 Let u(l) be the first derivative of 3/5*l**5 - 3/4*l**d + 0*l + 1 + 0*l**2 + 0*l**3. Factor u(a).
3*a**3*(a - 1)
Let h = -8563/3 + 2737. Let t = 118 + h. Solve 0 + 0*u - t*u**5 + 2/3*u**3 + 2/3*u**2 - 2/3*u**4 = 0.
-1, 0, 1
Let i = 22 + -23. Let d be (2/(-4))/(i - (-66)/72). Let -14/3*s - 4/3 + d*s**2 = 0. What is s?
-2/9, 1
Let r(s) = s**3 + 12*s**2 + 5*s - 62. Let g be r(-11). Let 21/5*u**5 + 6/5*u + 0 + 81/5*u**3 + 39/5*u**2 + 69/5*u**g = 0. What is u?
-1, -2/7, 0
Let h(q) be the second derivative of -5/6*q**4 - 17*q + 0 + 0*q**2 - 2*q**6 + 0*q**3 - 11/4*q**5. Let h(s) = 0. What is s?
-2/3, -1/4, 0
Let a be (585/60)/(2 - -2 - 1). Let d be 3*1 + ((-63)/(-14) - 6). Solve -3*w - 1 - 1/4*w**4 - d*w**3 - a*w**2 = 0.
-2, -1
Let t be 7/(14/10) - 51/(-36). Let s = -14/3 + t. Factor 11/4*d - 4*d**2 + s*d**3 - 1/2.
(d - 1)**2*(7*d - 2)/4
Suppose -6*n - 3 = -21. Factor -33*d**3 + d - 3*d**2 + 2*d + 3 + 30*d**n.
-3*(d - 1)*(d + 1)**2
Let c(a) be the third derivative of -a**5/15 + 7*a**4/60 + a**3/5 + 43*a**2 - 2*a. Factor c(h).
-2*(h - 1)*(10*h + 3)/5
Suppose -q + 2*q - 134 = 0. Let 39*j**2 - j + 4*j - 108*j**5 - 3 - q*j**4 - 13*j**4 - 3*j**3 + 3*j**4 = 0. Calculate j.
-1, -1/2, 1/3
Let m(g) be the third derivative of 1/60*g**5 + 0 - 5/6*g**3 + 0*g + 0*g**4 + g**2 + 7/360*g**6. Let d(w) be the first derivative of m(w). Factor d(p).
p*(7*p + 2)
Let v(l) = -2*l**3 + 42*l**2 + 30*l - 2. Suppose 0 = 4*k - 20 - 8. Let c(i) = -12*i + 8 - i**3 - 17*i**2 - k + 2*i**3. Let s(n) = 12*c(n) + 5*v(n). Factor s(h).
2*(h + 1)**3
Suppose 0*f**4 + 13*f**3 - 2*f**4 - 5*f**3 - f**4 - 17*f**3 = 0. Calculate f.
-3, 0
Let j be (-21)/(-4)*(-3)/(-7). Let t(q) = -50*q + 352. Let n be t(7). What is b in 0 + j*b**n + 3/2*b + 3/4*b**3 = 0?
-2, -1, 0
Suppose l - 1 = -3. Let j(n) = -1. Let t(i) = 2*i**3 - 2*i**2 - 2*i + 20. Let y(w) = l*t(w) - 36*j(w). Determine a so that y(a) = 0.
-1, 1
Let o(z) = -z**3 + 15*z**2 + 18*z - 28. Let f be o(16). Let x(r) be the second derivative of r + 1/4*r**2 - 1/3*r**3 + 0 - 5/24*r**f. Let x(m) = 0. Calculate m.
-1, 1/5
Suppose 28*u = -0*u + 3*u. Factor q + u - 1/2*q**2.
-q*(q - 2)/2
Let j be -5 - (-20)/(-520)*-146*1. Factor j - 10/13*z + 2/13*z**2.
2*(z - 4)*(z - 1)/13
Let l = 733/5 + -145. Let a(w) be the first derivative of -28/5*w**2 - 98/15*w**3 - 2 - l*w. Suppose a(o) = 0. Calculate o.
-2/7
Let c be 10/3*(5 - 2). Let h = 14 - c. Solve 0*o**4 + 4*o**h - 4*o - 204*o**3 + 12*o**2 + 192*o**3 = 0.
0, 1
Let c(w) be the second derivative of -w**6/840 - w**5/84 + 9*w**2 + 15*w. Let k(s) be the first derivative of c(s). Factor k(u).
-u**2*(u + 5)/7
Suppose -r + 3*i - 8 = 0, 0 = -2*r + r - 2*i - 23. Let h = r + 21. What is q in -5*q**3 - 4*q**3 + h*q**3 = 0?
