 - 10)*(i + 1)
Suppose 2*b = 2*i - 0*i - 16, -i + 4*b - 4 = 0. Solve 6*p**5 + 5*p**3 + 8*p**5 - i*p**3 - 6*p**3 - 19*p**2 - p + 2 + 17*p**4 = 0.
-1, -1/2, 2/7, 1
Factor 0 + 2/17*x**2 - 12/17*x.
2*x*(x - 6)/17
Let n be (10*(-3)/54)/((-1)/3). Factor -4/3 - n*z**2 + 4*z.
-(z - 2)*(5*z - 2)/3
Let c = 107 + -313/3. Suppose 11 = 14*u + 11. Factor u*r + 0 + 0*r**2 - 8/3*r**4 - c*r**3 - 2/3*r**5.
-2*r**3*(r + 2)**2/3
Suppose 0*r**2 + 1/3*r**3 + 0*r + 0 = 0. Calculate r.
0
Let i(s) be the first derivative of -2*s**8/189 - 8*s**7/945 - s**6/540 + 2*s**2 + 2. Let g(z) be the second derivative of i(z). Factor g(p).
-2*p**3*(4*p + 1)**2/9
Suppose -3*k + 34 = -k. Let y = k + -17. Factor 0 - 1/2*d**5 + 0*d**2 - 1/2*d**3 + y*d + d**4.
-d**3*(d - 1)**2/2
Let y(b) be the third derivative of 10*b**2 + 0*b + 0 + 1/240*b**6 - 1/140*b**7 + 1/40*b**5 + 0*b**3 - 1/48*b**4. Suppose y(a) = 0. Calculate a.
-1, 0, 1/3, 1
Let z(i) be the second derivative of i**5/80 + i**4/16 + 7*i. Solve z(j) = 0.
-3, 0
Let a be 2*(476/(-120) + 4). Let i(b) be the first derivative of 0*b - 1/12*b**4 + 2 - a*b**5 + 0*b**3 + 0*b**2. Solve i(v) = 0 for v.
-1, 0
Let c(p) be the first derivative of 0*p - 3 - 1/8*p**2 + 1/16*p**4 - 1/12*p**3 + 1/20*p**5. Factor c(b).
b*(b - 1)*(b + 1)**2/4
Let f(m) be the second derivative of -5/36*m**4 - 5*m + 1/6*m**2 - 1/18*m**3 - 1/20*m**5 + 0. Let f(t) = 0. Calculate t.
-1, 1/3
Let g(o) be the third derivative of -o**8/336 + o**6/40 - o**5/30 - 15*o**2. Solve g(v) = 0.
-2, 0, 1
Factor -5*g + 2 + g**3 + g**3 + 2*g**3 - 5*g**3 + 4*g**2.
-(g - 2)*(g - 1)**2
Suppose -2*h + 4 = 2*h. Let l be (0 + 2)*(h + 1). What is n in 7*n**2 + 3*n**3 + n**4 - l*n**2 - 3 + 3 + n = 0?
-1, 0
What is o in 34*o**2 - 40*o**3 - 71*o**2 - 80*o**4 + 32*o**2 = 0?
-1/4, 0
Let j be (12/(-9))/((-6)/9). Suppose 5*f - 21 = o, -3*o - f = -8*o + 15. Factor -v - v**4 + o*v**3 + 3*v**3 - 6*v**3 + v**j.
-v*(v - 1)**2*(v + 1)
Let o be -1 + -3*2/3. Let p be o - (0 - 8) - 3. Factor 0 + 2/7*r + 2/7*r**p.
2*r*(r + 1)/7
Let f(z) be the third derivative of z**8/840 + z**7/105 + z**6/30 + z**5/15 + z**4/12 + z**3/2 + 5*z**2. Let h(a) be the first derivative of f(a). Factor h(b).
2*(b + 1)**4
Let u = 23 - 21. Suppose 0 = -2*l - d + 2, -5 = -u*d - 1. Factor 12/5*a**3 + 8/5*a**4 + l + 8/5*a**2 + 2/5*a**5 + 2/5*a.
2*a*(a + 1)**4/5
Let o be 0 + 84/60 + (-2)/2. Factor -6/5*i**3 - 4/5 + 6/5*i + o*i**2 + 2/5*i**4.
2*(i - 2)*(i - 1)**2*(i + 1)/5
Let r be ((-196)/336)/((-1)/4). Factor 1/3*a + r*a**3 + 0 + 5/3*a**2 + a**4.
a*(a + 1)**2*(3*a + 1)/3
Let z(w) be the second derivative of -w**4 - 21/20*w**5 + 0*w**2 + w - 1/5*w**6 + 0 + 2*w**3. Suppose z(k) = 0. Calculate k.
-2, 0, 1/2
Let f(i) be the second derivative of i**7/2520 - i**6/270 + i**5/120 - i**3/2 + 2*i. Let l(w) be the second derivative of f(w). Suppose l(s) = 0. Calculate s.
