.
-2*(m - 11)**2/3
Let g be (7 - 2) + (-8647271)/(-3927) + 36/(-378). Factor 6/11*r**4 + g*r + 300/11*r**3 + 4896/11*r**2 - 29478/11.
6*(r - 1)*(r + 17)**3/11
Let 1/9*i**5 - i**3 + 0*i - i**2 + 1/9*i**4 + 0 = 0. Calculate i.
-3, -1, 0, 3
Factor 99*h - 1/6*h**2 - 593/6.
-(h - 593)*(h - 1)/6
Let m(p) = p**3 + 18*p**2 - 161*p + 1224. Let o be m(-26). Let 0*s**3 - 2 - 4*s**o - 16/3*s + 2/3*s**4 = 0. What is s?
-1, 3
Let m be (-9)/(27/(-12))*1/2. Let i**2 - 13 + 19 - m*i - 14 = 0. What is i?
-2, 4
Let t(r) = 6*r**2 + 19 + 14*r + 0*r + 16*r + 15. Let n(j) = 2*j**2 + 10*j + 11. Let o(p) = 20*n(p) - 6*t(p). Factor o(h).
4*(h + 1)*(h + 4)
Let f be ((-6)/(-57)*969/204)/(2/8). Let n(j) be the first derivative of 7/4*j**3 - 11/4*j**2 - 1/2*j**4 - 4 + f*j + 1/20*j**5. Solve n(u) = 0 for u.
1, 2, 4
Let h = -1445575 - -15901335/11. Factor h*t + 72/11 - 2/11*t**2.
-2*(t - 9)*(t + 4)/11
Suppose -4*r = -16, -5*r = 12*g - 10*g - 56. Suppose 1 = -d - i, -15*i = d - g*i - 15. What is l in 8/9*l**2 - 8/9*l - 2/9*l**d + 0 = 0?
0, 2
Suppose -18*t = 107 - 287. Suppose -5*z = 2*p - 7, 5*p - t = -4*z - 1. Suppose -2/3*c - 1/3*c**2 + p = 0. What is c?
-3, 1
Solve 3520/13*s - 388/13*s**2 + 10/13*s**3 + 4800/13 = 0 for s.
-6/5, 20
Let c(h) be the third derivative of -1/1680*h**8 + 0*h - 13/300*h**5 + 0 - 1/40*h**6 - 214*h**2 - 1/30*h**4 + 0*h**3 - 1/150*h**7. Factor c(w).
-w*(w + 1)**3*(w + 4)/5
Let i = 17017 - 85081/5. Let o(n) be the second derivative of 0*n**2 + 0 - 19*n - 9/4*n**5 + i*n**6 - 1/14*n**7 - 2*n**4 + 8*n**3. Find j, given that o(j) = 0.
-1, 0, 1, 4
Let j(h) be the second derivative of 6*h**2 + 0 + 85*h + 8/3*h**3 + 1/3*h**4. Factor j(d).
4*(d + 1)*(d + 3)
Let g(l) be the second derivative of 0 - 23/15*l**3 + 1/30*l**4 + 29*l + 0*l**2. Determine w, given that g(w) = 0.
0, 23
Let d(k) be the third derivative of 2*k**2 + 2/21*k**3 + 1/21*k**6 + 0 - 1/28*k**4 + 29*k - 2/35*k**5. Factor d(o).
2*(2*o - 1)**2*(5*o + 2)/7
Suppose 0 = 2126*h - 2005*h. Let d(f) be the second derivative of 0*f**3 - 10*f + 1/2*f**6 + 0 + 5/6*f**4 + 7/4*f**5 + h*f**2. Factor d(q).
5*q**2*(q + 2)*(3*q + 1)
Let u(y) be the first derivative of 3*y**5/140 - y**4/7 - 2*y**3 - 48*y**2/7 + 80*y - 71. Let a(p) be the first derivative of u(p). Factor a(t).
3*(t - 8)*(t + 2)**2/7
Let m(p) be the third derivative of p**8/56 + 8*p**7/21 + 11*p**6/60 - 391*p**5/15 + 123*p**4 - 216*p**3 - 865*p**2 + p - 1. Suppose m(z) = 0. Calculate z.
-9, 2/3, 2
Let h(i) be the third derivative of 0*i + 1/240*i**5 - 52*i**2 + 7/96*i**4 + 0 + 1/4*i**3. Suppose h(p) = 0. Calculate p.
-6, -1
Let n(r) = -2*r**2 + 28*r + 7. Let c be n(22). Let h be (1*-1 - -4) + c/207. Let -4/3 - 4/3*o**3 + 2/3*o**5 - 16/3*o**2 + h*o**4 - 14/3*o = 0. What is o?
