 Let a(b) = 11*b**2 + b**3 - b**2 - b - 6*b**2. Let h(l) = 3*a(l) + 4*t(l). Factor h(d).
3*d*(d - 1)*(d + 1)
Let o be 3*1/50*(-10)/(-12). Let i(u) be the first derivative of -o*u**4 + 3 + 3/10*u**2 + 0*u + 2/15*u**3. Factor i(s).
-s*(s - 3)*(s + 1)/5
Let 0*s + 0 - 51894/7*s**2 - 1116/7*s**3 - 6/7*s**4 = 0. Calculate s.
-93, 0
Let w(x) be the first derivative of 3*x**5/20 - 33*x**4/8 + 21*x**3/4 + 131. Find h, given that w(h) = 0.
0, 1, 21
Let m(d) be the first derivative of d**4 + 32*d**3/7 - 32*d**2/7 + 239. Factor m(a).
4*a*(a + 4)*(7*a - 4)/7
Suppose -4*w**4 + 56*w - 74*w**3 - 7*w**4 - 118*w**2 + 91 + w**5 + 37 + 18*w**2 = 0. What is w?
-2, 1, 16
Suppose 2*k + 3*s = 2, 0 = -s - 3*s - 8. Let o(v) = 225*v**2 - 63*v + 1. Let x(l) = -225*l**2 + 64*l. Let m(h) = k*o(h) + 3*x(h). Suppose m(a) = 0. Calculate a.
2/15
Let r(o) = 2*o**2 - 1. Let c(w) = 8*w**2 - 84*w + 81. Let p(g) = -c(g) + 5*r(g). Factor p(d).
2*(d - 1)*(d + 43)
Let y(m) be the first derivative of 4*m**5/5 - 11*m**4 + 56*m**3 - 128*m**2 + 128*m + 190. Solve y(u) = 0.
1, 2, 4
Let b(n) be the third derivative of -n**8/1680 + n**7/105 - 11*n**6/180 + n**5/5 - n**4/12 - 5*n**2. Let a(r) be the second derivative of b(r). Factor a(s).
-4*(s - 3)*(s - 2)*(s - 1)
Suppose 21*o - 330 = 16*o. Let k = o - 63. Suppose -1/8*h**2 + 1/8*h**k - 1/2*h + 1/2 = 0. Calculate h.
-2, 1, 2
Let a(w) be the third derivative of -12*w**3 - w**4 - 1/30*w**5 + 0*w - 3*w**2 + 3. Determine k so that a(k) = 0.
-6
Let k(t) = -5*t**2 - 7*t + 9. Let b(j) = 16*j**2 + 22*j - 28. Let u(l) = 3*b(l) + 10*k(l). Solve u(n) = 0.
-3, 1
Let z(c) be the second derivative of c**5/30 + c**4/18 - 10*c**3/9 + 8*c**2/3 + 13*c + 1. Factor z(g).
2*(g - 2)*(g - 1)*(g + 4)/3
Let v(p) = -29*p**3 - 11*p**2 - 9. Suppose -54 = l + 5*l. Let b(j) = -7*j**3 - 3*j**2 - 2. Let m(g) = l*b(g) + 2*v(g). Determine o so that m(o) = 0.
-1, 0
Let g(a) be the first derivative of -28 + 0*a**3 + 1/2*a**4 + 0*a**2 + 4/5*a**5 + 0*a. Determine k so that g(k) = 0.
-1/2, 0
Let o(d) = 3*d**3 + 9*d**2 - 12*d + 4. Let j(c) = -2*c**3 - 8*c**2 + 11*c - 4. Suppose p - 10 + 13 = 0. Let u(i) = p*o(i) - 4*j(i). Factor u(s).
-(s - 2)**2*(s - 1)
Let d be 324 - 315 - (-25)/(-3). Factor -2*x**3 - 10/3*x + d + 14/3*x**2.
-2*(x - 1)**2*(3*x - 1)/3
Let r(o) = o - 15. Let j be r(9). Let z = 8 + j. Solve 38*v + 5*v**2 - 42*v - 2*v**3 + 1 + 0*v**z = 0 for v.
1/2, 1
Factor 15/7*z - 13/7*z**2 - 1/7*z**4 + 2 - 15/7*z**3.
-(z - 1)*(z + 1)**2*(z + 14)/7
Let t(c) be the first derivative of -2*c**3 - 3*c**4 + 23 + 9/2*c**2 + 0*c**5 + 1/2*c**6 + 6*c. Suppose t(v) = 0. What is v?
-1, 1, 2
Let x = 17524/4767 - 15/1589. Let 0 + 2/3*m + x*m**4 + 5*m**2 + 8*m**3 = 0. Calculate m.
