46*q. Factor -3/5*j**3 - 3/5*j + q - 6/5*j**2.
-3*j*(j + 1)**2/5
Suppose 3*k + 3 = -2*j + 5, 0 = -5*k - 2*j + 6. Suppose 5*u - 3*u = 0. Solve 1/3 + u*c - 1/3*c**k = 0 for c.
-1, 1
Let t(q) be the third derivative of -q**6/720 - q**5/120 - q**4/48 + 7*q**3/6 + 2*q**2. Let a(l) be the first derivative of t(l). Solve a(w) = 0.
-1
Let 0 - 5/4*j + 5/2*j**2 - 5/4*j**3 = 0. Calculate j.
0, 1
Suppose 15 = -0*b + 5*b. Let k be 3/b*(-7)/(-14). Factor -1/4*o**4 + 0 + k*o**3 - 1/4*o**2 + 0*o.
-o**2*(o - 1)**2/4
Suppose -15 = 5*n + 15. Let m be (12/40)/(n/(-5)). Factor m*y**2 - 1/4 + 0*y.
(y - 1)*(y + 1)/4
Factor -936/5*b**3 - 48/5*b - 147/5*b**5 - 672/5*b**4 + 0 - 384/5*b**2.
-3*b*(b + 2)**2*(7*b + 2)**2/5
Let b(x) be the second derivative of x**7/357 + 2*x**6/255 - x**5/85 - 4*x**4/51 - 7*x**3/51 - 2*x**2/17 + 26*x. Factor b(c).
2*(c - 2)*(c + 1)**4/17
Let r be 115/20 - 2/(-8). Find j, given that -r*j**3 - 4*j**4 + 9*j**2 - j**5 - 3*j + 2*j - 13*j**2 = 0.
-1, 0
Let l = 47 - 91/2. Let -3*p + l + 3/2*p**2 = 0. Calculate p.
1
Let g(k) = -k**3 + 2*k**2 - 2*k + 1. Let x be g(1). Suppose x = 2*z - 0*z. Suppose -2/9*c**5 - 4/9*c**2 + 2/9*c + 4/9*c**4 + 0 + z*c**3 = 0. Calculate c.
-1, 0, 1
Let x(q) be the third derivative of 0*q + 0*q**6 + 1/60*q**5 - 2*q**2 + 0*q**3 + 0*q**4 + 0 - 1/210*q**7. Determine i so that x(i) = 0.
-1, 0, 1
Suppose 3*a - v + 1 - 22 = 0, -2*a = -4*v - 4. Factor 2/3*n**4 + a*n**2 + 0 - 4*n**3 - 16/3*n.
2*n*(n - 2)**3/3
Let a(l) be the second derivative of -5*l**4/12 - 35*l**3/3 - 245*l**2/2 - 3*l. Determine o so that a(o) = 0.
-7
Let q(k) = k**2 + 11*k - 6. Let o(r) = -10*r + 5. Let j(c) = -6*o(c) - 5*q(c). Let j(d) = 0. Calculate d.
0, 1
Suppose 14 = -k + 2*k + 2*i, -4*k + i = -29. Factor -k*b - 8 + 5*b**2 + b**2 - 4*b**2 + 2*b**3.
2*(b - 2)*(b + 1)*(b + 2)
Let f be (-26)/(-4) - (-1)/2. Suppose 9 - f - 3*h**2 + 4*h + 5*h**2 = 0. What is h?
-1
What is p in 2/3*p + 2/9*p**2 + 0 = 0?
-3, 0
Suppose x + 2*o + 11 = 0, 5*x + 3*o - 5*o - 5 = 0. Let r(p) = 2*p**2 + 4*p - 1. Let j(t) = -t**2 - t + 1. Let h(b) = x*r(b) - 3*j(b). Factor h(y).
(y - 2)*(y + 1)
Let r(s) be the second derivative of -s + 0 - 1/12*s**3 - 1/16*s**4 + 1/8*s**2. Factor r(b).
-(b + 1)*(3*b - 1)/4
Let b(p) = -7*p**2 + 8*p - 1. Let v(k) = -20*k**2 + 23*k - 3. Let c(i) = -17*b(i) + 6*v(i). Suppose c(r) = 0. Calculate r.
1
Let a(h) = h**2 + 6*h - 27. Let x be a(-9). Let w(u) be the first derivative of -16/3*u**3 + 1 + 6*u**4 + 36/5*u**5 + 5/3*u**6 + 0*u + x*u**2. Factor w(o).
2*o**2*(o + 2)**2*(5*o - 2)
Let o be 4 - (-1)/((-40)/151). Let a(x) be the second derivative of 0*x**2 + 5/6*x**4 - o*x**5 + 4*x + 0 - 1/3*x**3. Factor a(m).
-m*(m - 2)*(9*m - 2)/2
Let h(w) = 4*w**3 - 57*w**2 + 92*w - 39. Let d(s) = -s**2 + 1. Let a(b) = 5*d(b) - h(b). Let a(g) = 0. What is g?
