ative of h(u). Suppose k(j) = 0. Calculate j.
-9, -1
Let z = -1306910/3 - -435653. Find g such that -8/3*g**2 + 1/6*g**3 + 77/6*g - z = 0.
2, 7
Suppose 2*z = -4 + 20. Let 42*q**2 - 2*q + 6*q + 0*q - 38*q**2 - z = 0. What is q?
-2, 1
Let n(p) be the first derivative of -2/7*p**5 + 0*p**2 + 1/21*p**6 + 4/7*p**4 + 0*p - 8/21*p**3 - 68. Suppose n(z) = 0. Calculate z.
0, 1, 2
Let b(g) be the third derivative of -g**5/30 - 109*g**4/4 - 326*g**3/3 + 2948*g**2. Factor b(z).
-2*(z + 1)*(z + 326)
Factor 7269/4*v + 3639/4*v**2 + 3/4*v**3 + 3633/4.
3*(v + 1)**2*(v + 1211)/4
Suppose 9*a = -279 - 504. Let d be 2/6*(-783)/a. Let 33/4*m - 21/4*m**2 + 3/4*m**d - 15/4 = 0. What is m?
1, 5
Let i(q) be the second derivative of -1/2*q**2 - 1/8*q**3 + 0 - 152*q - 1/96*q**4. Solve i(z) = 0.
-4, -2
Factor 3/5*h**2 + 1476*h + 907740.
3*(h + 1230)**2/5
Let s be (808/(-32))/((-21)/(-372)). Let c = -447 - s. What is l in -c*l**2 + 2/7 + 1/7*l - 1/7*l**3 = 0?
-2, -1, 1
Let i(r) be the second derivative of 3/80*r**5 + 0*r**2 - 1/16*r**4 + 1/40*r**6 - r - 1/56*r**7 - 16 + 0*r**3. Factor i(a).
-3*a**2*(a - 1)**2*(a + 1)/4
Let b(f) = f**2 + 48*f - 105. Let r be b(-48). Let q be (-3 - r/10)*(-6)/(-20). Factor 3/4 + q*m + 9/4*m**2 + 3/4*m**3.
3*(m + 1)**3/4
Let j(u) = -2*u**2 - 57*u - 118. Let n(l) = l**2 + 26*l + 60. Let y be (90/12)/(21/(-28)). Let k(w) = y*n(w) - 4*j(w). Factor k(i).
-2*(i + 8)**2
Let h be (-1 + (-56)/(-54))/(65/78)*20. What is f in -4/9*f**4 + 2/9*f**5 + 0 - 2/3*f**3 + h*f**2 + 8/9*f = 0?
-1, 0, 2
Let j(q) be the first derivative of q**4/18 - 248*q**3/27 - 125*q**2/9 - 377. Factor j(a).
2*a*(a - 125)*(a + 1)/9
Suppose -319 - 45 = -5*y + 2*r, 0 = -3*y + 4*r + 224. Factor -37*a - 27*a + 180*a**2 - 1046 + 64*a**3 + 4*a**4 + y*a**2 + 790.
4*(a - 1)*(a + 1)*(a + 8)**2
Let s(i) be the first derivative of -2/45*i**3 + 4*i**2 - 143 - 120*i. Find l such that s(l) = 0.
30
Suppose -i**4 + 24*i**4 + 1258*i**2 + 48*i - 2*i**3 - 1365*i**2 + 36 - 5*i**5 + 7*i**3 = 0. Calculate i.
-2, -2/5, 1, 3
Let v = 180516 - 180516. Determine u so that v - 28*u + 8*u**2 - 4/7*u**3 = 0.
0, 7
Suppose 32*s = 107*s + 918 - 1068. Let l(p) be the third derivative of 35*p**s - 1/36*p**4 - 1/540*p**6 + 0*p + 0 + 0*p**3 - 2/135*p**5. Factor l(u).
-2*u*(u + 1)*(u + 3)/9
Suppose -3*v + 39*d + 72 = 34*d, -5*v + 120 = 5*d. Let 6*n + 3652*n**2 + 2*n + v - 3654*n**2 = 0. What is n?
-2, 6
Find c, given that -2740*c**2 - 113*c**4 - 2000*c - 320 + 25*c**5 + 1925*c**3 - 397*c**4 + 3620*c = 0.
2/5, 1, 2, 16
Suppose -36*f**2 - 160 + 2*f**3 - 12*f**2 - 32*f + 200*f = 0. Calculate f.
2, 20
Let v(i) = 3*i**3 + 3*i**2 + 1. Let n(c) = 18*c**3 + 231*c**2 + 828*c + 821. Let o(y) = n(y) - 5*v(y). Find q, given that o(q) = 0.
