3 - 1/6*x**4 + 22 + 28*x - 2*x**2. Let c(q) be the first derivative of j(q). Let c(v) = 0. Calculate v.
1, 2
Suppose 17878 = 67*l - 53*l. Let -168*z - 320*z**2 + 15*z**4 - l*z**5 - 196*z**2 - 258*z**3 + 96 + 1298*z**5 = 0. Calculate z.
-2, -1, 2/7, 4
Let f(b) be the second derivative of 1/2*b**3 - 5/4*b**4 + 0*b**2 + 0 + 15/16*b**5 - 12*b. Determine k so that f(k) = 0.
0, 2/5
Let i(j) be the first derivative of -5*j**3/3 + 330*j**2 + 2720*j - 9582. Suppose i(t) = 0. Calculate t.
-4, 136
Let r(j) = -3*j**3 + 1497*j**2 + 2971*j + 1489. Let l(w) = -55*w**3 + 25450*w**2 + 50505*w + 25315. Let i(s) = 2*l(s) - 35*r(s). Suppose i(g) = 0. What is g?
-297, -1
Let r(o) be the first derivative of o**5/40 + 89*o**4/8 + 7921*o**3/6 + 583. Factor r(v).
v**2*(v + 178)**2/8
Let v(u) = 17*u**2 + 10*u + 12. Let a be v(-3). Let h = a + -404/3. Determine s, given that 4/3 + 2*s**2 - 3*s - h*s**3 = 0.
1, 4
Let h(y) = 9*y**2 - 423*y + 1215. Let i(r) = 43*r**2 - 2111*r + 6072. Let o(q) = 14*h(q) - 3*i(q). Factor o(z).
-3*(z - 134)*(z - 3)
Let w(k) be the first derivative of -k**4 - 320*k**3/3 - 158*k**2 - 1984. Factor w(f).
-4*f*(f + 1)*(f + 79)
Factor -18/5*z + 2/5*z**2 - 72/5.
2*(z - 12)*(z + 3)/5
Let w = -86154 - -86156. Factor 2/5*j**w + 0 - 12/5*j.
2*j*(j - 6)/5
Factor 84*u**2 - 88*u**2 + 218*u + 592*u - 110*u.
-4*u*(u - 175)
Find k such that 108*k + 49 + 26 - 24*k + 39 + 46 + 2*k**2 = 0.
-40, -2
Let o(w) be the second derivative of w**5/70 + 2*w**4/7 + 115*w**2/2 - 45*w - 2. Let h(l) be the first derivative of o(l). Solve h(t) = 0.
-8, 0
Let w be ((-8)/30)/((-591)/(-22655)). Let i = w + 152/9. Factor i*g - 4/3*g**3 - 6 + 34/3*g**2.
-2*(g - 9)*(g + 1)*(2*g - 1)/3
Let p(g) be the third derivative of 0*g**4 - 1/660*g**6 + 4 + 0*g**5 + 0*g + 1/1155*g**7 + 4*g**2 + 0*g**3. Suppose p(a) = 0. Calculate a.
0, 1
Suppose -1/2 - 7/4*b**3 - 7*b**4 + 1/4*b + 4*b**2 + 5*b**5 = 0. What is b?
-1/2, 2/5, 1
Let y = 17619 + -17616. What is n in 0 + 0*n + 19/10*n**4 + n**5 - 2/5*n**2 - 2/5*n**y = 0?
-2, -2/5, 0, 1/2
Let c(t) = -4*t. Let h(b) be the second derivative of -b**4/12 + b**3/3 + 23*b**2/2 - 112*b. Let q(s) = -6*c(s) - h(s). Let q(n) = 0. What is n?
-23, 1
Let w(z) = z**2 - 3*z - 160. Let d be w(13). Let o be 13/5 - 4*d/(-200). Factor 3/2*q - 1/2*q**o - 1.
-(q - 2)*(q - 1)/2
Let i = 237540867/117020 + -14/87765. Let t = 2030 - i. Factor -t*k**2 - 1/12*k + 1/6.
-(k - 1)*(k + 2)/12
Let t(a) be the third derivative of 0 + 0*a - 2/105*a**7 + 250000/3*a**4 - 1000*a**5 - 9*a**2 - 12500000/3*a**3 + 20/3*a**6. Factor t(f).
-4*(f - 50)**4
Let w(m) be the second derivative of m**7/63 - 37*m**6/45 - 13*m**5/10 + 37*m**4/18 + 38*m**3/9 - 2*m - 53. Suppose w(g) = 0. What is g?
-1, 0, 1, 38
Suppose u = -3*i + 108, 0*i + 5*i = u + 188. Suppose i + 19 = 28*d. Factor 3/4*x**d + 6*x**3 - 3/2*x + 15/4*x**4 + 0.