1, 11
Let a = -335 + 337. Factor 21/4*s**a + 3/2*s + 27/4*s**3 + 3/4*s**5 + 15/4*s**4 + 0.
3*s*(s + 1)**3*(s + 2)/4
Let u(w) be the second derivative of -w**5/60 + 5*w**4/36 - w**3/6 - 3*w**2/2 + 9*w. What is q in u(q) = 0?
-1, 3
Suppose g = -2*g + 15. Let x be (-1)/(-5)*(g - 3). Factor -2/5*j**2 + 2/5*j**3 - x*j + 0 + 2/5*j**4.
2*j*(j - 1)*(j + 1)**2/5
Solve b**2 - 11 + 4 + 5*b + 11 = 0 for b.
-4, -1
Let r = -80 + 562/7. Factor 0 + 2/7*g**5 + 2/7*g**4 + 0*g - 2/7*g**2 - r*g**3.
2*g**2*(g - 1)*(g + 1)**2/7
Suppose 0 = m - u - 7, 5*m - 7*u - 30 = -3*u. Factor -5 - m*j**2 - 5 + 8*j + 2.
-2*(j - 2)**2
Factor -25*y - y**5 + 3*y**3 + 11*y**4 - 71*y**3 + y**4 + 22*y**3 + 60*y**2.
-y*(y - 5)**2*(y - 1)**2
Let k(w) = 2*w**5 + w**4 + 4*w**3 + 5*w**2 + 4*w + 4. Let s(t) = 4*t**5 + t**4 + 7*t**3 + 9*t**2 + 7*t + 7. Let n(i) = -7*k(i) + 4*s(i). Factor n(x).
x**2*(x - 1)**2*(2*x + 1)
Let h(p) = 9*p**3. Let g be h(1). Solve 7*n**4 + 9*n**2 - 2*n**4 - g*n**2 + 7*n**5 - 2*n**3 = 0.
-1, 0, 2/7
Factor -16/7*b - 32/7 - 2/7*b**2.
-2*(b + 4)**2/7
Suppose -35/3*p**3 + 10/3 - 20*p**2 - 5*p = 0. Calculate p.
-1, 2/7
Suppose 0*y + g - 1 = -y, 0 = 2*g + 2. Suppose 2*s + 2*j - 20 = 5*j, 0 = 2*s - y*j - 16. Factor 8*t + 16/3 + s*t**2 + 2/3*t**3.
2*(t + 2)**3/3
Suppose 7*p - 3*p = 8, -42 = -4*s + 3*p. Let o be 31/12 + (-3)/s. Factor o*x**2 - 3*x + 2/3.
(x - 1)*(7*x - 2)/3
Suppose -5*v - 15 = -5*p, -5*p + 3*v - 4*v + 33 = 0. Suppose 3*r - 6 = p. Factor 3*x**r + 5*x**3 - 3*x**3 - 2*x - 2*x**2 - x**4.
2*x*(x - 1)*(x + 1)**2
Let r(n) be the first derivative of n**5/70 - n**4/21 - n**3/7 - 2*n + 1. Let j(t) be the first derivative of r(t). Factor j(q).
2*q*(q - 3)*(q + 1)/7
Suppose -5*f = -20, -z = -f - f + 11. Let v = z - -5. Let 2*r**3 + 5*r - 3*r + v*r**2 + 2*r**2 = 0. Calculate r.
-1, 0
Let 0 + 4/3*o**2 - 1/3*o**5 - 2*o**3 + 4/3*o**4 - 1/3*o = 0. What is o?
0, 1
Let n be 1 - (99/20 + -4). Let r(c) be the first derivative of -n*c**5 + 0*c**2 + 0*c**4 - 1/4*c + 1/6*c**3 - 1. Factor r(o).
-(o - 1)**2*(o + 1)**2/4
Let j(k) be the first derivative of 2*k**3/21 + 8*k**2/7 + 32*k/7 + 13. What is i in j(i) = 0?
-4
Factor -48*m + 32 - 144*m**3 + 140*m**3 + 22*m**2 + 2*m**2.
-4*(m - 2)**3
What is c in -2/11*c + 6/11*c**3 + 0 + 2/11*c**4 - 4/11*c**5 - 2/11*c**2 = 0?
-1, -1/2, 0, 1
Suppose 4*d = -0*d + 8, -35 = -5*u - 5*d. Factor -r**2 - 4 + u + r**3 - r + 0.
(r - 1)**2*(r + 1)
Let x(z) be the third derivative of 0*z**3 - 1/30*z**4 - 2*z**2 + 1/30*z**5 + 0 + 0*z. Solve x(r) = 0.
0, 2/5
Let z(p) = -7*p**4 + 7*p**3 + 9*p**2 - p - 2. Let f(g) = -8*g**4 + 8*g**3 + 10*g**2 - g - 2. Let w(h) = 6*f(h) - 7*z(h). Find x such that w(x) = 0.
