 2/9*h + 0 = 0.
0, 1
Suppose 0 = -o + 6 - 0. Let l(d) be the second derivative of 0 - 1/2*d**2 - 3*d + 1/30*d**o + 0*d**4 + 1/3*d**3 - 1/10*d**5. Let l(c) = 0. What is c?
-1, 1
Let t be (-10)/4*(-4 + 174/45). Factor 2/3 + t*a - 1/3*a**2.
-(a - 2)*(a + 1)/3
Let h = -1 - -3. Factor 2*b**2 + b**2 + 6*b - 5 - 5*b**h + 1.
-2*(b - 2)*(b - 1)
Let q(j) be the third derivative of -j**5/80 + 3*j**4/8 - 9*j**3/2 - 32*j**2. Factor q(t).
-3*(t - 6)**2/4
Let r(j) be the third derivative of -j**6/540 + j**5/270 - 9*j**2. Factor r(u).
-2*u**2*(u - 1)/9
Let j = 186/65 - 32/13. Factor -1/5 - 1/5*b**2 - j*b.
-(b + 1)**2/5
Suppose -4*o = -5*o + 3, -2*x - 22 = -4*o. Let s = 7 + x. Solve 2*l + 15 - s*l**2 - 15 = 0.
0, 1
Let -123/2*y**2 - 14 - 49/2*y**4 - 182*y**3 + 82*y = 0. What is y?
-7, -1, 2/7
Let a(u) = -45*u**5 - 95*u**4 + 10*u**3 - 30*u**2 - 30*u. Let q(p) = p**5 + p**4 - p**3 + p**2 + p. Let z(n) = a(n) + 30*q(n). What is d in z(d) = 0?
-4, -1/3, 0
Factor 0 + 0*z**2 - 1/4*z**4 - 1/2*z**3 + 0*z.
-z**3*(z + 2)/4
Let u(g) = g**3 + 8*g**2 + 8*g + 9. Let t be u(-7). Factor 6*s - 3*s**3 - 5*s**2 + 0*s**3 + 5*s**2 + 3*s**t.
-3*s*(s - 2)*(s + 1)
Suppose -7*g + 5 + 9 = 0. Let u = 24 - 47/2. Factor 0 + 0*c - u*c**g.
-c**2/2
Let y(b) = b**3 + 5*b**2 - 8*b - 9. Let f = -13 - -7. Let w be y(f). Factor 4*u**3 - 3*u**w - 2*u**3.
-u**3
Let h(i) = -4*i**2 + 6*i - 2*i + 1 - 2 + i**3. Let b be h(3). Let -5*j**3 - 2*j**4 - j**3 - 2*j**5 - 4*j**4 - 2*j**b = 0. What is j?
-1, 0
Let p(z) be the second derivative of -5*z**4/18 + 4*z**3/9 + z**2/3 + 8*z. Factor p(u).
-2*(u - 1)*(5*u + 1)/3
Let x(v) be the third derivative of v**8/420 + 17*v**7/525 + 19*v**6/150 - v**5/150 - 2*v**4/3 - 16*v**3/15 + 35*v**2. Suppose x(t) = 0. Calculate t.
-4, -1, -1/2, 1
Let o = 11 + -7. Suppose -4 = -2*b - 2*d, -o*d + 6 = -d. Factor b + 0*w - 2/3*w**4 + 8/3*w**3 - 8/3*w**2.
-2*w**2*(w - 2)**2/3
Let o(x) be the second derivative of x**6/3 - x**5/4 - 5*x**4/6 + 5*x**3/6 - 4*x. Factor o(t).
5*t*(t - 1)*(t + 1)*(2*t - 1)
Let j = 277 + -277. Let -1/4*i**4 - 1/4*i**5 - 1/2*i + j + 3/4*i**3 + 1/4*i**2 = 0. Calculate i.
-2, -1, 0, 1
Let o be 33/60 + (-3)/12. Let d = o - -1/5. Factor 1/2*w**2 - d + 1/2*w**3 - 1/2*w.
(w - 1)*(w + 1)**2/2
Let r(v) be the first derivative of -3*v**5/20 + v**3/4 - 10. Solve r(g) = 0.
-1, 0, 1
Let u(w) be the first derivative of 2*w**5/45 - w**4/12 - 4*w**3/27 + w**2/6 + 2*w/9 + 5. Find o such that u(o) = 0.
-1, -1/2, 1, 2
Let w = -5 - -14. Factor -3*y + 2*y + w*y - 12*y**2 - 2*y**4 - 2 + 8*y**3.
-2*(y - 1)**4
Let w(q) be the third derivative of q**8/7560 + q**7/1890 - q**5/270 - q**4/108 - q**3/6 - q**2. Let n(z) be the first derivative of w(z). Factor n(r).
