0. Calculate h.
-10, 0, 1
Let w(n) be the second derivative of n**7/630 - n**6/60 + 13*n**5/180 - n**4/6 + 2*n**3/9 - 4*n**2 + 6*n. Let q(p) be the first derivative of w(p). Factor q(z).
(z - 2)**2*(z - 1)**2/3
Let a = 9600/67151 + -1/9593. Factor -a*v**2 - 25/7 - 10/7*v.
-(v + 5)**2/7
Let w(t) be the third derivative of -t**7/840 - t**6/240 + t**5/48 + t**4/16 - 140*t**2. Find r such that w(r) = 0.
-3, -1, 0, 2
Suppose 14*h + 19 - 131 = 0. Let b(c) be the second derivative of -1/48*c**4 + 1/12*c**3 + 0*c**2 - 1/80*c**5 + h*c + 0. Factor b(w).
-w*(w - 1)*(w + 2)/4
What is m in 170*m**2 - 34*m**3 - 250*m + 81*m**4 + 180 - 79*m**4 - 68*m = 0?
1, 3, 10
Suppose 0*w + 11 = 2*w - 3*g, -4*w = 2*g + 18. Let i be w + 6 + 1/((-2)/4). Find q, given that -i + 3*q - 3/2*q**2 + 1/4*q**3 = 0.
2
Suppose w = 5*w + j - 64, -48 = -3*w + 5*j. Let g = w + -13. Factor 19 + 9 - 44 - 4*f**g - 32*f - 20*f**2.
-4*(f + 1)*(f + 2)**2
Let v(m) be the first derivative of -2/3*m**3 + 5*m + 9/4*m**4 - 5/2*m**2 + 7. Let a(r) = -r**3 + r**2 + r - 1. Let s(w) = 5*a(w) + v(w). Solve s(g) = 0.
-3/4, 0
Suppose 2*n - 5*n + 9 = 0. Solve -6*r + 2*r**n - r**4 + 6*r - 2*r + r**2 = 0 for r.
-1, 0, 1, 2
Let j(m) be the second derivative of -1/5*m**5 + 1/2*m**3 + 5/2*m**2 + 3/8*m**4 + 0 + 5*m. Let y(p) be the first derivative of j(p). Factor y(s).
-3*(s - 1)*(4*s + 1)
Factor 0 - 16/5*o + 4/5*o**3 - 12/5*o**2.
4*o*(o - 4)*(o + 1)/5
Let k(s) = -s**2 - 12*s - 17. Let i be k(-10). Solve 53*q**5 - 5*q - 21*q**5 - 19*q**5 - 18*q**5 + 10*q**i = 0 for q.
-1, 0, 1
Let o(x) be the third derivative of 0*x + 1/30*x**5 + 0 + 1/2*x**4 + 5/3*x**3 - 8*x**2. Factor o(m).
2*(m + 1)*(m + 5)
Let a(k) = -84*k**2 - 1 - k**3 + 84*k**2. Let t(v) = 10*v**3 - 2*v**2 - v + 11. Let g(p) = -22*a(p) - 2*t(p). Determine r, given that g(r) = 0.
-1, 0
Let r(v) = 4 + 5 - 5*v - 9*v**2 - 5. Let m(n) be the third derivative of 2*n**5/15 + n**4/6 - 2*n**3/3 - 96*n**2. Let g(s) = -5*m(s) - 4*r(s). Factor g(h).
-4*(h - 1)*(h + 1)
What is j in -14*j**4 - 2641*j + 11*j**4 - 11*j**4 - 900 - 19*j**3 - 1289*j + 421*j**3 - 2614*j**2 = 0?
-1, -2/7, 15
Let j be (3 + 549/(-189))*14/8. Let 0 - 5/6*p**3 + 1/2*p**2 + j*p**4 + 3/2*p = 0. What is p?
-1, 0, 3
Let a = -62 + 65. Suppose -a*m = m + 3*g - 9, 4*m - 4*g = -12. Suppose -4/5*o - 2/5*o**2 + m = 0. What is o?
-2, 0
Suppose -3*o + 7 = -17. Let x be 7 + o*1/(-2). Suppose 0 - 9/5*l**5 - 3/5*l**2 + 0*l - 3/5*l**3 + x*l**4 = 0. What is l?
-1/3, 0, 1
Suppose -7/10*s**5 + 9/10*s**2 + 0 + 1/2*s**3 + 1/5*s - 9/10*s**4 = 0. Calculate s.
-1, -2/7, 0, 1
Let b(o) = o**2 - o - 4. Let u be b(-2). Let t = 29/10 + -5/2. Solve 0 + t*z - 3/5*z**u + 1/5*z**3 = 0.
0, 1, 2
Let g(v) = -7*v**2 + 33*v - 23. Let t(a) = a**3 + 21*a**2 - 100*a + 68. Let u(s) = -8*g(s) - 3*t(s). Factor u(n).