-1, 2
Let v be 3/(-8) + (-20706)/(-48). Factor j**5 - 5*j**4 + 1294*j - 436*j + 5*j**2 - 431*j - v*j + 3*j**3.
j*(j - 4)*(j - 1)**2*(j + 1)
Suppose 4*h + y - 10 = -0*h, -4*y - 21 = 3. Factor 0 - 5/3*w**5 - 40/3*w**h - 65/3*w**3 + 0*w - 10*w**2.
-5*w**2*(w + 1)**2*(w + 6)/3
Let l(n) be the first derivative of -26*n**3/3 - 7*n**2 + 40*n + 874. Let l(p) = 0. Calculate p.
-20/13, 1
Let a(n) be the first derivative of 2/25*n**5 + 0*n - 1/5*n**2 + 39 - 3/10*n**4 + 2/5*n**3. Determine y, given that a(y) = 0.
0, 1
Let g be ((-2)/((-20)/(-2)))/(-1). Let z(d) = -868*d + 456570. Let a be z(526). What is n in 3/5*n**a - g*n**5 + 2/5*n - 3/5*n**4 + 0 - 1/5*n**3 = 0?
-2, -1, 0, 1
Suppose -r + 0*r = 0. Suppose 14*h - 12*h - 6 = r. Determine t so that -2*t**3 - 32 - 5*t**5 - 14*t**2 + 3*t**5 - 36*t**2 + 10*t**4 - 80*t + 12*t**h = 0.
-1, 4
Let i(a) be the third derivative of -a**7/1575 - 31*a**6/150 + 42*a**5/25 - 38*a**4/9 - 8*a**2 - 2*a + 128. Determine o, given that i(o) = 0.
-190, 0, 2
Factor -160/7*r - 44/7*r**2 + 4/7*r**3 - 16.
4*(r - 14)*(r + 1)*(r + 2)/7
Factor -21397 + 50*f + 21427 + 40*f**2 + 11*f + 4*f + 5*f**3.
5*(f + 1)**2*(f + 6)
Solve -2/3*c**2 + 9940/3*c - 12350450/3 = 0 for c.
2485
Suppose -23*z + 8*z + z = 0. Let j(i) be the first derivative of z*i - 18 + 0*i**2 + 1/4*i**3 + 3/16*i**4 - 3/10*i**5. Factor j(u).
-3*u**2*(u - 1)*(2*u + 1)/4
Let g be (1 + -2)*(-12)/30. Factor 2/5*y - g*y**3 + 2*y**2 - 2.
-2*(y - 5)*(y - 1)*(y + 1)/5
Let l be (72 + -71)*(-13 + (-424)/(-32)). Factor l*x**2 + 0 - 33/2*x.
x*(x - 66)/4
Let k(n) = 3*n**4 - n**3 - 3*n**2 + n + 2. Let m(z) = -16*z**4 - 152*z**3 - 6219*z**2 - 5153*z + 36494. Let s(v) = 5*k(v) + m(v). Factor s(i).
-(i - 2)*(i + 3)*(i + 78)**2
Factor 0 + 367*m**2 + 0 - 491*m - 1034*m**2 + m**3 + 177*m**2.
m*(m - 491)*(m + 1)
Suppose -21 = -332*q + 325*q. Determine w so that 120 + w**3 + 0*w**q - 3*w**2 - 145*w + 23*w**2 + 4*w**3 = 0.
-8, 1, 3
Let t = -1623 - -1885. Let k = t + -260. Factor 2/3*c - 2/3*c**3 + k*c**2 - 2.
-2*(c - 3)*(c - 1)*(c + 1)/3
Let s(u) be the first derivative of u**3 + 11115*u**2 + 41181075*u + 6863. Factor s(i).
3*(i + 3705)**2
Let w(q) be the third derivative of q**6/600 - 59*q**5/300 - 31*q**4/20 + 1347*q**2. Factor w(k).
k*(k - 62)*(k + 3)/5
Let d(a) be the second derivative of 7/6*a**4 + 0 + 104*a - 1/10*a**5 + 17/3*a**3 + 9*a**2. Factor d(j).
-2*(j - 9)*(j + 1)**2
Let i(l) be the third derivative of l**6/180 + 169*l**5/270 - 8*l**4/3 + 116*l**3/27 - 10996*l**2. Determine u so that i(u) = 0.
-58, 2/3, 1
Let q(z) = z**5 - 2*z**4 + z**3 + z - 2. Let g(r) = -9*r**5 + 6*r**4 + 21*r**3 + 66*r**2 - 18*r - 60. Let i(n) = -g(n) - 6*q(n). Factor i(m).
3*(m - 3)*(m - 1)*(m + 2)**3
Let j(f) be the third derivative of 0*f**3 - 15/32*f**4 + 0 + 1/80*f**5 + 0*f + 261*f**2. Let j(k) = 0. Calculate k.
0, 15
Suppose 0 = 375*z - 357*z - 18. Let y be (z - 53/9)/((-11)/44). Determine r, given that y*r 