-1, 1, 2
Let z(r) be the first derivative of 2*r**3/9 + r**2 + 4*r/3 + 13. Suppose z(f) = 0. Calculate f.
-2, -1
Let i(k) = -12*k**2 - 12*k - 6. Let z = 9 + -10. Let j(u) = -u**2 - u. Let d(f) = z*i(f) + 15*j(f). Let d(w) = 0. Calculate w.
-2, 1
Let j(t) be the first derivative of t**5/60 - t**4/12 + t**3/6 + t**2/2 + 1. Let f(c) be the second derivative of j(c). Factor f(u).
(u - 1)**2
Suppose -2*d - 3*d = 0. Suppose 3*b = -d*w - w - 8, 28 = 4*w - 3*b. Suppose -4*r**2 + r**4 - r**2 + 0*r**2 + w*r**2 = 0. Calculate r.
-1, 0, 1
Let m(x) = -3*x + 3*x - 6*x + x**2 + 2. Let w be m(6). Factor 0*j**4 - 2*j**4 + 0*j**3 - w*j**3.
-2*j**3*(j + 1)
Suppose 0 = t + 2*j - 4, 4 = t - 3*j. Let u be (2/t)/((-1)/(-8)). Factor 2*d**u - 2*d**3 + 12*d**4 + 34*d**3 + 8*d**2.
2*d**2*(d + 2)*(7*d + 2)
Suppose -z - 10*o = -7*o - 17, 20 = 4*o. Factor -16/5*j - 32/5 - 2/5*j**z.
-2*(j + 4)**2/5
Let o = -119 + 120. Let i(d) be the first derivative of -2/5*d - o - 4/15*d**3 - 3/5*d**2. Find m such that i(m) = 0.
-1, -1/2
Let t(p) = -22*p**2 + 2*p + 18. Let m(x) = 2*x + 1. Let v(i) = 6*m(i) - t(i). What is f in v(f) = 0?
-1, 6/11
Let d(w) be the third derivative of w**6/24 + w**5/6 + 5*w**4/24 + 34*w**2. Let d(v) = 0. Calculate v.
-1, 0
Let q(g) be the first derivative of g**6/135 + g**5/90 - g**4/54 - g**3/27 - 3*g - 2. Let m(i) be the first derivative of q(i). Solve m(t) = 0.
-1, 0, 1
Let v(n) be the first derivative of n**6/48 - n**5/40 - n**4/16 - 3. Suppose v(b) = 0. Calculate b.
-1, 0, 2
Suppose 0 = w - 4*i - 19, w - 2*w = 4*i + 13. Suppose u = -a + 8, -8 = 3*u - u - 4*a. Find d such that 1/3*d + 0 + 0*d**w - 2/3*d**u - 1/3*d**5 + 2/3*d**2 = 0.
-1, 0, 1
Let i(u) be the third derivative of u**5/15 + 14*u**2. Factor i(b).
4*b**2
Let k = -4 - -6. Suppose 0*x = -x - 3, -k*x = 3*m - 3. Factor -m*s**2 - s**2 - s + 5*s**2.
s*(s - 1)
Let o(k) be the second derivative of 0 - 3*k - 1/50*k**5 + 0*k**4 + 0*k**3 + 0*k**2 + 1/75*k**6. Let o(j) = 0. What is j?
0, 1
Let a be 40/16*(-3248)/(-90). Let f = a + -90. Find x such that 4/9 - f*x**4 + 2/3*x**2 + 10/9*x - 2/9*x**3 = 0.
-1, 2
Let d(x) be the first derivative of -x**4/2 - 2*x**3/9 + x**2 + 2*x/3 - 1. Suppose d(l) = 0. Calculate l.
-1, -1/3, 1
Let g(x) = -11 + x + 4 + 6. Let n(h) = h**2 - 6*h + 6. Let w(o) = -o + 1. Let p(k) = n(k) - 5*w(k). Let i(l) = 2*g(l) + 2*p(l). Suppose i(b) = 0. What is b?
0
Let -13*j**5 + 21*j**4 + 4*j**5 + 0*j**3 - 15*j**3 + 3*j**2 = 0. Calculate j.
0, 1/3, 1
Factor 177*c**4 + 7*c**5 - 2*c**5 - 172*c**4.
5*c**4*(c + 1)
Let s be 2*1 + (10 - 10). Suppose s*k - 5*w + 8 - 2 = 0, 8 = k + 3*w. Factor 0 + 3/5*x**k + 3/5*x**4 + 0*x - 6/5*x**3.
3*x**2*(x - 1)**2/5
Let f = 1575/2 - 787. Solve m**2 - 1/2 + f*m = 0.
-1, 1/2
Let p(u) be the second derivative of -u**7/231 - u**6/33 - u**5/11 - 5*u**4