-68, -2
Let a = 22/7765 - -23119/62120. Factor a*w**2 - 33/8*w + 0.
3*w*(w - 11)/8
Let m(c) = -3*c**3 - 4*c**2 + 2*c - 6. Let f be m(2). Let z be (-32)/192 + (-55)/f. Factor 330/7*a**2 + 242/7*a**3 + z + 96/7*a.
2*(a + 1)*(11*a + 2)**2/7
Let x(q) be the second derivative of q**4/30 - 842*q**3/5 + 1595169*q**2/5 + 1387*q. Determine a, given that x(a) = 0.
1263
Let w = 3515/45864 - -1/3528. Let o(v) be the third derivative of 0*v + 1/390*v**5 - 30*v**2 - 5/156*v**4 + w*v**3 + 1/780*v**6 + 0. Factor o(l).
2*(l - 1)**2*(l + 3)/13
Let f(o) = -35*o**2 + 140*o - 225. Let l(n) = 9*n**2 - 35*n + 56. Suppose 0 = -19*w + 15*w - 16. Let x(i) = w*f(i) - 15*l(i). Find t, given that x(t) = 0.
3, 4
Let v(t) = 9*t**5 + 2*t**4 - 7*t**3 - 8*t**2 - 4*t. Let u(k) = 11*k**5 + 3*k**4 - 8*k**3 - 12*k**2 - 4*k. Let l(o) = 4*u(o) - 5*v(o). Solve l(y) = 0.
-2, 0, 1, 2
Suppose 41*q**2 + 3*q**4 + 3*q**2 + 17*q + q**2 + 22 - 47*q + 30*q**3 - 70 = 0. Calculate q.
-8, -2, -1, 1
Solve -121/7*p**2 - 3916/7*p - 31684/7 = 0 for p.
-178/11
Suppose y = 4, y - 212 = -2*i - 0*y. Let s = i + -310/3. Suppose -6 + 4*r - s*r**2 = 0. Calculate r.
3
Let a(m) be the third derivative of m**7/420 + m**6/120 - m**5/60 - 16*m**3/3 - 16*m**2. Let s(h) be the first derivative of a(h). Let s(o) = 0. Calculate o.
-2, 0, 1/2
Let -29*t**2 - 29*t**2 + 11265 + 623944 + 80*t**2 - 21*t**2 - 1594*t = 0. What is t?
797
Suppose g + 4 = 6. Suppose -g*a - 10 = -4*m, 0 = -4*m + 2*m + 10. Factor 12*v + 8*v - a*v + 8*v**2 + 10 - 3*v**2.
5*(v + 1)*(v + 2)
Let c(a) be the third derivative of a**6/220 - 309*a**5/11 + 795675*a**4/11 - 1092727000*a**3/11 - 437*a**2. Factor c(k).
6*(k - 1030)**3/11
Determine g, given that -25*g**3 + 4*g**5 + 1759*g**4 - 1798*g**4 + 50*g**2 + 10*g**3 = 0.
-5/4, 0, 1, 10
Let n(r) be the third derivative of r**8/1120 + 5*r**7/224 + r**6/40 - 25*r**3 - 76*r**2. Let h(a) be the first derivative of n(a). Factor h(d).
3*d**2*(d + 12)*(2*d + 1)/4
Let b be ((-114)/684)/(((-20)/171)/10). Determine p so that 0 + 21/2*p**2 + 3*p**4 - 9/4*p - b*p**3 + 3*p**5 = 0.
-3, 0, 1/2, 1
Let g(c) = 4*c**3 - 11*c**2 + 4*c. Let y be 1/8*40/5 + -4. Let r(s) = 12*s**3 - 34*s**2 + 12*s. Let i(t) = y*r(t) + 10*g(t). Determine a, given that i(a) = 0.
0, 1
Let a = -4475 + 22381/5. Let v(x) be the first derivative of 3 + 0*x + 0*x**2 + 5/2*x**4 + a*x**5 + 4/3*x**3. Suppose v(w) = 0. Calculate w.
-1, -2/3, 0
Let s(q) be the first derivative of -4*q**4/39 - 11*q**3/13 - 4*q**2/13 - 258*q - 279. Let m(t) be the first derivative of s(t). Factor m(l).
-2*(l + 4)*(8*l + 1)/13
Let d(s) = s**2 + s. Let i(v) = -12*v + 8. Suppose 551 = -5*h + 561. Let p(m) = h*i(m) + 4*d(m). Let p(l) = 0. What is l?
1, 4
Let n = 52082/118035 - -42/13115. Suppose 0 - 10/9*s**4 + 0*s + n*s**3 + 2/3*s**2 = 0. What is s?