3*x*(x + 1)**2*(5*x - 2)/4
Let g(d) be the second derivative of -1/6*d**6 - 55*d - 1 - 5/3*d**4 + 0*d**3 - 5/4*d**5 + 0*d**2. Suppose g(w) = 0. Calculate w.
-4, -1, 0
Let h(i) = -i**3 - 24*i**2. Let a(g) = -5*g**3 - 64*g**2 + 35*g - 66. Let n(m) = -a(m) + 4*h(m). What is z in n(z) = 0?
-2, 1, 33
Let m(x) = 39*x**3 + 34*x - 38*x**3 + x**2 + 48 - 76. Let j(g) = 6*g**3 + 6*g**2 + 171*g - 141. Let v(f) = -4*j(f) + 21*m(f). What is b in v(b) = 0?
-4, 1, 2
Solve 22/9*b**2 + 2/9*b**3 + 0 - 40/3*b = 0 for b.
-15, 0, 4
Let c(d) be the first derivative of -d**4/5 - 8*d**3/5 + 14*d**2/5 + 48*d - 5404. Determine v so that c(v) = 0.
-5, -4, 3
What is d in 6*d**4 - 134/5*d**2 + 18/5*d**3 + 2/5*d**5 + 84/5*d + 0 = 0?
-14, -3, 0, 1
Let h(j) = -17*j - 147. Let y be h(-10). Solve -y + 71*l**2 - 68*l**2 - 24*l + 71 = 0 for l.
4
Suppose -9*w - 27 + 270 = 0. Let u be (-27 + w)*(-2 - -2 - 1). Solve 2/9*j + 2/9*j**5 + u*j**4 - 4/9*j**3 + 0*j**2 + 0 = 0 for j.
-1, 0, 1
Factor 640/9 - 2/9*j**2 - 638/9*j.
-2*(j - 1)*(j + 320)/9
Let s(t) = 81*t**4 + 1407*t**3 - 4785*t**2 + 159*t + 6369. Let q(b) = -5*b**4 - 88*b**3 + 299*b**2 - 10*b - 398. Let z(a) = 33*q(a) + 2*s(a). Factor z(y).
-3*(y - 2)**2*(y + 1)*(y + 33)
Let l(d) be the first derivative of 5*d**4/14 + 2356*d**3/21 + 69148*d**2/7 - 55696*d/7 + 874. Factor l(c).
2*(c + 118)**2*(5*c - 2)/7
Let z(o) be the third derivative of 142*o**5/15 + 281*o**4/6 - 4*o**3 - 1476*o**2. Factor z(d).
4*(d + 2)*(142*d - 3)
Let j(l) = -28*l - 82. Let b be j(13). Let t = b - -448. Factor 2*r**3 + 4/9*r**4 + 8/9*r + 8/3*r**t + 0.
2*r*(r + 2)**2*(2*r + 1)/9
Let i(j) = -23*j**2 + 398*j - 715. Let z(p) = -8*p**2 + 126*p - 238. Let n(f) = 6*i(f) - 17*z(f). Determine b so that n(b) = 0.
1, 122
Let z = -496 - -891. Factor z*l**4 + 4*l - 801*l**4 + 398*l**4 - 2*l**5 + 8*l**2 - 2*l**5.
-4*l*(l - 1)*(l + 1)**3
Let q be (32 - 24810/840)/((-30)/(-35)). Find i, given that -11/4*i + 1/8*i**2 - q = 0.
-1, 23
Suppose 85*c - 126 = 71*c. Factor -c*l**4 + 20*l**2 - 10*l**3 + 40*l + 0*l**4 - 2*l**4 + 6*l**4.
-5*l*(l - 2)*(l + 2)**2
Let r be 30/(-12) + 5 - 9/(-6). Let g(z) be the first derivative of 6*z**2 + 8/3*z**3 + 0*z - 3 - z**r. Find w, given that g(w) = 0.
-1, 0, 3
Let w(g) be the third derivative of -1/315*g**7 - 6 + 0*g**3 + 0*g - 7/90*g**5 + 1/36*g**6 + 14*g**2 + 1/12*g**4. Factor w(u).
-2*u*(u - 3)*(u - 1)**2/3
Determine i so that -4 - 34/21*i - 2/21*i**2 = 0.
-14, -3
Suppose -3*j - 26 + 41 = -3*u, -5*j - 3*u + 17 = 0. Factor -65*f**2 + 216 + j*f**2 + 61*f**2 + 108*f - 4*f**3.
-4*(f - 6)*(f + 3)**2
Suppose -48*p + 724 = 532. Let 0*z - 2/3*z**p + 0*z**2 - 4/9*z**3 + 0 - 2/9*z**5 = 0. Calculate z.
-2, -1, 0
Suppose 0 = -10*b - 7 + 37. Find z such that 208*z + 6*z**b - 2*z**4 - 208*z + 20*z**2 = 0.
