 = -34*u + l. Find d such that 6/5 + 9/5*d - 3*d**u = 0.
-2/5, 1
Let n(a) = -a**2 + 2*a + 15. Let y be n(5). Suppose -4*t = 4*v + 12, -2*t + y = v + 3. Factor 0*p**2 + t*p + 0 - 2/3*p**3 + 2/3*p**4.
2*p**3*(p - 1)/3
Let u = -3192 + 22347/7. Factor u*n**5 + 0*n + 9/7*n**3 - 3/7*n**2 - 9/7*n**4 + 0.
3*n**2*(n - 1)**3/7
Factor 155*b**2 - 628*b**3 - 626*b**3 + 1259*b**3 + 150*b.
5*b*(b + 1)*(b + 30)
Suppose -774*k - 52 = -800*k. Suppose -1/3*w**4 - 1 - 10/3*w - 4*w**2 - k*w**3 = 0. Calculate w.
-3, -1
What is d in 2/7*d**3 + 8/7*d**2 + 8/7*d + 0 = 0?
-2, 0
Let h = -15865 - -15867. Suppose -5/4*y**4 + 0 + 0*y - 7/4*y**3 - 1/2*y**h = 0. Calculate y.
-1, -2/5, 0
Let n(u) = -u - 7. Let r be n(-10). Let i(j) be the first derivative of -4 + 2*j - j**r - 3/2*j**2 + 1/2*j**4. Suppose i(k) = 0. Calculate k.
-1, 1/2, 2
Suppose 0 = -w + 3*w - 6. Solve -2 + 12*q**3 - 5*q**w + 4 - 3*q**2 + q**4 - q - 6*q**3 = 0 for q.
-2, -1, 1
Let h(p) be the first derivative of 1/48*p**4 + 0*p**3 + 3 - 6*p - 1/8*p**2. Let g(n) be the first derivative of h(n). Factor g(m).
(m - 1)*(m + 1)/4
Suppose -2*h = 5*t - 4, -h + 66 = 2*t + 65. Factor 0 + 2/23*u - 2/23*u**t.
-2*u*(u - 1)/23
Let d(u) be the second derivative of -8*u**2 + 5*u. Let m(b) = 3. Let z(x) = 3*d(x) + 15*m(x). Let c(l) = l**2 - 4. Let t(w) = 3*c(w) - 4*z(w). Factor t(a).
3*a**2
Suppose -3*f - 4 = 2*r - 21, 5*f - 33 = -r. Let h = -4 + f. Factor 4/7*i**2 + 2/7*i**h + 2/7*i + 0.
2*i*(i + 1)**2/7
Let h(u) be the second derivative of 50*u**5 + 0 - 80*u**3 - 125/2*u**6 + 14*u + 40*u**2 + 50*u**4. Solve h(m) = 0.
-2/3, 2/5
Let v(q) be the third derivative of 0*q + 0*q**3 - 1/48*q**4 - 2*q**2 + 7/240*q**5 + 0. Factor v(u).
u*(7*u - 2)/4
Let w(o) be the first derivative of -o**3/12 - 21*o**2/2 - 228. Solve w(u) = 0 for u.
-84, 0
Factor 3/2*r**3 - 24 + 30*r - 12*r**2.
3*(r - 4)*(r - 2)**2/2
Factor 16*s - 29*s**2 + 9*s**2 + 24*s**2.
4*s*(s + 4)
Let k(w) be the third derivative of -w**9/11340 + w**7/1890 - w**4/4 - 13*w**2. Let v(s) be the second derivative of k(s). Solve v(h) = 0 for h.
-1, 0, 1
Suppose -12*k = 12*k - 5*k. Factor 0*h - 4/3*h**3 - h**2 + k - 1/3*h**4.
-h**2*(h + 1)*(h + 3)/3
Let z(b) be the second derivative of 2*b**7/3 - 43*b**6/30 - 39*b**5/20 + 7*b**4/3 - 2*b**3/3 - 26*b + 3. Find c such that z(c) = 0.
-1, 0, 1/4, 2/7, 2
Let s = 62 - 37. Let x = s + -23. Factor 25*y + 0 + 27*y**3 - 21*y**x - 5 - 12*y**3 - 14*y**2.
5*(y - 1)**2*(3*y - 1)
Let o be (-93)/(-62) - 5/(-2). Let p(x) be the first derivative of 0*x**3 - 1/2*x**o + 0*x + x**2 - 6. Factor p(m).
-2*m*(m - 1)*(m + 1)
Let j be 15/(-315)*(-1 - 3). Let m(q) be the second derivative of 0 + 4/7*q**2 + 1/42*q**4 - j*q**3 + 3*q. Factor m(r).
