25 - 2*i**4/5 - 2*i**3/3 - 2*i**2/5 - 1. Factor l(c).
-2*c*(c + 1)**2*(c + 2)/5
Factor -4/5 + 4/5*m - 1/5*m**2.
-(m - 2)**2/5
Suppose 3*c + 3 = -p, 0*c - 15 = -4*c + 5*p. Let o = c + 3. Suppose -45*t**2 + t**3 + 48*t - 12 - 7*t**o + 15*t**4 + 0*t**3 = 0. Calculate t.
-2, 2/5, 1
Let a(h) be the third derivative of h**8/588 - 4*h**7/735 + 2*h**5/105 - h**4/42 + 10*h**2. Suppose a(m) = 0. What is m?
-1, 0, 1
Let g(m) be the third derivative of 0*m + 1/120*m**6 - 2*m**2 - 1/210*m**7 + 0*m**3 + 0 - 1/24*m**4 + 1/60*m**5. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Suppose -1/9*x**4 + 1/9*x**5 - 2/9*x**3 + 1/9*x - 1/9 + 2/9*x**2 = 0. What is x?
-1, 1
Let j(l) = -l. Let o be j(0). Let p = o + 3. What is h in 2/5 + 2*h + 8/5*h**p + 16/5*h**2 = 0?
-1, -1/2
Let k(n) be the second derivative of n**6/15 + 4*n**5/5 + 4*n**4 + 32*n**3/3 + 16*n**2 + 24*n. Let k(a) = 0. What is a?
-2
Let a = 10/3 + -64/21. Factor -a*t**3 - 4/7*t**2 + 0 + 0*t.
-2*t**2*(t + 2)/7
Let h = -7 + 29/4. Suppose w + 4 = 5. Let y + h*y**2 + w = 0. What is y?
-2
Let j(t) be the second derivative of t**5/20 + t**4/12 - 3*t. Let j(c) = 0. Calculate c.
-1, 0
Let h be 8 + -5 + 0/(-3). Let o(p) be the second derivative of -p + 2/11*p**2 + 1/22*p**4 + 0 + 5/33*p**h. Factor o(i).
2*(i + 1)*(3*i + 2)/11
Let a = 23 + -21. Let r(d) be the second derivative of 0*d**3 - 1/4*d**a - d + 0*d**5 + 1/12*d**4 - 1/60*d**6 + 0. Factor r(v).
-(v - 1)**2*(v + 1)**2/2
Let y = 163/13380 - -1/223. Let m(d) be the second derivative of -1/12*d**4 - 1/6*d**3 - y*d**5 + 0 - 1/6*d**2 - 2*d. Factor m(g).
-(g + 1)**3/3
Let z be 26/7 + -1 - (-4)/14. Factor 1/2 - 1/2*o**z - 1/2*o**2 + 1/2*o.
-(o - 1)*(o + 1)**2/2
What is p in -27*p - 4*p**3 + 32 - 7*p - 23*p + 24*p**2 + 9*p = 0?
2
Suppose -v**2 - 4*v + 8*v**2 + 14*v**3 + 3*v**2 = 0. Calculate v.
-1, 0, 2/7
Let i(t) be the second derivative of -t**7/15120 - t**6/2160 - t**5/720 + t**4/12 - t. Let c(o) be the third derivative of i(o). Factor c(x).
-(x + 1)**2/6
Let w(y) = -4*y + 18. Let n be w(4). Factor 2/11*t**4 + 2/11 - 4/11*t**n + 0*t + 0*t**3.
2*(t - 1)**2*(t + 1)**2/11
Factor -5/2*i**5 - 160 + 200*i - 25*i**4 + 50*i**2 - 125/2*i**3.
-5*(i - 1)**2*(i + 4)**3/2
Let u = 5 + -5. Suppose 10 = -u*d + 5*d. Suppose 9*h**4 - 21*h**3 - 6 + h + 10*h - 3*h**d + 6*h + 4*h = 0. What is h?
-1, 1/3, 1, 2
Let n(c) be the first derivative of 1/3*c**3 + 1/3*c**4 - 1/3*c - 4/15*c**5 - 1/3*c**2 + 3. Let n(a) = 0. What is a?
-1/2, 1
Let d(z) = z**4 + z**2 - z + 1. Let v(r) = 5*r**4 - 6*r**3 - 9*r**2 + 5*r - 5. Let a be 0/(-2) + 2 + -1. Let i(j) = a*v(j) + 5*d(j). Let i(y) = 0. What is y?
-2/5, 0, 1
Let v(y) = y**3 - 5*y**2 + 4*y - 6. Let t(g) = g**3 - 4*g**2 + 3*g - 5. Let c(s) = 6*t(s) - 5*v(s). Suppose c(h) = 0. What is h?
