**3/27 - 328*g**2/9 - 4621*g. Factor b(q).
4*(q - 1)*(q + 4)*(q + 41)/9
Let k(r) = 8*r**2 - 529*r + 21. Let b(t) = -38*t**2 + 2644*t - 98. Let h(l) = 3*b(l) + 14*k(l). Factor h(u).
-2*u*(u - 263)
Let d(f) be the first derivative of 2/5*f**5 - 40 - 3*f**2 + 3/2*f**4 - 2/3*f**3 + 0*f. Find v such that d(v) = 0.
-3, -1, 0, 1
Let s = -5318 + 5323. Let z(x) be the first derivative of -4/5*x**s - 288*x**3 + 1728*x**2 + 4 + 24*x**4 - 5184*x. Factor z(l).
-4*(l - 6)**4
Let h(x) be the first derivative of -x**6/57 + 6*x**5 - 1091*x**4/2 + 40138*x**3/19 - 39762*x**2/19 + 1023. Find k such that h(k) = 0.
0, 1, 2, 141
Let o be ((-168)/896)/((-24)/32). Factor -5/4*j**4 + 0 + 0*j - 1/4*j**3 + 5/4*j**2 + o*j**5.
j**2*(j - 5)*(j - 1)*(j + 1)/4
Let h(n) = 3*n**5 + 8*n**4 - 8*n**3 - 8*n**2 + 9*n + 2. Let z(j) = -7*j**5 - 16*j**4 + 15*j**3 + 16*j**2 - 18*j - 5. Let b(d) = -5*h(d) - 2*z(d). Factor b(w).
-w*(w - 1)**2*(w + 1)*(w + 9)
Let c(h) be the first derivative of -h**3/6 - 63*h**2/4 - 31*h + 757. Solve c(d) = 0.
-62, -1
Suppose -3*d + 3 = 3*k, -7 = 5*k - 9*k - 3*d. Factor 3*i**4 + 5*i**4 - 6*i**3 + i**4 - 16*i**4 + 9*i**2 + 4*i**k.
-3*i**2*(i - 1)*(i + 3)
Let t(j) be the third derivative of j**6/120 + 41*j**5/40 - 21*j**4/4 - 97*j**3/3 - 60*j**2. Let c(w) be the first derivative of t(w). Factor c(i).
3*(i - 1)*(i + 42)
Let s = -12134 + 12138. Let w(i) be the first derivative of -7/9*i**s - i**2 + 4/15*i**5 + 4/9*i + 12 - 1/27*i**6 + 32/27*i**3. Determine d so that w(d) = 0.
1, 2
Let h(c) be the second derivative of 3/2*c**3 + 0*c**2 - 1/5*c**6 - 4*c - 3/5*c**5 + 9 + 1/2*c**4 + 1/14*c**7. Suppose h(y) = 0. What is y?
-1, 0, 1, 3
Let w be (5/2)/(-25 + 30)*(-22)/(-2640). Let r(h) be the third derivative of -36*h**2 - 5/6*h**3 + 0 - 1/60*h**5 + 0*h + 13/48*h**4 - w*h**6. Solve r(c) = 0.
-5, 1, 2
Let n(q) be the third derivative of 2/135*q**5 - q**2 + 7/27*q**4 + 0*q + 32/27*q**3 - 1/540*q**6 + 25. Find i such that n(i) = 0.
-2, 8
Let b(x) be the second derivative of 0*x**3 + 2 - 1/5*x**4 - 3*x + 0*x**2 + 9/50*x**5. Factor b(k).
6*k**2*(3*k - 2)/5
Suppose 126*x - 1913 - 607 = 0. Let r(v) be the first derivative of x*v - 5/4*v**4 + 6 - 5*v**3 + 0*v**2. Determine h, given that r(h) = 0.
-2, 1
Suppose -d - 15 = 2*d, 5*m + 4*d + 10 = 0. Let b be (m*4/32)/(1/16). Factor 1/2*a**2 + 0*a + 0 - 1/2*a**3 - 1/2*a**b + 1/2*a**5.
a**2*(a - 1)**2*(a + 1)/2
Let d(x) be the third derivative of -7*x**7/90 + 133*x**6/360 - 19*x**5/45 + x**4/6 + 918*x**2 + 2*x. Determine w, given that d(w) = 0.
0, 2/7, 3/7, 2
Let b(v) be the second derivative of -v**7/21 + 2*v**6/5 + 7*v**5/10 - 3*v + 260. Factor b(n).
-2*n**3*(n - 7)*(n + 1)
Let o = 152 + -159. Let a(n) = n**3 + 5*n**2 - 13*n + 10. Let l be a(o). Let -7*d + 4 + 0*d**4 - 3*d**2 - d**4 - 6*d - 4*d**l + 17*d = 0. What is d?
