+ 2/7*r**2 + 450/7 = 0.
15
Let c = -9095 - -109175/12. Let u(g) be the second derivative of -9/4*g**5 + 0 - 22*g - 5/42*g**7 - 5/3*g**3 - c*g**4 + 0*g**2 - 5/6*g**6. Factor u(t).
-5*t*(t + 1)**3*(t + 2)
Let f be 45/(-84)*(101550/(-207) - 10/115). Let 28 - f*j**3 + 600/7*j**4 + 2094/7*j**2 - 150*j = 0. What is j?
2/3, 7/10, 1
Let o(t) be the third derivative of t**8/672 - 2*t**7/105 - t**6/12 - t**2 + 67*t + 3. Determine w, given that o(w) = 0.
-2, 0, 10
Factor -472/7*r - 163/7*r**3 + 3/7*r**4 - 818/7*r**2 + 0.
r*(r - 59)*(r + 4)*(3*r + 2)/7
Let r = -11533/8 + 1442. Let q(n) be the first derivative of r*n**2 - 5 - 3/16*n**4 - 3/4*n + 1/4*n**3. Find j such that q(j) = 0.
-1, 1
Let w(m) = -5*m**2 + 456*m + 900. Let r(b) = -15*b**2 + 1376*b + 2700. Let g(z) = 2*r(z) - 7*w(z). Factor g(h).
5*(h - 90)*(h + 2)
Let g be (-165)/363 + 546/330. Solve -g*a**2 - 3/5*a**4 + 0*a + 9/5*a**3 + 0 = 0.
0, 1, 2
Let g(p) be the third derivative of 2*p**2 + 0 + 1/180*p**6 - 1/945*p**7 + 1/270*p**5 + 15*p + 0*p**3 - 1/36*p**4. Let g(b) = 0. Calculate b.
-1, 0, 1, 3
Let u(y) be the first derivative of y**6/140 + 2*y**5/21 + 13*y**4/28 + 6*y**3/7 - 78*y**2 - 10. Let n(c) be the second derivative of u(c). Factor n(a).
2*(a + 3)**2*(3*a + 2)/7
Let d be (735 - 1)*8/((-16)/3). Let j = d + 1103. Factor 1/5 + 1/5*l**3 + 3/5*l + 3/5*l**j.
(l + 1)**3/5
Let b(s) be the second derivative of 5*s**4/12 + 5725*s**3/6 - 2865*s**2 - 4746*s. Let b(v) = 0. What is v?
-1146, 1
Let 33/5*n**3 + 3/5*n**4 - 96/5*n + 0 + 12*n**2 = 0. Calculate n.
-8, -4, 0, 1
Suppose 2/5*q**4 - 76/5*q**3 + 1002/5*q**2 + 1960 - 1064*q = 0. Calculate q.
5, 14
Let z(f) be the first derivative of -5/3*f**3 + 82 + 5*f**2 + 15*f. Solve z(b) = 0.
-1, 3
Let c(k) be the first derivative of -k**3/3 - 839*k**2/2 - 1674*k + 12164. Factor c(u).
-(u + 2)*(u + 837)
Let o(w) be the first derivative of 0*w - 11/2*w**3 - 3/16*w**6 - 9/4*w**2 + 54 - 33/20*w**5 - 157/32*w**4. What is v in o(v) = 0?
-3, -2/3, 0
Factor 4/11*p - 2/11*p**2 + 510/11.
-2*(p - 17)*(p + 15)/11
Suppose -5*m = -5*f - 155, 0*m = -5*f - 5*m - 135. Let u = f + 82. Let 132*x**2 + 497*x**5 + 42*x**4 - 502*x**5 - u*x - 121*x**3 + 17*x = 0. What is x?
0, 2/5, 2, 3
Let v(g) be the first derivative of -2*g**3/21 + 81*g**2/7 - 316*g/7 + 552. Factor v(z).
-2*(z - 79)*(z - 2)/7
Factor 2*g**2 + 0 + 8/5*g + 2/5*g**3.
2*g*(g + 1)*(g + 4)/5
Suppose -11*z - 2*a - 218 = -15*z, 3*z - 4*a = 176. Suppose z*f - 43 - 61 = 0. Factor 0 - 3*y**f + 0*y**4 - 3/2*y**5 + 9/2*y**3 + 0*y.
-3*y**2*(y - 1)**2*(y + 2)/2
Let d(i) be the first derivative of i**4/18 - 4*i**3/3 - i**2/9 + 4*i + 246. Factor d(w).
