t b be u(h). Suppose b + 3 + 9*x - 1 + 3*x**2 - 1 = 0. Calculate x.
-2, -1
Let s(a) = -a - 7. Let b be s(0). Let n(t) = -t**3 - 7*t**2 + 2. Let c be n(b). Factor -x**c + 4*x**2 + 2*x - x**2.
2*x*(x + 1)
Let i(z) = -z**2 - 4*z + 2. Let m be (-3)/2 + 5/(-2). Let y be i(m). Factor 2/5*j**y + 4/5*j + 2/5.
2*(j + 1)**2/5
Let q(j) = -j + 1. Let d(l) = -2*l**5 + 2*l**4 + 2*l**3 - 2*l**2 - 10*l + 10. Let p(z) = d(z) - 10*q(z). Solve p(o) = 0.
-1, 0, 1
Factor -45*i**3 + 0*i + 60*i**2 - 7*i - i - 12*i.
-5*i*(3*i - 2)**2
Let a(y) be the second derivative of 0 + 4*y + 1/6*y**4 + 3*y**2 - 4/3*y**3. What is w in a(w) = 0?
1, 3
Let o(c) be the third derivative of c**10/252000 - c**9/50400 + c**8/33600 - c**5/15 + c**2. Let k(q) be the third derivative of o(q). Factor k(t).
3*t**2*(t - 1)**2/5
Let b(i) be the third derivative of i**6/60 - 2*i**5/15 + 5*i**4/12 - 2*i**3/3 + 2*i**2. Suppose b(q) = 0. What is q?
1, 2
Let c(u) be the second derivative of -1/10*u**5 + 1/3*u**4 + 3*u + 0 + 1/3*u**3 - 2*u**2. Factor c(s).
-2*(s - 2)*(s - 1)*(s + 1)
Let a(x) be the first derivative of -x**6/720 + x**5/120 - x**4/48 + x**3/3 + 3. Let p(c) be the third derivative of a(c). Factor p(w).
-(w - 1)**2/2
Suppose 2/13*m**4 + 0*m + 4/13*m**2 + 0 - 6/13*m**3 = 0. Calculate m.
0, 1, 2
Factor -1/2*g**4 - 1/2*g + 1/2*g**2 + 1/2*g**3 + 0.
-g*(g - 1)**2*(g + 1)/2
Let k(c) be the first derivative of c**4/12 - 4*c**3/9 - 11*c**2/6 - 2*c + 7. Suppose k(z) = 0. What is z?
-1, 6
Let w(j) be the second derivative of 1/80*j**5 + 0 + 0*j**6 + 0*j**3 + 0*j**2 + 0*j**4 + 2*j - 1/168*j**7. Factor w(q).
-q**3*(q - 1)*(q + 1)/4
Suppose 5 = 5*j + 5*y, 0 = j - 5*j - y + 10. Suppose 0 = -b + 4*h + h, 5*h = -j*b. Factor i**2 + 0*i + b*i**2 - 2*i - 3*i**2.
-2*i*(i + 1)
Let o be 2 - (-1 - (-4)/(-2)). Solve 4*f**4 - 2*f + 10*f**5 + 0*f - 8*f**o - 4*f**2 = 0.
-1, 0, 1
Let g(b) be the second derivative of 6*b + 0 + 1/48*b**4 + 0*b**2 + 1/12*b**3. Solve g(j) = 0 for j.
-2, 0
Let a(q) be the second derivative of -7*q**5/80 - 5*q**4/48 + 2*q**3/3 - q**2/2 - q - 5. Let a(t) = 0. Calculate t.
-2, 2/7, 1
Let w(r) be the second derivative of -r**6/180 - r**5/45 - r**4/36 - r**3/6 + r. Let a(l) be the second derivative of w(l). Suppose a(k) = 0. Calculate k.
-1, -1/3
Let f = -6 + 8. Factor 0*d**f + 0*d**2 + d**2.
d**2
Find f, given that -3*f**2 + 3/5 - 9/5*f**3 - 3/5*f = 0.
-1, 1/3
Let y(x) = 25*x**3 + 47*x**2 - 29*x. Let l(b) = -124*b**3 - 236*b**2 + 144*b. Let j(i) = 5*l(i) + 24*y(i). Factor j(s).
-4*s*(s + 3)*(5*s - 2)
Let p = -7 - -4. Let z = -1 - p. Factor 1 - 3*g**3 + z*g**3 - g**2 + g + 0*g**2.
-(g - 1)*(g + 1)**2
Let t be (-160)/(-45) + 4/9. Let n(r) = r - 1. Let o be n(1). Find v such that 2/3*v**3 + o - 2/3*v**t - 2/3*v**5 + 2/3*v**2 + 0*v = 0.
