 30, -3*t - 20 = -2*b. Factor 4*w + 8*w**2 + 3 - 8*w**3 - b + 4*w**5 - w**4 + 3 - 3*w**4.
4*(w - 1)**3*(w + 1)**2
Factor 48/7*m + 26/7*m**2 + 2/7*m**3 - 216/7.
2*(m - 2)*(m + 6)*(m + 9)/7
Suppose 0 = 23*h - 16*h - 42. Suppose 0 = -h*s + 8 + 10. Factor 5*p + p**2 - p**4 - 3*p**s + 4*p**2 + 2 + 2*p**3 - 2*p**2.
-(p - 2)*(p + 1)**3
Suppose -4*j - 3 - 5 = 0, 4*s + 2*j - 8 = 0. Suppose -5*h - 21 = -s*f - 0*f, 5*f - 25 = 5*h. Factor u**4 + 2*u**4 - f*u**2 + 5*u**3 - 5*u**4 - u**3.
-2*u**2*(u - 1)**2
Suppose 253*s + 200*s = 541*s. Factor -1/3*o**4 + 1/3*o**5 - 1/3*o**3 + 0*o + s + 1/3*o**2.
o**2*(o - 1)**2*(o + 1)/3
Let d(j) = 30*j**2 - 147*j - 127. Let v(p) = 9*p**2 - p - 3. Let w(h) = -d(h) + 4*v(h). Factor w(z).
(z + 23)*(6*z + 5)
Let j(d) be the second derivative of d**4/48 + 181*d**3/24 + 1004*d. Find w such that j(w) = 0.
-181, 0
Let x be (23 - 24)*1*-80. Factor -820 - 148 - 40*o - 268*o + x*o**2 - 4*o**3.
-4*(o - 11)**2*(o + 2)
Let h(f) = -8*f + 14*f**3 - 30*f**2 - 15*f**3 + 20*f**2 + f**4. Let r(p) = -p**4 + p**3 + 11*p**2 + 9*p. Let i(l) = 6*h(l) + 5*r(l). Factor i(n).
n*(n - 3)*(n + 1)**2
Let n = -18776/119 + 4290/17. Let r = n + -1149/14. Factor 15*u**2 + 5/4*u**3 + r + 105/4*u.
5*(u + 1)**2*(u + 10)/4
Let y(m) be the second derivative of 0 + 17*m + 5*m**4 + 25/42*m**7 + 9/2*m**6 + 0*m**2 + 10*m**5 + 0*m**3. Solve y(o) = 0.
-3, -2, -2/5, 0
Let m(v) be the first derivative of -3364/3*v + 72 - 1/9*v**3 + 58/3*v**2. Suppose m(j) = 0. Calculate j.
58
Let f(m) = 5*m. Let g(p) = -p**2 + 482*p - 446. Let j(w) = 7*f(w) - g(w). Factor j(n).
(n - 446)*(n - 1)
Let w be (4 - (-10)/(-6))/((-4)/6)*976/(-854). What is r in 3/4*r**2 + 0*r**3 - 1/8*r**w + 3/8 + r = 0?
-1, 3
Let i = -769066 + 769069. Let n be (-24)/(-3)*2/34. Suppose -n*k**2 - 2/17*k**i + 12/17 - 2/17*k = 0. Calculate k.
-3, -2, 1
Suppose 3*q**4 - 32 - 3*q**3 + 212*q - 160*q - 6*q**2 + 2*q**4 - 3*q**4 - 13*q**3 = 0. What is q?
-2, 1, 8
Let g(a) = 2*a**3 - a**2 - 1. Let o(d) = 14*d**3 + 10*d**2 - 6. Suppose 3*n - 5*t + 7 = 0, n - t - 4 = -5. Let v(s) = n*o(s) - 6*g(s). Factor v(m).
2*m**2*(m + 8)
What is q in 2/9*q**2 + 0 + 40/3*q = 0?
-60, 0
Let n(q) be the first derivative of -66 + 0*q + 1/2*q**6 + 24*q**4 + 6*q**5 + 0*q**2 + 32*q**3. Factor n(r).
3*r**2*(r + 2)*(r + 4)**2
Let p = 80 + -72. Let m be (114/(-12) - -8)/((-6)/p). Factor 24 - 13*a**2 - 16*a + 5*a**3 - 3*a**3 + 29*a**m - 18*a**2.
2*(a - 2)**2*(a + 3)
Let s = -130 - -138. Solve -8*l + s*l**2 + 2*l**3 - 14*l**4 - 13*l**4 + 25*l**4 = 0 for l.
-2, 0, 1, 2
Suppose -v + 4*v**2 + 80 + 61*v - 49*v + 73*v = 0. What is v?
-20, -1
Suppose -15*i**3 - 3/2*i**4 - 120*i + 0 + 273/2*i**2 = 0. What is i?
