r -n + 32/5*t - 10*t**3 - 2*t**2.
-2*(t + 1)*(5*t - 2)**2/5
Suppose -2*i + 6*i = 12. Suppose 7 - 9 + i*s + 4 - 5*s**2 = 0. What is s?
-2/5, 1
Let a be -1*(-2 - 66/8). Suppose 1 + 6*p + a*p**2 + 19/4*p**3 - 7/4*p**5 - 9/4*p**4 = 0. Calculate p.
-1, -2/7, 2
Suppose -y = 3*m - 2*m - 4, 4*m - 5*y = 7. Let 3*l**2 + 8*l**3 + 1 + 4*l**m + 2*l**3 - 5*l - 5*l**3 = 0. What is l?
-1, 1/3
Suppose -3*h + h + 32 = 0. Let m be ((-6)/16)/((-12)/h). Find j such that 3/2*j + 1/2*j**3 - m - 3/2*j**2 = 0.
1
Let o(v) be the third derivative of v**7/210 + v**6/120 - v**5/60 + v**4/24 - 3*v**2. Let a(w) = -2*w**4 + 2*w**2 - 2*w. Let q(x) = a(x) + o(x). Factor q(y).
-y*(y - 1)**2*(y + 1)
Let h be (4 + -4)/(-3 + 1). Let g(n) be the second derivative of 1/30*n**5 - 1/18*n**4 + 0*n**2 + 2*n - 1/63*n**7 + 1/45*n**6 + h + 0*n**3. Factor g(f).
-2*f**2*(f - 1)**2*(f + 1)/3
Let k(f) = -f**3 + 9*f**2 + 3. Let m be k(8). Let b = 605/9 - m. Factor 0 + b*x**4 + 2/9*x**2 + 4/9*x**3 + 0*x.
2*x**2*(x + 1)**2/9
Let p = -3 + 3. Suppose -7 = -3*u + 2. Solve p*v**2 - 6*v + 2*v**2 + u*v + v = 0 for v.
0, 1
What is h in -9*h**2 + 7*h - 3 + 8*h**2 - 3 = 0?
1, 6
Let r(g) be the first derivative of -g**2 - 1/2*g**4 - 4/3*g**3 - 1 + 0*g. Factor r(o).
-2*o*(o + 1)**2
Let t be (-30)/(-400)*(-4)/(-6). Let i = t - -1/5. Factor 1/2 - 1/4*d - i*d**2.
-(d - 1)*(d + 2)/4
Let h(f) be the second derivative of 2*f**6/45 - 11*f**5/60 + 5*f**4/36 + f**3/9 - 34*f. Suppose h(a) = 0. Calculate a.
-1/4, 0, 1, 2
Let g(t) be the third derivative of t**5/60 - t**4/6 - t**3/3 - t**2. Let r be g(5). Find j, given that 5*j**r - 5*j + 3 - j**4 - 1 + 8*j**4 - 9*j**2 = 0.
-1, 2/7, 1
Let n(f) be the third derivative of f**9/1008 - f**7/140 + f**5/40 + 5*f**3/6 - 5*f**2. Let r(j) be the first derivative of n(j). Factor r(y).
3*y*(y - 1)**2*(y + 1)**2
Let x(b) = b**3 - 11*b**2 - 13*b + 15. Let y be x(12). Factor -4*z + 4*z - 3*z**y.
-3*z**3
Let m be (-2)/4*17/(255/(-6)). Solve 0*p**2 + 0*p**4 + 0*p + 0 + 1/5*p**5 - m*p**3 = 0 for p.
-1, 0, 1
Suppose -4*a = d - 17, 2*d + 5*a - 25 = -0*a. Factor 1/4 + 5/2*g**2 - 1/4*g**d - 5/2*g**3 - 5/4*g + 5/4*g**4.
-(g - 1)**5/4
Let d(b) = b - 9. Let h be d(11). Let q be -3 + 6 + -3 + h. Let 0 - 1/2*s**q + 0*s = 0. Calculate s.
0
Let -2*q**5 - 17 + 10*q**3 - 18 + 43 - 8*q - 10*q**2 + 2*q**4 = 0. Calculate q.
-2, -1, 1, 2
Let a be 13/(-26) - 11/(-10). Factor a*s - 1/5*s**2 - 2/5.
-(s - 2)*(s - 1)/5
Suppose j + 1 = -s + 2*s, -j = 5*s - 23. Factor 6*m**2 + 3 + 0*m**2 + 15*m + j.
3*(m + 2)*(2*m + 1)
Suppose 0 = 3*w - 66 - 39. Let b = w + -104/3. Factor 1/3*g**2 + 0 + b*g.
g*(g + 1)/3
Let u = 373 + -371. Factor -14/5*b**3 + 0 + 4/5*b**u + 0*b.
-2*b**2*(7*b - 2)/5
Let h(z) = z**3 - 7*z**2 + 6*z + 6. Let a be h(6). Suppose -17*b = -14*b - 12. Factor 24*l**b + 14*l**5 + 5*l - 4*l**2 + a*l**3 - 5*l.
2*l**2*(l + 1)**2*(7*l - 2)
Suppose -o + 75 = g - 4*g, -33 = g - 3*o. Let z = 170/7 + g. Factor -2/7*q**4 + 0*q + 0*q**2 + z*q**3 + 0.
-2*q**3*(q - 1)/7
Suppose 1/6*j**4 - 2/3*j + 1/6 - 2/3*j**3 + j**2 = 0. What is j?
1
Let d(p) = -p**3 - 4*p**2 - 5*p - 4. Let h be d(-3). Suppose h*j + 3*a = 7*j - 7, -j - 3 = -5*a. Find o such that 2/3 + 4/3*o + 2/3*o**j = 0.