-1, 0, 1
Let i(o) = 2*o + 26. Let h be i(-11). Determine a, given that -4*a**2 + h*a**5 + 2*a**2 + 12*a + 2*a**4 - 6*a**3 - 10*a = 0.
-1, 0, 1/2, 1
Let k(q) be the second derivative of q**7/42 + 7*q**6/90 + q**5/12 + q**4/36 - 2*q - 6. Factor k(j).
j**2*(j + 1)**2*(3*j + 1)/3
Let m(n) be the second derivative of -n**4/36 + 2*n**3/9 - 2*n**2/3 - 5*n. Suppose m(v) = 0. What is v?
2
Let q = -1 + 14. Let u be (-2)/q - (-184)/182. Factor 8/7*v + u*v**2 - 8/7.
2*(v + 2)*(3*v - 2)/7
Let t(i) be the first derivative of -2*i**5/15 + 5*i**4/12 - i**3/9 - i**2/3 + 1. Factor t(q).
-q*(q - 2)*(q - 1)*(2*q + 1)/3
Let w(c) be the second derivative of -c**4/4 + c**3/2 + 6*c. Factor w(h).
-3*h*(h - 1)
Let o(p) = p**3 - 2*p**2 - p - 2. Let n(w) = w**3 - 3*w**2 - w - 3. Suppose 4*k = 8 - 0. Let t(j) = k*n(j) - 3*o(j). Let t(i) = 0. Calculate i.
-1, 0, 1
Let s(j) be the third derivative of 0*j**3 + 0 - 1/40*j**6 - 1/210*j**7 + j**2 - 1/24*j**4 + 0*j - 1/20*j**5. Factor s(r).
-r*(r + 1)**3
Let c = 21 - 14. Suppose 0 = -4*x - a - 2*a - c, 2*x + a + 1 = 0. Factor x - 2 - 2*o**2 + 2*o**4.
2*o**2*(o - 1)*(o + 1)
Suppose -3*l = 5*m - 1, -m - 21 = -4*m + 5*l. Let o = m + 2. Find v, given that 1/2*v**3 + v**o - v**2 + 0 - 3/4*v**5 + 1/4*v = 0.
-1, 0, 1/3, 1
Suppose -2 = -5*h + g + 5, -2*h + g + 1 = 0. Factor 0 - 2/7*w - 2/7*w**h.
-2*w*(w + 1)/7
Suppose 5*h = h. Let c(v) be the third derivative of 0 + 0*v**4 + 0*v - 2/315*v**7 + h*v**3 - 1/180*v**5 - 3*v**2 - 1/72*v**6. Suppose c(w) = 0. Calculate w.
-1, -1/4, 0
Let i(a) be the first derivative of -a**7/21 - a**6/15 + a**5/10 + a**4/6 + 2*a - 2. Let n(f) be the first derivative of i(f). Factor n(c).
-2*c**2*(c - 1)*(c + 1)**2
Let m(n) = n - 1. Suppose -4*k + k - 4*x = -13, -k + 4*x - 1 = 0. Let c be m(k). What is t in -2*t + 0*t**2 + t**c - 6*t**2 = 0?
-2/5, 0
Let c(s) be the third derivative of 0 + 0*s - 1/120*s**5 + 1/80*s**6 + 6*s**2 + 1/672*s**8 - 1/140*s**7 + 0*s**4 + 0*s**3. Find o, given that c(o) = 0.
0, 1
Let v(o) = -o**2 + 10*o - 19. Let k be v(3). Suppose -1/2*f**k - 3/2 + 2*f = 0. What is f?
1, 3
Factor -32/3*h - 4/3 - 49/3*h**3 - 77/3*h**2.
-(h + 1)*(7*h + 2)**2/3
Let r(z) = 3*z**4 - 10*z**3 - 37*z**2 - 18*z. Let c(a) = -65*a**4 + 220*a**3 + 815*a**2 + 395*a. Let m(y) = 2*c(y) + 45*r(y). Solve m(j) = 0.
-1, 0, 4
Let h(x) = x**2 + 11*x + 13. Let o be h(-10). Let j(a) be the second derivative of 0 - 1/6*a**2 + o*a - 4/9*a**4 + 4/9*a**3. Factor j(b).
-(4*b - 1)**2/3
Suppose -2*y + 4 = -0. Let -15*f + 16*f**2 + f**3 + 4*f + 0 + y - 8*f**3 = 0. Calculate f.
2/7, 1
Let t be (-16)/(-144) - 33/(-189). Find j such that -2/7*j**3 - 2/7*j**2 + t + 2/7*j = 0.
-1, 1
Let m(s) be the second derivative of 2*s**7/21 + 2*s**6/5 + s**5/5 - s**4 - 4*s**3/3 + 7*s. What is i in m(i) = 0?
-2, -1, 0, 1
Find a such that 7 - a**2 - 9 + 12 - 3*a = 0.
