+ 2. Let j(d) = q*o(d) - 4*g(d). Let h(a) = -4*j(a) - s(a). Factor h(y).
(y + 2)**2
Let q = -23/12 + 13/6. Factor q*t**3 + 0*t - 1/4*t**4 + 0 + 0*t**2.
-t**3*(t - 1)/4
Suppose -2*q + 5*h = 3*q - 15, -h - 3 = 0. What is r in 3/2*r**3 + q*r + 0 + 3/2*r**2 = 0?
-1, 0
Let s be ((-562)/(-4077))/(5/(-87)). Let r = 2/1359 - s. Factor 2/5 + 8/5*m**3 + 8/5*m + r*m**2 + 2/5*m**4.
2*(m + 1)**4/5
Factor -36/7*u**2 - 2/7 - 16/7*u + 0*u**3 + 54/7*u**4.
2*(u - 1)*(3*u + 1)**3/7
Suppose -4*z + 15 = z - 4*y, -3*z = 4*y - 9. Suppose -2/7*p**z + 2/7*p + 2/7*p**2 - 2/7 = 0. Calculate p.
-1, 1
Let r(x) = -2*x - 7. Let g be r(-5). Let l(j) be the first derivative of -1/18*j**4 + 0*j + 0*j**2 + 0*j**g + 2. Factor l(o).
-2*o**3/9
Let h(c) be the third derivative of c**6/60 - c**5/30 - c**4/12 + c**3/3 - 8*c**2. Factor h(r).
2*(r - 1)**2*(r + 1)
Let v(i) = 6*i**4 - 23*i**3 + 54*i**2 - 35*i + 19. Let b(m) = 3*m**4 - 11*m**3 + 27*m**2 - 17*m + 10. Let y(c) = 7*b(c) - 4*v(c). Factor y(j).
-3*(j - 2)*(j - 1)**3
Let n(k) be the first derivative of 1 - 1/8*k**2 - 2*k - 1/16*k**4 + 1/6*k**3. Let m(x) be the first derivative of n(x). Factor m(q).
-(q - 1)*(3*q - 1)/4
Let k(w) be the first derivative of -w**7/42 + w**6/15 - w**4/6 + w**3/6 + 5*w + 2. Let r(h) be the first derivative of k(h). Factor r(x).
-x*(x - 1)**3*(x + 1)
Suppose 3*z = -0*z + 15. Let r(j) = z*j + 0 + 0 - 3 - 7*j**2. Let f(t) = -4*t**2 + 3*t - 2. Let x(n) = 5*f(n) - 3*r(n). Suppose x(h) = 0. What is h?
-1, 1
Let y be (-10)/(-12)*1/5. Let i(z) be the first derivative of 7/18*z**6 + 1/3*z**5 - y*z**4 + 0*z**2 + 0*z**3 + 0*z + 2. Determine j so that i(j) = 0.
-1, 0, 2/7
Let g(j) be the third derivative of -25*j**7/189 - 5*j**6/18 + 2*j**5 - 7*j**4/2 + 3*j**3 - j**2 - 20. Let g(r) = 0. Calculate r.
-3, 3/5
Factor 2*t**2 + 5*t**3 + 751*t + 2*t**4 - 751*t.
t**2*(t + 2)*(2*t + 1)
Let y(d) be the second derivative of d**5/40 - 19*d. Let y(z) = 0. Calculate z.
0
Let g(n) = n**5 + n**4 + n**2 - 1. Let u(a) = a**5 + 2*a**4 + 4*a**3 - 3*a. Let o(f) = 2*g(f) - u(f). Factor o(k).
(k - 1)**3*(k + 1)*(k + 2)
Suppose -6*h + 10 = -h. Find q, given that -2*q**h + 12*q**4 - 14*q**2 - 8*q**5 + 4*q**5 = 0.
-1, 0, 2
Let d be (-36)/10 + 2 + 2*1. Factor -1/5*x**2 + d*x + 0.
-x*(x - 2)/5
Find x such that 3/5*x**2 + 12/5 - 12/5*x = 0.
2
Let m(p) = 5*p**3 + 35*p**2 - 55*p + 15. Let u(g) = -g**3 - 9*g**2 + 14*g - 4. Let t(o) = 4*m(o) + 15*u(o). Factor t(v).
5*v*(v - 1)*(v + 2)
Let k(w) be the first derivative of 0*w + 2/21*w**6 - 8/21*w**3 + 0*w**4 + 8/35*w**5 + 8 - 2/7*w**2. Suppose k(r) = 0. What is r?
-1, 0, 1
Factor -6*u**4 - 6*u**3 + 9*u**3 - 3*u + 6*u**3.
-3*u*(u - 1)**2*(2*u + 1)
Suppose 4*l + 9 = 7*l. Factor 0*j**l + 0*j**2 + 0 + 0*j - 2/5*j**4.