2*(r - 2)**2/7
Let d(v) = 6*v**2 - 104*v - 104. Let a(y) = -20*y**2 + 314*y + 313. Let z(n) = -2*a(n) - 7*d(n). Let z(r) = 0. What is r?
-1, 51
Let a = -2112 + 401283/190. Let w(t) be the second derivative of 1/19*t**2 - 11*t + 0 - 2/285*t**6 - a*t**5 + 1/19*t**3 + 1/114*t**4. What is k in w(k) = 0?
-1, -1/2, 1
Factor -32/9*i**2 - 8/9 + 2/3*i**3 + 34/9*i.
2*(i - 4)*(i - 1)*(3*i - 1)/9
Factor 2/3*g**4 - 2/3*g**2 + 2/3*g**3 + 0 - 2/3*g.
2*g*(g - 1)*(g + 1)**2/3
Suppose -13*w - 623 = -20*w. Suppose 189*h**2 + 4*h**3 + 1452*h - 146*h**2 + w*h**2 - 2102 + 7426 = 0. What is h?
-11
Let c(x) be the third derivative of 1/15*x**5 + 10*x**2 - 1/84*x**8 - 2/105*x**7 + 0*x**4 + 0*x + 0*x**3 + 1/30*x**6 + 0. Factor c(q).
-4*q**2*(q - 1)*(q + 1)**2
Let f(u) be the third derivative of -u**8/224 + 3*u**7/70 + 3*u**6/10 + 13*u**5/20 + 9*u**4/16 - 3*u**2 - 51*u. Factor f(r).
-3*r*(r - 9)*(r + 1)**3/2
Let m(v) be the third derivative of 10*v**2 - 1/8*v**3 + 0*v - 5/32*v**4 - 1/20*v**5 + 0. Suppose m(j) = 0. What is j?
-1, -1/4
Let t(a) be the first derivative of -46*a**3/33 - 2*a**2/11 + 92. Solve t(b) = 0.
-2/23, 0
Factor 2116/7*s**3 - 4600/7*s**2 - 32/7 + 752/7*s.
4*(s - 2)*(23*s - 2)**2/7
Let n(s) = -s**3 - s - 1. Suppose -7 + 4 = 3*a. Let r(p) = 20*p**3 + 5*p**2 + 30*p + 20. Let k(i) = a*r(i) - 25*n(i). Solve k(f) = 0.
-1, 1
Let q(x) be the first derivative of -3/5*x**5 + 11 + 3/4*x**4 + 0*x + 0*x**2 + x**3 - 1/2*x**6. Factor q(y).
-3*y**2*(y - 1)*(y + 1)**2
Let z = -2/1375 - -1381/4125. Factor 2/3*n - z*n**2 + 0.
-n*(n - 2)/3
Let l(s) be the first derivative of s**4/36 - s**3/9 + s**2/6 - 8*s + 4. Let f(r) be the first derivative of l(r). Suppose f(d) = 0. Calculate d.
1
Let p(g) be the first derivative of -g**5 - 35*g**4/4 - 80*g**3/3 - 30*g**2 - 438. Factor p(h).
-5*h*(h + 2)**2*(h + 3)
Let y(p) be the first derivative of -p**5/330 - p**4/132 + 19*p**2/2 - 2. Let m(a) be the second derivative of y(a). Factor m(j).
-2*j*(j + 1)/11
Solve 8/3 + 2/15*b**5 - 44/15*b**2 + 38/15*b - 8/3*b**3 + 4/15*b**4 = 0.
-5, -1, 1, 4
Let i(y) = -y**3 + 15*y**2 + 16*y + 12. Let x be i(16). Suppose -21 + 12*j - 3*j**2 - 14 - x + 38 = 0. Calculate j.
1, 3
Factor -71*x**3 - 64*x - 92*x**2 + x**4 - 68*x + 59*x**3 + 3*x**4 - 59 + 3.
4*(x - 7)*(x + 1)**2*(x + 2)
Let j(l) be the second derivative of 2/3*l**3 + 0*l**4 - 1/30*l**6 + 0*l**2 + 23*l - 3/20*l**5 + 0. Factor j(t).
-t*(t - 1)*(t + 2)**2
Suppose 14 = -3*j + 122. Let g = 39 - j. Factor 1/2*q - q**2 + 1/2*q**g + 0.
q*(q - 1)**2/2
Let p(r) be the first derivative of 2/3*r**3 - 4/5*r**5 + 2*r + 1/6*r**6 - 5/2*r**2 - 12 + r**4. What is h in p(h) = 0?
-1, 1, 2
Let b(v) be the first derivative of -v**3/3 - 4*v**2 - 5*v - 8. Let u be b(-7). Factor 21*f + 15*f**3 - 2*f**4 - 25*f**u - 6 - 2*f**2 - f**4.
