, 2
Factor 0*x + 13 - 3*x - 3*x**2 - 7.
-3*(x - 1)*(x + 2)
Let v(m) be the first derivative of m**7/84 - m**6/40 + m**4/48 + m - 3. Let p(z) be the first derivative of v(z). Let p(g) = 0. Calculate g.
-1/2, 0, 1
Let k(s) be the third derivative of -s**8/84 - 2*s**7/35 - s**6/10 - s**5/15 - 4*s**2. Let k(m) = 0. Calculate m.
-1, 0
Suppose -2*w + 4 + 0 = 0. Let u(s) be the first derivative of 2 + 0*s - s**w - 1/2*s**4 + 4/3*s**3. Solve u(k) = 0.
0, 1
Let h(l) be the second derivative of 2*l**6/15 - l**4/3 + 5*l. Let h(c) = 0. Calculate c.
-1, 0, 1
Suppose 11*p = 31 + 2. What is m in -16/9*m**2 + 10/9*m**p + 4/9 + 2/9*m = 0?
-2/5, 1
Let l(q) be the third derivative of q**5/45 - 14*q**4/9 + 392*q**3/9 - 34*q**2. Solve l(o) = 0 for o.
14
Let m(f) be the second derivative of -1/40*f**5 - 1/120*f**6 - 4*f - 1/48*f**4 + 0*f**3 + 0*f**2 + 0. Solve m(v) = 0 for v.
-1, 0
Let r be 12/10 + 9/(-9). Let -2/5 + 3/5*c - r*c**2 = 0. Calculate c.
1, 2
Let h(g) = g**3 - g + 1. Let c(x) = 9*x**3 + x**2 - 10*x + 11. Let z(d) = -2*c(d) + 22*h(d). Factor z(m).
2*m*(m - 1)*(2*m + 1)
Let c(f) = -3*f**3 - 5*f**2 - 2*f. Let q(b) = -3*b**3 - 5*b**2 - 3*b. Let t(x) = 5*c(x) - 4*q(x). Factor t(d).
-d*(d + 2)*(3*d - 1)
Suppose 2*k + 8 = 6*k + 4*t, t = k - 2. Suppose 42 = 4*g + k*b, 2*g + 0*b + 9 = 5*b. Factor 4*p**5 + 12*p**3 + g*p**2 + 2*p - 2*p**5 + 2*p**4 + 6*p**4.
2*p*(p + 1)**4
Factor 0 - 3/4*w**5 + 0*w**2 + 0*w - 3/2*w**3 + 9/4*w**4.
-3*w**3*(w - 2)*(w - 1)/4
Find h such that -9*h**4 + 8 + 28*h + 13*h**3 - 2*h**2 + 11*h**4 + 32*h**2 = 0.
-2, -1/2
Let t(i) = i**2 - i - 4. Let h be t(5). Suppose -5*p - 6 + h = 0. Factor -1/4*g**p + 0*g + 1/4*g**3 + 0.
g**2*(g - 1)/4
Let y(w) be the second derivative of w**5/100 - w**4/30 + w**3/30 + 6*w. Solve y(m) = 0.
0, 1
Let m(x) = -5*x**3 - 5. Let o(q) = q**2 - 1. Let n(k) = -m(k) + 5*o(k). Factor n(r).
5*r**2*(r + 1)
Let v(r) be the third derivative of -r**6/300 - r**5/150 + r**4/30 - 6*r**2. Factor v(j).
-2*j*(j - 1)*(j + 2)/5
Let d be (4/(-32))/(7/4 + -2). Let p(q) be the second derivative of 1/12*q**4 - d*q**2 - 3*q + 0*q**3 + 0. Solve p(w) = 0 for w.
-1, 1
Factor 5*z**3 + 4*z + 5*z + 8*z - 22*z.
5*z*(z - 1)*(z + 1)
Let d be (-4)/7 + (0 - -2). Suppose 2*a + 0*a = 0. Factor 0*z + 0*z**2 + 2*z**5 + d*z**4 - 4/7*z**3 + a.
2*z**3*(z + 1)*(7*z - 2)/7
Let z be (-8)/20*(-55)/5. Factor -z*p**2 - 8/5*p**3 - 9/5 - 24/5*p - 1/5*p**4.
-(p + 1)**2*(p + 3)**2/5
Suppose 5*h + 15 + 5 = -3*w, -w = -3*h + 2. Let x be 1/(2*h/(-8)). Factor 0*b**4 + 6*b**x - 3*b**4.
3*b**4
Let g be 1*-5*-1 + -2. What is q in 0*q**4 + q**4 + 2*q**3 - q**g + 0*q**3 = 0?
-1, 0
Let n be 20/24*8/10. Let o(z) be the first derivative of -n*z**2 + 2/3*z**3 - 2 - 1/6*z**4 + 0*z. Determine t, given that o(t) = 0.
