 = w - 31. Factor -4/5 + u*j**2 - 1/5*j**3 + 0*j.
-(j - 2)**2*(j + 1)/5
Let l be -6*-1*3/6. Suppose l*b - 6 - 6 = 0. Factor -4*m**2 + 22*m**4 + 18*m**b - 2*m**3 - 38*m**4.
2*m**2*(m - 2)*(m + 1)
Find z, given that -20*z - 72 + 34*z + 16*z - z**2 + 0 - 2*z**2 = 0.
4, 6
Let k be (0/(-2))/(-4 + 7). Let p be (1*2)/(1 - 0). Factor k - p*d**2 + 2/3*d**3 + 4/3*d.
2*d*(d - 2)*(d - 1)/3
Let z(n) = n**2 - n. Let p(o) = 7*o**2 - 13*o + 6. Let m(r) = -5*p(r) + 40*z(r). What is c in m(c) = 0?
-6, 1
Let p be 0 + (-4 + 6)*2. Suppose -2 = b + p*x, 6*b - 10*b + 11 = -3*x. Find z, given that 0 - 2/11*z + 2/11*z**b = 0.
0, 1
Let k(u) be the first derivative of -u**4/16 - u**3/4 - 3*u**2/8 + 29*u + 7. Let x(t) be the first derivative of k(t). Determine d so that x(d) = 0.
-1
Let 2/7*i**2 - 144/7*i + 2592/7 = 0. Calculate i.
36
Factor 32/7*u + 6/7*u**2 + 40/7.
2*(u + 2)*(3*u + 10)/7
Factor -57/2*m**2 - 15/2*m + 9/2 - 33/2*m**3.
-3*(m + 1)**2*(11*m - 3)/2
Let t be (-8)/6*36/(-6). Suppose -10*q + 22 + t = 0. Factor 2/11*w**q + 2/11*w + 0 + 4/11*w**2.
2*w*(w + 1)**2/11
Let y(x) = 9*x**2 - 890*x + 21902. Let u(q) = -9*q**2 + 891*q - 21901. Let t(p) = -2*u(p) - 3*y(p). Suppose t(i) = 0. Calculate i.
148/3
Let a(r) = -96*r + 676. Let g be a(7). Suppose 1/2*w**g + 7/2*w**3 + 0*w + w**2 + 0 - 5*w**5 = 0. What is w?
-1/2, -2/5, 0, 1
Factor -3/8*u**4 - 21/4*u + 0 - 15/8*u**2 + 3*u**3.
-3*u*(u - 7)*(u - 2)*(u + 1)/8
Let k be 7/(-14)*(1 + -1 + -3). Suppose 23*u = -3*u + 52. Factor -k*p**3 - 1/2*p**u + 0 + 1/2*p**5 + p + 1/2*p**4.
p*(p - 1)**2*(p + 1)*(p + 2)/2
Determine i, given that 8/3 - 2/3*i**5 - 10/3*i**4 + 16/3*i + 2/3*i**2 - 14/3*i**3 = 0.
-2, -1, 1
Factor 0*s**2 + 0 + 4/5*s**3 - 2/5*s**4 + 0*s.
-2*s**3*(s - 2)/5
Let r(c) be the second derivative of c**6/15 + 41*c**5/5 - 83*c**4/6 - 517*c. Solve r(v) = 0 for v.
-83, 0, 1
Let l(i) = i**2 + 10*i + 13. Let y be l(-9). Suppose 3*a - 8*a**4 + 3*a**3 + 18*a**2 + 2*a**y - 23 + 17 = 0. Calculate a.
-1, 1/2, 2
Factor 6/5 + 3/5*j**3 - 3*j - 3/5*j**4 + 9/5*j**2.
-3*(j - 1)**3*(j + 2)/5
Let r(j) be the first derivative of -7*j**4/16 - 3*j**3/4 + 3*j**2/2 + j + 556. Let r(m) = 0. Calculate m.
-2, -2/7, 1
Let b(z) be the third derivative of -z**7/840 + z**6/24 - 5*z**5/12 + 53*z**2. What is m in b(m) = 0?
0, 10
Determine p, given that -5/7*p**3 + 4/7*p**4 + 0*p + 1/7*p**2 + 0 = 0.
0, 1/4, 1
Let z be 5/2*2 + -3*1. Let u(k) be the third derivative of 0 + 0*k + 0*k**6 + 3*k**z - 1/120*k**5 + 1/420*k**7 + 0*k**3 + 0*k**4. Factor u(f).
f**2*(f - 1)*(f + 1)/2
Let k(r) be the second derivative of -2/3*r**4 + 0 - 10/21*r**7 + 2*r**5 - 10/3*r**3 + 2/15*r**6 + 2*r**2 + 2*r. Suppose k(c) = 0. What is c?