-2, -1, 1
Suppose n = -32 + 38. Factor 18*f + 0 + n + 25 - 7 + 3*f**2.
3*(f + 2)*(f + 4)
Let i(u) = -u**2 + 101*u - 70. Let p(y) = 2*y**2 - 292*y + 210. Let q(d) = -8*i(d) - 3*p(d). Factor q(c).
2*(c - 1)*(c + 35)
Let z(c) be the first derivative of c**5/5 + 3*c**4/4 - 94*c**3/3 + 84*c**2 - 2935. Factor z(u).
u*(u - 7)*(u - 2)*(u + 12)
Let z(o) = -12*o - 1299*o**2 - 5 - 2 + 1297*o**2. Let k be z(-5). Factor 19*t**3 + 4*t - 15*t**k + 2*t**2 - 6*t**3.
-2*t*(t - 2)*(t + 1)
Let 84*s**2 - 1/2*s**4 + 936*s + 0 - 11/2*s**3 = 0. What is s?
-12, 0, 13
Let l = -173 + 175. Suppose 5*b**2 - 4*b**2 - 16*b + 0*b**l = 0. Calculate b.
0, 16
Suppose 5*t - k = 616, 0 = t + 2*t + 3*k - 384. Let o = t - 122. Suppose 4*w**3 + 26*w**2 - 4*w**5 - 17*w**2 - 9*w**o = 0. Calculate w.
-1, 0, 1
Factor -188 - 3*j**2 + 137 - 21*j + 421 + 512.
-3*(j - 14)*(j + 21)
Suppose 0 = u - 7*g + 2*g + 1, 20 = u + 2*g. Let d be (-3)/(-12) - u/(-8). Factor 2/9 + 2/9*w**d + 4/9*w.
2*(w + 1)**2/9
Let p(l) = -5*l**3 + 13*l**2 - l - 7. Let v(z) = -14*z**3 + 38*z**2 - 128 - 3*z + 49 + 58 + 0*z**2. Let t(u) = -17*p(u) + 6*v(u). Factor t(d).
(d - 1)*(d + 1)*(d + 7)
Suppose 0 = 7214*k - 6855*k - 1077. Factor 1152 + 288*c + 24*c**2 + 2/3*c**k.
2*(c + 12)**3/3
Let n(f) be the first derivative of 136*f**5/65 + f**4/2 - 2*f**3/39 + 501. Determine w, given that n(w) = 0.
-1/4, 0, 1/17
Find k such that 10/3*k + 2/3*k**2 - 28/3 = 0.
-7, 2
Determine w so that -6*w**3 - 142 - 275 + 93 + 225*w + 8*w**3 - 42*w**2 - w**3 = 0.
3, 36
Let z(p) be the first derivative of 72 + 10*p**2 - p**3 - 25/2*p - 1/10*p**5 - p**4. Factor z(j).
-(j - 1)**2*(j + 5)**2/2
Let t(j) be the third derivative of j**7/210 + 97*j**6/120 - 49*j**5/30 + 90*j**2 - 2. Factor t(q).
q**2*(q - 1)*(q + 98)
Let i = 7818431/5 + -1563685. Determine w so that -i*w - 9 + 3/5*w**2 = 0.
-3, 5
Let w(l) be the first derivative of -112*l**3 + 179*l**2 - 22*l + 1892. Factor w(v).
-2*(v - 1)*(168*v - 11)
Let a(x) be the third derivative of -8/5*x**5 - 1 - 52/3*x**3 + 1/30*x**6 + 0*x - 6*x**2 - 17/2*x**4. Factor a(u).
4*(u - 26)*(u + 1)**2
Let w(c) be the third derivative of -c**5/150 + 11*c**4/3 + 75*c**3 - c**2 - 2*c - 2299. Determine x so that w(x) = 0.
-5, 225
Let b(q) = -6*q**3 - 9*q**2 - 5*q - 12. Let t be b(-3). Factor y**2 + 2*y**2 - y**2 + t - 116*y + 33*y - 3*y**2.
-(y - 1)*(y + 84)
Let t(q) be the third derivative of 1/15*q**6 + 0*q**3 + 1/60*q**7 + 0*q**4 + 1/672*q**8 - 2*q**2 - q + 0 + 1/10*q**5. Factor t(m).
m**2*(m + 2)**2*(m + 3)/2
Let z(x) = 106*x**2 + x**3 + 6 - 102*x**2 + 13*x - 4 - 2*x**3. Let i be z(-2). Let 2/5*p**2 + 0 + 2/15*p**3 + i*p = 0. What is p?
