h**3 + 475*h. Solve g(q) = 0.
-20, 0, 1
Let a = 12384 - 12384. Solve 1/3*o**5 + 0*o + 0*o**4 + a*o**2 - 1/3*o**3 + 0 = 0 for o.
-1, 0, 1
Let k be 654/693 + ((-300)/(-44) - 7). Solve 12/7*j**3 - 2/3*j**4 - 40/21*j**2 + 0 + 2/21*j**5 + k*j = 0 for j.
0, 1, 2
Let r be 23 - 10523/459 - (-82)/351. Factor -2/13*h**2 + 0 - r*h.
-2*h*(h + 2)/13
Let o(x) be the second derivative of -x**5/30 - x**4/9 + x**3/9 + 2*x**2/3 + 225*x. Determine j, given that o(j) = 0.
-2, -1, 1
Let p be (-16)/(-6) + (-7)/((-42)/(-4)). Factor 16*c**p + 2*c**3 + 16 - 7 + 8*c - 9 - 6*c**4.
-2*c*(c - 2)*(c + 1)*(3*c + 2)
Let c(n) be the third derivative of 2*n**7/105 - 13*n**6/60 + 31*n**5/30 - 8*n**4/3 + 4*n**3 + 77*n**2. Suppose c(h) = 0. Calculate h.
1, 3/2, 2
Solve 24/5*a + 22/5*a**2 + 8/5 - 2/5*a**5 - 6/5*a**4 + 2/5*a**3 = 0.
-2, -1, 2
Let d(s) be the second derivative of s**5/5 - s**4/3 - 10*s**3/3 - 6*s**2 - 13*s. Factor d(i).
4*(i - 3)*(i + 1)**2
Let k(a) be the third derivative of a**7/42 + 55*a**6/12 + 3025*a**5/12 + 46*a**2 - 1. Find z such that k(z) = 0.
-55, 0
Let 49/5*d**4 - 48/5*d**2 - 14/5*d**3 - 1/5 + 14/5*d = 0. Calculate d.
-1, 1/7, 1
Let d(q) = q**5 - q - 1. Let l(b) = 17*b**2 - 3*b - 11*b**2 - 2*b**3 + 9*b**5 - 4*b - 7 - 5*b**4. Let k(r) = -6*d(r) + l(r). Find c, given that k(c) = 0.
-1, -1/3, 1
Let x = 36 + -23. Let s = x + -13. Factor 0 + 1/5*c**2 + 1/5*c**3 + s*c.
c**2*(c + 1)/5
Let f(b) be the second derivative of -2*b**6 - 5/2*b**4 + 0*b**2 + 0 - 7*b + 13/4*b**5 + 10/21*b**7 + 5/6*b**3. Let f(z) = 0. Calculate z.
0, 1/2, 1
Solve 148*n**4 - 77*n**4 - 48*n + 20*n**5 - 112*n**2 + 17*n**4 + 52*n**3 = 0.
-3, -2, -2/5, 0, 1
Let v be (1 - 8/6)*(-2 - 1). Let c be ((-1)/(-2) - v)/(-2). Factor 0 - c*p**2 - 1/4*p.
-p*(p + 1)/4
Suppose 3*a + 0*a + 9 = -2*d, -4*d + 32 = -4*a. Find k, given that -2/9*k + 0 + 2/3*k**d - 4/9*k**2 = 0.
-1/3, 0, 1
Let j(h) = 4*h**3 + 23*h**2 - 2*h - 81. Let x be j(-5). Suppose -1/5*u**5 - 2/5*u**x - 2/5 + 4/5*u**2 + 2/5*u**3 - 1/5*u = 0. Calculate u.
-2, -1, 1
Suppose -5*s + y = 2*y - 122, s - 10 = -5*y. Suppose 5 = 5*t - s. Determine x, given that -4*x**2 + 2*x**3 + x + 6*x**2 - t*x**2 + x = 0.
0, 1
Let d(q) be the third derivative of 1/780*q**6 + 0*q**3 + 0*q**4 + 0 + 0*q + 0*q**5 - 9*q**2 - 1/1365*q**7. Solve d(v) = 0.
0, 1
Let j(a) = 3*a. Let n be j(12). Suppose -2*o = -5*u + 22, 4*u + o + 2*o = n. Determine q so that 0*q**3 + 3*q**3 + 5*q**2 - 2*q - u*q**3 = 0.
0, 2/3, 1
Suppose 0 = 45*h - 51*h. Let u(v) be the second derivative of 0 + 0*v**3 - 3*v + h*v**4 + 0*v**2 - 1/20*v**5. Factor u(k).
-k**3
Let y(m) be the first derivative of m**5/210 - m**4/42 - m**3/7 + 6*m**2 - 26. Let u(o) be the second derivative of y(o). What is r in u(r) = 0?