0, 1, 2
Factor 17*s**2 - 15*s**2 + 39*s**3 - 37*s**3.
2*s**2*(s + 1)
Suppose -8*u + 5*u + 9 = 0. Let n(q) be the first derivative of 1/3*q**u + 0*q**2 - q - 2. Factor n(x).
(x - 1)*(x + 1)
Let k(x) be the second derivative of -2*x**7/21 + 8*x**6/15 - 6*x**5/5 + 4*x**4/3 - 2*x**3/3 + 7*x. Solve k(y) = 0.
0, 1
Let l be 1/((-8)/(-6) - 1). Let c(q) be the third derivative of -2*q**2 - 1/120*q**5 + 0 - 1/240*q**6 + 0*q + 0*q**l + 0*q**4. Let c(f) = 0. Calculate f.
-1, 0
Suppose z = 1 + 2. Suppose m = 2*d - z, 3*m - m = 5*d - 9. Factor -2*b - 18*b**2 + b - 10*b**4 + 3*b - 26*b**d + 4.
-2*(b + 1)**3*(5*b - 2)
Let g(u) = u**2 + 10*u + 2. Let p be g(-9). Let f = p + 9. Find q, given that 0 - 4/9*q + 2/9*q**f = 0.
0, 2
Let u(o) be the first derivative of 7*o**4/20 + 4*o**3/5 - 2*o**2/5 + 1. Determine i so that u(i) = 0.
-2, 0, 2/7
Factor -21*b - 4*b**3 - 4*b**2 - b**4 + 5*b**4 + 25*b.
4*b*(b - 1)**2*(b + 1)
Let m = 16 - 10. Solve -6*c**2 + 8*c**2 + 4 - m = 0 for c.
-1, 1
Let r = -6 + 2. Let c = r + 6. Determine u so that u + 3*u**c - 3*u**2 + 2*u**2 - 3*u**2 = 0.
0, 1
Let s(z) be the first derivative of z**9/840 - z**8/1400 - z**7/420 - z**6/900 + 2*z**3/3 + 3. Let m(a) be the third derivative of s(a). Factor m(l).
2*l**2*(l - 1)*(3*l + 1)**2/5
Let g(a) be the third derivative of -a**6/160 - 3*a**5/80 + a**3/2 - 8*a**2. What is q in g(q) = 0?
-2, 1
Let r = -5 + -1. Let f be ((-9)/r)/(3/4). Factor 4/3*t + 2/3*t**f + 0.
2*t*(t + 2)/3
Let r(i) = 2*i**2 + i - 3. Let p be r(4). Suppose -4*c + p - 8 = 3*u, 2*u + 6 = 3*c. Factor 3 - 1 - 2*d**2 - u + 3.
-2*(d - 1)*(d + 1)
Let r(p) be the second derivative of p - 1/15*p**3 + 0*p**2 + 1/50*p**5 + 0 + 1/30*p**4 - 1/75*p**6. Factor r(y).
-2*y*(y - 1)**2*(y + 1)/5
Let o = 3 - -6. Let h = -9 + o. What is l in 1/3*l**5 + h*l - 1/3*l**3 + 1/3*l**4 - 1/3*l**2 + 0 = 0?
-1, 0, 1
Let f(o) = -o**3 - 2*o**2 + 2*o - 1. Let l be f(-3). Let i(a) be the second derivative of -1/12*a**3 + 1/4*a**l - a + 0 - 1/24*a**4 + 1/40*a**5. Factor i(v).
(v - 1)**2*(v + 1)/2
Let w = -3 + 5. Let o be 9 - (w - 5 - -3). Find v such that o*v**2 - 7*v**2 + 4*v**3 + 3*v**3 - 5*v**3 = 0.
-1, 0
Let q(o) be the second derivative of -o**7/189 + o**6/135 + o**5/90 - o**4/54 + 10*o. Suppose q(t) = 0. What is t?
-1, 0, 1
Let v(l) = 5*l**2 - 13*l - 4. Let z(n) be the first derivative of -n**3 + 7*n**2/2 + 2*n - 3. Let g(m) = 4*v(m) + 7*z(m). Factor g(o).
-(o + 1)*(o + 2)
Factor -200*j + 5*j**3 + 16*j**4 + 8*j**2 + 196*j + 23*j**3.
4*j*(j + 1)**2*(4*j - 1)
Let w(a) be the first derivative of -8*a**5/25 + a**4 - 16*a**3/15 + 2*a**2/5 - 22. Find s such that w(s) = 0.
0, 1/2, 1
Let v(i) be the second derivative of i**8/840 + i**7/245 + i**6/420 - i**5/210 - i**3/6 - i. Let u(s) be the second derivative of v(s). Factor u(g).