-5, 2
Solve -3/2 - 3/8*n**2 - 3/2*n = 0 for n.
-2
Let u(r) = -2*r**2 - 2*r - 4. Let q = 5 + -1. Let b be 16/5 + (-2)/10. Let v(p) = p**2 + 2*p + 3. Let c(w) = b*u(w) + q*v(w). Factor c(t).
-2*t*(t - 1)
Let j(t) = t**2 + 1. Let h(x) = 3*x**2 + 2. Let d be (-1)/(3 + 13/(-4)). Let f(n) = d*h(n) - 10*j(n). Factor f(r).
2*(r - 1)*(r + 1)
Let h be (-18)/5*-1 + (-7 - -4). Factor 1/5*o**2 + 0*o + h*o**4 - 1/5*o**5 + 0 - 3/5*o**3.
-o**2*(o - 1)**3/5
Let g(l) = -l**3 + 7*l**2 - 25*l + 27. Let o(q) be the second derivative of q**5/20 - q**4/2 + 4*q**3 - 27*q**2/2 + q. Let c(f) = -6*g(f) - 4*o(f). Factor c(d).
2*(d - 3)**3
Let n(r) be the third derivative of -r**7/3780 + r**6/1080 + r**4/12 + r**2. Let k(g) be the second derivative of n(g). Let k(z) = 0. What is z?
0, 1
Suppose 15 = 3*u + 3. Suppose -3*b = 9, 2*b = -5*r + u*b + 6. Let 2/9*i**3 + 0 + r*i**2 - 2/9*i = 0. Calculate i.
-1, 0, 1
Let q(p) be the first derivative of p**7/189 - p**6/45 + p**5/45 + p**4/27 - p**3/9 + p**2/9 + 4*p + 1. Let i(v) be the first derivative of q(v). Factor i(z).
2*(z - 1)**4*(z + 1)/9
Let f = 6 + -8. Let g be f/(-9) - (-32)/18. What is u in -u**3 + 1/4 - u + 3/2*u**g + 1/4*u**4 = 0?
1
Let a = -1 - -5/3. Solve -2/3*p - 4/3 + a*p**2 = 0 for p.
-1, 2
Determine i so that 4/7*i**3 + 4/7*i**4 + 0 + 0*i - 8/7*i**2 = 0.
-2, 0, 1
Let 2/3*t**4 + 0 - 2/15*t**3 - 2/3*t**2 + 2/15*t = 0. What is t?
-1, 0, 1/5, 1
Let q = 13 + -11. Determine k, given that -3*k**3 - k**q - 5*k**2 + 0*k**2 = 0.
-2, 0
Suppose -3*c = 5*y + 14, 4*y + 4 = 3*y. Solve -2 + z**3 + z + c*z + z**4 + z**2 - 4*z**3 = 0.
-1, 1, 2
Factor -43*n**2 + 15*n**2 - 44 + 60 + 0*n - 12*n.
-4*(n + 1)*(7*n - 4)
Let g(w) = -w**2 - 14*w - 10. Let m be g(-13). Suppose 2/9*i**2 + 0*i + 2/9*i**4 + 0 - 4/9*i**m = 0. Calculate i.
0, 1
Let j(p) = 3*p - 5. Let a(h) = -2*h + 3. Let i(t) = -8*a(t) - 5*j(t). Let s(c) = -2*c**2 + 6*c + 14. Let d(f) = -6*i(f) + s(f). What is u in d(u) = 0?
-2, 2
Suppose 6*x - 188 = -176. Factor -h + 3/4*h**x + 1/4.
(h - 1)*(3*h - 1)/4
Suppose 45/7*f**2 - 27/7*f + 0 + 3/7*f**4 - 3*f**3 = 0. Calculate f.
0, 1, 3
Let h(p) be the second derivative of -6*p + 0*p**2 + 1/147*p**7 - 1/21*p**4 + 2/105*p**6 + 0*p**5 - 1/21*p**3 + 0. Factor h(k).
2*k*(k - 1)*(k + 1)**3/7
Let i(q) = 2*q**5 + 7*q**4 - 25*q**3 + 9*q. Let j(d) = -d**5 - 5*d**4 + 17*d**3 - 6*d. Let w(g) = -5*i(g) - 7*j(g). Find p, given that w(p) = 0.
-1, 0, 1
Let s(v) = -2*v**5 - 2*v**4 + 2*v**2 - 2*v + 2. Let l = 15 + -13. Let u(t) = t**4 + t**3 - t**2 + t - 1. Let k(w) = l*u(w) + s(w). Let k(i) = 0. What is i?
-1, 0, 1
Let k(b) = b**3 + b**2 + 2*b + 2. Let f be k(0). Let r(g) be the second derivative of 0 - g + g**