t l(x) = 0 - 8*x**2 + 12*x**2 + 6 - 1 + 5*x. Let i(s) = -s**3 + 9*s**2 - 10. Let a be i(9). Let m(h) = a*r(h) - 2*l(h). Factor m(j).
2*j**2
Let r(u) be the third derivative of u**8/392 + u**7/147 + u**6/420 - u**5/210 - 8*u**2. Find s such that r(s) = 0.
-1, 0, 1/3
Let q = 2 - 0. Let y(s) be the third derivative of -1/672*s**8 - 1/140*s**7 - 1/120*s**6 + s**q + 1/60*s**5 + 0 + 1/16*s**4 + 1/12*s**3 + 0*s. Factor y(r).
-(r - 1)*(r + 1)**4/2
Let v(t) be the third derivative of -5*t**2 + 1/20*t**5 - 1/120*t**6 + 0*t**3 + 0 + 0*t + 0*t**4. Factor v(f).
-f**2*(f - 3)
Let i(j) be the second derivative of -3*j**5/50 - 7*j**4/30 + 4*j**2/5 - 5*j. Factor i(x).
-2*(x + 1)*(x + 2)*(3*x - 2)/5
Let b(o) = 3*o**2 + 2*o + 5. Let y(a) = -3*a**2 - 3*a - 6. Let x(t) = -6*b(t) - 5*y(t). Solve x(h) = 0.
0, 1
Let n(v) be the third derivative of v**6/20 - v**5/15 - v**4/12 + v**2. Let n(p) = 0. What is p?
-1/3, 0, 1
Let m be 13 + 30/(-5) + -7. Determine q, given that m + 1/5*q**2 - 4/5*q = 0.
0, 4
Let 1/5*t - 1/5*t**2 + 2/5 = 0. Calculate t.
-1, 2
Let g(d) = 2*d + 3. Let v be g(3). Let z be 0 - (2 - (v + -3)). Factor 0 - 2/3*y**2 - 2/3*y**3 + 2/3*y + 2/3*y**z.
2*y*(y - 1)**2*(y + 1)/3
Let a(q) be the third derivative of q**6/180 - 4*q**5/45 + 13*q**4/36 - 2*q**3/3 + 46*q**2. Suppose a(w) = 0. What is w?
1, 6
Let x = -6 - -9. Factor 7*n**x + 11*n**3 - 20*n**3.
-2*n**3
Let o be (-22)/(-4) - (-2)/(-4). Suppose 2*y**2 - o*y + 6 + y**2 - 4*y = 0. What is y?
1, 2
Let g(d) be the third derivative of -5*d**5/66 + 5*d**4/22 - 3*d**3/11 - 2*d**2. Find z such that g(z) = 0.
3/5
Let o = 3631/9 + -403. Let v be 21/6*8/14. Find h such that -10/9*h - 2/9*h**3 - o - 8/9*h**v = 0.
-2, -1
Let w = 188/5 - 37. Let -3/5*m**2 - 3/5*m**3 + 3/5 + w*m = 0. Calculate m.
-1, 1
Let s(f) be the third derivative of f**8/336 + f**7/35 + f**6/15 - f**5/30 - 3*f**4/8 - 2*f**3/3 - 4*f**2. Factor s(o).
(o - 1)*(o + 1)**3*(o + 4)
Let x(i) = -i - 15. Let d be x(-17). Let p(v) be the third derivative of 0 + d*v**2 + 0*v + 1/30*v**5 + 0*v**3 + 1/60*v**6 + 0*v**4. Solve p(g) = 0.
-1, 0
Let t(l) = -5*l**2 + 2*l + 3. Let k(w) = -w - 1. Let m(h) = 6*k(h) + t(h). Let a(s) = -6*s**2 - 4*s - 4. Let o(q) = -3*a(q) + 4*m(q). Factor o(y).
-2*y*(y + 2)
Let 6*h**2 + 7 - 12*h + 9 - 4 - 3*h**2 = 0. What is h?
2
Let k be 92/22 + 6/(-33). Suppose -3*q + t + 3*t + 22 = 0, k*q - 4*t - 24 = 0. Solve -b**4 - 4*b**3 + b**3 + b**5 + b**2 + 0*b**5 + q*b**3 = 0.
-1, 0, 1
Factor -13/3*u**2 + 4*u + 2*u**3 - 1/3*u**4 - 4/3.
-(u - 2)**2*(u - 1)**2/3
Find w, given that 2 + w**2 - 5*w**2 - 24*w + 28 - 2 = 0.
-7, 1
Let m be -4 - ((-210)/(-9))/(-5). What is o in -4/3*o + m*o**2 + 0 = 0?
0, 2
Find v such that -1/5*v**3 - 2/5*v**2 + 0 + 0*v = 0.
