d + 1)
Let o(x) = 3*x**5 - x**4 - 4*x**3 - 2*x**2 + 2*x. Suppose 21*q - 22*q + 4 = 0. Let c(r) = -r**5 + r**3 + r**2 - r. Let y(j) = q*c(j) + 2*o(j). Factor y(h).
2*h**3*(h - 2)*(h + 1)
Let t(q) be the second derivative of 125*q**7/189 - 1180*q**6/27 + 232*q**5/3 - 1384*q**4/27 + 368*q**3/27 - q - 100. Solve t(y) = 0 for y.
0, 2/5, 46
Suppose 2*y**3 + 2*y**3 - 10*y**2 - 55*y**2 - 50 + 262*y**2 - 151*y = 0. Calculate y.
-50, -1/4, 1
Let w be 9/(18/(-4)) + (-52)/(-24). Let z(a) be the first derivative of -w*a**2 + 0*a + 1/3*a**3 + 2. Factor z(c).
c*(3*c - 1)/3
Let y = 7 - 5. Let b(c) = 3*c - c - 20*c**y - c + 21*c**2. Let x(z) = -4*z**2 - z. Let m(i) = 3*b(i) + x(i). Factor m(o).
-o*(o - 2)
Suppose 0 = z + y + 3, -6*z - 1 = -4*z + y. Suppose -12*t + 35 = 11. Factor -4*d**3 + d**t + z*d**4 - 3*d**2 - d + 5*d.
2*d*(d - 2)*(d - 1)*(d + 1)
Let q be 26/(-143) + ((-6216)/(-33))/2. Let c = q + -91. Find n such that -12/7*n - 4/7 - 3/7*n**2 + 5/7*n**c = 0.
-1, -2/5, 2
Let l be (-250)/(-5)*(275/330)/((-35)/(-9)). Solve -165/7*t**4 + 36/7 - l*t**5 - 24*t + 129/7*t**2 + 243/7*t**3 = 0 for t.
-3, -1, 2/5, 1
What is b in 10/17*b**4 - 10/17*b**2 + 0*b**3 - 4/17*b + 0 + 4/17*b**5 = 0?
-2, -1, -1/2, 0, 1
Factor -6*s**2 - 3 + 1 - 11 - 7 - 18 - 116*s.
-2*(s + 19)*(3*s + 1)
Let q be (2/4)/((-4)/(-88)). Factor -17 + 3*d + 3*d**2 + 0*d + q.
3*(d - 1)*(d + 2)
Let c = 9592 + -9588. Solve -18/11*n**3 + 12/11*n + 6/11*n**c - 6/11*n**2 + 0 + 6/11*n**5 = 0 for n.
-2, -1, 0, 1
Let g(d) = d**5 - 17*d**4 + 60*d**3 + 78*d**2 + 3*d. Let i(k) = -2*k**5 + 34*k**4 - 119*k**3 - 155*k**2 - 7*k. Let c(u) = 7*g(u) + 3*i(u). Factor c(v).
v**2*(v - 9)**2*(v + 1)
Let b(u) be the third derivative of u**5/150 - 7*u**4/30 - 32*u**3/15 - 121*u**2. Find h such that b(h) = 0.
-2, 16
Let h be 54/(-21) + 3/(-7) - -5. Let b(y) be the first derivative of -8/5*y**3 - 3 - 1/5*y**4 + 1/15*y**6 + 0*y + 6/25*y**5 - 8/5*y**h. Solve b(n) = 0.
-2, -1, 0, 2
Suppose 6/11*b**3 - 96/11*b**2 + 0*b + 0 = 0. Calculate b.
0, 16
Let s be 81/30 - 1/5. Let u = 104 + -104. Let -1/2*d**3 + d**4 - d + u - s*d**2 = 0. Calculate d.
-1, -1/2, 0, 2
Let q(o) be the second derivative of 1/30*o**5 - 1/45*o**6 - 1/63*o**7 + 1/18*o**4 + 0 - 22*o + 0*o**3 + 0*o**2. Determine i, given that q(i) = 0.
-1, 0, 1
Let y be 36/10*475/(-1520) + 6/4. Factor -3/4 - y*a**2 + 9/8*a.
-3*(a - 2)*(a - 1)/8
Find j, given that -2/9*j**2 - 32/9*j + 0 = 0.
-16, 0
Let f be (-4)/(-22) - 59420/(-495). Let m = f + -120. Factor 4/9*y**3 - 2/3*y - 4/9*y**2 - 2/9 + 2/3*y**4 + m*y**5.
2*(y - 1)*(y + 1)**4/9
Let h(d) = 2*d**2 - 2*d. Let v = -2 - 4. Let b(q) = -3*q**2 + 3*q. Let c = 10 - 20. Let g(u) = c*h(u) + v*b(u). Let g(k) = 0. Calculate k.