-2, 0, 1
Determine i so that 9/4*i**4 + 3/2*i**3 + i**5 + 0*i + 1/4*i**2 + 0 = 0.
-1, -1/4, 0
Let u be 1*3*-1*33/(-165). Let f = 33/4 - 153/20. Factor -6/5*i - u - f*i**2.
-3*(i + 1)**2/5
Let s(a) be the third derivative of -a**10/453600 + a**5/20 + a**2. Let o(j) be the third derivative of s(j). Factor o(m).
-m**4/3
Let a = 80 - 238/3. Solve 2/3*z - 2/3*z**3 + 0 - a*z**2 + 2/3*z**4 = 0 for z.
-1, 0, 1
Suppose -a + 4*l = 14, 3*a + 4*l - 11 = 11. Let j(g) = -g - 2. Let c be j(-5). Solve 2*t**2 + 8 - 8 + a*t**c = 0 for t.
-1, 0
Let p(l) be the second derivative of 1/60*l**6 - 1/20*l**5 + 0*l**2 - 1/24*l**4 + 1/6*l**3 - 2*l + 0. Let p(q) = 0. Calculate q.
-1, 0, 1, 2
Let j(g) = -g**2 + 4*g + 6. Let b be j(6). Let s = b - -11. Suppose 1/2*a**2 + 1/4*a**s - 1/4*a**4 - 1/2*a**3 - 1/4 + 1/4*a = 0. Calculate a.
-1, 1
What is b in -11*b**2 + 0*b**3 + 1 + 8*b - 10*b**2 - 2 + 18*b**3 = 0?
1/3, 1/2
Let i(j) be the third derivative of -j**8/840 - 2*j**7/525 + j**6/100 + 4*j**5/75 + j**4/15 - 35*j**2. Let i(o) = 0. Calculate o.
-2, -1, 0, 2
Let p(y) be the first derivative of 0*y**3 + 0*y - 2*y**3 + 3*y + y**3 + 2. Let p(n) = 0. Calculate n.
-1, 1
Suppose -34*t**2 - t + 30*t**2 - 4*t**3 + 9*t = 0. What is t?
-2, 0, 1
Suppose 3*p - c + 3 = 0, p + 12 = 5*p + 4*c. Factor 2/5*u**2 + 0 + p*u.
2*u**2/5
Let l be 9*6*5/150. Find d, given that 12/5*d - l - 3/5*d**2 = 0.
1, 3
Let m(p) = -p**3 + 1. Let s(g) = -g**4 + 12*g**3 - 6 - 6*g**2 + 0 - 5 + 4*g + 2. Let n(b) = 24*m(b) + 3*s(b). Factor n(k).
-3*(k - 1)**4
Let y(g) be the first derivative of g**9/3024 + g**8/1680 - g**3 - 3. Let a(o) be the third derivative of y(o). Factor a(v).
v**4*(v + 1)
Let c(z) be the second derivative of -z**4/78 - 4*z**3/39 - 4*z**2/13 + 11*z. Let c(d) = 0. Calculate d.
-2
Let g = 17 + -10. Let w(x) be the second derivative of 1/21*x**4 + 2*x + 0*x**6 + 3/70*x**5 - 1/147*x**g + 0*x**3 + 0 + 0*x**2. Factor w(a).
-2*a**2*(a - 2)*(a + 1)**2/7
Let f = -27 - 9. Let m = -34 - f. Find z, given that 0 + 6/7*z**3 + 2/7*z + 6/7*z**m + 2/7*z**4 = 0.
-1, 0
Let b(z) be the third derivative of z**7/2940 - z**6/504 + z**5/210 - z**4/12 - 2*z**2. Let h(s) be the second derivative of b(s). Let h(j) = 0. What is j?
2/3, 1
Let c(a) be the third derivative of -5*a**8/672 + 2*a**7/105 - a**6/240 - a**5/60 + 7*a**2. Find s, given that c(s) = 0.
-2/5, 0, 1
Let w(b) = -3*b**3 + b**2 - 8*b - 5. Let j(p) = p**2 + p + 1. Let x be 2 + 0 + 0 - 7. Let z(f) = x*j(f) - w(f). Suppose z(u) = 0. What is u?
0, 1
Suppose -2*v - 2*v + 3*v + v**2 + 2 - 2*v**2 = 0. Calculate v.
-2, 1
Let w(v) be the second derivative of 1/6*v**4 - 1/10*v**5 - 3*v + 2/3*v**3 + 0 + 0*v**2. Factor w(g).
