*g**4 + 2/9 = 0. Calculate g.
-1, 1/3, 1
Let v be -10 + (-1572)/(-96) + -6. Factor -j**4 + 3/4*j**2 + v*j**5 - 7/8*j + 1/2*j**3 + 1/4.
(j - 1)**3*(j + 1)*(3*j - 2)/8
Let d be (-9)/(-3) + 2 + 2394/(-480). Let t(o) be the third derivative of 1/32*o**4 + 0 + o**2 + 0*o - d*o**5 + 1/4*o**3. Solve t(g) = 0 for g.
-1, 2
Let d(h) = 9*h**3 + 6*h**2 + 5*h. Suppose 2*r - j = 5, 2*j - 20 = -3*r + j. Let f(n) = 11*n**3 + 7*n**2 + 6*n. Let i(x) = r*d(x) - 4*f(x). Factor i(v).
v*(v + 1)**2
Let o(v) be the third derivative of v**5/30 - 8*v**4/3 + 256*v**3/3 - 43*v**2. Factor o(w).
2*(w - 16)**2
Let b(o) be the third derivative of 2/3*o**3 + 1/120*o**6 - 3/8*o**4 + 0*o + 0 + 3*o**2 + 1/20*o**5. Let h(l) be the first derivative of b(l). Factor h(z).
3*(z - 1)*(z + 3)
Suppose 5*d = 3*d + 6. Factor -39*c**2 - 9*c + 6 + 2*c**3 - 12*c**3 + d*c**2 - 11*c**3.
-3*(c + 1)**2*(7*c - 2)
Suppose -40 = -o - 3*p, 5*p - 2*p - 152 = -5*o. Factor 85*y + 6*y**4 + o*y + 32 - 40*y**3 + 34*y**2 - y.
2*(y - 4)**2*(y + 1)*(3*y + 1)
Let x(f) be the first derivative of 3*f**5/5 + 7*f**4/2 - 8*f**3/3 - 7*f**2 + 5*f + 32. Solve x(c) = 0.
-5, -1, 1/3, 1
Let p = 2442 + -2440. Factor 1/2*q**4 + q**3 - 4*q - p*q**2 + 0.
q*(q - 2)*(q + 2)**2/2
Let z(h) = -14*h**2 + 13*h - 70. Let g(y) = 5*y**2 - 4*y + 24. Let s(f) = 11*g(f) + 4*z(f). Factor s(d).
-(d - 4)**2
Suppose 89*v = 177 + 179. Solve -3/4*r**3 + 0 - 1/4*r**5 + 1/4*r**2 + 0*r + 3/4*r**v = 0.
0, 1
Let c be 13/5 + 4/10. Let m be -7 - (-9)/((-81)/(-69)). Let -m + 4/3*z**c + 2/3*z**4 - 4/3*z + 0*z**2 = 0. What is z?
-1, 1
Let w(l) be the second derivative of -2/15*l**6 + 0*l**2 + 0 - 3/5*l**5 + 2/21*l**7 - 4/3*l**3 + 3*l + 5/3*l**4. Find y, given that w(y) = 0.
-2, 0, 1
Solve -84*c**2 + 11 - 520*c**4 + 8*c + 22*c + 27*c - 150*c**5 - c - 494*c**3 + 5 = 0.
-2, -1, -2/5, 1/3
Let t(o) = -12*o**3 + 39*o**2 - 3*o - 72. Let f(q) = 3*q**3 - 10*q**2 + q + 18. Let z(m) = 9*f(m) + 2*t(m). Let z(v) = 0. What is v?
-1, 2, 3
Let p(c) be the first derivative of c**6/6 - 11*c**5/5 + 17*c**4/2 - 14*c**3/3 - 35*c**2/2 + 25*c - 476. Solve p(w) = 0 for w.
-1, 1, 5
Let b(f) be the first derivative of 4*f**3/15 - 632*f**2/5 + 99856*f/5 - 503. Factor b(y).
4*(y - 158)**2/5
Let d be 5 + -1 - (-18)/(-3). Let m(y) = -y**3 + y. Let l(c) = c**4 - c**3 - c**2 + c. Let w(p) = d*m(p) - 2*l(p). Suppose w(f) = 0. What is f?
-1, 0, 1, 2
Let n(u) be the second derivative of 0*u**3 - 1/42*u**4 + 0 - 28*u + 4/7*u**2. What is a in n(a) = 0?
-2, 2
Let -9 + 103 + 5*z**2 - 44 - 35*z = 0. Calculate z.
2, 5
Factor -42*a - 9*a**3 - 21*a**3 + 9*a**3 + 79*a**2 + 74*a**2.
-3*a*(a - 7)*(7*a - 2)
Let u be -4 + 0 + (-35 - -39). Let q(s) be the third derivative of 0*s**4 + 0 + 4*s**2 + 1/70*s**7 + 0*s**3 + 0*s**6 + u*s + 0*s**5. Factor q(h).
