).
(f - 2)**2
Let v(p) = p**2 + 6*p - 9. Let c be v(-9). Let z(d) = d + 9. Let h be z(-7). Let h - 20*s + 0*s**2 + 14*s**2 + c*s**2 + 18*s**2 = 0. What is s?
1/5
Let o = -166 - 15. Let m = 1631/9 + o. What is c in 4/9 + m*c**2 + 2/3*c = 0?
-2, -1
Factor -1/5 + 0*w + 1/5*w**2.
(w - 1)*(w + 1)/5
Let b = 8 + -15/2. Let r = b + 0. Let w**4 - 1/2*w - w**2 + r*w**5 + 0 + 0*w**3 = 0. What is w?
-1, 0, 1
Let k(x) = x - 1. Let c(g) = g**2 - 1. Let t be c(-2). Let f be k(t). Factor 2/5 + 4/5*p + 2/5*p**f.
2*(p + 1)**2/5
What is y in y - y + 4*y**2 + 0*y**2 = 0?
0
Suppose 0 = 2*c + 3*d - 41, 4*d - d = 3*c - 54. Factor -15*w**2 + 65*w + 133*w**2 + c*w + 29*w**2 + 12.
3*(7*w + 2)**2
Let s(x) be the second derivative of x**7/1120 - 3*x**5/160 - x**4/16 + x**3/3 + 5*x. Let d(g) be the second derivative of s(g). Factor d(a).
3*(a - 2)*(a + 1)**2/4
Let w(t) = 6*t**4 + 8*t**3. Let d(q) = q**5 - q**3 + q**2. Let b(f) = 4*d(f) + 2*w(f). Factor b(x).
4*x**2*(x + 1)**3
Let m be (-3)/((-69)/60 + 10/25). Factor 5/3*w**m + 0*w + 0 - 2/3*w**5 - 4/3*w**3 + 1/3*w**2.
-w**2*(w - 1)**2*(2*w - 1)/3
Let x = -4 - -7. Factor -2*r**2 - 3*r + 2*r + 2*r**x - 3*r**3.
-r*(r + 1)**2
Let s = 6 - 4. Let m(t) be the third derivative of -1/90*t**5 + 1/36*t**4 + 0*t + 0 - t**s + 0*t**3. Factor m(n).
-2*n*(n - 1)/3
Factor -18 - 1/2*a**2 - 6*a.
-(a + 6)**2/2
Let g(f) be the first derivative of f**8/336 + f**7/70 - f**5/15 + f**2/2 + 2. Let k(q) be the second derivative of g(q). Factor k(y).
y**2*(y - 1)*(y + 2)**2
Let d(r) be the third derivative of r**7/70 - r**6/20 - r**5/5 + r**4/4 + 3*r**3/2 + 40*r**2 - 1. Factor d(f).
3*(f - 3)*(f - 1)*(f + 1)**2
Let r(l) = -l**2 + 2*l - 1. Let p(w) = 2*w**2 - 3*w + 1. Let g(y) = -5*y - 7. Let m be g(-2). Let k(x) = m*r(x) + 2*p(x). Factor k(s).
(s - 1)*(s + 1)
What is t in 0*t**3 + 2/7*t**5 + 0 + 4/7*t**2 - 4/7*t**4 - 2/7*t = 0?
-1, 0, 1
Let y(t) be the second derivative of -9/2*t**2 - 5*t + 0 + 1/4*t**4 - t**3. Factor y(o).
3*(o - 3)*(o + 1)
Let l(q) be the second derivative of q**6/120 + q**5/20 + q**4/8 + q**3/6 - 3*q**2/2 + 2*q. Let d(z) be the first derivative of l(z). Factor d(y).
(y + 1)**3
Let f(a) be the third derivative of a**6/840 + 13*a**5/140 + 169*a**4/56 + 2197*a**3/42 + 2*a**2 + 8*a. Find o, given that f(o) = 0.
-13
Find z such that -2/3*z - 1/3*z**2 + 0 = 0.
-2, 0
Let o(s) = -2*s - 12. Let y be o(-8). Let 2*p**2 - 2*p - 2*p**y + 4*p**3 + 0*p - 2*p**3 = 0. Calculate p.
-1, 0, 1
Let y(m) be the third derivative of -m**7/280 + m**6/40 - 3*m**5/40 + m**4/8 - m**3/8 - 19*m**2. What is x in y(x) = 0?
1
Let r be (-2)/6*0 + 4 + -1. Let v(d) be the first derivative of -d + 1/2*d**2 + 1/4*d**3 - 1/20*d**5 - r - 1/8*d**4. Solve v(t) = 0.
-2, 1
Let d be (0 - -3) + (1 - 0). Suppose 0 = -d*y + y + 9. Factor -2*k**3 + 14*k**2 + 0*k**y - 4*k - 8*k**3.