-16, 0, 1, 5
Suppose -6*o + 232 = -35*o. Let g(q) = -q**2 - 13*q - 36. Let f be g(o). Factor 9/7*t**3 + 0 + 3/7*t + 9/7*t**2 + 3/7*t**f.
3*t*(t + 1)**3/7
Let a(r) = 11*r**2 + 225*r - 866. Let g(c) = -6*c**2 - 112*c + 424. Let x(y) = -4*a(y) - 7*g(y). Factor x(f).
-2*(f - 4)*(f + 62)
Suppose -1 = r - 4*q + 11, r = -4*q - 4. Let h be (r/(-6))/((-4)/(-6)). Factor 27*m - 4*m**h - 27*m + 16.
-4*(m - 2)*(m + 2)
Let g be (-68)/286 + (-352)/1144. Let u = g - -23/22. Factor 2 + 3/2*q - u*q**2.
-(q - 4)*(q + 1)/2
Let m(l) be the third derivative of 16*l + 10/3*l**3 - 1/15*l**5 - 2*l**2 + 0 - 2/3*l**4. Solve m(s) = 0 for s.
-5, 1
Suppose -55*b - 161*b - 4*b = 0. Solve b + 3*s + 1/4*s**2 = 0.
-12, 0
Let p(i) be the third derivative of 1/15*i**5 + 0*i + 161*i**2 - 7/6*i**3 - 5/48*i**4 + 0 - 1/240*i**6. Factor p(l).
-(l - 7)*(l - 2)*(l + 1)/2
Suppose -5958*a + 45 = -5943*a. Solve -3*m**2 + 21/8*m**a + 0 - 6*m - 3/8*m**4 = 0.
-1, 0, 4
Let t(d) be the first derivative of -93 + 2/9*d**3 - 56/9*d**2 - 38/9*d. Solve t(m) = 0 for m.
-1/3, 19
Suppose 32 - 50 = 2*l - 5*s, -l - 12 = -3*s. Let i(f) be the first derivative of -l + 1/9*f**2 + 1/27*f**3 + 1/9*f. Let i(w) = 0. What is w?
-1
Suppose -12 = -12*z + 6*z. Factor 15 + 38*v**z - 4*v - 42*v**2 + 9.
-4*(v - 2)*(v + 3)
Factor -286*c**2 - 2*c**3 + 543*c**2 - 229*c**2 + 64*c.
-2*c*(c - 16)*(c + 2)
Let w(m) be the third derivative of -27*m**7/70 + 81*m**6/40 + 153*m**5/5 + 118*m**4 + 224*m**3 + 1336*m**2. Let w(u) = 0. What is u?
-4/3, 7
Let p(z) be the second derivative of z**5/30 - 73*z**4/6 + 4033*z**3/3 - 11881*z**2/3 - z - 3062. Factor p(l).
2*(l - 109)**2*(l - 1)/3
Solve 2070 - 76*u**2 + 4*u**3 - 1098 - 1152 + 252*u = 0.
1, 3, 15
Suppose 15*v - 10*v + 15 = 0. Let i be -3 - 10/v - (-5)/3. Suppose -8/5*o**i - 8/5*o**4 - 12/5*o**3 - 2/5*o**5 + 0 - 2/5*o = 0. Calculate o.
-1, 0
Let j be ((-1405)/20 - -71)/(9/4). Let -1/3*y**5 + 0 + j*y**3 + 0*y - 2/3*y**4 + 2/3*y**2 = 0. What is y?
-2, -1, 0, 1
Let o = -661/7 + 2665/28. Factor 0*f + o*f**4 + 0 - 1/4*f**5 + 0*f**3 + 0*f**2.
-f**4*(f - 3)/4
Let d(s) = s**3 - s**2 - 2*s + 2. Let k = -64 - -66. Let v be d(k). Factor -5*r + r + 7*r - v*r**2 + 14*r**2.
3*r*(4*r + 1)
Let l(o) be the second derivative of 489845*o**4/12 - 1565*o**3/3 + 5*o**2/2 - 2*o + 693. Suppose l(t) = 0. What is t?
1/313
Find a, given that 333/5*a**2 - 132 + 324/5*a + 3/5*a**3 = 0.
-110, -2, 1
Let b(p) be the first derivative of 4*p**3/3 + 30*p**2 + 56*p - 4743. Factor b(f).
4*(f + 1)*(f + 14)
Let t(x) = 18*x**3 + x**2 + 16*x - 16. Let v be t(1). Suppose -5*p**2 + p - 4*p + 14*p + v*p - 5*p**3 = 0. Calculate p.
-3, 0, 2
Let y(h) be the second derivative of 2*h**6/15 - 21*h**5/5 - 895*h + 2. What is u in y(u) = 0?
0, 21
Let w(y) = -2*y**3 - 221*y**2 - 175*y - 7148. Let r be w(-110). What is q in 0 - 1/5*q**3 + q**r + 6/5*q = 0?