-1, 1/5, 1
Let -1/6*i**4 + 7/6*i**3 - 8/3*i**2 + 2*i + 0 = 0. Calculate i.
0, 2, 3
Let b(m) = m + 7*m**2 - 5*m**2 - 2*m + 1. Let c be b(1). Solve 0*i - c*i - i**2 - 1 + 4*i + 0*i = 0 for i.
1
Let u(m) be the first derivative of -m**3/3 - 7*m**2/2 + 22*m + 6. Let t be u(-9). Factor 10*i**2 - 2*i**t - i**5 + 4*i - 238*i**3 + 244*i**3 - i**5.
-2*i*(i - 2)*(i + 1)**3
Let h(m) = -4*m**2 - 5*m - 4. Let n(f) = -3*f**2 - 4*f - 3. Let x = 38 + -36. Let t(q) = x*h(q) - 3*n(q). Factor t(o).
(o + 1)**2
Let p = 2/229 + 683/458. Let h(a) be the first derivative of p*a**4 + 22/9*a**3 - 16/3*a**2 - 8/3*a + 1. Determine s so that h(s) = 0.
-2, -2/9, 1
Let b(z) be the second derivative of z**5/70 + 17*z**4/42 + 10*z**3/7 + 422*z. Factor b(f).
2*f*(f + 2)*(f + 15)/7
Solve -6/7*s**2 - 10/7*s + 2/7*s**4 + 2/7*s**3 - 4/7 = 0.
-1, 2
Let 145*b - 18 + 178 - 56*b - 2*b**2 - 13*b = 0. Calculate b.
-2, 40
Let n = 13 + -12. Let w(u) be the first derivative of 12*u + 5*u**3 - 4*u**3 + 0*u**3 + n + 0*u**3 - 6*u**2. Find j, given that w(j) = 0.
2
Let p = 19 - 15. Let c = 948 - 4732/5. Factor -8/5*m + 2/5 - c*m**3 + 2/5*m**p + 12/5*m**2.
2*(m - 1)**4/5
Let x(w) be the second derivative of -w**7/140 - w**6/150 + 3*w**5/40 + w**4/12 - w**3/5 - 2*w**2/5 + 39*w - 2. Find i such that x(i) = 0.
-2, -1, -2/3, 1, 2
Let p(h) be the second derivative of h**4/8 + 7*h**3/4 + 15*h**2/2 + 2*h + 67. Factor p(v).
3*(v + 2)*(v + 5)/2
Factor -16/7*y + 0 + 20/7*y**2 + 1/7*y**4 - 8/7*y**3.
y*(y - 4)*(y - 2)**2/7
Suppose -10*p = -p - 45. Determine y so that 49*y + 2*y**2 + 243 + p*y + y**2 = 0.
-9
Let r(b) be the first derivative of b**5/5 - 9*b**4/4 + 17*b**3/3 + 9*b**2/2 - 18*b + 38. Find f, given that r(f) = 0.
-1, 1, 3, 6
Let g(x) = 4*x**2 - x. Let l = 80 + -74. Let w(v) = 5*v**2 - 2*v. Let b(h) = l*g(h) - 5*w(h). Factor b(o).
-o*(o - 4)
Suppose 0 = 5*h - 4*s + 11 + 1, 3*h - 2*s + 6 = 0. Suppose -5*t = 4*m - 0*m - 14, -5*t - m + 26 = h. Solve -2*c + t*c + c**3 - 5*c**3 = 0.
-1, 0, 1
Let t = 382297/31 - 12331. Let g = 345/217 - t. Factor 5/7*j**2 + g*j + 1/7*j**3 - 9/7.
(j - 1)*(j + 3)**2/7
Let i(d) be the second derivative of 1/3*d**4 - 1/15*d**7 - 2/75*d**6 + 7/10*d**5 - 28/15*d**3 - 6*d - 8/5*d**2 + 0. Let i(p) = 0. Calculate p.
-2, -1, -2/7, 1, 2
Suppose -48 = r - 50. Let x(n) be the second derivative of 0 - 1/9*n**4 - n + 0*n**3 - 1/30*n**5 + 0*n**r. What is q in x(q) = 0?
-2, 0
Let u(g) be the first derivative of 2*g**3/3 + 12*g**2 + 179. Factor u(y).
2*y*(y + 12)
Let v(c) be the second derivative of -11*c - 4/7*c**2 + 1/42*c**4 - 1/7*c**3 + 0. What is h in v(h) = 0?
-1, 4
Let y(j) be the first derivative of -j**5/15 + 107*j**4/12 + 109*j**3/9 - 107*j**2/6 - 36*j + 699. Solve y(q) = 0.
-1, 1, 108
Let r be -10 - -9 - (-19 + -2). Let -6*i**2 + 6*i + 12*i**2 - 4*i**2 - r = 0. What is i?