-2*k*(k - 1)*(5*k - 2)
Let g(z) = -z**2 - 8*z + 20. Let b be g(-10). Let a**4 - 3/2*a**3 + b*a**2 + 1/2*a + 0 = 0. What is a?
-1/2, 0, 1
Suppose 6/7*k**3 - 6/7*k**5 + 0*k + 0 - 4/7*k**2 + 4/7*k**4 = 0. What is k?
-1, 0, 2/3, 1
Let w(s) be the second derivative of 2/9*s**2 - 1/27*s**3 + 2*s + 0 - 1/54*s**4. Factor w(i).
-2*(i - 1)*(i + 2)/9
Suppose -2*s + 41 = 5. Suppose -4*v + s = -5*d, 2*d = -3*v - d. Factor -1/2*k - 1/2*k**v + 0.
-k*(k + 1)/2
Let s(y) be the third derivative of 0 + 1/3*y**3 - 1/30*y**5 + 0*y + 0*y**4 + 5*y**2. Factor s(m).
-2*(m - 1)*(m + 1)
Let w(q) be the third derivative of -q**7/350 + q**6/200 + q**5/100 - q**4/40 - 8*q**2. Factor w(x).
-3*x*(x - 1)**2*(x + 1)/5
Let n(p) = 2*p + 5. Let h be n(6). Let z(r) = r**3 - 7*r**2 - 5*r + 6. Let v be z(8). Factor -v*y**3 - 14*y**2 - 3*y + y - h*y**4 - y**4.
-2*y*(y + 1)*(3*y + 1)**2
Let q(o) be the third derivative of -o**8/2016 + o**7/1260 + o**2. Factor q(n).
-n**4*(n - 1)/6
Let k(v) be the first derivative of -2*v**5/5 - v**4/2 + 2*v**3/3 + v**2 - 7. Suppose k(i) = 0. Calculate i.
-1, 0, 1
Let h(z) be the first derivative of -z**7/420 + z**6/60 - z**4/3 - z**3 - 4. Let o(k) be the third derivative of h(k). Suppose o(n) = 0. What is n?
-1, 2
Suppose -6*h + 12 + 0 = 0. Solve 2/9*z**h + 0*z + 0 = 0.
0
Let x = 4 + -1. Suppose f + 4*q = -q - 11, 9 = -x*q. Find t such that 0 - 1/4*t**f - 3/4*t**2 + 1/4*t + 3/4*t**3 = 0.
0, 1
Let m(p) be the second derivative of -p**6/120 + p**4/48 - 3*p. Suppose m(j) = 0. What is j?
-1, 0, 1
Let p = 4 + -7. Let o = -1 - p. What is n in -o*n**4 + n**4 - n**4 = 0?
0
Let t(w) be the second derivative of 0*w**3 + 1/100*w**5 + 0 + 1/150*w**6 + 4*w + 0*w**4 + 0*w**2. Suppose t(o) = 0. What is o?
-1, 0
Let f be 0*((-2)/(-4) + 4/8). Let u(j) be the second derivative of 2*j + 1/3*j**2 + 5/18*j**3 + 1/18*j**4 - 1/15*j**5 - 2/45*j**6 - 1/126*j**7 + f. Factor u(d).
-(d - 1)*(d + 1)**3*(d + 2)/3
Factor 2/5 - 1/5*l**3 - l + 4/5*l**2.
-(l - 2)*(l - 1)**2/5
Suppose l - c = 5*l - 21, -3*l - c + 15 = 0. Let o(m) be the third derivative of 1/60*m**5 - 1/240*m**l - 1/48*m**4 - 2*m**2 + 0*m**3 + 0*m + 0. Factor o(y).
-y*(y - 1)**2/2
Find v, given that 4/3*v**2 - 16/3 + 16/3*v - 4/3*v**3 = 0.
-2, 1, 2
Let m(b) = -b**5 - 14*b**4 - 9*b**3 + 4*b**2. Let a(s) = s**5 - s**4 - s**3 + s**2. Let c(x) = -4*a(x) + m(x). Factor c(f).
-5*f**3*(f + 1)**2
Factor -92*i - 96*i + 186*i + 8*i**4 - 6*i**2.
2*i*(i - 1)*(2*i + 1)**2
Let -3*n**2 + 0 + 1 + 2*n**2 = 0. What is n?
-1, 1
Let x = -2792/5 + 2814341/5040. Let j(h) be the third derivative of 0*h**3 - 1/72*h**4 + 0*h + 1/90*h**5 - h**2 + 0*h**6 - 1/315*h**7 + 0 + x*h**8. Factor j(d).
d*(d - 1)**3*(d + 1)/3
Let f(a) be the second derivative of -a**7/1260 + a**6/180 + a**4/4 + 3*a. Let s(d) be the third derivative of f(d). Factor s(i).