-(n - 2)*(n + 5)*(3*n - 2)
Let k(v) be the third derivative of v**7/280 - v**6/48 + v**5/20 + 19*v**4/24 + 26*v**2. Let p(n) be the second derivative of k(n). Factor p(i).
3*(i - 1)*(3*i - 2)
Suppose 0 = -5*s - 5*c + 135, 0 = c - 0 - 3. Let f be (6/40)/(-1 + s/20). Suppose 0*g + 0*g**3 + f*g**4 - 3/2*g**2 + 3/4 = 0. Calculate g.
-1, 1
Let y(r) = -2*r**2 + 2*r - 3. Let o(a) = a**2 - 2*a + 3. Let f = 31 + -19. Suppose 2*b + 2*b = -f. Let d(c) = b*o(c) - 2*y(c). Determine m, given that d(m) = 0.
-3, 1
Let 0*k - 61*k**3 - k - 11*k**2 + 11 + 62*k**3 = 0. What is k?
-1, 1, 11
Let b(g) be the third derivative of -9*g**6/20 + 72*g**5/5 - 192*g**4 + 4096*g**3/3 + 79*g**2. Suppose b(l) = 0. Calculate l.
16/3
Let y be (-2 - (-16)/14)/(90/(-28)). Let s = y + -1/15. Factor 2/5*j + s*j**2 + 0.
j*(j + 2)/5
Let s(m) be the second derivative of -m**5/10 + 179*m**4/6 - 8099*m**3/3 + 7921*m**2 - 14*m. Find i such that s(i) = 0.
1, 89
Factor -57787 - 2166*b**2 - b**4 + 36*b**3 - 72534 + 40*b**3 + 27436*b.
-(b - 19)**4
Let i(w) be the third derivative of -7*w**2 + 0*w**3 + 1/14*w**7 - 2/5*w**5 + 0 + 1/2*w**4 + 0*w - 7/40*w**6. Factor i(r).
3*r*(r - 2)*(r + 1)*(5*r - 2)
Suppose 0 = 2*v - 4 - 6. Factor 0*q + v*q**3 - 48 - 4*q**4 + 44*q**2 + 13*q**3 - 8*q + 0*q**5 - 2*q**5.
-2*(q - 3)*(q - 1)*(q + 2)**3
Let h(r) be the third derivative of r**7/1365 - r**6/780 - 2*r**5/65 + 7*r**4/39 - 16*r**3/39 - r**2 - 25. Suppose h(d) = 0. Calculate d.
-4, 1, 2
Let k(s) = -2*s**2 - 10*s - 27. Let f(n) = -n**2 - 6*n - 14. Let u(j) = -5*f(j) + 2*k(j). What is w in u(w) = 0?
-8, -2
Factor 3/5*m**2 - 39/5*m + 0.
3*m*(m - 13)/5
Suppose -5*q + 7 = -18. Determine a so that -5*a**4 + 6*a**3 + 2*a**2 + 2*a**5 + 0*a**3 + 6*a**4 + q*a**4 = 0.
-1, 0
Suppose -2*v + 5 = -5. Find l such that 4*l**3 - 9*l**3 - 15*l**4 - 9*l**2 + 0*l**4 - 3*l**v - 16*l**3 = 0.
-3, -1, 0
Let f(p) = -4*p + 4. Let j be f(3). Let x be j/(-12) - 13/(-3). Factor -11*z**5 - 5*z**x + 18*z**5 - 2*z**4.
2*z**4*(z - 1)
Factor 0*y**3 + 1/9*y**5 + 0*y**2 + 0 + 0*y**4 + 0*y.
y**5/9
Factor -290*x**2 - 34*x**3 - 34*x**3 - 30*x**4 - 72 - 240*x - 2*x**5 - 22*x**3 - 60*x**3.
-2*(x + 1)**3*(x + 6)**2
Let q(m) = 3*m + 9. Let x be q(-3). Suppose x = -4*r + b - 2, -3*r - 2*b + 4 = 2*r. Find c such that -5*c**2 + c**3 - 2*c**3 + r*c**3 - 4*c + c + c**4 = 0.
-1, 0, 3
Let v = 827 + -386. Solve 723 + v*h - 81 + 3*h**3 + 636 + 63*h**2 - 249 = 0 for h.
-7
Let r = -23 - -54. Let x = r + -29. Factor 4*j**3 - 12 + 0*j**x - 21*j**2 + j**2 + 28*j.
4*(j - 3)*(j - 1)**2
Suppose -4*o = -5*x - 10, x + 9 = -2*x + 3*o. Suppose 5 + 4 = 3*h. Factor -9*t**x - 3*t**4 + 9*t - 6*t**3 - 3*t**h - 12*t.