-5, 2
Let a(d) be the second derivative of -d**7/105 - 14*d**6/75 - 69*d**5/50 - 14*d**4/3 - 20*d**3/3 - 2*d - 4. Factor a(x).
-2*x*(x + 2)**2*(x + 5)**2/5
Let d(p) be the first derivative of 2*p**3/27 - p**2/9 - 8*p/3 + 753. Factor d(u).
2*(u - 4)*(u + 3)/9
Let h(d) be the first derivative of -d**5/150 - d**4/30 + d**3/5 + 3*d**2 - 18. Let f(y) be the second derivative of h(y). What is a in f(a) = 0?
-3, 1
What is t in 2*t + 20/3 - 2/3*t**2 = 0?
-2, 5
Let j be (-108)/144 - (-2490)/(-8). Let u = -310 - j. Suppose -4/7*x**u - 2/7*x**3 + 0 - 2/7*x = 0. What is x?
-1, 0
What is l in 18723/5 - 474/5*l + 3/5*l**2 = 0?
79
Let x = 24 - 18. Suppose 12 = -0*j + x*j. Factor 1/3*f**j + 0 + 1/3*f.
f*(f + 1)/3
Let h = -213 - -219. Let t(l) be the third derivative of -11/84*l**4 + 0*l + 2/21*l**3 + 1/10*l**5 - 4*l**2 + 0 + 1/147*l**7 - 17/420*l**h. Factor t(w).
2*(w - 1)**3*(5*w - 2)/7
Let x(k) be the third derivative of k**6/480 + 13*k**5/120 + 49*k**4/96 + k**3 - 6*k**2 + 7. Find s, given that x(s) = 0.
-24, -1
Let l(n) be the third derivative of 0 + 1/780*n**6 - 1/156*n**4 + 0*n - 9*n**2 + 0*n**5 + 0*n**3. Factor l(b).
2*b*(b - 1)*(b + 1)/13
Factor 0 - 6/5*v**2 - 2/5*v**3 + 0*v.
-2*v**2*(v + 3)/5
Let k be (200/(-80))/(50/(-8)). Factor 4/5 - 2/5*y**2 + k*y.
-2*(y - 2)*(y + 1)/5
Let s(l) = 14*l**3 + 26*l**2 + 20*l + 8. Let q(d) = d**4 - 71*d**3 - 131*d**2 - 100*d - 41. Let i(u) = 4*q(u) + 22*s(u). Factor i(h).
4*(h + 1)**3*(h + 3)
Let m = -507 - -6595/13. Let z = 193/1001 + -3/77. Factor 0 - z*d**2 + m*d - 2/13*d**3.
-2*d*(d - 1)*(d + 2)/13
Let f(z) = z**3 - 5*z**2 + 30*z - 26. Let p be f(1). Suppose 0*g**2 + 2/7*g**3 + p*g + 0 = 0. What is g?
0
Let m(n) be the second derivative of -n**4/12 - n**3/3 + 3*n**2/2 - 23*n - 2. Suppose m(i) = 0. What is i?
-3, 1
Let b be 60/(-25)*(-125)/525. Factor 20/7*x + 16/7 + b*x**2.
4*(x + 1)*(x + 4)/7
Let j(c) be the second derivative of 25*c**7/21 - 28*c**6 + 162*c**5/5 - 32*c**4/3 - 7*c - 1. Factor j(s).
2*s**2*(s - 16)*(5*s - 2)**2
Suppose x = 6*x + q - 18, 8 = -4*q. Suppose -2*v + 5*w = 9, -x = -w - 1. Factor 34/7*o**v - 2/7 + 16/7*o**2 - 1/7*o + 26/7*o**4 + o**5.
(o + 1)**4*(7*o - 2)/7
Factor 1/7*o**3 - 2/7*o**2 + 0 + 1/7*o**4 + 0*o.
o**2*(o - 1)*(o + 2)/7
Let t(g) = -10*g + 142. Let b be t(14). Suppose -b*h = -3*x + 1 + 3, 3*h = x + 1. Suppose -1/10*v**x - 1/5 + 3/10*v = 0. Calculate v.
1, 2
Let j(n) be the third derivative of 1/210*n**5 + 0*n**3 - 1/42*n**4 + 0 + 0*n - 16*n**2. Find d such that j(d) = 0.
0, 2
Let s(w) = -20*w - 100. Let g be s(-5). Let q(l) be the second derivative of -4*l + 0 + 1/2*l**2 + g*l**3 - 1/12*l**4. Factor q(y).
-(y - 1)*(y + 1)
Factor -68/5 - 72/5*f - 4/5*f**2.
-4*(f + 1)*(f + 17)/5
Let 652*t + 9*t**4 + 216*t - 264 + 1655*t**3 - 818*t**2 - 1496*t**