-1, 0, 6
Suppose 56 - 12 = 22*t. Solve t*p**4 + 6*p**2 - 3*p + 21*p**3 - 6*p + 7*p**4 - 3*p**4 = 0 for p.
-3, -1, 0, 1/2
Factor -790 + 744*j - 274*j - 2*j**2 - 302*j.
-2*(j - 79)*(j - 5)
Let v(l) = 9*l**5 + 15*l**4 + 15*l**3 + 5*l**2 + 8. Let a = -405 - -406. Let b(i) = i**5 + 2. Let u(g) = a*v(g) - 4*b(g). Factor u(s).
5*s**2*(s + 1)**3
Let c be (-8)/((-128)/(-828))*2/12. Let k = c - -775/88. Factor 6/11*z**3 - k*z + 0 - 4/11*z**2.
2*z*(z - 1)*(3*z + 1)/11
Let n = 23 - 20. Let o be 6 - 72/40 - 4. Factor 2/5*p + 0 + 1/5*p**2 - o*p**n.
-p*(p - 2)*(p + 1)/5
Suppose 456 = -4*x - 0*x. Let w = 384 + x. Factor 125*m**5 + 2*m**2 + 120*m**3 + 18*m**2 + w*m**4 - 45*m**4.
5*m**2*(m + 1)*(5*m + 2)**2
Suppose -5*o + 3*o = -5*z - 85, -3*o = -z - 160. Solve -18*b**2 - 22*b**2 - 90*b + 5*b**3 + o*b**2 = 0.
-6, 0, 3
Suppose 2*w = -5*z + 8, -3*w - 8 + 13 = 4*z. Let h(t) be the first derivative of 0*t**z + 0*t + 2/25*t**5 - 1/5*t**4 + 6 + 2/15*t**3. Factor h(b).
2*b**2*(b - 1)**2/5
Let n(x) = 105*x**3 - 15*x**2 - 90*x + 108. Let g(a) = -47*a**3 + 8*a**2 + 45*a - 54. Let t(u) = 9*g(u) + 4*n(u). Find w, given that t(w) = 0.
-3, 1, 6
Let h = -105 - -1501/4. Let r = h + -270. Solve 1/4*t**5 + r*t + 1/4 + 1/4*t**4 - 1/2*t**2 - 1/2*t**3 = 0 for t.
-1, 1
Let a(q) be the first derivative of -61263*q - 95*q**3 - 59*q**3 + 9600*q**2 - 6*q**3 - 194737*q - 198 + q**4. Factor a(r).
4*(r - 40)**3
Suppose -7 = -27*t + 20. Let f(x) = 1156*x**3 + 1431*x**2 + 291*x + 13. Let a(u) = u**2 + u - 1. Let n(j) = t*f(j) - 3*a(j). Factor n(m).
4*(m + 1)*(17*m + 2)**2
Let z = -3 + 5. Suppose -i = -z*i - 3, m = 4*i + 32. Solve 64*f**3 + 16*f**5 - 68*f**4 + 29*f**2 + m*f**2 - 16*f - 64*f + 16 + 3*f**2 = 0 for f.
-1, 1/4, 1, 2
Let t(i) be the second derivative of -i**7/1680 + i**6/240 - i**5/120 - 13*i**3 + 61*i. Let o(u) be the second derivative of t(u). Factor o(c).
-c*(c - 2)*(c - 1)/2
Let f(c) = 9*c**2 - 2*c + 92. Let j(t) = -205*t**2 + 45*t - 2030. Let r(q) = -45*f(q) - 2*j(q). Let r(k) = 0. Calculate k.
-4, 4
Let g be (-43 + (-2108)/(-51))*((-11 - -2) + 2). Factor 1/3*s**3 + 37/3 + g*s**2 - 73/3*s.
(s - 1)**2*(s + 37)/3
Let c(i) be the first derivative of -i**6/24 - 3*i**5/10 + 10*i**4 - 217*i**3/6 + 417*i**2/8 - 34*i + 1936. Determine f, given that c(f) = 0.
-17, 1, 8
Let x(q) be the second derivative of -q**6/105 + 23*q**5/70 - 30*q**4/7 + 592*q**3/21 - 704*q**2/7 - 1337*q + 3. Let x(u) = 0. Calculate u.
4, 11
Let l = 734 - 695. Let t(q) = 3*q**2 - 116*q - 37. Let j be t(l). Factor -9/2 + 6*r - j*r**3 - 1/2*r**4 + r**2.
-(r - 1)**2*(r + 3)**2/2
Let j(w) be the first derivative of -1/18*w**4 - 14/27*w**3 + 0*w + 0*w**2 + 45. Factor j(i).
-2*i**2*(i + 7)/9
Let i(p) be the second derivative of -2/15*p**6 - 72*p + 1/63*p