ose 16*l - 48 = 8*l. Let p(c) be the first derivative of -2/3*c**3 - 1/6*c**l + c**4 - 3/2*c**2 - 10 + 0*c**5 + 2*c. Solve p(j) = 0 for j.
-2, -1, 1
Let a = 419 - 419. Let j = 2 - 2. Factor j + 1/4*w**2 + a*w.
w**2/4
Let u = 32 + -29. Let u*r + 314*r**2 + 4 + 51*r - 264*r**2 = 0. Calculate r.
-1, -2/25
Let o(t) be the first derivative of -2/9*t**6 - 2/3*t**2 - 1/3*t - 1/15*t**5 + 2/9*t**3 + 2/3*t**4 - 28. Find x, given that o(x) = 0.
-1, -1/4, 1
Let g(t) be the third derivative of -t**5/270 + 2*t**4/27 + 20*t**3/27 + t**2 - 5. Factor g(a).
-2*(a - 10)*(a + 2)/9
Let z be (76/78 - 1)/(537/(-6444)). Factor z - 10/13*n + 6/13*n**2.
2*(n - 1)*(3*n - 2)/13
Let j(o) be the second derivative of o**7/42 + 53*o**6/90 - 83*o**5/60 - 43*o**4/12 + 40*o**3/9 + 38*o**2/3 - 320*o. Solve j(r) = 0 for r.
-19, -1, -2/3, 1, 2
Let n(y) = 6*y**3 - 6*y**2 - 30*y - 27. Let h(w) = -w**3 - 2*w**2 - w + 1. Let u(f) = -9*h(f) - n(f). Find c such that u(c) = 0.
-6, -1
Let k(n) = -3*n - 2. Let f be k(1). Let g be (2/f)/((-1)/5). Factor 2*b + 6 - 4 - g*b**2 - 2*b**3 + 3 - 3.
-2*(b - 1)*(b + 1)**2
Let h(b) be the second derivative of -2*b**7/21 - b**6/15 + b**5/3 + b**4/3 - 7*b**2/2 + 15*b. Let q(t) be the first derivative of h(t). Factor q(r).
-4*r*(r - 1)*(r + 1)*(5*r + 2)
Let t be ((1 + 1)/(-2))/1. Let u(n) = -14*n**3 + n**2 + 2*n + 1. Let j be u(t). Factor -46*b**4 - 26*b**2 - 91*b**3 + 37*b**3 - 3*b - j*b**5 - b.
-2*b*(b + 1)**3*(7*b + 2)
Let q be 22/33 - (-13)/3. Suppose -6*w**2 - 6*w**2 + 5*w**3 + q*w + 22*w**2 = 0. What is w?
-1, 0
Factor 0*d + 0 + 5/2*d**3 + 15*d**2.
5*d**2*(d + 6)/2
Let v(n) be the second derivative of n**5/110 + 41*n**4/66 - 14*n**3/11 + 150*n. Determine b so that v(b) = 0.
-42, 0, 1
Let z(t) = -2*t**3 + 2*t**2 + 54*t - 18. Let h(y) = 2*y. Let q(j) = -36*h(j) + 2*z(j). Factor q(l).
-4*(l - 3)*(l - 1)*(l + 3)
Let j(o) = -o**2 + 26*o - 5. Let z be j(18). What is u in 4 + 0*u**2 - 7*u - 3*u**2 + 5*u**3 - z*u**4 + 2*u + 138*u**4 = 0?
-1, 1, 4
Let f be ((-18)/(-4))/(9/12). Suppose -6*y + 2*y + 49 = -b, 9 = -y - 4*b. Factor 4 + f - 2 - y - 10*p**2 - 11*p.
-(2*p + 1)*(5*p + 3)
Suppose -5*m + 3*d = -13, 7*m - 2*m = 5*d + 5. Let b(t) be the first derivative of -3/2*t**2 + 2*t**3 - 11 - 6/5*t**m + 0*t + 1/2*t**6 + 0*t**4. Factor b(w).
3*w*(w - 1)**3*(w + 1)
Let k(i) = -i**2 - i - 4. Let l(n) = -3*n**2 - 2*n - 9. Let x = -17 + 10. Let b be (0 + -3)*(-14)/x. Let w(d) = b*l(d) + 15*k(d). Find f, given that w(f) = 0.
-1, 2
Let d be 1*14/8*-2*-2. Factor 18*b**2 + 25*b**2 + d*b**2 + 5*b**3.
5*b**2*(b + 10)
Let j be ((-3)/((-189)/(-750)))/(3 + (-654)/216). Factor j - 900/7*g - 3/7*g**3 + 90/7*g**2.
-3*(g - 10)**3/7
Let n(h) be the third derivative of h**6/480 - h**5/80 - h**4/96 + h**3/8 + 195*h**2. Factor n(d).
