2 + 0*i**3 - i**4 - 1 - 5*i**z.
-(i + 1)**4
Factor -1/2*h**4 + 1/2*h**3 + 0*h + h**2 + 0.
-h**2*(h - 2)*(h + 1)/2
Let x(z) = z**3 + 3*z**2 - 4*z + 4. Let a(y) = -2*y**2 - 3*y - 2. Let o be a(-2). Let m be x(o). Factor d**m - 2*d**5 + d**4 - 2*d**2 + 2*d**3 + 0*d**4.
-2*d**2*(d - 1)**2*(d + 1)
Let h be (-6)/(-14) + (-928)/(-56). Let w = h + -17. Factor 2/5*f**2 - 2/5 + w*f.
2*(f - 1)*(f + 1)/5
Let j be 1 + 5 + (-9)/3. Let c = j - 0. Factor 5*d**3 - 3*d**2 - d**c - d**3.
3*d**2*(d - 1)
Let j(u) be the third derivative of 1/8*u**4 - 1/20*u**5 + 0*u - 1/40*u**6 + 0*u**3 + 5*u**2 + 0 + 1/70*u**7. Factor j(t).
3*t*(t - 1)**2*(t + 1)
Let y(b) be the second derivative of -b**7/42 - b**6/15 + 3*b**5/20 + 2*b**4/3 + 2*b**3/3 + b + 14. Solve y(c) = 0 for c.
-2, -1, 0, 2
Let p(r) be the third derivative of 1/30*r**5 + 0*r - 1/6*r**4 + 6*r**2 - r**3 + 0. Factor p(a).
2*(a - 3)*(a + 1)
Suppose 0 = -5*a + a. Let o be -1 - 0 - a - 2. Let k(z) = -z**2 + 23*z + 14. Let u(d) = 8*d + 5. Let s(h) = o*k(h) + 8*u(h). Find c such that s(c) = 0.
-1/3, 2
Let o = 59/15 + -18/5. Let k(f) be the first derivative of 1 + 2/5*f**5 + f**2 - 4/9*f**3 - o*f**4 - 2/3*f - 1/9*f**6. Factor k(z).
-2*(z - 1)**4*(z + 1)/3
Let b be (-10)/(-2) + 0 + -1. Let f be (6*(-2)/b)/(-1). Suppose f*i - 7*i + 2*i - i**2 = 0. Calculate i.
-2, 0
Suppose 3*o = -3*o + 2*o. Let h(c) be the second derivative of 1/6*c**4 - c + o + 4/3*c**2 + 2/3*c**3 + 1/60*c**5. Factor h(s).
(s + 2)**3/3
Let k(g) be the first derivative of 3 + 3/2*g**5 + 21/2*g**3 + 51/8*g**4 + 33/4*g**2 + 3*g. Factor k(d).
3*(d + 1)**3*(5*d + 2)/2
Let c(i) be the first derivative of -i**4/14 + 3*i**2/7 + 4*i/7 + 7. Determine t so that c(t) = 0.
-1, 2
Suppose 12 = 2*b - 2*u, 18 = 5*b + u - 6. Factor 0 + 0*a**4 - 1/2*a**b - 1/2*a + 0*a**2 + a**3.
-a*(a - 1)**2*(a + 1)**2/2
Let z(l) be the second derivative of 0*l**3 + 0 - 1/30*l**6 + 1/12*l**4 + 1/42*l**7 + 0*l**2 + 3*l - 1/20*l**5. Find h, given that z(h) = 0.
-1, 0, 1
Let j(t) = t**2 + 8*t - 7. Let y be j(-9). Suppose -3*s**2 + 3*s + 2*s**2 - s**y - 7*s = 0. Calculate s.
-2, 0
Determine y so that -491/5*y**3 - 296/5*y**4 - 48/5*y**5 - 8/5 - 86/5*y - 321/5*y**2 = 0.
-4, -1, -2/3, -1/4
Let m(u) be the first derivative of -1/14*u**4 + 2/35*u**5 - 4/21*u**3 - 3 + 0*u**2 + 0*u. Factor m(v).
2*v**2*(v - 2)*(v + 1)/7
Suppose 7*x - 164 = -150. Solve -2/3*i + 0*i**x + 8/9*i**3 - 2/9 = 0.
-1/2, 1
Let d be 5/25*10/4. Let r(h) be the second derivative of -1/3*h**3 + 0 - 3*h - 1/12*h**4 - d*h**2. Solve r(v) = 0.
-1
Suppose 0*b**3 - 1/3*b**4 + 0*b**2 + 0*b + 1/3*b**5 + 0 = 0. What is b?
0, 1
Let g(r) be the third derivative of 0 - 1/150*r**6 + 0*r**5 + 0*r + 0*r**3 + 0*r**4 + 1/840*r**8 + 2*r**2 + 1/525*r**7. Find q such that g(q) = 0.
