.
-4*q*(q - 1)**2/5
Let a(w) be the first derivative of w**6/4 + 7*w**5/20 - 15*w**4/8 - 35*w**3/12 + 3*w**2 + 7*w - 2210. What is x in a(x) = 0?
-2, -7/6, -1, 1, 2
Let d(c) = -2*c**2 + 66*c - 118. Let w be d(31). Let m(b) be the second derivative of -w*b**2 + 0 - 8/3*b**3 + b - 1/3*b**4. Factor m(n).
-4*(n + 1)*(n + 3)
Let k(v) = -1093*v + 17490. Let u be k(16). What is x in -9/4*x**3 - 9/2*x + 3/4*x**5 - 33/4*x**u + 0 + 9/4*x**4 = 0?
-3, -1, 0, 2
Let i = -19 - 9. Let s = i + 111. Factor 14*v**4 + 4*v**4 - 4 + v**2 - 4 + 14*v**5 - 48*v - s*v**2 - 38*v**3.
2*(v - 2)*(v + 1)**3*(7*v + 2)
Find a such that -8/3*a**2 + 308/3*a - 1/3*a**3 + 0 = 0.
-22, 0, 14
Let s = 139252/5 - 27850. Factor 12/5 + s*n - 2/5*n**2.
-2*(n - 3)*(n + 2)/5
Let y(v) be the second derivative of v**7/252 + 13*v**6/180 - 53*v**5/120 - 107*v**4/24 + 14*v**3 + 180*v**2 - v + 34. Determine i so that y(i) = 0.
-15, -3, 4
Let y(a) be the first derivative of -a**5/30 - 25*a**4/24 - 34*a**3/9 - 11*a**2/3 - 692. Determine m so that y(m) = 0.
-22, -2, -1, 0
Let v(y) be the third derivative of -y**8/5040 - y**7/630 + y**6/60 - y**5/30 - y**4/4 + 7*y**2 + 2*y. Let n(b) be the third derivative of v(b). Factor n(c).
-4*(c - 1)*(c + 3)
Let a = 3491755/9 - 387971. Find t, given that a*t**3 + 32/9 - 10/3*t**2 - 2/9*t**4 - 16/9*t = 0.
-1, 1, 4
Factor 588*o**3 - 4/3*o**4 + 12178624/3*o + 12967168 - 85840*o**2.
-4*(o - 148)**3*(o + 3)/3
Let l(z) be the second derivative of z**5/170 + 41*z**4/102 + 79*z**3/51 + 39*z**2/17 + 90*z - 1. Solve l(u) = 0.
-39, -1
Let i(q) be the second derivative of -q**7/1120 + q**6/96 - 3*q**5/80 - 32*q**3/3 - 19*q. Let a(x) be the second derivative of i(x). Factor a(k).
-3*k*(k - 3)*(k - 2)/4
Let u = 1947 + -2897. Let g = 952 + u. Let 10/11*m - 12/11 + 2/11*m**g = 0. What is m?
-6, 1
Let n(a) be the first derivative of a**5/25 + 9*a**4/5 + 323*a**3/15 - 18*a**2/5 - 324*a/5 + 498. Factor n(u).
(u - 1)*(u + 1)*(u + 18)**2/5
Let i(j) = 38*j**3 - 174*j**2 + 185*j + 31669. Let z(w) = 7*w**3 - 35*w**2 + 38*w + 6334. Let q(b) = 2*i(b) - 11*z(b). Suppose q(n) = 0. What is n?
-11, 24
Find m, given that -3*m**2 - 495*m - 4705527 + 4705527 = 0.
-165, 0
Suppose 180 = -3*h - 120. Let y = 124 - h. Factor 39*t**2 + y*t**3 - 209*t**3 - 15*t**2 + 12*t + 3*t**4.
3*t*(t + 1)*(t + 2)**2
Let w(f) be the second derivative of 0 - f**2 + 8*f + 1/6*f**6 + 7/6*f**3 - 7/20*f**5 - 1/4*f**4. Factor w(i).
(i - 1)**2*(i + 1)*(5*i - 2)
Let a = 572 + -570. Factor 41*w**2 + 22*w - 30*w**3 + 12 - 7*w**2 - 40*w**a - 14*w**4.
-2*(w + 1)**3*(7*w - 6)
Let i(s) be the second derivative of -s**4/4 - 7*s**3 - 36*s**2 + 356*s. Factor i(y).
-3*(y + 2)*(y + 12)
Let o(s) be the second derivative of -3*s**5/10 - 479*s**4/6 + 160*s**3/3 + 4849*s. Let o(t) = 0. What is t?