-1, -2/11, 0
Let j(y) be the third derivative of -y**8/70560 + y**6/2520 + y**5/4 + y**2. Let g(f) be the third derivative of j(f). Let g(t) = 0. What is t?
-1, 1
Suppose -3*o = -2*b - 14, -o = -18*b + 13*b + 4. Find w, given that -1824/7*w**b + 1020/7*w**3 - 144/7 + 225/7*w**4 + 912/7*w = 0.
-6, 2/5, 2/3
Find q such that -332*q - 2388*q - 433 - 10*q**3 + 1010 + 868 - 335*q**2 = 0.
-17, 1/2
Let c(i) be the second derivative of -i**8/2240 - i**7/210 - i**6/60 + 9*i**4/4 + 18*i. Let f(g) be the third derivative of c(g). Factor f(q).
-3*q*(q + 2)**2
Suppose -7 = 2*n - 5*p, -3*n = -0*n + 3*p. Let x = 1 + n. Find i such that x*i**4 + 2*i**5 - 6*i**2 - 4*i**3 - 2*i**3 + 2*i**4 - 4*i - 4*i**2 = 0.
-1, 0, 2
Let j be (-74)/14 + 6/21. Let s be (39/(-9) - j)/1. Factor -i + 1/3*i**2 + s.
(i - 2)*(i - 1)/3
Let t(p) = p**2 - p + 1. Let s(c) = 35*c**3 + 2408*c**2 - 3143*c + 703. Let h(f) = s(f) - 3*t(f). Suppose h(x) = 0. Calculate x.
-70, 2/7, 1
Let a(v) be the first derivative of -17*v**3/3 - v**2 + 12*v - 13. Let u(x) = -50*x**2 - 5*x + 35. Let h(p) = -10*a(p) + 3*u(p). Factor h(j).
5*(j + 1)*(4*j - 3)
Let i(m) be the third derivative of m**7/70 + 3*m**6/10 + 7*m**5/4 - 3*m**4/2 - 18*m**3 - 8*m**2 + 2. Suppose i(h) = 0. What is h?
-6, -1, 1
Suppose -843304/15*f - 446/15*f**3 + 2220*f**2 + 810448/15 + 2/15*f**4 = 0. Calculate f.
1, 74
Suppose 0*s + 0 + 5/2*s**5 - 6*s**4 + 3*s**2 - 11/2*s**3 = 0. Calculate s.
-1, 0, 2/5, 3
Let r = -48 + 77. Solve -3*m**4 + 4*m**2 + m**3 + 27*m**5 - r*m**5 - m**2 + m = 0 for m.
-1, -1/2, 0, 1
Let g = -713 + 715. Find w such that -1/4*w + 5/4*w**4 + 9/4*w**g - 1/2 + 13/4*w**3 = 0.
-1, 2/5
Let p be (10/35)/(5/10). Factor 0 + 0*r + 4/7*r**5 + 4/7*r**4 - 4/7*r**3 - p*r**2.
4*r**2*(r - 1)*(r + 1)**2/7
Determine o so that 49 - 56*o - 378*o - 187 + 43*o - 26*o - 9*o**2 = 0.
-46, -1/3
Factor -6*o**2 + 148*o - 92*o + 108 - 3*o**2 + 100*o.
-3*(o - 18)*(3*o + 2)
Factor 0*h**2 + 0*h + 0 - 2/11*h**5 + 0*h**4 + 0*h**3.
-2*h**5/11
Factor -380 - 135*l**4 - 2280*l - 457 - 1095*l**3 - 2525*l**2 - 5*l**5 - 45 + 162.
-5*(l + 1)**3*(l + 12)**2
Let i(g) be the second derivative of -g**4/12 - 8*g**3 + 100*g. Factor i(f).
-f*(f + 48)
Let o = -2324 + 20918/9. What is v in 4/9 - 2/9*v - o*v**2 = 0?
-2, 1
Let r be -3*((-6)/7 - (-6)/(-42)). Let b(t) be the first derivative of 0*t - 4 - t**2 + 8/3*t**r. Solve b(z) = 0 for z.
0, 1/4
Let f(u) be the first derivative of 3/4*u**4 + 9*u + 5 + 5*u**3 + 21/2*u**2. Factor f(r).
3*(r + 1)**2*(r + 3)
Suppose 4*y**2 - 60 - 80*y + 253*y - 117*y = 0. Calculate y.
-15, 1
Let w(i) be the second derivative of -i**4/30 - 172*i**3/15 - 7396*i**2/5 - 34*i + 1. Factor w(p).
-2*(p + 86)**2/5
Let d = 8350/7 + -1192. Determine m, given that -1/7 + d*m - 8/7*m**2 + 9/7*m**4 - 6/7*m**3 = 0.