-2, 0
Determine v so that 1/2*v**3 - 2*v**2 - 3 - 11/2*v = 0.
-1, 6
Let f = -33 - -35. Let v(l) be the second derivative of -1/24*l**4 + 3*l + 1/12*l**3 + 0*l**f + 0. Determine m, given that v(m) = 0.
0, 1
Determine v so that -2/11*v**4 + 2/11*v**5 - 4/11*v**3 + 2/11*v + 4/11*v**2 - 2/11 = 0.
-1, 1
Suppose 0 = -5*c + 4 + 6. Let j(f) be the second derivative of c*f + 0*f**3 - 3/7*f**7 + 0*f**2 + 7/10*f**5 + 0*f**6 + 0 + 1/3*f**4. Solve j(m) = 0 for m.
-2/3, -1/3, 0, 1
Let i(s) = -3*s**4 + 4*s + s**2 + s**4 + 5 - 23*s**3 + 7*s**5 + s - 12*s**4. Let w(d) = d**5 + d**3 - d**2 - d - 1. Let m(b) = i(b) + 5*w(b). Solve m(l) = 0.
-1/2, -1/3, 0, 2
Suppose -18*s = -20*s - 2, 0 = -2*o - 4*s. Factor -2/3 - 2*q**o - 2/3*q**3 - 2*q.
-2*(q + 1)**3/3
Let i be 1 + 17 + (-2)/2. Let k = -14 + i. Suppose 0*d**k + 2/9*d - 2/9*d**5 - 4/9*d**4 + 4/9*d**2 + 0 = 0. Calculate d.
-1, 0, 1
Let f(a) be the third derivative of -a**5/150 + a**4/30 + 12*a**2. Factor f(b).
-2*b*(b - 2)/5
Let w = 13 + -7. Factor 0 - 2*b**3 + 4*b**2 + 2 - 2 - 8*b**4 + w*b**5.
2*b**2*(b - 1)**2*(3*b + 2)
Let m be ((-8)/20)/(28/(-20)). Factor 0 + m*u**2 + 2/7*u.
2*u*(u + 1)/7
Let a be (-3)/(-5) - -13*3/(-90). Let x(c) be the first derivative of -9/2*c - 3/2*c**2 - a*c**3 + 4. Let x(s) = 0. Calculate s.
-3
Let k(q) = 2*q**3 - q**2 + 1. Let w be k(1). Suppose -c - w = -2*c. Factor c*s + 0*s**3 + 2*s**2 - 4*s**2 + 2*s**4 - 2*s**3.
2*s*(s - 1)**2*(s + 1)
Let l(h) be the third derivative of -h**7/735 + h**6/60 - 11*h**5/210 + 5*h**4/84 - 2*h**2 - 2. Determine z, given that l(z) = 0.
0, 1, 5
Let a(q) be the third derivative of 0*q**4 - 3*q**2 + 0 + 0*q + 0*q**3 - 1/240*q**5. Find c such that a(c) = 0.
0
Let b(m) be the first derivative of 3*m**4/8 - 2*m**3 + 3*m**2 - 15. Factor b(d).
3*d*(d - 2)**2/2
Let m(b) = b**3 + 7*b**2 - b + 14. Let n be m(-7). Let s be 165/n + 4/28. Factor -s*g + 2 + 7/2*g**2.
(g - 2)*(7*g - 2)/2
Factor 12/7 - 3/7*r**3 + 0*r - 9/7*r**2.
-3*(r - 1)*(r + 2)**2/7
Let j = -1607/2 + 804. Factor 2*i - j*i**4 - i**2 - 2*i**3 + 3/2.
-(i - 1)*(i + 1)**2*(i + 3)/2
Let n be 6/8 + (-2)/(-8). Suppose -n = -l + 3. Find m, given that 2*m**3 - 3*m**4 + 0*m**3 + 2*m**l - m**2 = 0.
0, 1
Factor 2*w + 4/3 + 2/3*w**2.
2*(w + 1)*(w + 2)/3
Suppose 3*o = o + 4. Let h(u) be the first derivative of 2*u**o - 2*u - 2 - 2/3*u**3. Factor h(x).
-2*(x - 1)**2
Let y(n) be the third derivative of 1/15*n**6 - 5/12*n**4 + 1/168*n**8 + 0*n + 0 - 2/3*n**3 - 1/15*n**5 + n**2 + 4/105*n**7. Suppose y(h) = 0. Calculate h.
-2, -1, 1
Let n = -23 - -23. Suppose 0*k = -5*j + 5*k + 20, -j - k - 4 = n. Determine o, given that -2/7*o**4 + 2/7*o**2 + j*o + 0 - 2/7*o**3 + 2/7*o**5 = 0.
-1, 0, 1
Suppose 0*i - 4*i + 8 = 0. Let h(t) = 3*t - 19. Let b be h(7). Determine n, given that n**2 + i*n**2 - b*n**2 = 0.