2*(r - 1)*(r + 1)**3/9
Let c = 20 + -13. Factor -9*q**2 + 2*q**4 + 14*q**2 - q + q**5 - c*q**2.
q*(q - 1)*(q + 1)**3
Suppose -6*p + 2*p = -44. Suppose 3*h - p = 2*y, -h = -0*h - 5*y + 5. Factor -h*b**5 - 8*b**4 - 12*b**3 + 0*b + b**5 - 2*b + 2*b**5 - 8*b**2.
-2*b*(b + 1)**4
Suppose -2*t - r - 2*r = 36, -60 = 2*t - 3*r. Let q be 8/t + 17/33. Factor 0 + 4/11*u**3 + q*u**4 + 0*u + 0*u**2.
2*u**3*(u + 2)/11
Let t be (-6)/15*1 - (-40)/25. Factor -3*p + t + 12/5*p**2 - 3/5*p**3.
-3*(p - 2)*(p - 1)**2/5
Let k(y) be the third derivative of y**7/13860 - y**6/1980 + y**4/12 + 3*y**2. Let q(r) be the second derivative of k(r). Find t such that q(t) = 0.
0, 2
Factor -1/4*g + 0 - 1/4*g**3 + 1/2*g**2.
-g*(g - 1)**2/4
Let n = 6 - 4. Suppose -4*t + 4*c + 32 = 0, -n*t - 2*t = 4*c. Find l such that 0 + 1/3*l**t + 0*l - 1/3*l**2 - 1/3*l**3 + 1/3*l**5 = 0.
-1, 0, 1
Let o be (9/7)/(2/(-4) + 1). Factor -o*x + 27/7 + 3/7*x**2.
3*(x - 3)**2/7
Let p = 41/119 + -1/17. Let l(m) be the first derivative of 3/14*m**4 + 10/21*m**3 - p*m**5 - 4/21*m**6 + 1/7*m**2 - 2 + 0*m. Suppose l(g) = 0. What is g?
-1, -1/4, 0, 1
Suppose 3 + 9 = 4*w. What is h in 10*h - 4*h**4 + w*h**2 - 6*h**3 + h**4 - 4*h = 0?
-2, -1, 0, 1
Let u(v) = 4*v**4 - 4*v**3 - 10*v**2 + 4*v. Let l(j) = -j**3. Let y(b) = -6*l(b) + u(b). Let y(z) = 0. Calculate z.
-2, 0, 1/2, 1
Let n = -8 - -10. Let d = 335/623 + 3/89. Let -2*w + d + 6/7*w**3 + 4/7*w**n = 0. What is w?
-2, 1/3, 1
Let r(z) be the first derivative of -z**6/30 - 3*z**5/25 - 3*z**4/20 - z**3/15 - 9. Factor r(m).
-m**2*(m + 1)**3/5
Let j(m) be the second derivative of m**5/150 + m**4/30 + m**2/2 + 3*m. Let d(i) be the first derivative of j(i). Factor d(p).
2*p*(p + 2)/5
Let f = -1725/2 + 882. Factor -f*t**4 + 33*t**3 - 27*t**2 + 21/2*t + 9/2*t**5 - 3/2.
3*(t - 1)**4*(3*t - 1)/2
Find a such that 0*a**2 - 3/2*a**4 + 0*a + 3/2*a**3 + 0 = 0.
0, 1
Let q(b) = -b**3 + 11*b**2 - 10*b + 2. Let i be q(10). Let 12*l**4 - 3*l + 3*l**3 - 10*l**4 + l**i - 1 - 2*l**2 = 0. Calculate l.
-1, -1/2, 1
Let r(q) be the second derivative of 0*q**2 - 3*q - 1/24*q**3 - 1/48*q**4 + 0. Solve r(k) = 0.
-1, 0
Let h(o) be the third derivative of -11*o**5/60 + o**4/12 + 2*o**2. Factor h(y).
-y*(11*y - 2)
Let u(k) be the third derivative of k**6/8 + k**5/6 - 35*k**4/24 + 5*k**3/3 + 11*k**2. Determine s so that u(s) = 0.
-2, 1/3, 1
Let q(n) = n**3 - 2*n**2 - 2*n + 3. Let j be q(0). Let i(w) be the second derivative of -w - 2/21*w**j + 0 - 1/70*w**5 + 0*w**2 - 1/14*w**4. Factor i(o).
-2*o*(o + 1)*(o + 2)/7
Find w such that 7/3*w**2 + w + 0 + 1/3*w**4 + 5/3*w**3 = 0.
-3, -1, 0
Let -17*l**2 - 63*l - 5*l**5 + 58*l - 20*l**4 - 3*l**2 - 30*l**3 = 0. What is l?
-1, 0
Let v = 8 + -4. Let x(n) be the third derivative of n**2 + 0*n - 1/210*n**5 - 1/42*n**v + 0*n**3 + 0. Find i such that x(i) = 0.