2*g*(g + 1)**2*(7*g - 2)/7
Suppose -4*p + 3*n + 1 = -24, p + 3*n = -5. Let m = -2 + p. Find z, given that 0*z + 1/2*z**5 + 0 + 1/2*z**m + 3/2*z**3 + 3/2*z**4 = 0.
-1, 0
Suppose 2*a - 11 = -1. Let q = 9 - 5. What is r in 0 - 3/4*r**a - 5/2*r**q - r**3 + 0*r + 2*r**2 = 0?
-2, 0, 2/3
Suppose -7*l = -9*l + 2. Let h be (l - 2/3)*9. Find r, given that 0*r**4 + 0 + 0*r**2 + 0*r - 2/9*r**h + 2/9*r**5 = 0.
-1, 0, 1
Suppose 2*z = -5*a + 10, 3*z - 1 = -2*a + 3. Factor -1/3*k**5 - 1/3*k - 1/3*k**4 - 1/3 + 2/3*k**3 + 2/3*k**a.
-(k - 1)**2*(k + 1)**3/3
Suppose -3*g + 14 = -3*b - 7, g = -b - 3. Factor 0 - 1/5*q + 1/5*q**g.
q*(q - 1)/5
Let k(m) be the second derivative of -5*m**4/66 - m**3/3 - 2*m**2/11 + 14*m. Factor k(o).
-2*(o + 2)*(5*o + 1)/11
What is g in 4/7 - 2/7*g**3 - 4/7*g**2 + 2/7*g = 0?
-2, -1, 1
Let g be 12/20 + (-12)/20. Solve -8/5*l**5 + 0*l + g + 14/5*l**4 + 4/5*l**3 + 0*l**2 = 0.
-1/4, 0, 2
Let y(p) be the second derivative of 2/15*p**6 + 4/5*p**5 + 0 + 2*p + 4/3*p**3 + 0*p**2 + 5/3*p**4. Factor y(x).
4*x*(x + 1)**2*(x + 2)
Let l = 16 - 12. Let o(a) be the third derivative of 0*a**5 + 0 + 0*a**l + 0*a**3 + 2*a**2 + 1/840*a**8 + 0*a + 1/300*a**6 - 2/525*a**7. Factor o(r).
2*r**3*(r - 1)**2/5
Suppose -3*z + 12 = 0, -2*y + 5*z = z + 6. Suppose -5*p + 6 = -14. Factor -6*h**2 + p*h - y*h + 2*h**3 + 7*h - 2.
2*(h - 1)**3
Let w = 115 + -227/2. Factor 1/2*n**2 + w*n**4 - 5/2*n**3 + 1/2*n + 0.
n*(n - 1)**2*(3*n + 1)/2
Let y(v) be the third derivative of -v**8/10080 - v**7/1260 - v**6/360 - v**5/60 + v**2. Let o(c) be the third derivative of y(c). Let o(i) = 0. What is i?
-1
Let u be 30/8 - 3/4. Factor 2*g**2 - u*g**2 + 0*g**2 + 2*g**2 - g.
g*(g - 1)
Let d be -3 - 3*(0 - -1). Let z(f) = -f - 4. Let j be z(d). Factor 1/4*a**4 - 1/2*a**j - 1/4*a**5 + 1/4 - 1/4*a + 1/2*a**3.
-(a - 1)**3*(a + 1)**2/4
Suppose -z = -0*z - 2*v + 8, -z = -5*v + 23. Factor 4*r - z*r + 0*r**2 - r**2.
-r*(r - 2)
What is f in 0*f**2 + 8*f**2 - 3*f**3 - 7*f**2 + 4*f**3 - 2*f = 0?
-2, 0, 1
Let g = -239 - -239. Factor -2/7*s**3 + 0 - 4/7*s**2 + g*s.
-2*s**2*(s + 2)/7
Factor 2/13*t - 2/13*t**2 + 0.
-2*t*(t - 1)/13
Let w be (-2 - -4) + (2 - 2). Let i be (4/(-6))/(1 + -3). Factor 0 - i*z**w + 2/3*z.
-z*(z - 2)/3
Let u(r) be the first derivative of -r**6/30 + 2*r**5/15 - r**4/12 - r**3/9 - r - 2. Let a(x) be the first derivative of u(x). Suppose a(d) = 0. What is d?
-1/3, 0, 1, 2
Find j such that -3/4 - 45/4*j**2 - 39/4*j**3 - 3*j**4 - 21/4*j = 0.
-1, -1/4
Suppose -5*n - x = -15, 3*n - x + 3 - 12 = 0. Let m = -2 + 7. Let -m*b + n*b - b + 0*b**3 + 6*b**2 + 9*b**3 = 0. Calculate b.
-1, 0, 1/3
Let u(y) be the second derivative of -3*y**5/20 + 9*y**4/4 - 15*y**3/2 + 21*y**2/2 - 7*y + 2. Factor u(h).
-3*(h -