-2*g*(g - 2)*(g + 1)
Let x(o) = -o**2 - 4*o. Let n(c) be the third derivative of -c**6/120 + c**5/60 + c**2. Let m(h) = 6*n(h) - 2*x(h). Determine i so that m(i) = 0.
-2/3, 0, 2
Factor -6/5 + 9/5*w - 3/5*w**3 + 0*w**2.
-3*(w - 1)**2*(w + 2)/5
What is z in -32/5*z**4 + 4/5 - 8/5*z**3 + 22/5*z + 28/5*z**2 - 14/5*z**5 = 0?
-1, -2/7, 1
Let s = 18 + -13. Let s*h**2 + 4*h + 0*h - 7*h**2 = 0. What is h?
0, 2
Let y be ((-5)/(5/2))/2. Let n = y + 2. Factor -n + g**2 + 1/2*g**3 - 1/2*g.
(g - 1)*(g + 1)*(g + 2)/2
Let l(g) = -g**2 + g + 1. Let r(p) = -p**3 - 6*p**2 - 3*p. Let b(j) = -2*l(j) + r(j). Factor b(i).
-(i + 1)**2*(i + 2)
Let h(w) be the third derivative of -1/525*w**7 + 0*w - 2*w**2 + 0*w**3 - 1/300*w**6 + 0 + 1/150*w**5 + 1/60*w**4. Determine j, given that h(j) = 0.
-1, 0, 1
Let w(u) be the third derivative of u**7/840 - u**6/120 + u**5/40 - u**4/4 - 8*u**2. Let j(z) be the second derivative of w(z). Suppose j(k) = 0. Calculate k.
1
Let 2*r**2 + 2 - 4*r**2 + 0*r**2 = 0. What is r?
-1, 1
Let p(h) = -13*h**3 - 48*h**2 - 93*h - 48. Let m(i) = 72*i**3 + 264*i**2 + 512*i + 264. Let a(v) = 5*m(v) + 28*p(v). What is x in a(x) = 0?
-3, -2, -1
Let k(p) be the first derivative of -p**5/270 + p**4/108 - 7*p**2/2 + 5. Let a(j) be the second derivative of k(j). Factor a(b).
-2*b*(b - 1)/9
Let k = -151 + 154. Determine g, given that -1/4*g**k - 3*g - 2 - 3/2*g**2 = 0.
-2
Suppose 0*a + 5*a = 10. Suppose -q**2 - 3*q**2 - 4*q**3 + 2*q**3 - 2*q**a - 4*q = 0. What is q?
-2, -1, 0
Let a(r) be the first derivative of r**6/15 - 2*r**5/25 - 3. Suppose a(p) = 0. Calculate p.
0, 1
Let y be 0*(((-45)/(-6))/(-5) + 2). Find v such that y - 1/2*v**3 - 1/2*v**2 + v = 0.
-2, 0, 1
Let l(d) be the third derivative of d**7/420 - d**5/60 + 5*d**3/6 - 3*d**2. Let g(q) be the first derivative of l(q). Let g(y) = 0. What is y?
-1, 0, 1
Let u(i) be the second derivative of -i**9/13608 + i**8/3780 - i**7/3780 - 5*i**3/6 - 6*i. Let p(n) be the second derivative of u(n). Find r such that p(r) = 0.
0, 1
Let b(p) be the first derivative of 0*p**4 - 1/2*p**2 + 1/30*p**5 + 0*p + 0*p**3 + 3 + 1/60*p**6. Let u(k) be the second derivative of b(k). Factor u(t).
2*t**2*(t + 1)
Let y be (2 - 2 - 4)*2/(-4). Determine k, given that 2 - 7/2*k**2 + k**3 + y*k = 0.
-1/2, 2
Suppose h + 6 = 3*h. Suppose -3*s**2 - 6*s - h*s + 6 + 6*s = 0. What is s?
-2, 1
Factor 2/7*r**2 + 0*r + 0.
2*r**2/7
Let v be 1/4 - 3/(-4). Let q(d) = d**2 - d + 1. Let m be q(v). Factor 3*x - x**2 - x - m - 4*x.
-(x + 1)**2
Let c be 17*1/(-7) - (-6 + 3). Factor 2/7*l**4 - c*l - 6/7*l**2 + 0*l**3 + 0.
2*l*(l - 2)*(l + 1)**2/7
Suppose -41 + 49 = 4*z. Factor -w**z - 1/2 - 5/4*w - 1/4*w**3.
-(w + 1)**2*(w + 2)/4
Let z be 2/(-8) + ((-305)/60 - -6). Suppose z*h**3 + 4/3*h**2 + 0 + 2/3*h = 0. What is h?
-1, 0
Let f(i) = -i**2 - i - 2. Let b(d) be the third derivati