-2*j**4/5
Let a(d) = 5*d**5 + 21*d**4 + 45*d**3 + 35*d**2 + 10*d. Let q(w) = -w**4. Let l(f) = a(f) - 4*q(f). Factor l(y).
5*y*(y + 1)**3*(y + 2)
Let -i - 56*i**2 + 114*i**3 + 1 + 4 - 56*i**4 - 1 - 5*i = 0. What is i?
-1/4, 2/7, 1
Let a(k) = 2*k - 5. Let q be a(4). Factor 40*f - 48 - 3*f**4 - 72*f**2 + 56*f - f**q + 25*f**3.
-3*(f - 2)**4
Let b(m) be the first derivative of -3*m**4/8 + 5*m**3/2 - 21*m**2/4 + 9*m/2 + 56. Factor b(j).
-3*(j - 3)*(j - 1)**2/2
Suppose 10*l = 5*l + 3*m - 45, 0 = -4*l + 4*m - 44. Let o = l + 8. Solve 7 + 1 + 3*i**2 + 16*i + 3*i**o = 0 for i.
-2, -2/3
Let m(z) = -z**2 + 5*z - 2. Let f be m(5). Let d be (-6)/f + (0 - 0). Factor -2*t**3 + 2*t**d - 5*t**3 + 2*t**2 + 4*t**3.
-t**2*(t - 2)
Let f be 2/(-48)*(-8 - -5). Let v(p) be the second derivative of 1/20*p**5 + 0 + f*p**4 + 1/120*p**6 - p + 1/6*p**3 + 1/8*p**2. Factor v(n).
(n + 1)**4/4
Suppose 14/11*t - 8/11*t**3 - 10/11*t**2 + 4/11 = 0. Calculate t.
-2, -1/4, 1
Let c(x) be the third derivative of 0 - 5*x**2 + 0*x + 1/20*x**4 + 0*x**3 + 1/200*x**6 - 3/100*x**5. Factor c(f).
3*f*(f - 2)*(f - 1)/5
Suppose -6 = 2*b - 8*b. Let r(y) be the first derivative of -7/16*y**4 - 3/4*y**3 - b + 0*y - 1/4*y**2. Solve r(i) = 0.
-1, -2/7, 0
Suppose -5*y + 25 = 3*b, -b + 10 = 5*y - 5. Factor k + 3*k**2 + 6*k**2 + 3*k**3 + b*k.
3*k*(k + 1)*(k + 2)
Let m be 0 + (-4 - -2 - -29). Suppose -11 = 4*o - m. Find k, given that -k**2 + 3*k**3 + o*k**5 - 1/3*k + 0 + 23/3*k**4 = 0.
-1, -1/4, 0, 1/3
Let x(o) = -3*o**4 + 10*o**3 - 5*o**2 + o. Let u(a) = a**3 + a**2 + a. Let m(k) = -u(k) + x(k). Factor m(n).
-3*n**2*(n - 2)*(n - 1)
Let d be -7 - -8 - 3/1. Let v = d + 4. Determine q, given that 1/2*q**3 - q**4 + q**v + 0 - 1/2*q = 0.
-1, 0, 1/2, 1
Let x(k) be the first derivative of -k**5 + 16/15*k**3 + 2/5*k**2 + 0*k - 5 + 1/4*k**4. Solve x(a) = 0 for a.
-2/5, 0, 1
Let -10*b**5 + 50/3*b**3 - 5/3*b**4 + 0*b**2 - 20/3*b + 5/3 = 0. What is b?
-1, 1/3, 1/2, 1
Let s(p) be the first derivative of p**3/3 - 9*p**2/2 + 3*p - 6. Let w be s(9). Factor 2/3*o + 0 - 2/3*o**w + 0*o**2.
-2*o*(o - 1)*(o + 1)/3
Let i be ((-4)/12)/((-2)/18). Let 4*h**2 + 2*h + 0*h**i + 3*h**3 - h**3 = 0. What is h?
-1, 0
Let m(v) be the third derivative of 3/8*v**6 + 2*v**3 + v**2 - 19/20*v**5 + 0*v + 0 + 0*v**4. Determine c, given that m(c) = 0.
-2/5, 2/3, 1
Let v(x) = x**3 - 8*x**2 + 7*x + 2. Let a be v(7). Let b be (0 - 0/a)*-1. Find c such that -8*c - 4 - c**3 + 0*c**2 + b*c**3 - 5*c**2 = 0.
-2, -1
Suppose -92 + 30*r**3 + 3*r**5 + 92 + 12*r**2 + 15*r**4 - 6*r**3 = 0. What is r?
-2, -1, 0
Let a(f) = -10*f**3 - 90*f**2 + 35*f - 35. Let b(q) = q**3 + 10*q**2 - 4*q + 4. Let v(o) = 4*a(o) + 35*b(o). Factor v(r).
-5*r**2*(r + 2)
Let i be 1 + (21/15 - 2). Factor 2/5*l**2 + 0*l + i*l**3 + 0.