-2*i*(i - 2)
Suppose -8/9*u**2 + 2/3*u**4 + 0 + 2/9*u**5 + 0*u + 0*u**3 = 0. What is u?
-2, 0, 1
Let m(g) be the first derivative of 4*g**5/15 + g**4/3 + g**3/9 - 1. Let m(a) = 0. What is a?
-1/2, 0
Suppose 6*b + 6 = 9*b. Factor -3/5*f**b - 3/5 - 6/5*f.
-3*(f + 1)**2/5
Let k(b) be the second derivative of -b**6/105 - b**5/10 - 3*b**4/7 - 20*b**3/21 - 8*b**2/7 + 26*b. Suppose k(o) = 0. Calculate o.
-2, -1
Let x(m) be the third derivative of -2*m**7/105 + m**5/15 - 11*m**2. Find h, given that x(h) = 0.
-1, 0, 1
Suppose 2*v = 2*h + 12, -h + 3*h + 18 = 3*v. Factor -2*i + i + i**4 - v*i**3 + 7*i**3 - i**2.
i*(i - 1)*(i + 1)**2
Let m(z) be the first derivative of 5 + 2/3*z**3 - 8*z**2 + 32*z. Factor m(r).
2*(r - 4)**2
Let i(q) be the first derivative of 1 + 8/3*q**3 + 4*q + 5*q**2 + 1/2*q**4. Factor i(a).
2*(a + 1)**2*(a + 2)
Let x(d) = -d**5 + d**4 + d**2 + d + 1. Let n(y) = -6*y**5 - 9*y**4 + 3*y**3 - 3*y**2 - 3*y - 3. Let b(m) = -n(m) - 3*x(m). Determine v, given that b(v) = 0.
-1, 0, 1/3
Find l such that -2*l + 0 + 10/9*l**3 - 2/9*l**4 - 2/3*l**2 = 0.
-1, 0, 3
Let l(n) = -n + 1. Let j be l(1). Suppose 0 = 5*s - j*s, -r + 2 = -4*s. Let 0*c**r - 2/5*c**3 + 0*c + 0 = 0. What is c?
0
Let j(i) = i**2 + 1. Let n(l) = -8*l**2 - 7. Let b(v) = -14*j(v) - 2*n(v). Factor b(q).
2*q**2
Let u(n) be the third derivative of n**6/480 + n**5/60 - n**4/32 - 3*n**3/4 + 18*n**2. Factor u(s).
(s - 2)*(s + 3)**2/4
Let c(r) be the first derivative of -r**4/14 - 4*r**3/21 + r**2/7 + 4*r/7 - 51. Find v, given that c(v) = 0.
-2, -1, 1
Let d be (6/9)/(2/3). Let b(w) be the first derivative of 0*w - 1/5*w**5 + 0*w**4 + 1/3*w**3 + 0*w**2 - d. Factor b(z).
-z**2*(z - 1)*(z + 1)
Suppose 0 + 2/5*a**3 + 0*a**2 - 2/5*a = 0. What is a?
-1, 0, 1
Suppose 1 = -3*m + 4. Let x = -28 + 31. Determine q, given that -m + q**2 + 3*q - x*q = 0.
-1, 1
Let j = -48 + 54. Let n(x) be the second derivative of 1/3*x**3 + 1/5*x**2 + 3/10*x**4 + 7/50*x**5 + 2/75*x**j + 0 + 2*x. Factor n(l).
2*(l + 1)**3*(2*l + 1)/5
Let d(l) be the first derivative of 3*l**4/8 - 4. Factor d(z).
3*z**3/2
Let y(w) = -3*w**2 + 90*w - 147. Let n(j) = j**2 - 36*j + 59. Let b(l) = -12*n(l) - 5*y(l). Factor b(t).
3*(t - 3)**2
Factor 2*n**3 - 4/3*n**2 + 0 - 2/3*n**4 + 0*n.
-2*n**2*(n - 2)*(n - 1)/3
Let d be (-10)/(-2)*6/15. Suppose s + s - 4*w + d = 0, -10 = -5*w. Find i, given that s*i**3 + i**2 + i**4 + 0*i**3 - i**3 = 0.
-1, 0
Let -2*v**2 + 3/2*v**4 + 0 + 0*v + 0*v**3 + 1/2*v**5 = 0. Calculate v.
-2, 0, 1
Let d be (1077/225 - 2) + -2. Let s = d + -3/25. Solve -s*v + 0 + 2*v**2 + 8/3*v**3 = 0.
-1, 0, 1/4
Let v(f) be the third derivative of