 + 64*c. Factor 0 + 0*h + 3/5*h**c - 21/5*h**4 + 0*h**2 + 0*h**3.
3*h**4*(h - 7)/5
Suppose -33*h + 38*h - 10 = 0. Factor 20 + 55 + 3*v**h + 30*v - 15*v + 15*v.
3*(v + 5)**2
Suppose -38*b = -59 - 93. Factor -6/5*n**2 + 0 - 2/3*n**b - 4/15*n - 8/5*n**3.
-2*n*(n + 1)**2*(5*n + 2)/15
Let y be (3 - -23)/13 + 24/(-14). Factor 8/7*o - y*o**3 + 0*o**2 + 0.
-2*o*(o - 2)*(o + 2)/7
Let f(d) be the first derivative of -d**4/14 - 16*d**3/21 - 20*d**2/7 - 32*d/7 + 73. Factor f(z).
-2*(z + 2)**2*(z + 4)/7
Let d = 17 + -15. Suppose 14*r**3 - r + 10*r**d + 2*r - 2*r**4 + r + 8*r**4 = 0. Calculate r.
-1, -1/3, 0
Let r(f) be the third derivative of 0*f - f**2 + 1/35*f**5 + 1/21*f**3 + 1/735*f**7 + 1/21*f**4 + 6 + 1/105*f**6. Factor r(i).
2*(i + 1)**4/7
Let y(s) be the third derivative of -s**6/720 - 19*s**5/360 + s**4/144 + 19*s**3/36 - 67*s**2. Factor y(n).
-(n - 1)*(n + 1)*(n + 19)/6
Let a(l) be the first derivative of 0*l**2 + 9/56*l**4 - 5 + 0*l + 1/840*l**6 - 3/140*l**5 - l**3. Let k(o) be the third derivative of a(o). Factor k(y).
3*(y - 3)**2/7
Let x(l) be the second derivative of l**4/3 - 13*l**3/51 - 2*l**2/17 - 11*l - 5. Factor x(z).
2*(2*z - 1)*(17*z + 2)/17
Suppose -2*i + 4 = -0. Let y be ((-2)/(-8))/(8*(-2)/(-128)). Determine v, given that -2*v**y + i*v**4 + 18 + 24*v + v**2 - 3*v**2 - 8*v**3 = 0.
-1, 3
Let s(v) be the first derivative of -3 - 1/12*v**4 - 9/2*v**2 + 6*v + v**3. Let g(o) be the first derivative of s(o). Factor g(t).
-(t - 3)**2
Let f(u) be the second derivative of u**5/10 - 2*u**4/3 + u**3/3 + 6*u**2 - 3*u + 17. Determine l so that f(l) = 0.
-1, 2, 3
Let t be 8/20 + (-4)/(-15). Let h be (18/3)/2 - (-1 + 0). Suppose t*p**2 - 4/3*p**h + 3*p - 3*p**3 + 2/3 = 0. Calculate p.
-2, -1, -1/4, 1
Factor 5*z + 12*z**4 - 46*z**3 - z**5 - 30*z + 8*z**2 + 52*z**2 + 0*z.
-z*(z - 5)**2*(z - 1)**2
Find c, given that 22*c**3 + 802*c**2 + 2*c**4 - 374*c**2 + 40*c - 364*c**2 + 4*c**3 = 0.
-10, -2, -1, 0
Let l(a) be the second derivative of a**7/42 + a**6/15 - 3*a**5/20 - a**4/3 + 2*a**3/3 - 72*a - 1. Determine h so that l(h) = 0.
-2, 0, 1
Factor 42 + 3876*s + 4*s**2 + 42 - 3964*s.
4*(s - 21)*(s - 1)
Let m = 33 - 31. Factor -2*h - 3*h**2 - h + 6*h**m.
3*h*(h - 1)
Let k(h) = h**2 - 1. Let y be k(-2). Let q be ((-4)/(-2) - 0) + y. Factor -16*v**2 + 0*v - 8 + 15*v + 4*v**3 + q*v.
4*(v - 2)*(v - 1)**2
Let l be (1/(-4) + 50/40)*4. Find h, given that 2*h**l - 31*h**2 - 44*h + 30*h + h**4 + 20*h**3 + 22*h = 0.
-8, 0, 1/3, 1
Let z(d) be the second derivative of -d**7/1960 - 11*d**6/1680 - 3*d**5/140 - d**4/4 - 9*d. Let j(q) be the third derivative of z(q). Solve j(n) = 0.
-3, -2/3
Solve -8 - 2 - 16*s - 2 - 12*s**2 - s**3 + 0*s**3 + 5*s**2 = 0.