(d - 3)*(d - 1)*(d + 1)/4
Let j(a) be the first derivative of -63*a**5/5 + 3*a**4/4 + 86*a**3 - 6*a**2 - 24*a - 43. Let j(h) = 0. What is h?
-2, -2/7, 1/3, 2
Let h(i) = i + 7. Let g be (9/(-6) + 2)*-8. Let a be h(g). Factor 8*q**2 - 22*q**3 - 15*q**4 - 14*q**a - 20*q**2.
-3*q**2*(q + 2)*(5*q + 2)
Let m(j) = 27*j**2 + 48*j + 48. Let x(d) = -7*d**2 - 12*d - 12. Let h(q) = -4*m(q) - 15*x(q). Factor h(g).
-3*(g + 2)**2
Suppose 2*k = -g + 2 - 1, -3*g = -5*k + 19. Let o be k/(-4) - -5*2/4. Factor 4/11*d**3 - 6/11*d**4 + 2/11*d**5 + 0 + 0*d**o + 0*d.
2*d**3*(d - 2)*(d - 1)/11
Suppose -2*h + 0 = -134. Let b = 69 - h. Find p such that -27/4*p + 21/4*p**4 + 27/4*p**3 - 3/2 - 15/4*p**b = 0.
-1, -2/7, 1
Suppose 0*g + 192 = 8*g. Factor 46 - 24 - z**4 - g - z**3 + z + 3*z**2.
-(z - 1)**2*(z + 1)*(z + 2)
Let q(l) = -5. Let a(z) = -11. Let s(r) = 6*a(r) - 13*q(r). Let c(k) = -2*k**3 + 6*k**2 + 2*k - 7. Let j(n) = c(n) - s(n). Factor j(x).
-2*(x - 3)*(x - 1)*(x + 1)
Factor 17/4*g + 1/4*g**2 + 18.
(g + 8)*(g + 9)/4
Let y(h) = 16*h - 62. Let g be y(4). Let z(i) be the first derivative of -4*i + 4*i**4 + 7 - 8*i**3 - 4/5*i**5 + 8*i**g. Determine u, given that z(u) = 0.
1
Let f = -16 - -497/31. Let g = f - -91/62. Suppose -g - n + 1/2*n**2 = 0. What is n?
-1, 3
Let s(x) be the second derivative of -x**6/75 - x**5/10 + 2*x**4/15 + 44*x**3/15 + 48*x**2/5 - 424*x. Determine n, given that s(n) = 0.
-4, -2, 3
Let x be (1 + 2 + -3)*6/6. Let o(n) be the first derivative of 0*n**2 + 5 + 1/3*n**3 + x*n. Factor o(t).
t**2
Suppose 0 = j + 2*z + 6, -j = -3*z - 35 + 16. Let c(o) be the first derivative of -j*o + 3 - 7*o**2 + 7/2*o**4 + 4/3*o**3. Let c(i) = 0. Calculate i.
-1, -2/7, 1
Let g(v) = 3*v**2 - 166*v - 364. Let n(s) = 11*s**2 - 662*s - 1458. Let p(j) = 9*g(j) - 2*n(j). Solve p(u) = 0.
-2, 36
Let l be 1/(21/6 + -4). Let h(d) = -d - 1. Let r(f) = -f**2 - 2*f + 2. Let w(z) = l*h(z) - r(z). What is u in w(u) = 0?
-4, 0
Let j(y) be the second derivative of y**7/147 + 12*y**6/35 + 431*y**5/70 + 282*y**4/7 - 144*y**3/7 - 1728*y**2/7 - 16*y + 5. Suppose j(p) = 0. What is p?
-12, -1, 1
Let u(c) be the second derivative of c**5/15 - 13*c**4/24 + c**3/2 + 25*c**2 + 22*c. Let n(g) be the first derivative of u(g). Factor n(q).
(q - 3)*(4*q - 1)
Let j(l) = 16*l**2 - 178*l - 5. Let o(n) = 9*n**2 - 90*n - 3. Let i(f) = -3*j(f) + 5*o(f). Factor i(m).
-3*m*(m - 28)
Let j(b) be the first derivative of 12 - 1/4*b**2 - 1/32*b**4 - 1/6*b**3 + 0*b. Factor j(s).
-s*(s + 2)**2/8
Let d(o) = 2*o - 5. Let k(w) = w**2 + 14*w - 37. Let n(q) = 5*d(q) - k(q). Solve n(h) = 0.
-6, 2
Determine d so that 4/9*d + 22/9*d**3 + 0 - 26/9*d**2 = 0.
0, 2/11, 1
Factor 6*m**2 - 4*m**3 - 14*m**5 + 9*m - 8*m**3 + 12*m**5 - 6 + 5*m**5.