-3*(f - 2)*(f - 1)**3
Let g(j) be the third derivative of -3*j**6/200 + j**5/12 + 7*j**4/20 + 4*j**3/15 - 7*j**2 + 1. Suppose g(z) = 0. What is z?
-1, -2/9, 4
Let g(t) be the third derivative of t**7/1260 + t**6/144 + t**5/72 - 5*t**4/144 - t**3/6 - 28*t**2. Suppose g(k) = 0. What is k?
-3, -2, -1, 1
Let p = -397 - -685. Let v = p + -1439/5. Factor -v*y + 0 + 1/5*y**2.
y*(y - 1)/5
Suppose 39/2 + 9/2*u**3 + 57/2*u**2 + 87/2*u = 0. What is u?
-13/3, -1
Suppose -29 = -3*n - 34*v + 38*v, 22 = 4*n - 2*v. Let m(g) be the second derivative of -25/6*g**3 + 0 + 5/3*g**4 - n*g + 5*g**2 - 1/4*g**5. Factor m(f).
-5*(f - 2)*(f - 1)**2
Let b be -4 + 1 + 69 - 0. Suppose -p + b = 10*p. Let p*n - 3/2*n**2 - 9/2 = 0. Calculate n.
1, 3
Suppose -3*l + 38 = -5*m, -4*l + 0*m + 4*m = -40. Let q be (-4)/8*(l + -7). Suppose -3/2*w**3 + 0 - 3/2*w**2 - q*w**4 - 1/2*w = 0. Calculate w.
-1, 0
Let y = -1217/1290 + 42/43. Let z(q) be the second derivative of -3/10*q**5 + 0 + 13/12*q**4 + 2*q - 2*q**3 + y*q**6 + 2*q**2. Solve z(f) = 0 for f.
1, 2
Suppose -5*t + 5*s + 44 = -21, 0 = -3*t - 4*s + 25. Let a = -7 + t. Determine z so that -1/3*z**5 + z**a - 11/3*z**2 - 4/3 + 1/3*z**3 + 4*z = 0.
-2, 1, 2
Find g, given that 2584/5*g + 2312/5 + 2/5*g**4 + 76/5*g**3 + 858/5*g**2 = 0.
-17, -2
Let w = 477 - 1426/3. Factor 5/3*y**2 - w + 5/3*y**3 - 5/3*y.
5*(y - 1)*(y + 1)**2/3
Let c be 7/3*8/28*(-6)/(-10). Let b(y) = y - 2. Let h be b(2). Find s, given that h*s + 12/5*s**3 - 18/5*s**4 + 0 - c*s**2 = 0.
0, 1/3
Factor -45*p - 55*p**3 + 23*p**3 - 163*p - 34*p**2 - 2*p**2 + 36*p**3.
4*p*(p - 13)*(p + 4)
Factor -65*k**2 + 12*k**2 - 646*k - 21*k**2 + 1193 - 2*k**3 - 471.
-2*(k - 1)*(k + 19)**2
Let m(a) = -4*a**2 - 14*a - 18. Let r(d) = 9*d**2 + 12*d**2 - 9*d**2 + 55 + 43*d. Let x(v) = 17*m(v) + 6*r(v). Factor x(i).
4*(i + 2)*(i + 3)
Let k(z) be the second derivative of z**7/42 - 29*z**6/30 - 61*z**5/20 - 31*z**4/12 - 395*z. Solve k(p) = 0.
-1, 0, 31
Let l(r) be the first derivative of r**6/18 - 2*r**5/15 + 2*r**3/9 - r**2/6 + 263. What is z in l(z) = 0?
-1, 0, 1
Let r = -15 - -30. Suppose z + 4*z - r = 0, 5*y - 18 = -z. Suppose 12 - 9*f**2 + 0*f + f + 3*f**y - f = 0. What is f?
-1, 2
Find f such that -32/21*f - 38/21*f**2 - 2/21*f**4 - 2/21*f**5 + 34/21*f**3 + 40/21 = 0.
-5, -1, 1, 2
Suppose 38 + 28 = 22*l. Factor 2*n - 17/3*n**2 - n**4 + 0 + 14/3*n**l.
-n*(n - 3)*(n - 1)*(3*n - 2)/3
Let d = -1706 - -204721/120. Let m(j) be the third derivative of 1/48*j**4 + 0 - j**2 + 0*j - d*j**5 + 0*j**3. Determine w so that m(w) = 0.
0, 1
Let l(d) = 6*d**2 - d**2 - d - 4*d**2. Let n(c) = -9*c**3 - 13*c**2 - 8*c + c - 7*c + 3 + 9*c. Let y(u) = 2*l(u) - n(u). Let y(q) = 0. Calculate q.
-1, 1/3
Factor 41*n**2 + 312*n - 18*n**3 + 4*n**2 - 3*n**4 - 336*n.
-3*n*(n - 1)**2*(n 