-3, -2
Let w = -275 - -1376/5. Let h(p) be the first derivative of p + 2*p**3 - 3 + 2*p**2 + p**4 + w*p**5. Factor h(y).
(y + 1)**4
Let y(h) be the first derivative of -3/4*h**4 + 0*h - 23 + 0*h**2 + 4*h**3. Determine l, given that y(l) = 0.
0, 4
Let v be (24/(-20))/((-8)/60). Factor v + 21*p - 20*p + 3*p**2 - 13*p.
3*(p - 3)*(p - 1)
Factor -4*j + j - 4607*j**2 + 6*j**3 + 4 + 4605*j**2 + 0 - 3*j - 2*j**4.
-2*(j - 2)*(j - 1)**2*(j + 1)
Suppose 561*y - 15546 + 51322 = 1679*y. Solve 60*c + 24 - 64/9*c**3 + y*c**2 = 0.
-3/4, 6
Let m be (-1740)/145 - 86/(-7). Let 2/7*r**3 - m*r + 0 + 0*r**2 = 0. What is r?
-1, 0, 1
Factor 1/8*d**2 + 1/8*d - 1/4.
(d - 1)*(d + 2)/8
Let m be ((-21)/6 + 3)*-6. Suppose -m*l = -l. Let l*s - 1 - s - s**2 + 3*s = 0. Calculate s.
1
Let l(c) be the second derivative of 9/5*c**2 + 7/100*c**5 + 0 - 2/3*c**4 + 9*c + 17/10*c**3. Factor l(a).
(a - 3)**2*(7*a + 2)/5
Suppose d - 14 = -7. Suppose d*h - 11*h + 12 = 0. Factor -4*f**2 + 7*f**2 - 6*f**h + 6*f**4 - 3*f**4.
3*f**2*(f - 1)**2
Let p(g) be the first derivative of 3/20*g**4 + 0*g + 2/5*g**3 - 29 + 0*g**2. Factor p(v).
3*v**2*(v + 2)/5
Factor 20*t**2 - 6*t**2 + 26553*t**3 - 26564*t**3 + t**4 + 0*t**4 + 44*t - 72.
(t - 9)*(t - 2)**2*(t + 2)
Suppose 0 = -3*u + 2*i + 6, 4*i - 12 = 0. Suppose -3*y - 14 = -4*o - 2*y, -3*y + 6 = 0. Suppose -v**u - 2*v**3 + v**4 - v**o + 3*v**3 = 0. What is v?
0, 1
Let r(u) be the first derivative of u**6/5 + 16*u**5/25 + 7*u**4/10 + 4*u**3/15 - 69. Let r(n) = 0. Calculate n.
-1, -2/3, 0
Let b(a) = -4*a**3 + 14*a**2 - 39*a + 9. Let q(x) = 2*x**3 + x - 3. Let k(g) = 2*b(g) + 6*q(g). Let k(r) = 0. What is r?
-9, 0, 2
Let y(v) be the first derivative of 2*v**6/15 + v**5/5 - 6*v + 12. Let k(t) be the first derivative of y(t). Find h, given that k(h) = 0.
-1, 0
Let d be 720/(-20)*(-2)/64. Factor -d*t + 3/4 + 3/8*t**2.
3*(t - 2)*(t - 1)/8
Suppose 0 = 47*k - 20*k. Let s(x) be the second derivative of -1/5*x**5 - 2/15*x**6 + k + 1/3*x**4 + 2/21*x**7 + 0*x**2 + 0*x**3 + 13*x. Factor s(j).
4*j**2*(j - 1)**2*(j + 1)
Let y(u) be the third derivative of 1/15*u**6 + 1/525*u**7 + 12*u**2 + 49/15*u**4 + 0 + 0*u - 343/15*u**3 + 21/25*u**5. Factor y(l).
2*(l - 1)*(l + 7)**3/5
Let h(x) be the first derivative of 12*x - 1/6*x**3 - 1/6*x**4 + 1/2*x**2 + 11. Let y(d) be the first derivative of h(d). Factor y(r).
-(r + 1)*(2*r - 1)
Let g be 3132/756 - (-5)/(-35). Find x such that 12*x - 9/2 + 0*x**3 + 3/2*x**g - 9*x**2 = 0.
-3, 1
Suppose m + 3*d = -0*d + 1, -2*m - 5*d + 3 = 0. Suppose -k - 2*w = -8, w + 2 = m. Factor 2*c**2 - 4 - c**4 - 11*c + 3*c**k + 6*c**3 + 5*c.
2*(c - 1)*(c + 1)**2*(c + 2)
Let s be -8*((-2)/(-8))/(-1) + -2. Let c(z) be the second derivative of -1/4*z**2 + 1/12*z**4 + 1/12*z**3 - 3*z + s. Factor c(r).