0, 1
Let j(x) = 3*x**3 + 2*x**3 - 3*x + 4*x**2 + 2*x. Let h(q) = -q**2 - q. Let n = -940 - -941. Let l(p) = n*j(p) - 6*h(p). Factor l(g).
5*g*(g + 1)**2
Suppose 15 = -44*v + 49*v. Determine w, given that -3*w**4 + 0*w**2 - 721*w**v + w**2 + 716*w**3 - 3*w**2 = 0.
-1, -2/3, 0
Factor -100/3*a**5 + 0*a + 0 - 8/3*a**2 + 76/3*a**3 - 160/3*a**4.
-4*a**2*(a + 2)*(5*a - 1)**2/3
Let z = 16622 + -16617. What is v in -6/5 - 14/5*v - 4/5*v**2 + 12/5*v**3 + 2*v**4 + 2/5*v**z = 0?
-3, -1, 1
Let o(j) be the first derivative of 1/45*j**6 + 1/3*j**2 - 1/9*j**4 + 0*j**3 + 5*j + 3 + 0*j**5. Let k(b) be the first derivative of o(b). Solve k(c) = 0.
-1, 1
Let v be ((-6)/(-5) - 0)*(-20)/(-6). Factor 47*o**v + 6*o**2 - 50*o**4 - 6*o + 3*o**2.
-3*o*(o - 1)**2*(o + 2)
Let i be ((-84)/(-27))/(-2)*12*7/(-56). Factor -i*v**3 + 5/3*v**2 + v**4 + 0 - 1/3*v.
v*(v - 1)**2*(3*v - 1)/3
Suppose 4*i - 19 = -11*h + 10*h, 3*i - 9 = h. Let s(y) be the second derivative of 0 + 1/42*y**4 + i*y + 2/7*y**2 - 1/7*y**3. Factor s(n).
2*(n - 2)*(n - 1)/7
Let a be (-264)/(-1540)*(78/9 - 4). Find i such that i**2 + 8/5*i + 1/5*i**3 + a = 0.
-2, -1
Let n = 16/105 + 106/21. Suppose 12/5*m**3 - 8/5 - 2/5*m**4 - n*m**2 + 24/5*m = 0. What is m?
1, 2
Let l = -16 + 14. Let h = 4 + l. Let -h*u**4 + 2*u**2 + 91 - 91 = 0. Calculate u.
-1, 0, 1
Let m be (-1)/(-7) - 117/(-126)*2. Let c(d) be the first derivative of -2*d + 5/16*d**4 - 1/2*d**m + 1/2*d**3 + 1/20*d**5 - 3. Factor c(s).
(s - 1)*(s + 2)**3/4
Let i(l) be the third derivative of 0*l**3 - 1/35*l**5 + 0*l - 10*l**2 - 1/420*l**6 - 3/28*l**4 + 0. Solve i(j) = 0.
-3, 0
Let a(g) be the third derivative of -6/35*g**6 + 16/735*g**7 + 0*g + 0 + 27/70*g**5 + 1/7*g**3 + 2*g**2 - 1/3*g**4. Find y such that a(y) = 0.
1/4, 1, 3
Let t be (1 + -3)*4 + 8. Let a(r) be the second derivative of 0*r**3 + 0*r**2 + t + 0*r**4 - 7*r + 3/40*r**5 + 1/20*r**6. Factor a(l).
3*l**3*(l + 1)/2
Let h = -12685/3 + 4132. Let o = h + 97. Factor -o*b**3 + 10/3*b - 2/3*b**2 - 2.
-2*(b - 1)**2*(b + 3)/3
Let m(s) be the second derivative of 4*s**6/3 + s**5 - 35*s**4/24 + 5*s**3/12 - 3*s - 1. Suppose m(x) = 0. Calculate x.
-1, 0, 1/4
Let g(o) be the third derivative of -2*o**7/105 - o**6/6 - 8*o**5/15 - 2*o**4/3 + 31*o**2. Factor g(m).
-4*m*(m + 1)*(m + 2)**2
Let c(h) be the third derivative of -21*h**2 + 0*h - 1/330*h**5 - 7/33*h**3 - 2/33*h**4 + 0. Factor c(a).
-2*(a + 1)*(a + 7)/11
Let f(b) be the first derivative of -4*b + 7/2*b**2 - 21 - 1/4*b**4 - 2/3*b**3. Find o, given that f(o) = 0.
-4, 1
Let b(s) = -2*s + 0*s**3 + s - 7*s**3 - 1 - s**4 + 6*s**3. Let q(u) = -7*u**4 - 7*u**3 + 9*u**2 + 11*u + 2. Let g(x) = 4*b(x) - q(x). Factor g(i).
3*(i - 2)*(i + 1)**3
Suppose 0 = -8*n + 5*n - 12. Let r be n + 0 + (-5 - -9) + 0. Factor 2*h - 2/3*h**2 + r.