-160, 0, 1/3
Let f(o) be the second derivative of 1/4*o**4 + 0 + 9/2*o**2 - 21*o - 2*o**3. Let f(s) = 0. Calculate s.
1, 3
Let w(r) be the third derivative of r**6/300 - r**5/10 - 14*r**4/5 - 368*r**3/15 + 231*r**2 - 4*r. Factor w(g).
2*(g - 23)*(g + 4)**2/5
Let g be 8/(-4)*-2*1. Suppose 16 = g*c - 0*c. Factor 26*y**2 - 180*y - 65*y**3 + 5*y**c - 2 + 214*y**2 + 2.
5*y*(y - 6)**2*(y - 1)
Let u = 196 - 189. Let x(b) = -2*b**3 + 3*b**2 - b. Let z(n) = -n**3 + n**2. Let s(c) = u*z(c) - 3*x(c). Suppose s(m) = 0. What is m?
-3, 0, 1
Determine p, given that -66281*p**2 - 13085340*p + 97348603 - 320*p**3 - 45799*p**2 - 202492989 - 65782208 - 338311221 = 0.
-467/4
Let y(t) be the second derivative of 7*t**5/100 - 53*t**4/15 - 157*t**3/30 + 31*t**2/5 + 11*t - 61. Factor y(a).
(a - 31)*(a + 1)*(7*a - 2)/5
Let v = 33740 - 68781/2. Let d = v - -658. Factor -9/2*g - 3/2*g**3 + d*g**2 - 27/2.
-3*(g - 3)**2*(g + 1)/2
Find z, given that -56/5*z**3 + 0 - 10*z**2 + 108/5*z - 2/5*z**4 = 0.
-27, -2, 0, 1
Determine n so that 14 + 128*n**2 + 3*n**3 + 253/3*n = 0.
-42, -1/3
Let -9400/7*f - 1/7*f**4 - 8125/7 - 1338/7*f**2 - 64/7*f**3 = 0. What is f?
-25, -13, -1
Let y(v) be the second derivative of -v**4/66 - 7*v**3/3 + 2*v - 853. Let y(i) = 0. Calculate i.
-77, 0
Let y(n) = n**3 - 6*n**2 - 18*n + 40. Let v(h) = 4*h**3 - 25*h**2 - 72*h + 160. Let z(f) = 6*v(f) - 26*y(f). Factor z(o).
-2*(o - 5)*(o - 2)*(o + 4)
Let c(k) be the first derivative of 3*k**4/4 + 34*k**3 + 867*k**2/2 + 2564. Factor c(m).
3*m*(m + 17)**2
Let r(g) be the second derivative of -1/8*g**4 + 9/4*g**3 + 34 + 2*g - 21/2*g**2. Find j, given that r(j) = 0.
2, 7
Let j(p) = -p**3 - 27*p**2 + 51*p - 70. Let z be j(-29). Let q be (24/(-30))/(z/(-105)). Let -14/19*i**4 - 26/19*i**2 + 0 - q*i + 52/19*i**3 = 0. Calculate i.
-2/7, 0, 1, 3
Factor -2/15*z**2 - 2336/15*z - 682112/15.
-2*(z + 584)**2/15
Let p = 40 + 5. Suppose 0 = 4*r + g - p, -g - 2 = -7. Factor 1 + 0*t**2 - 3 - r*t**3 + t + 11*t**2.
-(t - 1)*(2*t - 1)*(5*t + 2)
Let r(j) be the third derivative of -j**8/112 + j**7/35 + j**6/20 - j**5/5 - j**4/8 + j**3 - 107*j**2. Find f, given that r(f) = 0.
-1, 1, 2
Let t(b) be the second derivative of -1/18*b**4 - 77*b + 0 - 400/3*b**2 + 40/9*b**3. Determine d, given that t(d) = 0.
20
Let d(b) be the second derivative of b**5/160 + b**4/64 - 3*b**3/8 + 53*b**2 + 4*b. Let q(h) be the first derivative of d(h). What is x in q(x) = 0?
-3, 2
Let h(q) be the second derivative of q**6/1800 - q**5/15 + 10*q**4/3 - 20*q**3/3 - q**2/2 + 12*q. Let f(a) be the second derivative of h(a). Factor f(n).
(n - 20)**2/5
Let f be 64760/(-120)*6/2. Let i = 14579/9 + f. Factor -8/9*c**2 + 0 + 2/9*c**4 + 2/9*c**3 - i*c.
