, 1
Suppose -29 + 9 = -4*u. Suppose u*q - 2*y = 16, 2*q + 0*y - 5*y = 19. Factor 3/2*m**q + 24 - 12*m.
3*(m - 4)**2/2
Let o = -11 - -15. Factor 42*v**3 + 121*v**o - 404*v**2 + 408*v**2 + 2*v**3.
v**2*(11*v + 2)**2
Let h = 694 + -56215/81. Let c = 26/81 - h. Let -1/6*s - c*s**2 - 1/6*s**3 + 0 = 0. Calculate s.
-1, 0
Let t be (-27)/(-12) - (-7)/(-28). Factor 4*b**5 - 4*b + 3*b + 5*b + 8*b**t - 8*b**3 - 4*b**4 - 4.
4*(b - 1)**3*(b + 1)**2
Suppose -2*s + 2 + 34 = 0. Let g = s + -16. Factor 10*p - g + 3*p**2 - 16*p + 5.
3*(p - 1)**2
Let o be 52/60 + (-12)/18. Let t be 2/(-3)*(-54)/12. Factor o*s**2 - 1/5*s**t + 1/5*s + 0 - 1/5*s**4.
-s*(s - 1)*(s + 1)**2/5
Suppose -3*s - 4*t + 3 = 7, 8 = 3*s + t. Let w be (-26)/(-6) - s/12. Factor 2*m**3 + 6*m**2 + 5*m**w + 7*m**3 - 2*m**4.
3*m**2*(m + 1)*(m + 2)
Let q be 72/27*(-9)/(-12). Let w(b) be the first derivative of -2/5*b**q - 1 + 3/5*b + 1/15*b**3. Let w(h) = 0. Calculate h.
1, 3
Let z be 1/2*(25 - 1). Let t = 12 - 6. Determine h, given that 0*h - h - 6 - t*h**2 + z*h + 4*h = 0.
1/2, 2
Suppose -3*d - 3*t + 18 = 0, -106*d - 12 = -101*d - 2*t. Factor -2/5*h**3 - 2/5*h - 4/5*h**2 + d.
-2*h*(h + 1)**2/5
Let q(u) = -6*u**4 + 4*u**3 + 10*u**2 - 12*u + 8. Let n(p) = p**4 - p**2 - p. Let z(a) = 4*n(a) + q(a). Factor z(t).
-2*(t - 2)*(t - 1)**2*(t + 2)
Let h(v) be the second derivative of v**5/25 - 27*v**4/5 + 1458*v**3/5 - 39366*v**2/5 - 183*v. Factor h(o).
4*(o - 27)**3/5
Let f = 86 - 134. Let z be (-3)/(-9) + f/(-18). Find h such that -10 + 6*h**2 + 4 + h - 7*h**3 + h + 5*h**z = 0.
-1, 1, 3
Suppose -2*n + 52*n**2 + 2*n**4 + n**5 - 2*n**3 - 25*n**3 - 26*n = 0. Calculate n.
-7, 0, 1, 2
Let a(d) = -d - 2. Let t be ((-8)/(-12 - 4))/((-1)/8). Let p be a(t). Suppose 4*g**p + 20/3*g**3 + 0 - 8/3*g = 0. Calculate g.
-1, 0, 2/5
Let t(v) be the first derivative of -v**6/10 + 3*v**5/5 + 9*v**4/2 - 54*v**3 + 405*v**2/2 - 1701*v/5 - 245. Factor t(i).
-3*(i - 3)**4*(i + 7)/5
Let x be ((-8)/(-16) - 118/(-84))/(150/175). Solve 38/9*o - 4/9*o**2 + x = 0 for o.
-1/2, 10
Let h(u) be the second derivative of u**6/15 + 2*u**5/5 + u**4/2 - 4*u**3/3 - 4*u**2 - 265*u + 2. Factor h(q).
2*(q - 1)*(q + 1)*(q + 2)**2
Let b(o) be the second derivative of 2*o**6/15 + o**5 - 13*o**4/3 + 14*o**3/3 + 8*o + 1. Factor b(n).
4*n*(n - 1)**2*(n + 7)
Let o(w) be the first derivative of -w**6/840 + w**5/70 - 3*w**4/56 - 2*w**3/3 + 7. Let s(j) be the third derivative of o(j). Factor s(n).
-3*(n - 3)*(n - 1)/7
Let b(q) be the first derivative of -2/3*q**3 + 0*q**2 + 0*q - 1/5*q**5 + 3/4*q**4 + 4. Factor b(y).
-y**2*(y - 2)*(y - 1)
Suppose -2*k = -14*k - 10*k. Let g(n) be the third derivative of -1/105*n**7 - 1/6*n**4 + k*n**3 + 0 + 1/30*n**6 + 0*n + 1/30*n**5 + 7*n**2. Solve g(q) = 0.