3*h**4
Let a(b) = 5*b**4 + 4*b**2 + 4. Suppose -2 - 2 = -2*m. Let h(g) = -7 - 5*g**2 - 2*g**2 - 10*g**4 + 0*g**m + g**4. Let z(v) = 7*a(v) + 4*h(v). Solve z(n) = 0.
0
Suppose 0 = w - 37*k + 38*k - 7, 5*k - 27 = -w. Suppose r**3 + 0 - 1/3*r**5 + 5/3*r**w + 2/3*r - 1/3*r**4 = 0. Calculate r.
-1, 0, 2
Let d(v) be the first derivative of -3*v**4/4 - 29*v**3 + 45*v**2 + 112. Find b, given that d(b) = 0.
-30, 0, 1
Let s(d) = d**4 + d**3 - 4*d**2 - 7*d - 1. Let a(l) = l**3 - l + 1. Let z(c) = 5*a(c) + 5*s(c). Factor z(f).
5*f*(f - 2)*(f + 2)**2
Let z(f) = -262*f - 11526. Let k be z(-44). Factor 44/3*r**3 - 96 - 194/3*r**k - 176*r - 2/3*r**4.
-2*(r - 12)**2*(r + 1)**2/3
Let g(y) be the second derivative of 1/36*y**4 - 14/9*y**3 + 0 + 98/3*y**2 + 36*y. Factor g(i).
(i - 14)**2/3
Let h(z) = z - 1. Let p(j) = -4*j**2 - 784*j - 39212. Let k(b) = 8*h(b) - p(b). Suppose k(s) = 0. What is s?
-99
Let i(u) be the second derivative of -2*u**3/3 - 5*u. Let l be i(-2). Factor 28*c + l*c + c + 9 + 2*c + 12*c**2.
3*(c + 3)*(4*c + 1)
Let f = -332 + 179. Let s be (1 - 19/21)/((-51)/f). What is j in -4/7*j - 8/7*j**3 - s + 2*j**2 = 0?
-1/4, 1
Let h(j) be the first derivative of -2/3*j**3 - 26 + 3/2*j + 1/4*j**2. Suppose h(z) = 0. Calculate z.
-3/4, 1
Factor -72*v - 3144*v**2 + 3084*v**2 - 2*v**4 - 6*v**3 + 5*v**4.
3*v*(v - 6)*(v + 2)**2
Let a = 2/1241 - -7420/16133. Factor 10/13*t**2 + a*t**3 + 4/13*t - 2/13*t**4 - 2/13*t**5 + 0.
-2*t*(t - 2)*(t + 1)**3/13
Let v(w) be the first derivative of -w**4/8 - 5*w**3/6 - 7*w**2/4 - 3*w/2 + 25. Factor v(m).
-(m + 1)**2*(m + 3)/2
Let d(t) be the first derivative of -t**7/315 - t**6/90 + t**4/18 + 7*t**3 + 19. Let b(o) be the third derivative of d(o). Determine y so that b(y) = 0.
-1, 1/2
Let t(r) be the second derivative of -1/17*r**3 - 1/102*r**4 - 2/17*r**2 - 16*r + 0. Factor t(h).
-2*(h + 1)*(h + 2)/17
Suppose 4*t + 0*t - 12 = 0. Factor -u**2 + u - 8*u**t + 8*u - 3*u**2 - u + 4.
-4*(u - 1)*(u + 1)*(2*u + 1)
Factor 0*l**3 - 4*l**2 + 2 - l + 2*l**2 + l**3.
(l - 2)*(l - 1)*(l + 1)
Let n = 12 - 10. Let x(l) be the first derivative of 2 + 0*l - 1/12*l**3 - 1/4*l**n. Factor x(m).
-m*(m + 2)/4
Let q(d) = d + 5. Let y be q(-5). Suppose 3*b - p = -y*p + 4, -3*b - 5*p - 20 = 0. Find g such that 6*g**3 - 7*g + 2*g**2 - 4 + 2*g**4 + g + 0*g + b*g = 0.
-2, -1, 1
Let j(v) be the third derivative of -v**7/840 - 3*v**6/160 - v**5/12 - v**4/8 - 109*v**2. Factor j(y).
-y*(y + 1)*(y + 2)*(y + 6)/4
Suppose -40 = 5*j - 20 - 30. Solve -8/3*i + 4/3*i**j - 4 = 0 for i.
-1, 3
Let h(z) be the second derivative of -5*z**4/12 + 15*z**3/2 - 20*z**2 + 2*z + 5. Solve h(o) = 0.
1, 8
Let m(w) be the third derivative of -19/60*w**5 + 0 + 0*w + 1/70*w**7 + 1/3*w**4 - 1/30*w**6 - 26*w**2 + 2*w**3. Determine i, given that m(i) = 0.