2*c*(c - 2)*(c + 1)*(c + 2)/9
Let v(q) be the second derivative of -31*q**7/4200 + 11*q**6/400 - q**5/100 + q**4/3 + q**2/2 + 9*q. Let f(r) be the third derivative of v(r). Factor f(a).
-3*(a - 1)*(31*a - 2)/5
Let t = -11125592/11 - -1011418. Solve t*g**2 + 24*g + 264 = 0 for g.
-22
Let d = 16415/3582 + -148/1791. Factor 0 - 3/8*u**2 - d*u.
-3*u*(u + 12)/8
Let f(y) be the first derivative of 2*y**5/65 + 38*y**4/13 + 3176*y**3/39 + 5472*y**2/13 + 10368*y/13 + 4504. What is x in f(x) = 0?
-36, -2
Let c be 5/(-20) + (-34)/(-8). Let p = 153 + -142. Let p*w**3 - 56*w**3 + 87*w**c + 44*w - 75*w**2 - 27*w**5 - 12 - 3*w + 31*w = 0. Calculate w.
-1, 2/9, 1, 2
Suppose 1412 = 38*h + 24288. Let b = h - -602. Factor 2/7*w**5 - 8/7*w**4 + 0*w + 10/7*w**3 + b - 4/7*w**2.
2*w**2*(w - 2)*(w - 1)**2/7
Let n(j) = -13*j**3 + 32*j**2 + 52*j - 86. Let h(v) = -4*v**3 + 10*v**2 + 16*v - 28. Let k(w) = 7*h(w) - 2*n(w). Suppose k(a) = 0. What is a?
-2, 2, 3
Let w be (10/9)/(8/6) - (-869)/(-5214). Let c(f) be the first derivative of -w*f**4 - 8/3*f + 40 + 2*f**2 + 4/3*f**3. Factor c(x).
-4*(x - 2)*(x + 1)*(2*x - 1)/3
Let j(w) = -w + 5. Let m be j(3). Suppose -7 - 11 = -9*i. Solve -i*a**m + a**3 - 6*a**3 + a**3 - 20 + 36*a - 10*a**2 = 0.
-5, 1
Let s(i) be the third derivative of 0 - 1/45*i**5 - 44/9*i**3 + 23/18*i**4 - 29*i**2 + 0*i. Determine m, given that s(m) = 0.
1, 22
Suppose -170/13*t**2 - 486/13 + 654/13*t + 2/13*t**3 = 0. What is t?
1, 3, 81
Suppose a - g = 12 - 3, -3*a - 3*g + 3 = 0. Suppose a*p - 199 = -199. Solve 2/5 + p*b**2 - 1/5*b**3 + 3/5*b = 0 for b.
-1, 2
Let q be (9 + (-3 - (12 - 29)))/(-3*45/(-108)). Factor 2/5*f**3 - 182/5*f + 88/5*f**2 + q.
2*(f - 1)**2*(f + 46)/5
Let q(i) be the first derivative of i**4/26 + 684*i**3/13 + 350892*i**2/13 + 80003376*i/13 - 1418. Find a, given that q(a) = 0.
-342
Let j be ((-945)/75)/9 - 6/10. Let s be ((-26)/6)/(j/3) - 5. Let -6*g - s + 3/2*g**2 + 6*g**3 = 0. What is g?
-1, -1/4, 1
Let 99126*w + 89049 - 17*w**3 - 69128*w + 172*w**3 - 229657 + 7956*w**2 + 102498*w + w**4 = 0. Calculate w.
-52, 1
Suppose 3*y = 5*c - y - 16, -4*y = 2*c - 12. Factor 0*v**2 - 8*v**2 + 32*v**3 - 53*v**3 + 33*v**3 - c*v.
4*v*(v - 1)*(3*v + 1)
Let o be 7/3*-3 - 13/(858/(-516)). Find f such that -1/11*f**3 + 0 - o*f - 10/11*f**2 = 0.
-9, -1, 0
Let m(u) be the second derivative of u**4/30 + 2*u**3 + 4525*u. Factor m(r).
2*r*(r + 30)/5
Suppose 1635 - 354 + 168 - 214*y + y**2 = 0. What is y?
7, 207
Let h(i) be the second derivative of -i**4/30 - 19*i**3/15 - 88*i**2/5 + 1960*i. Factor h(o).
-2*(o + 8)*(o + 11)/5
Let j = 679167/179360 - -27/9440. Determine y, given that 30/19*y - 2/19*y**3 + 4/19*y**2 - j = 0.
-4, 3
Let h(z) = z - 3. Let p(g) = 8 - 4*g**2 - g**2 - 18*g + 13 + 8. Let s(x) = 3*h(x) + p(x). Solve s(u) = 