-3*t*(t + 1)**3
Let c be 4 - 0 - (30 + -26). Suppose c - 2/11*s**5 + 0*s**3 + 0*s + 4/11*s**4 + 0*s**2 = 0. What is s?
0, 2
Let t(z) be the second derivative of 0*z**2 + 5/4*z**4 + 0 + 5/6*z**3 + 24*z. Solve t(k) = 0.
-1/3, 0
Let f be (32/6)/((-32)/48) - -10. Find u, given that -3/2 + 5/4*u - 1/4*u**f = 0.
2, 3
Let z(v) be the third derivative of -v**5/20 - 13*v**4/2 - 338*v**3 + 45*v**2 + 2*v. Factor z(n).
-3*(n + 26)**2
Let v(l) be the second derivative of -l**6/195 - 11*l**5/130 - 15*l**4/26 - 27*l**3/13 - 54*l**2/13 - 293*l. Let v(b) = 0. Calculate b.
-3, -2
Let k be (-542)/9 + 8/36. Let u = -42 - k. Factor 11*a**2 - u*a**2 + 4*a**4 - 9*a**2.
4*a**2*(a - 2)*(a + 2)
Let m(j) be the third derivative of 2*j**7/105 - 4*j**6/5 + 54*j**5/5 - 1458*j**3 + 19*j**2. Factor m(g).
4*(g - 9)**3*(g + 3)
Let r(y) be the second derivative of y**5/40 - y**3/3 + 4*y + 6. Find x such that r(x) = 0.
-2, 0, 2
Let h(q) be the third derivative of q**8/151200 - q**7/18900 + q**5/10 - 10*q**2. Let x(a) be the third derivative of h(a). Solve x(t) = 0 for t.
0, 2
Suppose 0 = -3*a + 5*z - 19, -5*z = 3*a - 2*z - 21. Let c be (-13)/(-13)*8/a. Solve 0*r + 0*r**2 + 0 + 4/3*r**c + 1/3*r**3 = 0.
-1/4, 0
Let o = -4/801 - -1630/5607. Suppose 5*x + 2*r + 10 = 0, 22 = 3*x - 5*r - 3. Find k such that x - o*k**3 + 0*k + 0*k**2 = 0.
0
Let b be ((-1)/2*0)/(-2). Let j = 10070 + -10068. Let 0*x + b + 4/9*x**j + 10/9*x**3 = 0. Calculate x.
-2/5, 0
Determine o, given that 36 - 92*o - 120*o**2 - 2*o**4 + 24*o**2 - 26*o**3 - 66 - 10*o**3 = 0.
-15, -1
Suppose 43*a = 41*a - 48. Let i be 1 - 4*6/a. Find b, given that 2*b - 4/3 - 2/3*b**i = 0.
1, 2
Let m(s) be the second derivative of -19*s + 1/12*s**2 - 1/36*s**4 + 1/36*s**3 + 0 + 1/252*s**7 - 1/60*s**5 + 1/180*s**6. Determine k so that m(k) = 0.
-1, 1
Solve u**5 - 6*u**3 + 10*u**2 - 4*u**4 - 9*u**3 + 8*u**3 = 0 for u.
-2, 0, 1, 5
Determine p, given that 0 + 2/7*p**4 - 2/7*p**2 + 32/7*p - 32/7*p**3 = 0.
-1, 0, 1, 16
Let w(z) be the third derivative of z**6/600 + z**5/300 - z**4/120 - z**3/30 + 9*z**2 - 6*z. Factor w(d).
(d - 1)*(d + 1)**2/5
Let w = -194 + 138. Let t = w + 60. Suppose -4/5 + 3/5*s**2 + 13/5*s**t + 3/5*s**5 + 17/5*s**3 - 8/5*s = 0. What is s?
-2, -1, 2/3
Let g(j) be the first derivative of 4*j**5 - 32*j**4 + 100*j**3 - 152*j**2 + 112*j - 190. Factor g(k).
4*(k - 2)**2*(k - 1)*(5*k - 7)
Suppose -2*o = -2*s + 2*o - 20, 5*s + 5*o = 25. Suppose 1/5*a**3 - 1/5*a**5 + 0 + 0*a**4 + 0*a**2 + s*a = 0. Calculate a.
-1, 0, 1
Let d be 19/(190/12)*30/9. Let p(a) be the second derivative of d*a + 1/7*a**2 + 0 - 2/21*a**3 + 1/42*a**4. Let p(y) = 0. Calculate y.
1
Let r = -5 - -31. Let a be (-108)/(-26) + (-4)/r. Suppose -3*h**2 + 2*h**2 - 4 + a + 2*h - 1 = 0. What is h?
1
Suppose -3*q - 176 = -q. Let n = 90 + q. Factor -2/3 - 1/3*r**n + 