0
Suppose 4*h + 2*y = 13 + 13, 3*y = 3*h + 3. Determine n, given that -h*n**4 + 43*n**4 + 69*n**2 - 6*n**3 - 15*n + 17*n**5 + 4*n**5 - 111*n**2 + 3 = 0.
-1, 1/7, 1
Suppose -12*s + 8*s + 156 = 0. Factor -5*o**2 - 5*o + 15*o - s + 34.
-5*(o - 1)**2
Let g(p) be the second derivative of p**6/480 + p**5/32 + p**4/8 + 9*p**3/2 + 36*p. Let z(q) be the second derivative of g(q). Suppose z(l) = 0. What is l?
-4, -1
Let t(j) be the second derivative of -j**7/1260 - j**6/405 - j**5/540 - 4*j**3 + 26*j. Let o(f) be the second derivative of t(f). Let o(b) = 0. What is b?
-1, -1/3, 0
Suppose -5 = -g - w, 3*w + 0 = 3*g - 3. Suppose -12 = -b + 4*d + 6, -b - 3 = g*d. Factor -b*y**2 - 2*y**4 + 2*y**4 - 3*y**4 + 4*y**3 - 13*y**3.
-3*y**2*(y + 1)*(y + 2)
Let c(r) be the first derivative of -25*r**4/4 - 65*r**3/3 + 45*r**2/2 + 45*r + 124. Factor c(z).
-5*(z - 1)*(z + 3)*(5*z + 3)
Factor -1/5*p**4 + 0*p + 0 + 0*p**2 - 1/5*p**3.
-p**3*(p + 1)/5
Factor -176*t**3 + 32/9 - 1552/9*t**2 + 2178*t**4 + 64/9*t.
2*(9*t - 2)**2*(11*t + 2)**2/9
Let x be 3*(17/102 + (-19)/(-6)). Let -x*z**2 + 312 - 10*z**3 + 2*z**4 + 2*z**3 - 312 = 0. Calculate z.
-1, 0, 5
Let l(v) be the third derivative of -v**7/70 - 2*v**6/5 - 77*v**5/20 - 55*v**4/4 - 24*v**3 + 222*v**2. Factor l(s).
-3*(s + 1)**2*(s + 6)*(s + 8)
Let q(o) be the third derivative of -o**8/84 - 2*o**7/105 + o**6/15 + 2*o**5/15 - o**4/6 - 2*o**3/3 + 2*o**2 - 11*o. Suppose q(b) = 0. What is b?
-1, 1
Suppose 0 = 2*r - 16 + 10. Factor -50*g**2 - 1 - 4 + 40*g - r.
-2*(5*g - 2)**2
Suppose 4*t = o + 12, -1061*t + 2*o + 6 = -1062*t. Solve 12 + 4/3*m**t - 40/3*m = 0 for m.
1, 9
Factor -2888/7 - 152/7*j - 2/7*j**2.
-2*(j + 38)**2/7
Let m = -105398/8907 + -1/5938. Let c = m + 367/30. Factor c*s**2 + 1/5 + 1/2*s + 1/10*s**3.
(s + 1)**2*(s + 2)/10
Let z(m) be the second derivative of 0*m**3 + 1/294*m**7 + 1/35*m**6 + 0*m**2 - 29*m + 2/21*m**4 + 0 + 3/35*m**5. Factor z(c).
c**2*(c + 2)**3/7
Let o = -396 + 787. Suppose -396*t + o*t = -10. Find s such that -3/8*s**3 + 81/8 - 81/8*s + 27/8*s**t = 0.
3
Let j(x) be the third derivative of -x**3 - 20*x**2 + 1/20*x**5 + 0*x - 3/40*x**6 + 0 + 3/8*x**4 + 1/70*x**7. Factor j(o).
3*(o - 2)*(o - 1)**2*(o + 1)
Let s(j) be the third derivative of -2/3*j**4 + 26*j**2 + 8/15*j**5 + 0 - 1/10*j**6 + 0*j + 0*j**3. Determine g so that s(g) = 0.
0, 2/3, 2
Suppose -10 = -4*m + 2*x, -2*m - 4*x = 3*m - 19. Suppose m*g = -g + 12. Factor 4*a**3 + a**3 - 2*a**g.
3*a**3
Let v(l) be the third derivative of -l**9/4536 + l**8/1260 - 2*l**3 + 7*l**2. Let x(p) be the first derivative of v(p). Factor x(q).
-2*q**4*(q - 2)/3
Let x(a) be the first derivative of -5*a**6/3 - 27*a**5 - 275*a**4/4 + 25*a**3/3 + 285*a**2/2 + 110*a - 148. Solve x(p) = 0.