0
Let c be ((-33)/(-12) + -4)*-4. Find o such that -8/9*o - 14/3*o**3 - 40/9*o**4 + 0 + 40/9*o**2 + 50/9*o**c = 0.
-1, 0, 2/5, 1
Factor -3*a**2 + a**3 + 263*a - 263*a - 2*a**2.
a**2*(a - 5)
Let o(k) = -k**3 - 7*k**2 - 2*k + 8. Let i be o(-6). Let c be (-12)/i*(-2 - -6). Find g, given that 8/3*g**c - 6*g - 4/3 - 2*g**2 = 0.
-1, -1/4, 2
Factor -2*q**3 + q - 2*q**4 + 2*q**2 - q + 2*q + 0*q**4.
-2*q*(q - 1)*(q + 1)**2
Suppose -8*x = -4*x. Suppose x*m + 2 = m. Factor 0*o - 1/3*o**m + 0.
-o**2/3
Let m(w) be the first derivative of -w**3/12 - w**2/4 + 3*w/4 - 10. Find v such that m(v) = 0.
-3, 1
Let b(z) be the second derivative of z**4/3 - 2*z**2 - 8*z. Factor b(d).
4*(d - 1)*(d + 1)
Solve -1/8*s**5 + 3/8 + 7/8*s + 1/4*s**2 - 5/8*s**4 - 3/4*s**3 = 0.
-3, -1, 1
Let i be (-28)/(-14)*2/7. Let o(m) be the first derivative of 3/7*m**2 + 2/21*m**3 - 2 + i*m. Determine s so that o(s) = 0.
-2, -1
Let q = -526/11 + 48. Factor -2/11 + 4/11*k - q*k**2.
-2*(k - 1)**2/11
Let o(s) = -s**4 - s**3 - s. Let k(a) = -5*a**4 + 19*a**3 - 33*a**2 + 19*a - 4. Let h(g) = k(g) - o(g). Solve h(b) = 0.
1/2, 2
Let c = -19 + 22. Factor 5 + 4 - 5 + 6*j**c - 22*j**3 + 36*j**2 - 24*j.
-4*(j - 1)**2*(4*j - 1)
Determine m so that 0 - 1/4*m**2 + 1/4*m = 0.
0, 1
Let f(b) be the second derivative of b**7/70 - 3*b**6/25 - 3*b**5/100 + 3*b**4/10 + 3*b - 2. Determine u so that f(u) = 0.
-1, 0, 1, 6
Let o(w) be the third derivative of -w**5/20 - 3*w**4/8 - 38*w**2. Factor o(h).
-3*h*(h + 3)
Suppose 2*y - 3*q + 8 = 0, y - 3*q = -2*y - 6. Let b be 1 + -2*2/20. Find s, given that -4/5 - 1/5*s**y - b*s = 0.
-2
Suppose -i + 22 = -5*c, 0*c - 4*c + 40 = 4*i. Determine a so that 3*a + 2 - i*a + a**2 + 6*a**2 = 0.
2/7, 1
Let a(v) be the second derivative of 1/21*v**7 + 16/3*v**4 + 16/3*v**3 + 8/15*v**6 + 0 + v + 0*v**2 + 12/5*v**5. What is u in a(u) = 0?
-2, 0
Suppose 74*w = 69*w + 15. Let u(y) be the second derivative of 2*y + 1/10*y**5 - y**2 + 1/6*y**4 + 0 - 1/3*y**w. What is f in u(f) = 0?
-1, 1
Let o be -10*-3*(-2)/(-15). Factor 0*w - w**2 - 3*w - 6 + o.
-(w + 1)*(w + 2)
Let l(i) be the second derivative of i**5/70 + i**4/7 + 3*i**3/7 + 4*i**2/7 + 14*i + 2. Factor l(o).
2*(o + 1)**2*(o + 4)/7
Let d(a) = a**2 - a. Let g(p) = 24*p**2 - 28*p + 4. Let w(s) = 44*d(s) - 2*g(s). Determine i, given that w(i) = 0.
1, 2
Let d(p) = -4*p**2 + 12*p + 8. Let y(a) = -8*a**2 + 25*a + 15. Let r(s) = 9*d(s) - 4*y(s). Factor r(u).
-4*(u - 3)*(u + 1)
Find r, given that 2/19*r**2 + 4/19*r + 2/19 = 0.
-1
Let t(i) be the second derivative of i**7/105 - i**5/50 - 4*i. Suppose t(y) = 0. What is y?
-1, 0, 1
Suppose 0*s - 2*s = -14. Let r be 1 + 27/s + -4. Factor 2/7 + 2/7*b**3 + 6/7*b**2 + r*b.
2*(b + 1)**3/7
Let m be 12/(-8) + 4/2. Let a be ((-1)/