-2, 0, 5
Find b, given that 7 + 1/4*b**2 - 11/4*b = 0.
4, 7
Let m(c) be the second derivative of c**7/168 - 7*c**6/60 + 23*c**5/80 + 7*c**4/24 - c**3 + c + 1420. Solve m(n) = 0.
-1, 0, 1, 2, 12
Let n = -102 - -106. Suppose 5*x = -7*x + n*x. Let -5/3*v**5 + 0 + 2/3*v**2 + x*v + 4*v**4 - 3*v**3 = 0. What is v?
0, 2/5, 1
Suppose -41*f + 33*f = -600. Solve 243*s + 201*s**3 - 513*s**2 - f*s**4 + 59*s**3 + 85*s**3 = 0.
0, 1, 9/5
Determine t, given that 2/11*t**2 + 54/11*t**3 - 48/11*t + 0 - 6/11*t**5 - 2/11*t**4 = 0.
-3, -1, 0, 1, 8/3
Factor -2304/5*u**3 + 1806336/5*u + 6/5*u**4 + 3687936/5 + 211776/5*u**2.
6*(u - 196)**2*(u + 4)**2/5
Suppose -3*m = -2*j + 22, -m + 0*j = 5*j - 4. Let o be (m + 11)*2/8. Factor 0*p**4 - o*p**5 + 0*p**2 + 5/2*p**3 - 5/4*p + 0.
-5*p*(p - 1)**2*(p + 1)**2/4
Let l(a) be the third derivative of -1/1890*a**7 + 31/24*a**4 - 3*a**3 + 7/360*a**6 + 0*a + 58*a**2 + 0 - 137/540*a**5. Let l(m) = 0. What is m?
1, 2, 9
Let q be (2 - -4) + (-28)/7. Suppose q*o**3 - 44*o - 10 + 19*o - o**3 + 13*o - 6 = 0. What is o?
-2, 4
Let a be 110/(-99)*((-108225)/(-104))/(-37). Let 225/2*f + 23/2*f**3 + a + 3/4*f**4 + 60*f**2 = 0. What is f?
-5, -1/3
Factor -792*f - 2/11*f**5 - 458/11*f**3 - 456*f**2 + 76/11*f**4 + 0.
-2*f*(f - 22)**2*(f + 3)**2/11
Let t = 7868 + -354058/45. Let n(h) be the first derivative of 25 + 0*h + 1/54*h**6 - 1/18*h**2 + t*h**5 + 0*h**4 - 2/27*h**3. Solve n(c) = 0 for c.
-1, 0, 1
Let s(o) = -6*o**2 + o + 3. Suppose 0 = -j + 5*j. Let v be s(j). Determine p, given that -2*p**2 + p**2 + v*p**2 - 8*p = 0.
0, 4
Let b = -370 - -376. Suppose b = -2*v + 5*v. Factor 2/3 + v*p**2 + 8/3*p.
2*(p + 1)*(3*p + 1)/3
Let z = 1079725 - 7558072/7. Factor -15/7*w**2 + 12/7*w + z*w**3 + 0.
3*w*(w - 4)*(w - 1)/7
Suppose -2116*c + 2119*c + 798 = 0. Let a be (c/63 + 0 + 4)*-2. Factor 4/9*h**4 - 4/9*h**2 + a*h + 0 - 4/9*h**3.
4*h*(h - 1)**2*(h + 1)/9
Let y = -967035 + 3868141/4. Determine q, given that -1/4*q**5 + 1/4*q**3 + 0*q + 1/4*q**4 + 0 - y*q**2 = 0.
-1, 0, 1
Let j(m) be the first derivative of 0*m**3 - 3/20*m**5 + 14 + 1/10*m**4 + 0*m**2 - 8*m - 6/25*m**6. Let u(v) be the first derivative of j(v). Factor u(i).
-3*i**2*(3*i + 2)*(4*i - 1)/5
Let o(x) = x**3 - 2*x**2 - 5*x + 13. Let d be o(3). Suppose 0 = 4*p - 3*g - 5, 4*p + 5*g - 6 = d*g. Factor 0 + 2/3*c + 2/3*c**p.
2*c*(c + 1)/3
Let f(w) be the second derivative of -676*w**2 + 8*w**4 - 32*w - 78*w**3 + 0 - 1/5*w**5. Let f(j) = 0. What is j?
-2, 13
Let h(t) = 8*t**3 - 2*t**2 - 10*t - 5. Let r(l) = 180*l - 192*l + 9*l**3 - 3 - 3*l**2 - 3. Let j(i) = -6*h(i) + 5*r(i). Factor j(u).
-3*u**2*(u + 1)
Suppose 0 = -106*y + 111*y - 80. Let i(r