-11, -2, -1, -1/2, 1
Let w(x) be the third derivative of 1/720*x**6 + 0*x**3 - 11*x**2 + 0*x - 1/180*x**5 + 0*x**4 + 0. Factor w(l).
l**2*(l - 2)/6
Let x(u) be the first derivative of -4*u**3/15 + 166. Let x(s) = 0. Calculate s.
0
Find z, given that 4/5 - 2/5*z**3 + 2/5*z + 2/5*z**4 - 6/5*z**2 = 0.
-1, 1, 2
Let u(z) be the first derivative of 2*z**3/3 - 20*z**2 + 38*z - 297. Factor u(t).
2*(t - 19)*(t - 1)
Let q be (-1 + 4 + 1)*(22 + 129/(-6)). Factor 16/11 + 2/11*a**q + 12/11*a.
2*(a + 2)*(a + 4)/11
Let b(f) be the second derivative of -f**5/30 - 45*f**4/2 - 6075*f**3 - 820125*f**2 + 6*f - 41. Factor b(m).
-2*(m + 135)**3/3
Let f be (4/(-6))/(32/240) + 171/27. Factor f*j + 1/3*j**2 + 4/3.
(j + 2)**2/3
Let r be (0 - (-1 + 1))/(-1). Suppose t + 0 - 3 = r. Factor -j + 6*j**2 - t*j**2 + 4*j.
3*j*(j + 1)
Factor 1331*s**2 + 25*s**4 - 85*s**3 - 1251*s**2 - 320*s**3.
5*s**2*(s - 16)*(5*s - 1)
Let h(x) be the first derivative of 4*x**3/9 + 328*x**2/3 + 26896*x/3 - 293. Factor h(b).
4*(b + 82)**2/3
Suppose 3*j - 4*j + 2 = 0. Suppose j*r - 1134 = -r. Solve r*s**3 + 77*s**2 + 147*s**4 + 3*s + 21*s + 103*s**2 = 0.
-2, -2/7, 0
Let y(f) be the second derivative of -f**6/40 - f**5/20 + f**4/8 + f**3/2 + 2*f**2 - 20*f. Let g(v) be the first derivative of y(v). Find h such that g(h) = 0.
-1, 1
Let c(i) be the first derivative of i**8/784 + 3*i**7/490 - i**5/35 + 13*i**2/2 + 1. Let l(p) be the second derivative of c(p). Factor l(y).
3*y**2*(y - 1)*(y + 2)**2/7
Determine k, given that 0*k + 0 + 5*k**2 - 1/2*k**3 = 0.
0, 10
Let a(g) = -8*g**2 + 8. Let z(d) = -2*d - 28. Let j be z(-17). Let i(v) = 23*v**2 - 23. Let h(f) = j*i(f) + 17*a(f). Solve h(c) = 0.
-1, 1
Factor 1/2*o**4 + 0*o + 14*o**3 + 0 - 30*o**2.
o**2*(o - 2)*(o + 30)/2
Let z(a) be the third derivative of 0 + 1/180*a**6 - 1/90*a**5 + 0*a**3 + 1/315*a**7 - 1/36*a**4 + 14*a**2 + 0*a. What is y in z(y) = 0?
-1, 0, 1
Let t(r) be the third derivative of 0*r**5 + 0*r**7 - 1/1176*r**8 + 0*r**3 + 3*r**2 + 0*r - 1/84*r**4 + 0 + 1/210*r**6. Solve t(n) = 0 for n.
-1, 0, 1
Solve 6/7*g + 0 - 1/7*g**3 + 5/7*g**2 = 0 for g.
-1, 0, 6
Suppose 30 = 3*c + 3. Suppose -7*n + 6*n + c = 0. Let 3*m**3 + 2*m**2 - n - 2*m**4 + 9 = 0. Calculate m.
-1/2, 0, 2
Let p be (3*-2)/((-6)/(-4)). Let n(o) = 7*o**2 + 13*o + 15. Let j(t) = -8 - 3*t**2 - 6*t + 6 - 4 - 1. Let a(v) = p*n(v) - 9*j(v). Solve a(r) = 0.
-1, 3
Suppose -5*f + 15 = 0, -2*f - 3*f + 9 = -3*p. Suppose -3*h + 13 = 2*b, 4*b - 3*h - 5 = -p*h. Suppose -2*s**2 + b*s - 2*s**2 - 2*s = 0. What is s?
0
Let i(j) be the second derivative of -j**6/70 + 33*j**5/140 - 27*j**4/28 + 25*j**3/14 - 12*j**2/7 - 7*j. Find l, given that i(l) = 0.
1, 8
Let s(d) be the third derivative of d**5/30 - 17*d**4/6 - 24*d**3 + 183*d**2. Suppose s(u) = 0. What is u?
-2, 36
Let d(s) = -48*s