2*l**2*(l + 1)/5
Factor -54*d**2 + 132*d**3 - 7*d**3 + 5*d + 4*d**2.
5*d*(5*d - 1)**2
Let q(t) be the second derivative of t**4/102 + 7*t**3/51 + 6*t**2/17 - 5*t. Suppose q(o) = 0. What is o?
-6, -1
Suppose -4*w - 8 = -6*w. Factor 3*b**3 - w*b**3 - b**2 + 5*b**3 - 3*b**3.
b**2*(b - 1)
Let h(d) be the first derivative of -d**3/3 - 6*d**2 - 36*d - 9. Factor h(k).
-(k + 6)**2
Let t(l) = -l + 4. Let b be t(8). Let q be ((-3)/(-4))/(b/(-16)). Factor 0*m**3 + 6*m**2 - 2*m**3 + 0*m - m**q - 3*m.
-3*m*(m - 1)**2
Let y(s) be the second derivative of s**4/42 - 4*s**3/21 + 4*s**2/7 - 30*s. Factor y(j).
2*(j - 2)**2/7
Let f be (6/270*5)/((-1)/(-6)). Suppose -f*q - 2/3*q**4 - 4/3*q**5 + 0 + 2/3*q**2 + 2*q**3 = 0. Calculate q.
-1, 0, 1/2, 1
Let i = -131/4 - -35. Determine v, given that i*v**5 + 87/4*v**3 - 12*v**4 + 0 - 15*v**2 + 3*v = 0.
0, 1/3, 1, 2
Factor 23/6*q**4 + 13/6*q**2 + 1/3*q + 9/2*q**3 + 7/6*q**5 + 0.
q*(q + 1)**3*(7*q + 2)/6
Let f(w) be the second derivative of -w**7/21 - w**6/15 + 3*w**5/5 - w**4/3 - 5*w**3/3 + 3*w**2 - 53*w. Suppose f(l) = 0. What is l?
-3, -1, 1
Let s(m) = 5*m**4 + 13*m**2 - 12*m. Let u(c) = c**4 + c**2 - c. Let w(i) = -s(i) + 6*u(i). Determine h so that w(h) = 0.
-3, 0, 1, 2
Let o(i) = i. Let u(p) = p**2 + 6*p. Let g(j) = -15*o(j) + 3*u(j). Factor g(v).
3*v*(v + 1)
Let k(j) be the first derivative of 4/9*j**3 - 16/3*j + 2*j**2 - 8. Factor k(w).
4*(w - 1)*(w + 4)/3
Let u(o) be the second derivative of 1/180*o**5 + 1/18*o**4 + 0 + 2/9*o**3 - 2*o - 1/2*o**2. Let d(c) be the first derivative of u(c). Factor d(t).
(t + 2)**2/3
Let i(d) = 2*d**2 + 12*d. Let f be i(-6). Factor 2*u**4 - 1/2*u**5 + 2*u**2 - 1/2*u - 3*u**3 + f.
-u*(u - 1)**4/2
What is n in 7*n**2 + n**3 - n**2 - 3*n**3 - n**3 = 0?
0, 2
Let d be ((-7)/(-5))/(2/42). Let o = -29 + d. Factor -4/5 - 2/5*g + o*g**2.
2*(g - 2)*(g + 1)/5
Let x be -5 + (-3)/(3/(-2)). Let m(v) = v**3 + 3*v**2 + 2. Let q be m(x). Factor 15*o**q + 3 - 63*o**3 - 1 + 45*o**2 - 19*o.
-(3*o - 1)**2*(7*o - 2)
Factor 21 + 42*q**2 + 110*q + 40*q**3 + 5*q**4 + 63*q**2 + 19.
5*(q + 1)**2*(q + 2)*(q + 4)
Determine c so that -17*c + 10*c**3 + 44 + 15*c**2 - 3*c - 5*c**4 - 64 = 0.
-1, 2
Let w(x) be the third derivative of -x**5/120 - x**4/6 - 7*x**3/12 + 5*x**2. Let w(m) = 0. What is m?
-7, -1
Let r(b) = 2*b + 2. Let s(t) = -t + 1. Let a(k) = -r(k) - s(k). Let h be a(-3). Factor 2/7*z + 4/7*z**4 + h*z**3 - 2/7*z**5 - 4/7*z**2 + 0.
-2*z*(z - 1)**3*(z + 1)/7
Let j = -695/6 + 116. Factor j*r - 1/6 + 1/3*r**2.
(r + 1)*(2*r - 1)/6
Solve -4/5*v**2 - 8/15*v**4 + 0 + 2/15*v + 6/5*v**3 = 0 for v.
0, 1/4, 1
Let o = 28 + -23. Let m(c) be the third derivative of 0 + 2*c**2 + 0*c**4 + 1/30*c**o + 0*c - 1/3*c**3. Find k such that m(k) = 0.
-1, 1
Let h(d) = d**5 - 4*