-3/5, 0, 1
Suppose z + 5*k = 58, 5*z = -2*k + 75 + 215. Factor -85 - 93 + z + 28*r + 4*r**2.
4*(r - 3)*(r + 10)
Factor 1/2*v**4 + 48*v**2 - 200 + 10*v**3 - 40*v.
(v - 2)*(v + 2)*(v + 10)**2/2
Suppose 3*z - 2*g - 10 = 9, 4*z - 62 = 10*g. Let d be z - (1/1)/1. Factor -4/5*j**d + 16/5 + 12/5*j.
-4*(j - 4)*(j + 1)/5
Let q be (4/10)/(5/25). Suppose 10*u + 8*u - 504 = 0. Determine v, given that 44*v + 4*v**3 - 9 + 7 - 18 - u*v**q = 0.
1, 5
Solve -288/5 - 468/5*a + 11*a**3 - 1/5*a**5 - 148/5*a**2 + 22/5*a**4 = 0.
-2, -1, 3, 24
Let a = -37246 + 111740/3. Factor -4*k + 2/3*k**2 + 0 + a*k**3.
2*k*(k - 2)*(k + 3)/3
Let g = 1651 + -1089. Let k = -560 + g. Factor 1/3*s**k - 4*s + 12.
(s - 6)**2/3
Suppose -2*x = -5*b - 273, 4*x + 3*b - 1 = 506. Let r = 131 - x. Factor 17 + 13*p + 31 + 3*p**r + 11*p.
3*(p + 4)**2
What is q in 2/5*q**5 - 6/5*q**2 + 0*q + 6/5*q**4 + 0 - 2/5*q**3 = 0?
-3, -1, 0, 1
Let r(t) be the third derivative of t**8/13440 + t**7/5040 - t**6/720 - 15*t**4/8 - 7*t**2. Let k(p) be the second derivative of r(p). Solve k(g) = 0.
-2, 0, 1
Suppose 7*c + 427 = 14*c. Suppose -3*b + 66 = -3*l, 0*l + 3*l + 40 = 2*b. Factor -32*j + j**3 - 3*j**2 + c*j + 7*j**2 - b*j.
j*(j + 1)*(j + 3)
Let l(j) be the third derivative of j**7/70 + 11*j**6/40 + 3*j**5/4 - 27*j**4/8 + j**2 + 179*j - 2. Factor l(g).
3*g*(g - 1)*(g + 3)*(g + 9)
Solve -108/7 + 26/7*q**2 + 2/7*q = 0.
-27/13, 2
Let i(l) be the first derivative of 3*l**5/5 - 33*l**4/4 - 210*l**3 - 3307. Factor i(a).
3*a**2*(a - 21)*(a + 10)
Suppose -4*f + 0*m + 9 = -3*m, 15 = -f - 5*m. Suppose -2*p - 6 + 10 = f. What is y in -16 + 4*y - 1/4*y**p = 0?
8
Let h(r) be the second derivative of -r**4/60 - 53*r**3/10 + 16*r**2 - 1115*r. Suppose h(x) = 0. Calculate x.
-160, 1
Let h(c) be the second derivative of -c**6/720 - 7*c**5/60 - c**3/6 - 5*c**2 + 102*c. Let z(k) be the second derivative of h(k). Suppose z(f) = 0. Calculate f.
-28, 0
Suppose -9*c + 24 = 15. Let 434*q - q**2 + 8 - 440*q + c - 2*q**2 = 0. Calculate q.
-3, 1
Let z be 4/(-8 + 4) + (-740)/(-555). Find x such that -1/2*x - z - 1/6*x**2 = 0.
-2, -1
Suppose 3*j + j = 5*b + 587, -6 = 3*j. Let k = -115 - b. Let -16*w + 9*w**3 - 24*w**4 + 3*w**2 + 21*w**k - 12*w**2 + 19*w = 0. Calculate w.
0, 1
Suppose 1274/9*b**4 + 140/3*b**3 + 52/3*b - 10/9 - 688/9*b**2 = 0. Calculate b.
-1, 1/7, 5/13
Let b(a) be the second derivative of 2/3*a**3 + 0 - 246*a - 8/27*a**4 - 1/135*a**6 + 17/9*a**2 - 1/5*a**5. Let b(i) = 0. Calculate i.
-17, -1, 1
Let o(f) be the second derivative of -f**6/90 + 4*f**5/15 + f**4/36 - 8*f**3/9 + 2796*f - 2. Factor o(d).
-d*(d - 16)*(d - 1)*(d + 1)/3
Let w = -192 + 194. Factor 210*t - 2205 + t**2 + t**2 - 7*t**w + 0*t**2.
-5*(t - 21)**2
Let u = -3999 + 4008. Let i = 5 - 3. Wh