-2*h*(h - 3)/3
Let b = 41 - 39. Factor -3*i + 11*i + 0*i + 4 + 2*i**b + 4.
2*(i + 2)**2
Suppose 0 = -1703*f + 1695*f + 32. Let r(k) be the second derivative of 1/6*k**f + 0*k**2 - 1/30*k**5 - 2/9*k**3 + 4*k + 0. Determine x, given that r(x) = 0.
0, 1, 2
Let c = -17 + 21. Let n(d) be the first derivative of -d**2 + 0*d - c + 1/3*d**3. Factor n(p).
p*(p - 2)
Factor 1/2*j**2 + 3/2 - 2*j.
(j - 3)*(j - 1)/2
Suppose z - 20 = -z + 3*a, -a - 8 = -z. Let i be (-20)/(-12) - 6/z. Factor -1/6*h**2 + 0 + i*h.
-h*(h - 1)/6
Let g be 342/(-228)*(-1)/12 + 0. Factor -1/4*b - 5/8*b**2 + 1 - g*b**3.
-(b - 1)*(b + 2)*(b + 4)/8
Let r be 4/(-24) + 4134/(-252). Let s = r - -594/35. What is h in 6/5*h + 0 - s*h**2 = 0?
0, 3
Let p(j) be the second derivative of -j**7/84 + j**6/30 + 3*j**5/40 - j**4/3 + j**3/3 + 127*j. Suppose p(w) = 0. What is w?
-2, 0, 1, 2
Let d = 578/127 - -18/889. Factor -d*z + 128/7 + 2/7*z**2.
2*(z - 8)**2/7
Let s(b) be the third derivative of -b**7/70 - b**6/8 - 7*b**5/20 - 3*b**4/8 - 6*b**2 - 2*b. Solve s(v) = 0 for v.
-3, -1, 0
Let p(m) = 5*m**2 + 60*m + 2. Let w be p(-12). Let f(a) be the second derivative of 0*a**w - 1/60*a**6 - a + 1/24*a**4 - 1/12*a**3 + 1/40*a**5 + 0. Factor f(l).
-l*(l - 1)**2*(l + 1)/2
Let f = 28 - 28. Factor -l**3 - 4*l**2 - 9*l + 0*l + f*l**3 + 5*l.
-l*(l + 2)**2
Let g = 8453/5 - 1689. Find t such that -g + 10*t**3 - 18*t**2 + 48/5*t = 0.
2/5, 1
Let p(v) be the third derivative of 0*v + 2/3*v**3 + 1/12*v**4 - 1/30*v**5 + 0 + 31*v**2. What is u in p(u) = 0?
-1, 2
Suppose 0 = 7*y + 63 - 77. Find q such that -3/2*q**y + 0 - 6*q = 0.
-4, 0
Let h(p) be the second derivative of 2*p**7/21 - 2*p**6/3 + 2*p**5/5 + 14*p**4/3 - 2*p**3 - 18*p**2 + 9*p - 3. Solve h(i) = 0.
-1, 1, 3
Let d(u) = 2*u**2 + u + 9. Let n be 14/(-12) + 6/36. Let a(c) = -c + 1. Let r(k) = n*d(k) + 5*a(k). Determine g so that r(g) = 0.
-2, -1
Let t be (1/2)/1*6. Suppose t*r + 3 - 18 = 0. Factor r*f + 2*f - 8*f**2 - f + 8 - 4*f**3 - 2*f.
-4*(f - 1)*(f + 1)*(f + 2)
Let v(m) = -m**3 + 4*m**2 - 4*m + 6. Let f be v(5). Let r(y) = y + 41. Let h be r(f). Factor 4/5*o + 0 + 2/5*o**h.
2*o*(o + 2)/5
Let c(q) = 19*q - 17. Let n be c(1). Let 8/7 + 4/7*o**5 + 8/7*o**n - 16/7*o**4 - 20/7*o + 16/7*o**3 = 0. What is o?
-1, 1, 2
Let o(v) be the second derivative of -12*v - 6*v**2 + 0 - 1/12*v**5 + 5/12*v**4 + 5/2*v**3. Let q(c) be the first derivative of o(c). Factor q(u).
-5*(u - 3)*(u + 1)
Let k be (-3)/((-12)/25) + (-9)/36. Suppose 5 = -k*m + 7*m. Find t such that -10/3*t**4 + 7/3*t**3 + 4/3*t**2 + t**m + 0 - 4/3*t = 0.
-2/3, 0, 1, 2
Let s(o) be the second derivative of o**6/90 - 2*o**5/15 + 7*o**3/6 - 13*o. Let m(l) be the second derivative of s(l). Determine v so that m(v) = 0.
0, 4
Let a(t) be the third derivative of 18*t**2 + 1/1