0, 1, 3
Factor 1/4*q**2 + 0 - 3/2*q + 1/4*q**3.
q*(q - 2)*(q + 3)/4
Let h(r) = -8*r**4 + 6*r**3 - 20*r**2 + 19*r - 4. Let p(v) = 7*v**4 - 6*v**3 + 19*v**2 - 18*v + 4. Let b(a) = 6*h(a) + 7*p(a). Factor b(c).
(c - 2)**2*(c - 1)**2
Let o be (-3)/(3/(-5)) - 0. Let -4*m**2 - m**2 + o*m**2 - 4*m**2 = 0. Calculate m.
0
Let i(m) be the second derivative of -1/210*m**6 + 0*m**2 + 6*m + 0*m**3 + 0*m**4 - 1/140*m**5 + 0. Find h such that i(h) = 0.
-1, 0
Let j(r) = 2*r**3 + 8*r**2 + 4*r. Let c(o) = 4*o**3 + 17*o**2 + 7*o - 1. Let x be (12/(-18))/(1/3). Let i(d) = x*c(d) + 5*j(d). Suppose i(f) = 0. Calculate f.
-1
Factor -8*x - 2*x**2 + 2 + 0 + 2 + 6*x**2.
4*(x - 1)**2
Factor -15/7*i**4 + 3/7*i - 39/7*i**3 + 6/7 - 27/7*i**2.
-3*(i + 1)**3*(5*i - 2)/7
Let g(a) be the third derivative of a**7/140 - a**5/10 + 18*a**2. Solve g(l) = 0 for l.
-2, 0, 2
Solve 24/5*h**2 + 4/5*h + 0 + 16/5*h**3 - 24/5*h**4 - 4*h**5 = 0 for h.
-1, -1/5, 0, 1
Let m(u) = -u**4 + u + 1. Let j(y) be the second derivative of -2*y**6/3 - 2*y**5/5 - 8*y**3/3 - 8*y**2 - y. Let z(w) = j(w) + 16*m(w). Factor z(l).
-4*l**3*(9*l + 2)
Suppose 3*w - 1 + 8 = 2*g, -3*w + 5*g = 22. Let n be (-6)/3 + w + 1. Factor -1/3*a**2 + n*a + 0.
-a**2/3
Let g(o) be the third derivative of o**8/672 + o**7/120 + o**6/80 - o**5/240 - o**4/48 + 8*o**2. Find z such that g(z) = 0.
-2, -1, 0, 1/2
Suppose 3*w - 14 = -4*w. Factor -4/7 + 2/7*m**w - 2/7*m.
2*(m - 2)*(m + 1)/7
Let v(m) be the third derivative of 0 + 1/120*m**5 + 0*m**4 - 1/168*m**8 - 1/48*m**6 + m**2 + 2/105*m**7 + 0*m + 0*m**3. Let v(a) = 0. What is a?
0, 1/2, 1
Let w(f) be the third derivative of f**6/12 - f**5/30 + 9*f**2. Factor w(i).
2*i**2*(5*i - 1)
Suppose 7 - 1 = 2*d. Factor -v**3 + v**4 - v**3 + v + 1 - d*v**2 + v**2 - 2*v**5 + 3*v**5.
(v - 1)**2*(v + 1)**3
Suppose -16 = -4*r + 2*a, 2*r + 0*r - 32 = -5*a. Factor -q + r*q**3 + 4*q**2 + 2*q + 4*q**4 + q**5 + 0*q.
q*(q + 1)**4
Let j(t) be the second derivative of -t**5/30 - t**4/6 - 2*t**3/9 - 5*t. Let j(q) = 0. What is q?
-2, -1, 0
Let t(i) be the first derivative of 4*i**5/5 + 2*i**4 - 4*i**3/3 - 4*i**2 - 9. Suppose t(c) = 0. Calculate c.
-2, -1, 0, 1
Let t(f) = 4*f**3 - 3*f**2 - 2*f - 2. Let g(c) = -39*c**3 + 30*c**2 + 21*c + 21. Suppose -3*r + 1 + 5 = 0. Let k(q) = r*g(q) + 21*t(q). What is l in k(l) = 0?
0, 1/2
Factor 12/5*j**2 - 2/5*j**3 + 16/5 - 24/5*j.
-2*(j - 2)**3/5
Let t(l) be the third derivative of -l**7/90 - 2*l**6/45 - 11*l**5/180 - l**4/36 - 7*l**2. Factor t(d).
-d*(d + 1)**2*(7*d + 2)/3
Let i(s) = -2*s**4 + 6*s**3 - 4*s**2 - 4*s - 4. Let b(n) = -n**4 - n**2 + n - 1. Let l(d) = -4*b(d) + i(d). Factor l(t).
