-8). Let h be (-3)/9*a/(-3). Factor -h + 0*t + 2/9*t**2.
2*(t - 1)*(t + 1)/9
Let o(g) = 5*g**3. Let f be o(1). Suppose 7*b = f*b. Suppose 2/7*u**5 + 4/7*u**2 - 4/7*u**4 + 0*u**3 + b - 2/7*u = 0. Calculate u.
-1, 0, 1
Let r(i) be the second derivative of i**4/12 - i**3 + 9*i**2/2 - 32*i. Factor r(v).
(v - 3)**2
Let s be (40/((-10)/(-1)))/(5*1). Determine m, given that 2/5*m**2 + 0 - s*m = 0.
0, 2
Let f be (0 - -7)*6/(-7). Let l be 4/3 - 4/f. Let l*c - 4*c - 2*c**2 + c**3 + 3*c = 0. Calculate c.
0, 1
Let t(q) be the first derivative of q**4/14 + 2*q**3/21 - 36. Factor t(r).
2*r**2*(r + 1)/7
Let p be 3 + -2 + (-10)/(-8). Let 1/4*i**2 + 3/2*i + p = 0. What is i?
-3
Find z such that 0*z**2 + 3/2*z**3 - 3/2*z + 0 = 0.
-1, 0, 1
Suppose -4/7 - 2/7*v + 4/7*v**2 + 2/7*v**3 = 0. Calculate v.
-2, -1, 1
Let l be (4/6)/((-6)/(-45)). Let o be ((-10)/15)/(1/(-3)). Solve -4 - 2*t**o - 4 + l*t + 3*t = 0.
2
Suppose 20*u - 14 = 46. Suppose 0*k - 3/2*k**2 + 0 - 3/2*k**u = 0. What is k?
-1, 0
Let t(p) = 7*p**2 + 10*p - 17. Let l(v) = -20*v**2 - 30*v + 50. Let g(x) = 5*l(x) + 14*t(x). Factor g(n).
-2*(n - 1)*(n + 6)
Let c be ((-3)/6)/((-84)/288). Let m be (2/6)/(9/108). Suppose -12/7*r**3 + 6/7 + 15/7*r - 3/7*r**5 + 6/7*r**2 - c*r**m = 0. What is r?
-2, -1, 1
Suppose 3*i = 5*v - 12, -1 - 5 = -3*v + 3*i. Suppose -n**v + n**2 - 2*n**2 - n**3 = 0. What is n?
-1/2, 0
Let j be (2/(-4))/((6370/(-168))/35). Determine g, given that -j*g - 2/13*g**2 + 0 = 0.
-3, 0
Factor 1/6*r**5 - 1/2*r - 1/6 + 1/2*r**4 - 1/3*r**2 + 1/3*r**3.
(r - 1)*(r + 1)**4/6
Let f be (-60)/216 + (-1)/(-2). Let p(z) be the third derivative of 0*z + 2*z**2 - 1/180*z**5 - f*z**3 - 1/18*z**4 + 0. Factor p(g).
-(g + 2)**2/3
Let p = 29 + -8. Let n = 6 + p. Factor 25*r - 2*r**2 - r**2 - n - 7*r.
-3*(r - 3)**2
Suppose -u = 4*n + 16, -4*u - n = -5*n - 36. Let l be 3 - (u - (2 - -2)). Suppose 0*x - 2/3*x**2 + 0 + 2/3*x**l = 0. Calculate x.
0, 1
Let d be (-3)/(-10)*1/12. Let l(s) be the second derivative of 2*s + 1/24*s**4 - 1/4*s**2 + 0 - d*s**5 + 1/12*s**3. Solve l(n) = 0.
-1, 1
Suppose m + 11 = 4*i + 3, -3*m - 4*i = -8. Let w(l) be the first derivative of m*l**3 - 1/5*l**5 - 1 + 0*l**2 + 0*l + 0*l**4. What is u in w(u) = 0?
0
Let n(j) be the second derivative of -1/63*j**7 + 0 - 1/9*j**3 + 1/3*j**2 - 1/9*j**4 - 7*j + 1/45*j**6 + 1/15*j**5. What is r in n(r) = 0?
-1, 1
Let p(t) be the first derivative of 1/6*t**4 + 0*t**2 - 1/10*t**5 + t + 0*t**3 + 1. Let c(j) be the first derivative of p(j). Factor c(z).
-2*z**2*(z - 1)
Let w be (4 + -2)*-1 - -5 - -1. Factor -2/7*i**3 + 0 - 2/7*i**2 + 2/7*i**w + 2/7*i.
2*i*(i - 1)**2*(i + 1)/7
Suppose 0 = k + 7 - 20. Let z be ((-2)/78)/(k/(-78)). Factor 0*u + 0 - 2/13*u**2 - z*u**3.
