= 3*u + 2*u. Factor 5*s - u*s**2 - 3*s + 4 - 2*s + 2*s.
-2*(s - 2)*(s + 1)
Let r(b) be the third derivative of b**8/4200 + b**7/1050 + b**6/900 + b**3 + 2*b**2. Let g(f) be the first derivative of r(f). Factor g(p).
2*p**2*(p + 1)**2/5
Let c be 1 + 8/3*3/2. Let g(q) = q - 1. Let h be g(4). Find a such that -3 + 2*a**4 + 6*a - a**3 + a**4 - c*a**h = 0.
-1, 1
Let q(a) = -9*a**4 + 0*a**2 + 5*a**2 + 4*a**2 + 5*a + 2*a**3. Let z(l) = 4*l**4 - l**3 - 4*l**2 - 2*l. Let v(g) = 6*q(g) + 14*z(g). Factor v(p).
2*p*(p - 1)**2*(p + 1)
Let j(v) be the first derivative of 1/10*v**4 + 1 + 4/5*v + 8/15*v**3 + v**2. Find f such that j(f) = 0.
-2, -1
Factor -4*f**2 + 59 + 3*f**2 + 3*f - 57 - 3*f**3 - f**4.
-(f - 1)*(f + 1)**2*(f + 2)
Let b(f) = -8*f**2 + 25*f - 30. Let n(o) = -15*o**2 + 50*o - 60. Let k(i) = 5*b(i) - 3*n(i). Factor k(z).
5*(z - 3)*(z - 2)
Let -8*m - 13*m**2 + 15 + 14*m**2 + 1 = 0. Calculate m.
4
Let k(g) = -g**4 + 3 + 5*g**3 - 3*g**3 + 4*g**2 - 6 + 4*g. Let a(l) = l**4 - 3*l - 3*l**2 + 0 - l**3 + 0 + 2. Let b(m) = -6*a(m) - 4*k(m). Factor b(v).
-2*v*(v - 1)*(v + 1)**2
Suppose 20 = -0*r + 4*r. Solve 2*d**4 + 0*d**r + 2*d**2 + 2*d**5 - 2*d**3 + 0*d**5 - 4*d**2 = 0 for d.
-1, 0, 1
Let w be 1*(0 + (-2 - -2)). Let y(z) be the first derivative of 2/15*z**3 + 0*z + 1 - 4/25*z**5 - 1/10*z**4 + w*z**2. Solve y(q) = 0.
-1, 0, 1/2
Let b(z) be the first derivative of -z**3 - 6*z**2 - 9*z + 5. Solve b(r) = 0 for r.
-3, -1
Let a(q) be the third derivative of 1/105*q**7 + 0 + 0*q - 1/30*q**5 + 0*q**3 + 2*q**2 + 1/60*q**6 - 1/12*q**4. Factor a(t).
2*t*(t - 1)*(t + 1)**2
Suppose 3*c = -2*c - 2*s + 3, 0 = -s - 1. Let o be ((-54)/90)/(c/(-5)). Factor -1/2*b**o + 1/2*b - 1/2*b**2 + 1/2.
-(b - 1)*(b + 1)**2/2
Let n be (-6)/21 + ((-160)/42)/(-4). Suppose n*y**3 + 0 + 2/3*y**2 - 2/3*y**4 - 2/3*y = 0. What is y?
-1, 0, 1
Let c(q) be the third derivative of q**6/30 - q**5/15 - q**4/6 + 2*q**3/3 - 4*q**2. Determine t so that c(t) = 0.
-1, 1
Factor 16/7 + 10/7*a**3 + 44/7*a**2 + 8*a.
2*(a + 2)**2*(5*a + 2)/7
Let u be (-8)/((-8)/(3 - -1)). Factor 0*z**u + 0 - 1/4*z**5 + 0*z + 0*z**3 + 0*z**2.
-z**5/4
Let m(j) = -4*j**2 + 9*j + 9. Let o(k) = k**2 - k - 1. Let q(d) = -2*m(d) - 10*o(d). Factor q(n).
-2*(n + 2)**2
Let v(p) be the third derivative of -p**8/1344 + p**7/420 - p**6/480 + 4*p**2. Factor v(q).
-q**3*(q - 1)**2/4
Let x be (-3)/((-2)/((-16)/6)) - -8. Factor -3*y - 3/5*y**x + 9/5*y**2 + 6/5 + 3/5*y**3.
-3*(y - 1)**3*(y + 2)/5
Let c(a) be the first derivative of a**5/30 + a**4/12 - 2*a**3/3 - 3*a**2/2 - 4. Let d(m) be the second derivative of c(m). Factor d(f).