-1, 0, 1, 2
Let p(d) be the second derivative of 0*d**2 - 1/90*d**4 - 1/45*d**3 + 0 + 2*d. Determine u so that p(u) = 0.
-1, 0
Let b(j) be the first derivative of 0*j + 0*j**2 + j**3 - 38 + 9/2*j**4 + 27/5*j**5. Let b(c) = 0. What is c?
-1/3, 0
Let f(r) be the first derivative of 2*r**2 + 4*r + 18 + 1/3*r**3. Factor f(p).
(p + 2)**2
Let l(v) be the third derivative of 22*v**2 + 17/280*v**6 - 1/98*v**7 - 3/70*v**5 + 0*v**4 + 0*v + 0 + 0*v**3. Factor l(i).
-3*i**2*(i - 3)*(5*i - 2)/7
Let f(k) = k**2 + 3*k - 27. Let g be f(-11). Let -g*b**3 + 123*b**3 - 65*b**3 - 15*b**2 = 0. Calculate b.
-5, 0
Let b(j) be the third derivative of -10*j**2 + 0 + 0*j + 0*j**6 - 1/6*j**5 + 1/42*j**7 + 5/6*j**3 + 0*j**4. Factor b(m).
5*(m - 1)**2*(m + 1)**2
Let v(a) = a**2 - 25*a + 117. Let y be v(6). Let r(l) be the second derivative of y*l - 1/18*l**4 + 0 - 3*l**2 + 2/3*l**3. Factor r(f).
-2*(f - 3)**2/3
Let x(b) be the third derivative of 0 + 0*b + 3/70*b**5 - 1/105*b**6 + 0*b**3 + 9*b**2 - 1/42*b**4. Factor x(w).
-2*w*(w - 2)*(4*w - 1)/7
Let t(z) be the second derivative of 2*z**6/15 - z**5/5 - z**4 + 10*z**3/3 - 4*z**2 - 84*z. Determine k, given that t(k) = 0.
-2, 1
Let a(r) be the second derivative of r**4/48 + 7*r**3/8 + 19*r**2/4 - 684*r. Factor a(h).
(h + 2)*(h + 19)/4
Let r(q) be the first derivative of -4/3*q**3 - 24 + 10*q**2 + 24*q. Factor r(o).
-4*(o - 6)*(o + 1)
Determine j, given that 152*j - 37*j**5 + 6*j**2 + 30*j**2 - 304*j**3 - j**5 + 32 + 13*j**5 - 23*j**5 - 268*j**4 = 0.
-4, -1, -1/4, 2/3
Let a be ((-24)/14 + 2)/(110/330). Let 0 - 3/7*c**2 + a*c - 3/7*c**3 = 0. Calculate c.
-2, 0, 1
Let j(m) = 5*m + 11 + 0*m + 5*m - 7*m. Let p be j(-3). Factor 2/9*n**4 + 8/9 + 4/3*n**3 + 8/3*n + 26/9*n**p.
2*(n + 1)**2*(n + 2)**2/9
Determine u, given that 18/7*u - 12/7*u**2 - 8/7 + 2/7*u**3 = 0.
1, 4
Let s(h) be the first derivative of 2*h**5/5 + 19*h**4/2 + 12*h**3 - 784. Solve s(y) = 0.
-18, -1, 0
Let r(o) be the third derivative of -5*o**8/336 + 9*o**7/70 - 3*o**6/8 + 29*o**5/60 - o**4/4 - o**2 - 290*o. Determine d so that r(d) = 0.
0, 2/5, 1, 3
Let n(r) = -r**3 + 13*r**2 - 11*r - 9. Let x be n(12). Suppose x*s + 3*q = 2*s + 18, 2*s = -3*q + 21. Solve 1/4 + 1/4*t**s - 1/4*t - 1/4*t**2 = 0.
-1, 1
Let c = -296/9 + 1489/45. Let g(v) be the first derivative of -c*v**2 + 2/45*v**3 + 0*v - 9. Let g(d) = 0. Calculate d.
0, 3
Factor 12675/7 + 390/7*c + 3/7*c**2.
3*(c + 65)**2/7
Let z(f) = -f**2 + 40*f + 148. Let s(u) = 9*u**2 - 318*u - 1185. Let q(a) = 4*s(a) + 33*z(a). Suppose q(y) = 0. What is y?
-12, -4
Let k = -50 - -36. Let t(j) = j + 14. Let r be t(k). Factor 0 + 1/2*p**5 - 1/2*p**3 + r*p**2 + 0*p**4 + 0*p.
p**3*(p - 1)*(p + 1)/2
Suppose 7*m = 29*m - 66. Let s(l) be the first derivative of -1/3*l**m + 0*l**2 + 0*l + 3. Let s(i) = 0. Calculate i.