-1, 3
Suppose l + 63 - 8 = 0. Let t be (-10)/(-6)*(-22)/l. Find u, given that -t*u + 1 - 1/3*u**2 = 0.
-3, 1
Let q(r) = -2*r - 2 - 8*r + 5 + r**2. Let m be q(10). Determine y, given that 24*y**2 + 5*y - 4*y**m - 6 - 2*y + 19*y**3 = 0.
-1, 2/5
Let d(c) be the first derivative of -c**5/10 - 3*c**4/8 + c**3/2 + 7*c**2/4 - 3*c - 77. Factor d(s).
-(s - 1)**2*(s + 2)*(s + 3)/2
Let t(w) be the first derivative of -1/12*w**4 + 1/9*w**3 + 45 + 0*w**2 + 0*w. Factor t(d).
-d**2*(d - 1)/3
Let j(z) = -z**3 - 10*z**2 + 37*z - 23. Let h be j(-13). Let q be (18/(-12))/((-3)/8). Solve 2/11*f**q - 8/11 + 8/11*f**h + 6/11*f**2 - 8/11*f = 0.
-2, -1, 1
Factor 32/5 - 24/5*z**2 + 2/5*z**4 - 2/5*z**3 - 8/5*z.
2*(z - 4)*(z - 1)*(z + 2)**2/5
Let m(f) be the first derivative of -8/3*f**3 - 2*f**2 - f**4 - 3 + 0*f. Suppose m(z) = 0. Calculate z.
-1, 0
Let s(a) be the third derivative of a**5/180 - 7*a**4/36 + 20*a**3/9 - 64*a**2. Determine d so that s(d) = 0.
4, 10
Suppose 6*n - 57 = 69. Let v = n + -62/3. Solve v*d + 0 - 1/3*d**2 = 0.
0, 1
Let i(m) = -7*m - 4. Let a be i(0). Let x be 1/a - (-54)/24. Find v such that 4/3 + 2/3*v - 2/3*v**x = 0.
-1, 2
Let a(i) be the second derivative of -i**4/15 + 7*i**3/15 + 4*i**2/5 - 302*i. Let a(c) = 0. What is c?
-1/2, 4
Let q = -110 - -68. Let j be q/56 + 63/4. Factor -6*r**2 + 15*r - j*r + 2*r**3 - 23*r**3.
-3*r**2*(7*r + 2)
Solve -8/7*k - 2/7*k**2 + 10/7 = 0 for k.
-5, 1
Let a(p) be the second derivative of 0*p**2 + 0*p**4 + 1/35*p**5 - 5/147*p**7 - 12*p + 0 - 1/35*p**6 + 0*p**3. Let a(q) = 0. What is q?
-1, 0, 2/5
Let o(n) = 2*n**2 - 131*n - 1323. Let a(k) = k**2 - 130*k - 1323. Let g(d) = -5*a(d) + 4*o(d). Determine x so that g(x) = 0.
-21
Let i(n) be the second derivative of -n**7/42 + n**6/2 + 4*n**5/5 + 8*n + 15. Suppose i(p) = 0. Calculate p.
-1, 0, 16
Let s(f) be the first derivative of -f**7/315 + f**6/72 - f**5/60 - f**4/72 + f**3/18 - 2*f**2 + 8. Let w(l) be the second derivative of s(l). Factor w(k).
-(k - 1)**3*(2*k + 1)/3
Let o(r) be the second derivative of r**6/480 + r**5/64 + r**4/32 - 4*r**3/3 + 12*r. Let f(z) be the second derivative of o(z). Factor f(j).
3*(j + 2)*(2*j + 1)/8
Factor -256/3 + 224/3*b - 49/3*b**2.
-(7*b - 16)**2/3
Let j(k) be the second derivative of -k**5/60 - 5*k**4/36 + 4*k**3/3 + 211*k. Factor j(m).
-m*(m - 3)*(m + 8)/3
Let o(w) be the first derivative of -1/21*w**3 - 10 + 2/7*w**2 - 3/7*w. Find p, given that o(p) = 0.
1, 3
Let u = 34 + -32. Find x, given that -640*x - 35*x**3 - 299 - 93*x**u - 197*x**2 + 139 = 0.
-4, -2/7
Let s(v) be the first derivative of 5/3*v**3 + 8*v - 11*v**2 + 30. Let s(d) = 0. What is d?
2/5, 4
Let u(l) be the first derivative of 15/4*l**4 - 6 + 5/2*l**2 + 25/3*l**3 - 5*l. Factor u(n).
5*(n + 1)**2*(3*n - 1)
Let c be (1 - 68/16)*-20. Let i = c + -324/5. Solve -2/5 - i*x**3 + 0*x**2 + 3/5*x = 0.