2*(f - 1)*(f + 2)
Let q(v) = -12*v**4 - 2*v**3 + 4*v**2 - 6*v + 8. Let w(l) = -8*l**4 - l**3 + 3*l**2 - 4*l + 5. Let r(f) = 5*q(f) - 8*w(f). What is s in r(s) = 0?
-1, 0, 1/2, 1
Suppose -132 = 4*r - 32. Let u = 27 + r. Let 1/6*x**u - 1/6*x + 0 = 0. Calculate x.
0, 1
Let p(i) be the third derivative of 0 + 0*i + i**2 + 0*i**3 + 0*i**4 + 2/105*i**7 + 0*i**5 + 0*i**6 - 1/168*i**8. Factor p(w).
-2*w**4*(w - 2)
Let f(c) be the second derivative of -2*c**7/21 + 4*c**6/15 + 2*c**5/5 - 4*c**4/3 - 2*c**3/3 + 4*c**2 - 4*c. What is x in f(x) = 0?
-1, 1, 2
Let x(q) = -2*q + 2. Let g be x(1). Let f = 0 + g. Factor 1/3*p**4 + 1/3 + 0*p + f*p**3 - 2/3*p**2.
(p - 1)**2*(p + 1)**2/3
Suppose 3*l - 5*l + 2*h = -14, -5*h - 5 = 0. Let n = -10 - -12. Factor -n*w + 0*w**2 - 3*w**3 - w + l*w**2.
-3*w*(w - 1)**2
Factor -8 - 79*t**2 + 123*t**2 + 4*t**3 - 20*t**3 - 15*t - 5*t.
-4*(t - 2)*(t - 1)*(4*t + 1)
Let i be -4 - ((-16)/60*12 - 1). Factor -1/5*s + 2/5*s**2 + 0 - i*s**3.
-s*(s - 1)**2/5
Let l(i) be the second derivative of i**6/10 - 27*i**5/50 + 3*i**4/5 + 4*i**3/5 - 8*i. Factor l(h).
3*h*(h - 2)**2*(5*h + 2)/5
Suppose 2*f - 11 = -f - n, -5*f + 5 = -5*n. Let u = 7 - 5. Factor 4*z**u - z + 3*z**3 - z - 5*z**f.
-2*z*(z - 1)**2
Let h(d) be the first derivative of -1/7*d**2 - 6 - 1/14*d**4 + 0*d - 4/21*d**3. Factor h(x).
-2*x*(x + 1)**2/7
Let r(k) be the first derivative of -3*k**4/16 - k**3/4 - 1. Factor r(l).
-3*l**2*(l + 1)/4
Let v(k) = -k + 2. Let a be v(0). Factor 13 + 6*r**a - 12 - 9 - 2*r**3.
-2*(r - 2)**2*(r + 1)
Let r(p) be the third derivative of -1/24*p**4 - 1/2*p**3 + 0 - 4*p**2 + 0*p + 1/20*p**5 + 1/120*p**6. Let r(y) = 0. What is y?
-3, -1, 1
Let p(x) be the second derivative of -x - 1/7*x**3 + 1/70*x**5 + 0 - 2/7*x**2 + 0*x**4. Factor p(t).
2*(t - 2)*(t + 1)**2/7
Let a(b) be the third derivative of -b**5/10 + 9*b**4/8 - 2*b**3 - 5*b**2. Factor a(t).
-3*(t - 4)*(2*t - 1)
Let v(t) be the third derivative of 0 + 1/525*t**7 + 0*t**3 + 0*t**4 + 1/300*t**6 + 0*t + 0*t**5 + 8*t**2. Solve v(h) = 0 for h.
-1, 0
Let o(y) be the first derivative of -y**6/36 - y**5/10 - y**4/8 - y**3/18 + 28. Factor o(n).
-n**2*(n + 1)**3/6
Let g be (-4)/6 + (-238)/(-42). Let u = -191 + 1339/7. Factor 2/7*q**3 - u*q**2 - 2/7*q**g + 2/7*q**4 + 0 + 0*q.
-2*q**2*(q - 1)**2*(q + 1)/7
Let d(a) be the third derivative of a**8/3192 - 2*a**7/399 + 8*a**6/285 - 16*a**5/285 - 13*a**2 - 3*a. Factor d(h).
2*h**2*(h - 4)**2*(h - 2)/19
Let q = -6 - -10. Suppose 6*t**3 + 4*t**4 + 3*t**2 - t**4 + 0*t**q = 0. What is t?
-1, 0
Let t = 6 + -4. Factor -9 + 5*x**t - x**2 + 7 - 2*x.
2*(x - 1)*(2*x + 1)
Factor 4/5 - 18/5*i - 6/5*i**3 + 4*i**2.
-2*(i - 2)*(i - 1)*(3*i - 1)/5
Let d(b) be the third derivative of b**7/630 + b**6/180 - b**5/60 - b**4/18 + 2*b**3/9 - b**2. Determine n so that d(n) = 0.