2*(w - 18)*(w - 1)*(w + 1)/9
Let o(p) = 1. Let i(f) be the third derivative of 0 + 1/60*f**5 - 5/24*f**4 + f**3 - 2*f**2 - 12*f + 1/120*f**6. Let j(q) = -i(q) + 3*o(q). Factor j(s).
-(s - 1)**2*(s + 3)
Let l(k) be the first derivative of 5*k**4/102 - 22*k**3/51 + 8*k**2/17 + 67*k + 25. Let w(y) be the first derivative of l(y). Factor w(s).
2*(s - 4)*(5*s - 2)/17
Let d be ((-6)/27)/(16/(-144)). Suppose -5*p + 17 = o, 5*o + p = 2*o + 9. Suppose 26*u + 3*u**d - 7*u - 13*u - 13*u**o + 2*u**3 + 18 = 0. What is u?
-1, 3
Solve -2*r**2 - 41/4*r + 105/4 = 0 for r.
-7, 15/8
Let v(n) be the third derivative of -n**6/320 - 91*n**5/40 + 731*n**4/64 - 183*n**3/8 + 5*n**2 + 15*n - 1. Factor v(u).
-3*(u - 1)**2*(u + 366)/8
Suppose 5*t + 3*k - 42 = 9*t, -4*t - 4*k = 56. Let d be (t*4/(-32))/(36/16). Factor -10/3*y**2 - 16/3*y - 8/3 - d*y**3.
-2*(y + 1)*(y + 2)**2/3
Let r(u) be the first derivative of u**4/24 + 185*u**3/6 + 369*u**2/4 + 553*u/6 - 3312. Determine a so that r(a) = 0.
-553, -1
Let g(z) be the first derivative of -78 - 16/7*z**3 + 0*z**2 + 4/35*z**5 + 4/7*z**4 + 0*z. Factor g(j).
4*j**2*(j - 2)*(j + 6)/7
Let c be (-1)/2 - ((-442)/85)/((-140)/(-25)). Suppose -c*d**3 + 51/7*d**2 - 27*d - 243/7 = 0. Calculate d.
-1, 9
Let k be (32/40)/(((-3)/210)/(-1)). Determine z, given that -25*z**4 - 8*z**3 - 6*z + 20*z**2 + 70*z**5 + 5*z**4 - k*z**5 = 0.
-1, 0, 3/7, 1
Let f(x) be the third derivative of 9*x**6/8 + 11*x**5/5 - 91*x**4/8 + x**3 + 919*x**2 - 2. Find l, given that f(l) = 0.
-2, 1/45, 1
Let i(q) be the first derivative of q**7/420 + q**6/120 + q**5/120 - 51*q**2/2 + 85. Let l(r) be the second derivative of i(r). Find m such that l(m) = 0.
-1, 0
Let d = -67671 + 67674. Factor 2/3*o + 4 + 2/3*o**d - 8/3*o**2.
2*(o - 3)*(o - 2)*(o + 1)/3
Let r be (-5)/(-360)*15 + ((-51)/(-24) - 2). Let o(g) be the first derivative of -5/2*g**2 + 13 - 4*g - r*g**3. Let o(v) = 0. What is v?
-4, -1
Let p(a) be the second derivative of -a**6/6 + 27*a**5/4 + 585*a**4/2 + 3870*a**3 + 24300*a**2 + 3159*a. Find h such that p(h) = 0.
-6, 45
Let y be ((-116)/(-87))/(2 - 11/6). Suppose 3*j - 6*j**3 - y*j**2 + 9 + 0*j + 0*j**2 + 6*j - j**4 - 3*j = 0. What is j?
-3, -1, 1
Let r(q) be the third derivative of -q**5/390 - 5*q**4/156 + 14*q**3/39 - 4*q**2 - 624. Solve r(v) = 0 for v.
-7, 2
Find i, given that -15*i**2 - 2628 + 45*i**2 + 3503 - i**4 - 8*i**3 + 400*i = 0.
-5, 7
Let a(k) = 982*k + 3. Let x be a(23). Suppose -6*h + 9811 = -x. Factor -12 + 405*s**5 - 3396*s**2 + h*s**3 - 2700*s**4 - 308 + 1629*s - 1404*s**2 + 371*s.
5*(s - 4)*(3*s - 2)**4
Suppose 0 = -43*z - 210 - 435. Let c be z*(-2)/6 - 5. What is i in -3/4*i - i**4 + 1/2*i**3 + i**2 + c + 1/4*i**5 = 0?
-1, 0, 1, 3
Let m = 221066 - 442121/2. Factor -23/4 + m*x + 1/4*x**2.