(r + 1)*(2*r - 1)/2
Let f(c) be the first derivative of c**6/1260 + c**5/14 + 75*c**4/28 + 47*c**3/3 + 1. Let v(b) be the third derivative of f(b). Factor v(z).
2*(z + 15)**2/7
Let p = -2/39525 + 7935743/26350. Let b = 302 - p. Suppose -1/2*v**2 - 1/3 + 1/6*v**4 - 1/6*v**3 + b*v = 0. Calculate v.
-2, 1
Let m = 1938 + -1934. What is k in 8/9*k**m - 8/9*k - 20/9*k**2 + 16/9 + 2/9*k**5 + 2/9*k**3 = 0?
-2, 1
Let g(f) be the first derivative of 5/2*f - 5/6*f**3 + 13 + 0*f**2. Determine z, given that g(z) = 0.
-1, 1
Let m(c) = c**4 + c + 1. Let l be (-4)/(-30) + 86/30. Let k(d) = -5*d**4 - 2*d**3 + 2*d**2 - d - 3. Let b(u) = l*m(u) + k(u). Factor b(z).
-2*z*(z - 1)*(z + 1)**2
Let i(s) be the second derivative of s**5/4 + 5*s**4/2 + s - 85. Factor i(x).
5*x**2*(x + 6)
Let w(f) be the third derivative of 1/180*f**6 - 8*f**2 + 0 + 0*f**3 - 1/315*f**7 + 1/90*f**5 + 0*f - 1/36*f**4. What is y in w(y) = 0?
-1, 0, 1
Let p(g) = -g**2 - 8*g - 21. Let z(r) = 2*r - 4*r**2 - 10*r - 22 + 3*r**2. Let k(x) = -6*p(x) + 5*z(x). Factor k(a).
(a + 4)**2
Let x be (-4 + (-4)/(-6))/(4/(-6)). Factor 8 - x*s - 2*s**3 + 15*s**2 - 5*s**2 - 11*s + 0*s.
-2*(s - 2)**2*(s - 1)
Let k(s) = 3*s - 29. Let b be k(11). Solve -b - g - 3*g**2 + 7 + g = 0 for g.
-1, 1
Let -26/11*b - 6/11 + 6/11*b**5 + 26/11*b**4 - 20/11*b**2 + 20/11*b**3 = 0. What is b?
-3, -1, -1/3, 1
Let d(l) be the first derivative of -l**3 - 366*l**2 - 44652*l - 503. What is s in d(s) = 0?
-122
Suppose -5*t = -1 - 9. Suppose 0 = -3*i + t + 10. Factor 16*y**2 - 14*y**4 + 6*y**4 - 4*y - 5*y**3 + 0*y**3 - 17*y**i.
-y*(y + 1)*(5*y - 2)**2
Let w(y) be the first derivative of 256*y**3/7 - 48*y**2/7 + 3*y/7 - 100. Factor w(q).
3*(16*q - 1)**2/7
Let a(j) be the first derivative of j**5/45 - 5*j**4/12 + 26*j**3/9 - 80*j**2/9 + 32*j/3 - 241. Suppose a(d) = 0. Calculate d.
1, 4, 6
Let n(z) = -2*z**3 + 9*z**2 - 5*z + 1. Let g be n(4). Let x be (-18)/27 - 14/g. Factor w**2 + 8*w - x*w + w**2 - 6*w**2.
-4*w*(w - 1)
Let a(d) be the first derivative of -2*d**5/25 + d**4/2 - 6*d**3/5 + 7*d**2/5 - 4*d/5 - 208. Solve a(l) = 0.
1, 2
Let x = 55 + -95. Let c be (-122)/x - (-4)/(-16). Factor -c*y**2 + 12/5*y + 2/5.
-2*(y - 1)*(7*y + 1)/5
Let i(a) be the first derivative of 17 + 0*a - 3/16*a**4 + 0*a**3 + 0*a**2 + 3/20*a**5. Find u such that i(u) = 0.
0, 1
Let v(j) = -2*j**2 - j + 3. Let o be v(0). Let h(q) = q**2 - 2*q - 1. Let d be h(-1). Find y such that -5 - y**2 + d + 3*y**3 + 4*y**2 - o*y = 0.
-1, 1
Solve -69/4*a - 117/2 + 3/4*a**2 = 0 for a.
-3, 26
Let v(d) be the second derivative of -d**6/72 + 5*d**5/12 - 125*d**4/24 + 17*d**3/6 - 17*d. Let i(w) be the second derivative of v(w). Factor i(o).
-5*(o - 5)**2
Let q(x) be the first derivative of 0*x**5 - 1/72*x**4 + 0*x + 0*x**2 - 4 + 1/1080*x**6 - 1/3*x**3. Let h(r) be th