-2, 1
Let i(x) be the second derivative of -x**7/294 - 2*x**6/105 + x**5/70 + 2*x**4/21 - x**3/42 - 2*x**2/7 - 20*x. Determine c so that i(c) = 0.
-4, -1, 1
Let a(b) be the first derivative of -4*b**3/27 + 2*b**2 - 4. Factor a(f).
-4*f*(f - 9)/9
Let d = 23 - 13. Let k = d + -4. Factor k - 2*m**2 - 2*m - 6 + 4*m.
-2*m*(m - 1)
Let s(z) be the first derivative of -z**3/27 + 4*z**2/9 - 16*z/9 - 8. Find f, given that s(f) = 0.
4
Let w(g) be the third derivative of 0*g**3 + 1/105*g**7 + 0 + 1/392*g**8 - 1/42*g**4 + 0*g - 1/70*g**5 - 3*g**2 + 1/140*g**6. Determine z, given that w(z) = 0.
-1, 0, 2/3
Let c(q) be the second derivative of q**5/100 + q**4/20 + q**3/15 - 5*q. Factor c(n).
n*(n + 1)*(n + 2)/5
Let x(b) = -17*b**3 - 2*b + 3*b - 18 + 13*b**2 + 16*b + 5*b**2. Let d(h) = 9*h**3 - 9*h**2 - 9*h + 9. Let k(r) = -11*d(r) - 6*x(r). Factor k(z).
3*(z - 3)*(z - 1)*(z + 1)
Let f(b) be the third derivative of b**5/60 - b**4/12 - b**3/2 + 9*b**2. Solve f(w) = 0 for w.
-1, 3
Let p(y) = -2*y**4 - 3*y**3 - 5*y + 3. Let q be (-18)/10*(-10)/3. Let h(l) = 9*l**4 + 13*l**3 - l**2 + 21*l - 13. Let a(m) = q*h(m) + 26*p(m). Factor a(o).
2*o*(o - 2)*(o + 1)**2
Suppose -2*i - 8 = -3*r, 26 = 7*i - 2*i + 4*r. Let u be (-3 + i)*(1 - 1). Let 1/5*b**3 + 0 + u*b - 1/5*b**2 = 0. Calculate b.
0, 1
Let r(z) be the second derivative of -z**8/26880 - z**7/3360 - z**6/1440 - z**4/12 + 6*z. Let v(t) be the third derivative of r(t). Factor v(f).
-f*(f + 1)*(f + 2)/4
Let i(o) be the second derivative of -o**7/840 - o**6/120 - o**5/40 - o**4/3 + 2*o. Let h(q) be the third derivative of i(q). Factor h(g).
-3*(g + 1)**2
Let j(k) be the third derivative of -k**7/945 + k**6/270 + k**5/90 + k**2 - 2. Factor j(q).
-2*q**2*(q - 3)*(q + 1)/9
Suppose 11 = -3*j - 7. Let w = j + 9. Factor -2/3*x**w + 0*x**2 + 0 + x**4 - 1/3*x**5 + 0*x.
-x**3*(x - 2)*(x - 1)/3
Determine k, given that 0 + 75/4*k**4 + 15/4*k**3 + 3*k - 12*k**2 = 0.
-1, 0, 2/5
Let q = 7 - 6. Let h = 7 - q. Factor 0 - 6*n**2 - 2*n**3 - 2 + 2 - h*n - 2.
-2*(n + 1)**3
Let s be (-4)/7*(-35)/30. Let l(k) be the first derivative of -k**2 + 0*k + 1 + s*k**3. What is o in l(o) = 0?
0, 1
Determine r so that 8*r**2 + 4/9 + 34/9*r**3 + 14/3*r = 0.
-1, -2/17
Let v(n) be the second derivative of n**6/180 - n**5/30 + n**4/18 - 9*n**2/2 + 7*n. Let r(t) be the first derivative of v(t). Let r(m) = 0. Calculate m.
0, 1, 2
Factor 0*q + 0*q**2 + 0 - 4/3*q**3.
-4*q**3/3
What is m in 3*m**3 - 3*m - 15 + 15 = 0?
-1, 0, 1
Let c be -1 + ((-595)/(-175) - 1*2). Factor -1/5*m**2 - 1/5*m**4 + c*m**3 + 0*m + 0.
-m**2*(m - 1)**2/5
Suppose -186*n = -180*n - 12. Factor -1/2*g**3 + 0*g + 0*g**n + 1/2*g**4 + 0.
g**3*(g - 1)/2
Let b(v) be the third derivative of v**7/280 - v**6/80 - 3*v**5/80 + v**4/8 + v**3/2 - v**2. Find s, given that b(s) = 0.
-1, 2
Let x(l) be the second derivative of 0*l**3 + 0*