-2*u**2*(u + 1)/13
Factor 1/2*o**3 - 3*o**2 - 4 + 6*o.
(o - 2)**3/2
Let k(j) be the second derivative of j**5/120 - j**4/18 + 8*j - 1. Suppose k(c) = 0. What is c?
0, 4
Let j(m) be the second derivative of -1/60*m**5 + 0 + 0*m**3 + m + 0*m**2 - 1/36*m**4. Solve j(l) = 0.
-1, 0
Let p(k) be the second derivative of -k**6/90 - k**5/15 + k**4/2 - k**3/2 - 9*k. Let d(c) be the second derivative of p(c). Suppose d(j) = 0. Calculate j.
-3, 1
Let m(w) be the third derivative of 2*w**7/105 + w**6/15 - w**4/3 - 2*w**3/3 - 8*w**2. Let m(j) = 0. What is j?
-1, 1
Determine a, given that -1/4*a + 1/2*a**3 - a**2 + 1/2*a**4 + 1/2 - 1/4*a**5 = 0.
-1, 1, 2
Let r(y) be the first derivative of 7 - 4/5*y - 32/15*y**3 + 11/5*y**2 + 7/10*y**4. Let r(n) = 0. What is n?
2/7, 1
Let r(b) be the first derivative of 3*b**5/20 + b**4/4 - b**3/2 - 3*b**2/2 - 4*b - 5. Let x(h) be the first derivative of r(h). Factor x(p).
3*(p - 1)*(p + 1)**2
Let b(s) = 3*s + 6. Let g be b(-4). Let t = 8 + g. Suppose 6*q**4 - 4*q**3 - 3*q**3 + t*q**2 - 2*q**4 + q = 0. Calculate q.
-1/4, 0, 1
Let q be ((-4)/(-3))/2*6. Suppose q*p - 18 = -3*a, -2*p + 6 = 3*a - 6. Find l such that -1/4*l**a + 1/4*l + 1/2 = 0.
-1, 2
Let t(i) be the first derivative of -15*i**6/2 + 30*i**5 - 65*i**4/4 - 100*i**3/3 - 10*i**2 - 20. Factor t(r).
-5*r*(r - 2)**2*(3*r + 1)**2
Let s = -282 - -284. Solve -4/5 + 0*o + 1/5*o**s = 0.
-2, 2
Suppose -5*m + k + 11 = -0*m, -3*m - 3*k = -21. Suppose 0 + 2/5*w**m + 0*w + 4/5*w**4 + 2/5*w**5 + 0*w**2 = 0. Calculate w.
-1, 0
Let t(h) be the first derivative of -2/3*h**3 + 2*h + 1/2*h**2 - 1/4*h**4 - 4. Solve t(p) = 0 for p.
-2, -1, 1
Let d(g) be the second derivative of -g**5/120 - g**4/72 + g**3/18 + 3*g. Solve d(r) = 0 for r.
-2, 0, 1
Factor -6/7*t**2 - 12/7 - 3*t + 3/7*t**3.
3*(t - 4)*(t + 1)**2/7
Let j(h) be the third derivative of -h**7/210 - h**6/60 + h**4/12 + h**3/6 - 8*h**2. Let j(y) = 0. Calculate y.
-1, 1
Suppose 0*k + 0*k**3 + 6/5*k**2 - 3/5 - 3/5*k**4 = 0. Calculate k.
-1, 1
Let j(l) be the second derivative of l**6/30 - l**4/2 + 4*l**3/3 - 3*l**2/2 - 2*l. Find g such that j(g) = 0.
-3, 1
Let q be -1 + -3 - (-3)/1. Let m be 0 - (q - (-4)/4). Let 2/5*h**2 + m + 2/5*h = 0. What is h?
-1, 0
Let -3*b**2 - 64*b + 6 + 25*b + 19*b + 17*b = 0. What is b?
-2, 1
Suppose -r = -3*r. Let w = 0 + r. Factor 4*j**2 + w*j**2 - 2*j**3 - 5*j + 3*j.
-2*j*(j - 1)**2
Let y(j) = -3*j**5 + 18*j**4 + 18*j**3 + 6*j**2 + 9. Let r(b) = b**5 - 9*b**4 - 9*b**3 - 3*b**2 - 4. Let u(g) = -9*r(g) - 4*y(g). Solve u(p) = 0 for p.
-1, 0
Suppose 42 - 40 = f. What is y in 2/7*y**f + 2/7*y**3 + 0 + 0*y = 0?
-1, 0
Let i(f) be the first derivative of -f**3/3 - f**2 + 7. Factor i(s).
-s*(s + 2)
Let a be 16/(-9) - (-9 - -7). Let k(j) be the third derivative of 1/36*j**4 + 3*j**2 - 1/90*j**5 + a*j**3 + 0 + 0*j. Factor k(i).