(x - 1)*(x + 23)/4
Let c(s) be the second derivative of -4/5*s**2 - 66*s + 0 - 4/15*s**3 + 1/10*s**4. Find z, given that c(z) = 0.
-2/3, 2
Let s(x) be the second derivative of x**6/30 - 3*x**5/5 + 5*x**4/3 - 1092*x. Suppose s(d) = 0. What is d?
0, 2, 10
Let h(i) be the third derivative of -i**5/150 + 43*i**4/60 + 188*i**3/15 + 2119*i**2. Solve h(v) = 0 for v.
-4, 47
Let c(x) be the third derivative of -x**7/210 - 19*x**6/120 + 22*x**5/15 - 23*x**4/6 + 105*x**2. Factor c(v).
-v*(v - 2)**2*(v + 23)
Factor -80/3*d**2 - 400/3*d - 640/3 - 5/3*d**3.
-5*(d + 4)**2*(d + 8)/3
Let c(w) = -w**3 - w**2 + 10*w - 5. Let y be c(-4). Solve 64*g**3 + 44*g**4 - y*g**5 + 7*g**5 - 76*g**4 = 0 for g.
0, 4
Suppose 0 = -188*q + 192*q + 1288. Let s = q - -324. Suppose 0*v + 2/3 - 1/6*v**s = 0. Calculate v.
-2, 2
Let o be (2 + (-2 + 0 - -6))/3. Let q(w) be the first derivative of 0*w - 19 + o*w**2 + 2/3*w**3. Factor q(c).
2*c*(c + 2)
Find n, given that -32/3*n**3 + 0*n**4 + 42*n - 4*n**2 + 36 + 2/3*n**5 = 0.
-3, -2, -1, 3
Let f(p) be the third derivative of -p**5/10 - p**4/3 - 3*p**3/2 - 2314*p**2. Let w(x) = -x + x - x**2. Let q(v) = -4*f(v) + 28*w(v). Factor q(h).
-4*(h - 9)*(h + 1)
Let c(v) be the second derivative of -1/84*v**4 + 0 + 3/2*v**2 + v + 1/210*v**5 - 2/21*v**3. Let u(z) be the first derivative of c(z). Factor u(d).
2*(d - 2)*(d + 1)/7
Let o = -604 - -611. Suppose 8*g = o*g - 3*g. Let -1/3*k**4 + 0 + g*k + 1/3*k**2 + 1/3*k**5 - 1/3*k**3 = 0. What is k?
-1, 0, 1
Let d be 178/(-60) - (200/250 - (-133)/(-35)). Let y(c) be the second derivative of 11/4*c**4 + 8*c**2 - 51*c + d*c**6 - 1/2*c**5 - 20/3*c**3 + 0. Factor y(l).
(l - 4)**2*(l - 1)**2
Let q(u) be the first derivative of 48*u**4 + 0*u**2 + 256/3*u**3 + 0*u + 1/3*u**6 + 36/5*u**5 - 44. What is y in q(y) = 0?
-8, -2, 0
Let q(b) = 5*b**3 - 39*b**2 + 109*b - 75. Suppose g - 98 = -163. Let p(r) = 55*r**3 - 430*r**2 + 1200*r - 825. Let s(i) = g*q(i) + 6*p(i). Factor s(h).
5*(h - 5)*(h - 3)*(h - 1)
Let b(w) be the second derivative of -w**6/135 + 4*w**5/9 - 38*w**4/27 - w + 294. Factor b(k).
-2*k**2*(k - 38)*(k - 2)/9
Let h(g) be the third derivative of -1/44*g**4 + 0*g**3 + 1/165*g**5 + 3*g**2 + 0 + 7*g + 1/660*g**6. Suppose h(u) = 0. Calculate u.
-3, 0, 1
Let x(k) be the first derivative of 2*k**3/3 - 664*k**2 + 220448*k - 1643. Let x(r) = 0. Calculate r.
332
Let v(p) be the first derivative of 3*p**5/20 - p**4/2 + p**3/2 - 40*p - 49. Let u(b) be the first derivative of v(b). Find c, given that u(c) = 0.
0, 1
Let m(x) = -x**2 + 17*x - 51. Let v be m(12). Factor -t**2 + 6 + 31*t**2 + 3 + 120*t + v*t**2.
3*(t + 3)*(13*t + 1)
Let o(x) be the second derivative of x**6/3 + 819*x**5/8 + 7115*x**4/24 + 675*x**3/4 - 1015*x**2/4 - 24*x. Find f, given that o(f) = 0.
-203, -1, 1/4
Let x(u) = 184*u**2 - 212*u + 52. Let y(f) = -f**2 + f - 1. Let o = 1 - 2. Let n be (