-2, -2/3, 1, 3
Let h(k) be the second derivative of -k**5/4 - 145*k**4/12 - 275*k**3/6 - 135*k**2/2 - 176*k. Suppose h(u) = 0. What is u?
-27, -1
Let n = -1932 + 1935. Factor 1/5*j**2 - 3/5*j**n + 3/5*j + 1/5*j**4 - 2/5.
(j - 2)*(j - 1)**2*(j + 1)/5
Let l(m) be the second derivative of -m**7/5040 - m**6/120 - 3*m**5/20 - 3*m**4/4 - 24*m. Let i(g) be the third derivative of l(g). Factor i(x).
-(x + 6)**2/2
Let n(s) be the first derivative of -1/11*s**2 + 18 - 4/33*s**3 + 6/11*s. Factor n(z).
-2*(z - 1)*(2*z + 3)/11
Let i be 36/(-24)*2/(-3). Let -i + 4 + 3*n - 12*n - 3*n**3 + n**2 + 8*n**2 = 0. What is n?
1
Factor 198/5*k + 2/5*k**3 + 38/5*k**2 + 162/5.
2*(k + 1)*(k + 9)**2/5
Let s(v) = -v**3 + 4*v**2 - 2*v - 2. Let q be s(2). Suppose 0*r + 4/3*r**3 + 0 - 2/9*r**4 - 2*r**q = 0. Calculate r.
0, 3
Let w(g) = -3*g**2 + 4*g - 3. Let z(h) = 16*h**2 - 21*h + 16. Suppose 24 + 9 = -3*q. Let l(r) = q*w(r) - 2*z(r). Solve l(b) = 0.
1
Suppose -22*y + 27*y = 15. Let r(u) be the third derivative of 0*u + 0*u**y + 1/210*u**7 + 0 - 6*u**2 - 1/60*u**5 + 0*u**6 + 0*u**4. Factor r(n).
n**2*(n - 1)*(n + 1)
Suppose 0*u + 63/5*u**3 + 12*u**2 + 0 + 3/5*u**4 = 0. What is u?
-20, -1, 0
Let z = 818 - 4084/5. Factor 2/5*p**5 - z*p**3 + 0 + 4/5*p**4 + 0*p + 0*p**2.
2*p**3*(p - 1)*(p + 3)/5
Suppose 451 = 5*u - 4*j, 0 = -2*u - 0*u - 3*j + 162. Let v be 1 - (4 - u/21). Factor 8/7*o - v - 2/7*o**2.
-2*(o - 2)**2/7
Let r(b) be the second derivative of -5*b**4/12 - 40*b**3/3 + 85*b**2/2 + 2*b + 17. What is q in r(q) = 0?
-17, 1
Let l(g) be the third derivative of -1/6*g**4 - 21*g**2 - 1/210*g**7 + 0*g**3 + 1/15*g**5 + 1/120*g**6 + 0 + 0*g. Let l(q) = 0. What is q?
-2, 0, 1, 2
Let k(v) = -v**2 + 37*v - 208. Let h be k(30). Solve -8/3*a + 2/3*a**h + 2 = 0.
1, 3
Let n = 473/45 + -52/5. Let m(f) be the first derivative of 0*f - 1/6*f**4 - 1/15*f**5 - n*f**3 + 0*f**2 + 4. Let m(w) = 0. Calculate w.
-1, 0
Let r(x) = 4*x + 56. Let w be r(-19). Let o be (-1 - -1)*10/w. Factor 0*a + o + 1/2*a**2.
a**2/2
Let p(w) be the third derivative of 0*w + 0 + 1/6*w**3 + 9*w**2 + 1/12*w**5 + 1/3*w**4. Let m(t) = 6*t**2 + 7*t. Let j(s) = 2*m(s) - 3*p(s). Factor j(k).
-(k + 3)*(3*k + 1)
Let d(l) be the first derivative of -26 + 2/25*l**5 + 0*l**2 + 1/10*l**4 + 0*l**3 + 0*l. Factor d(f).
2*f**3*(f + 1)/5
Let o(b) be the second derivative of -2*b**7/63 + b**6/6 - 2*b**5/15 - 19*b**4/36 + 2*b**3/3 + 2*b**2/3 + 4*b - 17. Find p such that o(p) = 0.
-1, -1/4, 1, 2
Let b(a) be the third derivative of a**5/330 - a**4/33 + a**3/11 - 115*a**2. Find d such that b(d) = 0.
1, 3
Suppose -3/7*u**4 + 100/7 + 41/7*u**3 + 235/7*u - 181/7*u**2 = 0. What is u?
-1/3, 4, 5
Let 0 - 1/3*q**4 + q**3 + 1/3*q**2 - 2/3*q -