3*(m - 1)**3*(m + 1)*(m + 2)
Let i = -69 + 73. Solve -9*p**3 + i*p**4 + 16*p**4 - 3*p**5 + 12*p - 12*p**2 + 0*p**3 - 8*p**4 = 0.
-1, 0, 1, 2
Let l(b) = -b**3 + 12*b**2 - 13*b + 24. Let p be l(11). Factor -7*z**2 + z**3 + 0*z**3 - 3*z**3 + 2*z**4 + 3*z**p.
2*z**2*(z - 2)*(z + 1)
Let h(c) be the first derivative of -30*c**4 + 52*c**3/3 - 7*c**2/4 - c/2 - 242. Let h(m) = 0. What is m?
-1/15, 1/4
Let g(w) be the second derivative of 289*w**5/10 + 221*w**4/6 - 64*w**3/3 + 4*w**2 - 66*w + 3. Factor g(a).
2*(a + 1)*(17*a - 2)**2
Let k(y) be the third derivative of -y**6/144 - y**5/48 - 7*y**3/6 - 7*y**2. Let s(n) be the first derivative of k(n). Let s(b) = 0. What is b?
-1, 0
Solve -s + 5*s**2 - 63 + 73 + 16*s = 0.
-2, -1
Factor -1/2*k**3 - 7*k + 9/2*k**2 - 12.
-(k - 6)*(k - 4)*(k + 1)/2
Let x(l) = 15*l**3 - 370*l**2 + 5*l - 5. Let o(a) = 7*a**3 - 185*a**2 + 2*a - 2. Let p(w) = 5*o(w) - 2*x(w). Find i, given that p(i) = 0.
0, 37
Suppose 4*c - 8 = -4*g, 3*c = -2*g - 2*g + 4. Factor 8*x**2 - 4*x**2 - 5*x - c + 4*x**3 + x.
4*(x - 1)*(x + 1)**2
Let p(s) be the third derivative of 0 - 13*s**2 + 0*s - 14/45*s**5 - 25/72*s**4 - 2/45*s**6 - 1/6*s**3. Solve p(l) = 0.
-3, -1/4
Let u = 30999/2 - 15498. Suppose 9 - u*k**2 + 3/2*k = 0. Calculate k.
-2, 3
Let l be (-2)/(-2 - 0)*-8. Let m(t) = 2*t - 377 + 186 + 183 + 20*t**2 - 14*t**3. Let s(n) = -5*n**3 + 7*n**2 + n - 3. Let a(i) = l*s(i) + 3*m(i). Factor a(q).
-2*q*(q - 1)**2
Let j(y) be the third derivative of -1/168*y**8 - 2/3*y**4 + 0 - 2/3*y**5 + 0*y - 3/10*y**6 + 19*y**2 + 0*y**3 - 1/15*y**7. Suppose j(s) = 0. What is s?
-2, -1, 0
Suppose 4*w - 8*w + 4*g = -12, -4*g - 10 = -3*w. Let a(m) = m + 8. Let r be a(-6). Solve -r*p + 1/2*p**w + 2 = 0 for p.
2
Let q be (-2)/4 - 74/(-111). Let h(y) be the second derivative of y**2 + 7/6*y**3 - 7/20*y**5 + 0 - q*y**4 - 5*y. Suppose h(i) = 0. Calculate i.
-1, -2/7, 1
Let i be (8 - 7)/1 + 5/(-15). Factor 0*k**4 - i + 2/3*k**2 + 4/3*k**3 - 1/3*k**5 - k.
-(k - 2)*(k - 1)*(k + 1)**3/3
Let -8/3*g**3 - 32/3 + 2/3*g**4 - 18*g**2 - 76/3*g = 0. Calculate g.
-2, -1, 8
Let k(c) be the third derivative of -c**8/3360 - c**4/2 - 6*c**2. Let f(i) be the second derivative of k(i). Factor f(y).
-2*y**3
Let m(p) be the second derivative of -3*p**5/140 - 5*p**4/14 - 9*p**3/14 + 790*p. Find b such that m(b) = 0.
-9, -1, 0
Let f(r) be the first derivative of r**5/20 + r**4/4 + r**3/4 - r**2/2 - r - 79. What is i in f(i) = 0?
-2, -1, 1
Solve 38*c - 33*c + 50*c + 35*c - 2*c**2 - 88 = 0 for c.
1, 44
Find l, given that -14/5*l**2 - 82*l - 116/5 = 0.
-29, -2/7
Factor -9*t**2 + 22*t**3 - 5*t - 7*t - 19*t**3.
3*t*(t - 4)*(t + 1)
Let z = -23732 + 23735. Let -1/2*w - 1/2*w**2 + z = 0. Calculate w.
-3, 2
Let l = -5739 - -16520/3. Let b = 233 + l. Fa