2*t*(t - 1)*(t + 2)**2
Let l(i) be the first derivative of -3*i**4/20 - 3*i**3/5 - 3*i**2/5 - 13. Let l(q) = 0. Calculate q.
-2, -1, 0
Let m(d) be the second derivative of d**4/90 - 2*d**3/45 + 43*d. Let m(v) = 0. What is v?
0, 2
Let l(m) = 0*m**3 + 4*m - 1 - 2*m + m**3 - 2*m**3. Let q be l(1). Determine i, given that q - 5*i + 1 + 1 + 3*i**2 = 0.
2/3, 1
Suppose -12 = -4*q - 4. Suppose -3*k = -q*k. Factor -2/7*b**2 + k*b + 0 + 2/7*b**3.
2*b**2*(b - 1)/7
Let c be 12/16 + (-183)/(-12). Let -16 + 2*q**2 - 6*q**2 - 64*q**2 - c*q**3 - 64*q - 4*q**3 = 0. Calculate q.
-2, -1, -2/5
Let k(i) be the third derivative of i**8/5040 + i**7/7560 - i**4/24 - 6*i**2. Let o(h) be the second derivative of k(h). Find u such that o(u) = 0.
-1/4, 0
Let f(t) be the third derivative of 11/720*t**6 + 0*t - 1/45*t**5 - 1/420*t**7 - 1/36*t**4 + 8*t**2 + 0 + 0*t**3. Suppose f(x) = 0. What is x?
-1/3, 0, 2
Let k(c) be the second derivative of -c**4/4 - c**3/2 - 18*c. Suppose k(y) = 0. What is y?
-1, 0
Suppose 4*k + t = 20, 6*k - 4*k + 5*t - 10 = 0. Factor -3*w**4 + 6*w**3 + w**5 + 5*w**2 + w**k - 3*w**2 + 9*w**4.
2*w**2*(w + 1)**3
Let q(n) be the first derivative of 0*n - 1/2*n**4 + 2/3*n**3 + 0*n**2 - 2. Suppose q(g) = 0. Calculate g.
0, 1
Suppose 4*w - 4 = 0, -2*f - w = -2 - 5. Solve 0*y**2 + 2/11*y**f + 4/11 - 6/11*y = 0 for y.
-2, 1
Suppose 18*b - 56 = -2. Let z be -3*((-44)/21 + 2). Factor -z*m**2 + 0 + 4/7*m - 2/7*m**b.
-2*m*(m - 1)*(m + 2)/7
Suppose -2 = -2*f + f. Factor 0 - 32/9*o**4 + 22/9*o**3 + 14/9*o**5 + 0*o - 4/9*o**f.
2*o**2*(o - 1)**2*(7*o - 2)/9
Let x(u) = -19 + 11*u + 4 - 6 + 4*u**2 - 9*u**3. Let o(j) = 10*j**3 - 4*j**2 - 10*j + 22. Let s(h) = -5*o(h) - 6*x(h). Let s(b) = 0. What is b?
-2, 1, 2
Let p be 10*3/((-6)/(-1)). Suppose 0 = -t + p*t - 8. Factor 0*r + 2/9*r**t - 2/9.
2*(r - 1)*(r + 1)/9
Let s be (12/(-48))/(3/(-6)). Factor 0*u + 0 + 1/2*u**5 + 1/2*u**2 - 1/2*u**3 - s*u**4.
u**2*(u - 1)**2*(u + 1)/2
Suppose 58 - 10 = 4*o. Suppose -3*p + o = p. Factor -1/4*g + 1/4*g**p + 1/2 + 3/4*g**4 - 5/4*g**2.
(g - 1)*(g + 1)**2*(3*g - 2)/4
Suppose 2 + 0 = u. Let m(q) be the second derivative of 1/10*q**5 + 0*q**2 + 1/3*q**3 + 1/3*q**4 + u*q + 0. Find x, given that m(x) = 0.
-1, 0
Let p(j) be the second derivative of -j**7/21 - 32*j**6/75 - 36*j**5/25 - 37*j**4/15 - 7*j**3/3 - 6*j**2/5 - 3*j + 8. Suppose p(l) = 0. What is l?
-3, -1, -2/5
Suppose 2*q = 5*q - 6. Find x such that -3 + 0 - 2*x + 1 + 6*x - 2*x**q = 0.
1
Suppose -6*b + 3*b = -15. Let i be (b - 7) + (1 - -1). Factor i*g + 2/3*g**3 + 0*g**2 + 2/3*g**4 + 0.
2*g**3*(g + 1)/3
Find p such that -2/5*p**3 + 2/5*p - 2/5*p**4 + 0 + 2/5*p**2 = 0.
-1, 0, 1
Let g(m) be the first derivative of 1/14*m**4 + 0*m**2 - 2/35*m**5 + 4 + 0*m + 4/21*m**3. Factor g(r).
-2*r**2*(r - 2)*(r + 1)/7