0
What is g in -23699*g - g**2 - 4*g**4 + 13*g**2 - 8 + 23703*g - 4*g**3 = 0?
-2, -1, 1
Let l be 1/(-10) + 7618/78780. Let a = l + 539/101. Factor -8/3*w**2 + a*w + 0 + 1/3*w**3.
w*(w - 4)**2/3
Let t(i) = 14*i**3 + 92*i**2 - 182*i + 92. Let s(p) = -11*p**3 - 91*p**2 + 182*p - 92. Let v(c) = -4*s(c) - 3*t(c). What is f in v(f) = 0?
-46, 1
Let u(y) be the first derivative of -2*y**5/5 + 12*y**4 - 46*y**3/3 - 568. Factor u(c).
-2*c**2*(c - 23)*(c - 1)
Factor 16 - u**3 + 7 - 13*u**2 - 6 + 7 - 12*u + 2*u.
-(u - 1)*(u + 2)*(u + 12)
Let t(o) be the first derivative of 10*o**3/3 - 17*o**2 + 24*o + 866. Factor t(j).
2*(j - 1)*(5*j - 12)
Let p(f) be the third derivative of f**5/120 + f**4/48 - f**3 - 6*f**2 + 4*f. Suppose p(y) = 0. Calculate y.
-4, 3
Determine k, given that 17/3*k**3 + 10/3*k**2 + 0 + 1/3*k**5 + 8/3*k**4 + 0*k = 0.
-5, -2, -1, 0
Find p, given that -p**5 - 20*p**3 + 467*p - 3*p**2 - 29*p**2 - 483*p - 8*p**4 - 4*p**3 = 0.
-2, 0
Suppose 26*x - 31*x = 15. Let p be (-4)/(-168)*x*-4. Factor -4/7*l**2 + 2/7*l**3 - p*l + 4/7.
2*(l - 2)*(l - 1)*(l + 1)/7
Let u = 7/395 - -1531/2765. Solve 0 + 0*k**2 - u*k**3 + 0*k = 0.
0
Factor 52*i**3 - 85*i**2 - 109*i**3 + 36*i - 186*i + 52*i**3.
-5*i*(i + 2)*(i + 15)
Let b = 79/152 - 3/152. Solve -13/8*p**4 + b*p**3 + 5/8*p**5 + 1/2*p**2 + 0 + 0*p = 0 for p.
-2/5, 0, 1, 2
Let n = -511 + 513. Let r(c) be the second derivative of 0 - 1/40*c**5 - 1/24*c**4 + n*c + 0*c**2 + 0*c**3. Let r(b) = 0. Calculate b.
-1, 0
Let f = 1772 - 1769. Solve 9/2 - 3/2*v - 5/2*v**2 - 1/2*v**f = 0 for v.
-3, 1
Let z(k) = 0*k**2 + 74 - 54 + 5*k**2 - 4*k**2 + 17*k. Let q be z(-16). Factor 11*o**2 - 56/3*o**3 + 28/3*o + 4/3 + 16/3*o**q.
(o - 2)**2*(4*o + 1)**2/3
Determine d, given that -2/13*d**2 + 174/13 - 4*d = 0.
-29, 3
Determine n, given that 18/7*n**3 + 0 + 8/7*n**4 + 12/7*n**2 + 2/7*n = 0.
-1, -1/4, 0
Let s be 4086/3384 + 4/94. Let z(l) be the second derivative of s*l**4 + 1/4*l**5 - 6*l + 0*l**2 + 5/3*l**3 + 0. Factor z(c).
5*c*(c + 1)*(c + 2)
Suppose -g - 140 = -3*m + 5*m, -341 = 5*m - 2*g. Let z be (6/8)/(m/(-184)). Factor 0*f**z + 2/3*f**3 + 4/3 - 2*f.
2*(f - 1)**2*(f + 2)/3
Let y(d) be the second derivative of -d**5/110 + 3*d**4/11 + d**3/33 - 18*d**2/11 - 5*d - 3. Factor y(r).
-2*(r - 18)*(r - 1)*(r + 1)/11
Let h be (2/(-9))/((-58)/(-126) + (-984)/1722). Find i such that -12/5*i**4 + 0*i + 0 - 8/5*i**h + 28/5*i**3 = 0.
0, 1/3, 2
Suppose -130*i**3 + 567*i**4 + 980*i**2 - 32*i**5 + 39 - 438*i - 999*i**4 + 13 = 0. What is i?
-13, -2, 1/4, 1
Let f(q) be the third derivative of -17*q**2 + 0*q + 9/40*q**4 - 1/2*q**3 + 0 + 1/50*q**5. Factor f(s).
3*(s + 5)*(2*s - 1)/5
Solve 2/13*w + 68/13 - 68/13*w**2 - 2/13*w**3 = 0.
-34, -1, 1
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