-2*(i - 2)*(i + 1)/3
Let k(q) = q**2 - 7*q - 7. Let s be k(8). Let d be ((-14)/(-49))/(s/7). Factor -1/3*x**3 + 1/3*x**4 + 0*x**d + 0*x + 0.
x**3*(x - 1)/3
Suppose -32 - 5*p**2 + 2*p**2 + 16*p + p**2 = 0. What is p?
4
Let g(h) be the third derivative of -h**7/42 - h**6/12 + h**5/12 + 5*h**4/12 + h**2. Factor g(b).
-5*b*(b - 1)*(b + 1)*(b + 2)
Let i = -183 - -187. Let x(t) be the first derivative of -6/5*t - 4/5*t**3 + 0*t**i + 2/25*t**5 - 3 + 8/5*t**2. Find v such that x(v) = 0.
-3, 1
Determine y so that -11*y**3 - 45*y**4 - 2*y**2 + 87*y**4 - 36*y**4 = 0.
-1/6, 0, 2
Let w = 0 + 2. Factor s**2 - s**w - 6*s**3 + 2*s**3.
-4*s**3
Let l be (-24)/(-14) + 8/28. Determine z so that 2 + z**l - 2*z**3 - 2 + z**3 = 0.
0, 1
Factor s**4 - 8*s**3 - 2*s**5 - 2*s**5 - 5*s**4 + 8*s**2 + 4*s + 8*s**5 - 4.
4*(s - 1)**3*(s + 1)**2
Let u be 148/24 + -4 - (-2)/(-12). Let x(y) be the first derivative of 1/5*y**5 + 0*y**u - 2/3*y**3 + 0*y + 1/4*y**4 + 1. Factor x(q).
q**2*(q - 1)*(q + 2)
Let l(n) be the first derivative of n**7/147 - 3*n**5/70 - n**4/21 + 6*n - 11. Let a(j) be the first derivative of l(j). Determine r so that a(r) = 0.
-1, 0, 2
Let d(r) be the first derivative of -r**7/14 + 3*r**6/10 - 3*r**5/10 + 3*r - 7. Let v(y) be the first derivative of d(y). Find g, given that v(g) = 0.
0, 1, 2
Let q(i) be the first derivative of 5*i**4/14 + 4*i**3/21 - 5*i**2/7 - 4*i/7 + 24. Find c such that q(c) = 0.
-1, -2/5, 1
Let i be ((-14)/(-49))/((-4)/7)*0. Let s = 10 + -7. Factor -1/4*r**s + 1/4*r**2 + 1/4*r + i - 1/4*r**4.
-r*(r - 1)*(r + 1)**2/4
Let h(p) be the first derivative of 3/2*p**4 + 2 - 4*p**3 - 1/5*p**5 + 5*p**2 - 3*p. Factor h(u).
-(u - 3)*(u - 1)**3
Let z = 5 - -3. Let n = 10 - z. Let s(o) = o**3 - o**2 + 1. Let g(j) = j**4 - 2*j**3 + j - 1. Let i(l) = n*g(l) + 2*s(l). Find t such that i(t) = 0.
-1, 0, 1
Let w(o) = 3*o**3 + 9*o**2 + 8*o. Let f(t) = -3*t**3 - 9*t**2 - 9*t. Let k(s) = -2*f(s) - 3*w(s). Let k(m) = 0. What is m?
-2, -1, 0
Suppose -6*v = -3*v - 30. Let n = v - 7. Let -1/4*f**5 + 1/2*f**n + 1/4*f**4 + 1/4 - 1/2*f**2 - 1/4*f = 0. What is f?
-1, 1
Suppose 11 = 2*j + 1. Factor -s**4 - 5*s**2 + 0*s + 7*s**4 - s**2 - 3*s + 3*s**j.
3*s*(s - 1)*(s + 1)**3
Factor 97 - 15*s**2 + 5*s**4 - 97 + 10*s.
5*s*(s - 1)**2*(s + 2)
Factor 32/3*c + 4/3*c**4 + 20*c**2 - 64/3 - 32/3*c**3.
4*(c - 4)**2*(c - 1)*(c + 1)/3
Let l = -292/5 + 1753/30. Let p(m) be the second derivative of -2/9*m**3 + 0 + 1/90*m**6 + 2/3*m**2 - 1/12*m**4 + l*m**5 - m. Find i such that p(i) = 0.
-2, 1
Let s(m) = -m - 10. Let u be s(-6). Let i be ((-2)/u)/(2/12). Solve y**3 - 4*y + 2*y**2 - 2*y**3 + i*y = 0 for y.
0, 1
Let n(j) = j**2 - 9*j - 10. Let c(d) = 5 + 6 - 5*d + 14*d - 2. Let a(p) =