-1, 1/3, 1
Let s(i) be the third derivative of i**7/1050 - i**6/75 + 13*i**5/300 - i**4/20 + 61*i**2. Suppose s(m) = 0. Calculate m.
0, 1, 6
Let h(s) = 3*s**5 - 2*s**4 + 8*s**3 - 6*s**2 - 11*s + 8. Let d(i) = -i**5 + i**2 + i - 1. Let u(v) = -4*d(v) - h(v). What is o in u(o) = 0?
-4, -1, 1
Let m(l) = 2*l + 1. Let j be m(5). Solve j*c**2 + 10*c + 2*c**4 + 2*c**5 - 2 - 4 - 12*c**3 - 7*c**2 = 0 for c.
-3, -1, 1
Let u = 306 + 90. Factor 2*w**2 + 2*w - u*w**4 + 394*w**4 - 2*w.
-2*w**2*(w - 1)*(w + 1)
Let m(k) = 6*k**3 + 2*k**2 - 44*k + 4. Let i(g) = g**3 - g + 1. Let j(l) = -4*i(l) + m(l). Factor j(r).
2*r*(r - 4)*(r + 5)
Let p be (-388)/800 - 11/(-22). Let l(r) be the third derivative of -p*r**6 - 9*r**2 - 1/15*r**3 + 0*r - 13/120*r**4 + 0 - 2/25*r**5. Factor l(a).
-(a + 2)*(3*a + 1)**2/5
Solve -136/11*c + 90*c**4 + 48/11 - 548/11*c**2 + 626/11*c**3 = 0 for c.
-1, -2/5, 2/9, 6/11
Let t(l) = l + 2. Let h be t(10). Suppose -4 = 4*k - h. Suppose 5*u**k - 8*u**2 + 6*u**2 - 3 = 0. Calculate u.
-1, 1
Let p be 6 - (6 - 0/3). Suppose r + 16 - 19 = p. Factor -3/2*q**4 + 0 + 1/2*q**r - 2/3*q + 4/3*q**2.
-q*(q + 1)*(3*q - 2)**2/6
Let m(h) be the first derivative of -15 + 2/5*h**3 - 3/20*h**4 + 3/10*h**2 - 6/5*h. Factor m(f).
-3*(f - 2)*(f - 1)*(f + 1)/5
Suppose 3*i + 34 = z, -2*i + 0*i - 18 = 4*z. Let u(f) = -f**3 - 10*f**2 + 10*f - 9. Let q be u(i). Factor 44*t**5 + 2*t - q*t**3 - 43*t**5 - t.
t*(t - 1)**2*(t + 1)**2
Let d be (4 + 8)/3 - 0. Determine q so that 2*q - q - 6 + 3*q**3 + 6*q**2 - d*q = 0.
-2, -1, 1
Let i(l) be the first derivative of -l**4/4 + 3*l**3/10 + 3*l**2/5 + l + 5. Let z(p) be the first derivative of i(p). Factor z(s).
-3*(s - 1)*(5*s + 2)/5
Let y(x) be the second derivative of 11*x**4/12 - 5*x**3/2 + 7*x**2/2 + 15*x. Let p(s) = 10*s**2 - 14*s + 8. Let c(b) = -3*p(b) + 4*y(b). Factor c(g).
2*(g - 1)*(7*g - 2)
Let k(z) be the third derivative of z**8/252 - 2*z**7/105 + z**6/30 - z**5/45 - 51*z**2. Factor k(n).
4*n**2*(n - 1)**3/3
Let n(a) be the third derivative of 0*a + 1/300*a**5 + 1/60*a**4 + 30*a**2 + 0 + 1/30*a**3. Factor n(b).
(b + 1)**2/5
Find j such that 11*j**4 - 2*j**4 - 6*j**4 + 12*j**2 - 8*j**3 - 7*j**4 = 0.
-3, 0, 1
Let v(j) be the third derivative of -j**5/540 + j**4/24 - j**3/3 + 462*j**2. Suppose v(s) = 0. Calculate s.
3, 6
Let d be 45/(-75) + (-38)/(-30). Suppose 0 = -4*n + 8. Determine f, given that -d + 0*f + 2/3*f**n = 0.
-1, 1
Let j(k) be the first derivative of k**6/72 - k**5/4 + 15*k**4/8 + 2*k**3 - 14. Let h(o) be the third derivative of j(o). Factor h(m).
5*(m - 3)**2
Let g = 87/16 - -381/80. Let p = g + -10. Factor p + 2/5*y + 1/5*y**2.
(y + 1)**2/5
Let c be (((-72)/16)/3)/(-135). Let i(s) be the second derivative of 0 + 1/54*s**4 + 0*s**2 - c*s**5 + 2*s + 0*s**3. Factor i(m).
-2