-3, 0
Let s(r) = 22*r**5 - 4*r**4 - 86*r**3 - 12*r**2 + 16*r - 16. Let z(a) = -7*a**5 + a**4 + 27*a**3 + 4*a**2 - 5*a + 5. Let i(g) = -5*s(g) - 16*z(g). Factor i(y).
2*y**2*(y - 1)*(y + 1)*(y + 2)
Suppose -h + 8292 + 8123 = 2*v, 5*v + 4*h = 41042. Suppose v*n = 8200*n. Suppose 3*q**5 + 9/2*q**2 + n + 0*q + 27/2*q**4 + 15*q**3 = 0. What is q?
-3, -1, -1/2, 0
Suppose f + 2*f - 9 = 0. Let v be (4 + -1)*((-70)/(-18) - f). Find k such that 0 + 8/3*k**2 - 4/3*k**3 + 4/3*k**5 + 0*k - v*k**4 = 0.
-1, 0, 1, 2
Solve 111*q**3 + 0*q - 66/5*q**2 + 57/5*q**5 + 0 + 678/5*q**4 = 0 for q.
-11, -1, 0, 2/19
Suppose 50 = 49*r - 48. Solve 0*w - 2/17*w**4 + 2/17*w**r + 0 - 2/17*w**5 + 2/17*w**3 = 0 for w.
-1, 0, 1
Suppose 31*a - 38*a = -123*a - 173*a + 578. Find v such that -10*v**a + 46/3*v - 20/3 + 2/3*v**3 + 2/3*v**4 = 0.
-5, 1, 2
Let m(a) be the third derivative of 0*a - 9/70*a**7 - 2*a**3 - 3/2*a**4 - 1/28*a**8 + 1/4*a**6 + 39*a**2 + 19/20*a**5 - 2. Find n such that m(n) = 0.
-2, -1/4, 1
Let y(v) be the first derivative of v**6/6 + 42*v**5/5 - 49*v**4/4 - 86*v**3 - 8822. Let y(r) = 0. Calculate r.
-43, -2, 0, 3
Find r, given that -2*r**3 + 456 + 56*r + 386*r + 40096*r**2 - 40112*r**2 = 0.
-19, -1, 12
Let y(b) be the first derivative of 48*b**5/5 + 59*b**4 + 328*b**3/3 + 82*b**2 + 24*b - 2037. Solve y(u) = 0.
-3, -1, -2/3, -1/4
Let c = 548 + -376. Find u, given that -6 + u**2 + 2 - 4 + c*u - 165*u = 0.
-8, 1
Let n(o) = -123*o**2 + 54*o + 9. Let i(j) = -247*j**2 + 104*j + 24. Let k(v) = 3*i(v) - 7*n(v). Solve k(x) = 0.
1/4, 3/10
Let r(a) be the first derivative of -2*a**3/9 - 80*a**2/3 - 104*a + 2666. Determine p, given that r(p) = 0.
-78, -2
Let o(j) be the second derivative of j**4/36 + 1097*j**3/18 - 483*j. Factor o(u).
u*(u + 1097)/3
Let g(j) be the first derivative of 2368*j**5/25 + 2088*j**4/5 + 1308*j**3/5 + 272*j**2/5 + 12*j/5 + 6585. Determine m, given that g(m) = 0.
-3, -1/4, -1/37
Let c(l) be the second derivative of 3*l**5/20 - 23*l**4/4 + 45*l**3 + 8210*l. Factor c(u).
3*u*(u - 18)*(u - 5)
Suppose -4*u - 8 = -5*j - 3, -2*u + 10 = 0. Suppose 5*k = 3*g + 1, 0 = -j*k + 3 + 7. Let 3 - 11*d**g + 20*d**3 - 5*d**3 + 8*d - 15*d**2 = 0. What is d?
-1/4, 1, 3
Suppose 7*r - 6*r - 4 = 4*f, -f + 38 = 3*r. Factor 7*q**2 - 2*q**3 - 12*q + 27*q - q**4 + 5*q + r.
-(q - 3)*(q + 1)*(q + 2)**2
Let z = -208 - -202. Let k(s) = 5*s**3 - 24*s**2 - 165*s - 224. Let q(j) = j**3 + 3. Let f(w) = z*q(w) + k(w). What is h in f(h) = 0?
-11, -2
Let z = 615977/96230 - 21/19246. Factor -16/5*i**2 - 2/5*i + 0 - z*i**3.
-2*i*(4*i + 1)**2/5
Let r be 1*(-2)/(-6)*(-306)/17. Let o(z) = -z**3 - 7*z**2 - 4*z + 12. Let v be o(r). What is q in 1/4*q - 1/4*q**2 + v = 0?
0, 1
Let d(q) be the second derivative of -5*q**7/42 + 7*q**6/3 + 117*q**5/4 + 175*q**4/6 - 500*q**3/3 + 26*q + 4. Solve d(j) = 0