-2, 0, 1
Let r(k) = 5*k**5 - 16*k**4 + 9*k**3 + k**2 - 2*k - 3. Let z(l) = 5*l**5 - 17*l**4 + 9*l**3 + l**2 - 2*l - 4. Let j(m) = 4*r(m) - 3*z(m). Factor j(o).
o*(o - 1)**3*(5*o + 2)
Let b be (-1)/7 - -51*(-17)/(-1071). Factor -b*c**2 - 2/9 - 2/3*c - 2/9*c**3.
-2*(c + 1)**3/9
Let v = -229/3 - -77. Factor -v*j**2 + 2/3 + 0*j.
-2*(j - 1)*(j + 1)/3
Let i = -25 + 47. Suppose -m = -r + i - 2, 2*m = -r + 32. Factor -r*l + 13 + 6*l**2 + 6*l**2 + 3 - 2*l**3.
-2*(l - 2)**3
Let y(t) = -3*t**2 - 17*t - 9. Let b(i) = -12*i**2 - 69*i - 36. Let r(c) = 5*b(c) - 21*y(c). Find h, given that r(h) = 0.
-3, -1
Let d(l) be the first derivative of l**6/630 - l**5/420 + l**3 - 5. Let f(i) be the third derivative of d(i). Find x such that f(x) = 0.
0, 1/2
Let c = -220 - -224. Factor 0*z + 6/5*z**5 + 0*z**2 + 0 + 3/5*z**3 - 9/5*z**c.
3*z**3*(z - 1)*(2*z - 1)/5
Let l(q) be the first derivative of -1/8*q**4 + 11 - 2*q - 2*q**2 - 5/6*q**3. Factor l(m).
-(m + 1)*(m + 2)**2/2
Let r(c) = c**2 + 11*c - 21. Let w(d) = -4*d**2 - 3*d - 3. Let s be w(-2). Let v be r(s). Factor 0*g + 2/7*g**v + 2/7*g**2 + 0 + 6/7*g**4 + 6/7*g**3.
2*g**2*(g + 1)**3/7
Let m(r) = -r - 2. Let p be m(4). Let k = p - -8. Factor 2/3*l + 2/3*l**k + 2/9 + 2/9*l**3.
2*(l + 1)**3/9
Let b(s) = -3*s**3 - 13*s - 2*s**3 + 0*s**3. Let j(k) = -k**3 - 3*k. Let l(a) = 2*b(a) - 9*j(a). Find g, given that l(g) = 0.
-1, 0, 1
Factor -10 + 15*q + 20*q**2 - 39*q**2 + 14*q**2.
-5*(q - 2)*(q - 1)
Let h = 323 + -1291/4. Factor -h*g**2 - g**3 + 0*g + 0.
-g**2*(4*g + 1)/4
Suppose 25*n - 21*n = -4. Let k be (1 + n/1)*1. Factor k + 0*w - 1/4*w**2 - 1/2*w**3 - 1/4*w**4.
-w**2*(w + 1)**2/4
Let h(w) be the first derivative of 4*w**3/3 + 8*w**2 - 4. Find a such that h(a) = 0.
-4, 0
Factor 0*j + 0 + 0*j**2 - 2/15*j**4 - 4/15*j**3.
-2*j**3*(j + 2)/15
Suppose -4*v + 3*v = -3*f - 21, 48 = 3*v - 4*f. Suppose 7*i - 3*i = v. Factor -3/2*y**i + 0*y**2 + 3/2*y + 0.
-3*y*(y - 1)*(y + 1)/2
Factor 0*t + 2/9*t**4 + 0*t**3 + 0 + 0*t**2.
2*t**4/9
Let j(s) = -8*s**3 - 3*s**2 - 6*s + 11. Let f(i) = -3*i**3 - i**2 - 2*i + 4. Let n(o) = 11*f(o) - 4*j(o). Factor n(c).
-c*(c - 2)*(c + 1)
Factor 3/2*x**2 + 0 - 3/2*x.
3*x*(x - 1)/2
Let h(n) be the second derivative of -n**7/147 - 2*n**6/105 + n**5/35 + 4*n**4/21 + n**3/3 + 2*n**2/7 - 14*n. Let h(o) = 0. What is o?
-1, 2
Suppose 8*o - 1 = 23. Factor -g + 1/2*g**o + 0 - 1/2*g**2.
g*(g - 2)*(g + 1)/2
Let g(n) = -7*n**2 - 10*n + 8. Let k(y) = y**2 + 2*y. Let l(a) = g(a) + 3*k(a). Solve l(u) = 0.
-2, 1
Factor 0 - 2/9*v + 10/9*v**3 - 2/9*v**2 - 2/3*v**4.
-2*v*(v - 1)**2*(3*v + 1)/9
Let o(x) be the second derivative of -x**7/84 + x**6/15 - x**5/8 + x**4/12 - 26*x. Factor o(w).