-2, 0
Let h(x) be the third derivative of x**7/70 - x**6/120 - x**5/20 + x**4/24 + 4*x**2. Factor h(s).
s*(s - 1)*(s + 1)*(3*s - 1)
Let r be 2 + 1 + (-5)/5. Let g be (r/(-8))/(28/(-32)). Factor -2/7*j**2 + 0*j - g*j**4 + 0 + 4/7*j**3.
-2*j**2*(j - 1)**2/7
Let n = 61/99 - -3/11. What is l in -n*l + 2/9*l**2 + 8/9 = 0?
2
Factor 1/4*n**2 + 5/4 - 3/2*n.
(n - 5)*(n - 1)/4
Let y(l) be the third derivative of -3/140*l**7 + 3/40*l**5 + 0*l + 0 - 1/16*l**4 - 1/80*l**6 + 1/112*l**8 - 7*l**2 + 0*l**3. Let y(k) = 0. Calculate k.
-1, 0, 1/2, 1
Suppose -4*c - 5*a + 3 = 0, -1 = -c - 0*c - a. Let o(p) be the first derivative of -2/3*p**2 + 1 - c*p**4 + 0*p + 2/3*p**5 + 2*p**3. Factor o(t).
2*t*(t - 1)**2*(5*t - 2)/3
Let 6/13*k - 18/13 + 10/13*k**2 + 2/13*k**3 = 0. Calculate k.
-3, 1
Let s(z) be the third derivative of 0 + 3/16*z**4 + 5*z**2 + 1/2*z**3 + 1/40*z**5 + 0*z. Factor s(b).
3*(b + 1)*(b + 2)/2
Let o(t) = -17*t**4 - t**3 + 14*t**2 + t - 3. Let y(b) = -188*b**4 - 10*b**3 + 154*b**2 + 10*b - 34. Let m(g) = 68*o(g) - 6*y(g). Factor m(q).
-4*q*(q - 1)*(q + 1)*(7*q + 2)
Let i(o) be the third derivative of -o**5/480 + o**4/192 + o**3/24 + 23*o**2. Factor i(f).
-(f - 2)*(f + 1)/8
Let m(s) be the third derivative of -s**7/280 - s**6/30 - s**5/10 + 5*s**3/6 + 9*s**2. Let u(j) be the first derivative of m(j). What is r in u(r) = 0?
-2, 0
Let o be 5/(90/12)*3. Let r(a) be the first derivative of -6*a - 3 + 2*a**o - 2/9*a**3. Solve r(k) = 0 for k.
3
Let w be (10/12)/(((-70)/(-15))/7). Solve 1/2 - k**3 + 7/4*k - w*k**2 = 0 for k.
-2, -1/4, 1
Let k(w) be the first derivative of -w**5/50 - w**4/10 - 2*w**3/15 - 2*w - 1. Let m(f) be the first derivative of k(f). Factor m(v).
-2*v*(v + 1)*(v + 2)/5
Let s(n) = n**3 + n**2 - 3*n - 3. Let w be s(2). Let o = 4 + -2. Factor 0*x + 1/2*x**w + 0*x**o + 1/2*x**5 + 0 - x**4.
x**3*(x - 1)**2/2
Suppose l - 9 = -2*l. Let r(c) = -c**2 - 5*c + 2. Let m(i) = -i**2 - 4*i + 1. Let y(u) = l*m(u) - 2*r(u). Suppose y(s) = 0. Calculate s.
-1
Let t be (20/(-3))/((-2)/6). Suppose 16*g + 4*g**3 + 0*g**3 - t*g = 0. What is g?
-1, 0, 1
Let v(u) be the third derivative of -1/120*u**6 + 0 - 1/280*u**7 + 1/24*u**4 - 3*u**2 + 1/120*u**5 + 0*u + 1/24*u**3. Find m such that v(m) = 0.
-1, -1/3, 1
Let d(c) be the first derivative of c**6/15 + 2*c**5/25 - 3*c**4/5 + 4*c**3/15 + c**2 - 6*c/5 + 55. What is v in d(v) = 0?
-3, -1, 1
Factor -126*p**2 + 0*p - 10 + 130*p**2 - p**3 + 7*p.
-(p - 5)*(p - 1)*(p + 2)
Let a(p) = -6*p**2 + 6*p - 6. Let h(l) = -7*l**2 + 5*l - 6. Let f(t) = -4*a(t) + 3*h(t). Determine r so that f(r) = 0.
1, 2
Let k(m) be the second derivative of -3*m + 1/21*m**3 - 1/14*m**4 + 0 + 0*m**2. Let k(g) = 0. Calculate g.
0, 1/3
Let a be (-20)/(-30) + (-44)/(-9) + -2. Solve -10