-2, 1
Let d(w) be the second derivative of 5*w**4/48 + 5*w**3/8 - 5*w**2/2 - 129*w. Factor d(z).
5*(z - 1)*(z + 4)/4
Let q(c) be the first derivative of c**5/480 - c**4/32 + 3*c**3/16 + c**2 - c - 21. Let l(i) be the second derivative of q(i). Find y such that l(y) = 0.
3
Solve -37*b**3 - 9 - 96*b - 10*b**3 - 97*b**2 - b**5 - 28 - 11*b**4 + 1 = 0.
-3, -2, -1
Let b = -2 - -3. Let m be 5/(5/3) - b. Factor 21 + 0*z**2 - 2*z**m + z**3 + z - 21.
z*(z - 1)**2
Let b be (-6)/4*(-1603)/(-21)*-38. Let a = b + -30403/7. Solve -18/7*f**2 + 54/7*f - a + 2/7*f**3 = 0 for f.
3
Suppose 4*g + 7*g + 198 = 0. Let m be (-9)/(-12) + 9/g. Determine t, given that -1/2*t - m - 1/4*t**2 = 0.
-1
Suppose -25*w = 18*w - 86. Let b(p) be the first derivative of 0*p + 16/5*p**w + 256/15*p**3 + 448/25*p**5 + 49/15*p**6 + 156/5*p**4 + 7. Factor b(t).
2*t*(t + 2)**2*(7*t + 2)**2/5
Determine r, given that 12/7*r**3 + 20/7*r - 2/7*r**4 - 24/7*r**2 - 6/7 = 0.
1, 3
Let j(i) = -451*i + 7 - 2 + 453*i + 7. Let u be j(-5). Factor 1/6*q**u + 1/3*q - 1/2.
(q - 1)*(q + 3)/6
Factor 0 + 4/13*y**5 + 50/13*y**2 + 120/13*y**3 + 42/13*y**4 + 0*y.
2*y**2*(y + 5)**2*(2*y + 1)/13
Suppose 13 = 2*p + 7. Factor s**4 + 3*s**4 - 5*s - 10*s**p - 5*s**2 + 15*s**3 + s**4.
5*s*(s - 1)*(s + 1)**2
Let f = 344 + -16855/49. Let l = f - -341/98. Determine k so that l*k**2 + 1 - 9/2*k = 0.
2/7, 1
Let t(v) = -3*v**3. Let u(k) = -11*k**4 + 68*k**3 - 6*k**2. Let o(m) = 22*t(m) + 2*u(m). Solve o(g) = 0 for g.
0, 2/11, 3
Let k = -645 + 1113. Factor -i**2 - 470 + 2*i**2 + k + i.
(i - 1)*(i + 2)
Let l(i) be the second derivative of i**4/66 - i**3/11 - 18*i**2/11 - 227*i. Factor l(b).
2*(b - 6)*(b + 3)/11
Factor 8/3 - 7/3*u + 1/3*u**4 + 7/3*u**3 - 3*u**2.
(u - 1)**2*(u + 1)*(u + 8)/3
Let i = 59 + -56. What is w in 8*w**2 + 20 - 28*w**2 + w**3 + 4*w**3 - 2*w - i*w = 0?
-1, 1, 4
Let o(q) be the second derivative of -q**9/7056 + q**8/2940 + q**7/1470 + 5*q**3/3 + 13*q. Let j(a) be the second derivative of o(a). Factor j(g).
-g**3*(g - 2)*(3*g + 2)/7
Let q = 8 + 2. Let r = 11 - q. Factor -k**4 + 0 + k**5 - 2*k**3 + k - r + 9*k**2 - 7*k**2.
(k - 1)**3*(k + 1)**2
Let l(q) be the second derivative of -1/5*q**5 - 1/105*q**7 + 1/3*q**4 + 0 - 1/3*q**3 + 1/15*q**6 + 1/5*q**2 + 11*q. What is y in l(y) = 0?
1
Suppose 2*n = 3*n - 15. Factor 5*q**3 + 8*q**3 - n*q**3 - 2*q**4.
-2*q**3*(q + 1)
Let f = 10 - 7. Solve -6*d**3 - 29*d**f + 5*d**4 + 160*d**2 - 15*d**3 - 160*d = 0.
0, 2, 4
Let k(i) be the first derivative of i**7/4200 + i**6/600 + i**5/300 + 23*i**3/3 + 22. Let v(o) be the third derivative of k(o). Suppose v(y) = 0. What is y?
-2, -1, 0
Let i(v) = -44*v**3 + 287*v**2 + 426*v + 121. Let f(k) = 7*k**3 - 48*k**2