-w**2*(w - 2)*(w - 1)**2/2
What is a in -3/5*a**3 + 12/5 - 9/5*a**2 + 0*a = 0?
-2, 1
Factor -8/13 + 2/13*q**2 + 0*q.
2*(q - 2)*(q + 2)/13
Let u(f) be the second derivative of 0 - 1/3*f**2 - 2/9*f**3 - 1/18*f**4 + 4*f. Factor u(q).
-2*(q + 1)**2/3
Let h(j) be the third derivative of j**6/900 - j**5/30 + 5*j**4/12 - 25*j**3/9 + 3*j**2. Factor h(q).
2*(q - 5)**3/15
Suppose -6*q + 39 = -3*q. Suppose 0*d + 2*d**4 - 3*d + d**5 + 2*d - q*d**2 + 11*d**2 = 0. Calculate d.
-1, 0, 1
Factor -z + 15/2*z**4 + z**3 - 15/2*z**2 + 0.
z*(z - 1)*(z + 1)*(15*z + 2)/2
Factor -29/4*g - 3/2 - 9/4*g**2.
-(g + 3)*(9*g + 2)/4
Let c be 5 - ((2 - 0) + 0). Find f such that 3*f**3 - 5*f - 7 + 4*f**2 + c*f - f**3 + 3 = 0.
-2, -1, 1
Suppose 0 = -25*s + 15*s. Factor -3/7*x**4 + 0 + 0*x**2 + 0*x + s*x**3.
-3*x**4/7
Let c = -10 - -12. Suppose c*h = 9*h. Suppose -2/3*a**3 - 2/3*a**2 + h + 0*a = 0. Calculate a.
-1, 0
Suppose p + 32 = 3*c - 3*p, 0 = 3*c + p - 7. Suppose -c*q - q = 0. Solve q - 1/2*l - 1/2*l**2 = 0.
-1, 0
Let h(m) be the first derivative of 1/18*m**4 - 1/90*m**5 - 1/9*m**3 + 2 + 2*m + 1/9*m**2. Let q(z) be the first derivative of h(z). Factor q(r).
-2*(r - 1)**3/9
Let i(q) be the second derivative of 1/2*q**4 - 9/20*q**5 - 3*q + 1/14*q**7 + 0*q**6 + 0 + 0*q**2 + 0*q**3. Suppose i(o) = 0. Calculate o.
-2, 0, 1
Let r(p) be the third derivative of p**2 + 1/630*p**7 - 1/60*p**5 - 1/360*p**6 + 5/72*p**4 + 0 - 1/9*p**3 + 0*p. Find n, given that r(n) = 0.
-2, 1
Let h(j) be the third derivative of -j**7/168 + j**6/40 + 7*j**5/80 - 5*j**4/12 + j**3/2 - 18*j**2. Let h(o) = 0. Calculate o.
-2, 2/5, 1, 3
Let v = 17 - 8. Let s be 1/(v/(-6) + 2). Factor -5*d + d**2 + 4*d - d**2 + s - d**2.
-(d - 1)*(d + 2)
Let g(h) be the third derivative of h**5/120 - h**4/12 + 10*h**2. Factor g(r).
r*(r - 4)/2
Let l(m) be the third derivative of -2*m**7/525 + m**5/25 + m**4/15 + 5*m**2. Solve l(p) = 0 for p.
-1, 0, 2
Let l(j) = -j**3 + 2*j**2 - 3*j + 2. Suppose -f - 3 = -4. Let b(p) = -p + 1. Let m(i) = f*l(i) - 2*b(i). Factor m(u).
-u*(u - 1)**2
Let w(k) be the second derivative of -1/50*k**5 + 1/15*k**3 + 0 - 1/30*k**4 + 0*k**2 + k + 1/75*k**6. Let w(d) = 0. What is d?
-1, 0, 1
Let g = -4/405 - 10/81. Let q = 7/60 - g. Solve -q*c**4 + 0 - 3/4*c**2 - 3/4*c**3 - 1/4*c = 0.
-1, 0
Let u(x) = -299 + 2*x + 299. Let r be u(2). Factor -2/5*s**r + 0 - 2/5*s - 6/5*s**3 - 6/5*s**2.
-2*s*(s + 1)**3/5
Let b(q) = -2*q**4 - 3*q**3 + q**2 + 1. Let j(t) = 7*t**4 + 11*t**3 - 3*t**2 - 4. Let n(l) = -22*b(l) - 6*j(l). Factor n(y).
2*(y - 1)**2*(y + 1)**2
Let t(q) be the first derivative of q**4/12 + q**3/3 - 3*q**2/2 - 2*q - 6. Let g(m) be the first derivative of t(m). Factor g(w).
(w - 1)*(w + 3)
Let b(o) = -o**2 + 7*o - 5. Let v be b(4). Let j = -5 + v. Factor -q**4 - j*q + 3*q**3 - q + 4*q - 3*q**2.
-q*(q - 1)**3
Suppose 