-1
Factor -2/5*f**4 - 2*f + 4/5 + 2/5*f**3 + 6/5*f**2.
-2*(f - 1)**3*(f + 2)/5
Factor 3*u**2 - 4 + 2*u**2 - 4*u - 5*u**2 - u**2.
-(u + 2)**2
Factor -1/5*n**3 - 6/5*n**2 - 8/5 - 12/5*n.
-(n + 2)**3/5
Let r(m) = -49*m**2 - 47*m - 3. Let d(h) = -24*h**2 - 24*h - 2. Let f(g) = 5*d(g) - 2*r(g). Find c such that f(c) = 0.
-1, -2/11
Factor c**2 - 1/5*c**3 - 3/5*c - 1/5*c**4 + 0.
-c*(c - 1)**2*(c + 3)/5
Suppose -2*j = -7*j - 2*g - 80, 4*g = -20. Let s be -2 - (-7)/(j/(-4)). Factor 2/7*o**2 - 2/7*o**3 + 0 + s*o.
-2*o**2*(o - 1)/7
Suppose -4 - 12*d**3 + 12*d - 9 - 4 + 3*d**4 + 9*d**2 + 5 = 0. Calculate d.
-1, 1, 2
Let y(s) be the third derivative of 125*s**8/84 - 20*s**7/21 - 31*s**6/3 - 164*s**5/15 - 31*s**4/6 - 4*s**3/3 - 4*s**2. Factor y(i).
4*(i - 2)*(i + 1)*(5*i + 1)**3
Suppose 10*j - 2*j = 0. Let v(n) be the third derivative of 0 - 3*n**2 + 1/315*n**7 + 1/90*n**5 + 1/90*n**6 + 0*n**4 + 0*n**3 + j*n. Let v(u) = 0. Calculate u.
-1, 0
Let x = -47 + 471/10. Let m(f) be the second derivative of 2*f + 1/6*f**4 - 1/9*f**3 - x*f**5 + 0*f**2 + 0 + 1/45*f**6. Factor m(t).
2*t*(t - 1)**3/3
Let p(a) be the first derivative of -a**6/3 + 16*a**5/5 - 12*a**4 + 64*a**3/3 - 16*a**2 - 30. Factor p(f).
-2*f*(f - 2)**4
Let m(o) be the second derivative of -o**8/672 + o**7/210 - o**6/240 - 2*o**2 - 2*o. Let k(f) be the first derivative of m(f). Factor k(w).
-w**3*(w - 1)**2/2
Solve -5/4*k**3 + 2*k + 1 - 7/4*k**2 = 0 for k.
-2, -2/5, 1
Let f(b) be the third derivative of -b**5/90 + b**4/12 - 2*b**3/9 + 6*b**2. Factor f(s).
-2*(s - 2)*(s - 1)/3
Let g(a) be the third derivative of -a**6/30 - 8*a**5/75 - a**4/30 + 4*a**3/15 + 37*a**2. Suppose g(i) = 0. Calculate i.
-1, 2/5
Let n(g) be the second derivative of -1/6*g**4 + 0*g**2 + 0 + 3*g + 1/3*g**3. Solve n(i) = 0.
0, 1
Suppose -14 + 10 = -2*k. Let p be (-3 - 44/(-8))*k. Determine g, given that -4/7*g**2 - 4/7*g**3 + 2/7 + 2/7*g**p + 2/7*g**4 + 2/7*g = 0.
-1, 1
Let r be 4 + 0/(-1) - 1*4. Let o(c) be the second derivative of -1/195*c**6 + c + 0 + 1/78*c**4 + 0*c**5 + r*c**2 + 0*c**3. Suppose o(g) = 0. What is g?
-1, 0, 1
Let y = -7 + 12. Solve -2*p**2 + y*p + 2 + p - 6 = 0.
1, 2
Determine d, given that -3*d**3 - 6*d**2 - 3*d - 92 + 92 = 0.
-1, 0
Let k(l) = l**2 - 3 + 2*l + 5 - 2*l**2. Let g(j) = j**2 - 2*j - 3. Let f = 2 - 6. Let h(x) = f*k(x) - 3*g(x). Factor h(a).
(a - 1)**2
Let p(r) be the third derivative of 2/35*r**7 + 0 + 0*r**4 - 6*r**2 - 1/84*r**8 + 0*r**3 + 1/15*r**5 + 0*r - 1/10*r**6. Solve p(h) = 0.
0, 1
Suppose -2*b - 5*x + 21 = 0, 0 = -4*b - 2*x + 5*x + 3. Factor 2*o - o + 3*o**2 - o**b - 1 - 2*o**2.
-(o - 1)**2*(o + 1)
Let u(t) be the second derivative of 1/60*t**5 - 4*t - 1/18*t**3 + 1/90*t**6 + 0 - 1/36*t**4 + 0*t**2. Let u(r) = 0. What is r?
-1, 0, 1
Suppose k = -2*a + 28, 5*a - 3*k - 18 = 74. Let f(o) be the first derivative of a*o + 60*o**3 + 25/2*o**4 - 2 - 50*o**5 - 52*o**2. What is m in f(m) = 0?
-1, 2/5
Let c(s) = -2*s - 10. Let v be c(-7). Suppose -3*k = -2 - v. Let 0*o**2 - o**3 + o + k*o**3 + 2*o**2 + 0*o = 0. Calculate o.
-1, 0
Let s be 28/(1 - (2 + -3)). Let m be (-8)/(-12) - s/(-6). Factor 6*l**2 - 3*l**3 + 0 - m*l + 0.
-3*l*(l - 1)**2
Let p(f) be the first derivative of 0*f + 1/14*f**4 + 4/7*f**2 - 8/21*f**3 - 2. Factor p(z).
2*z*(z - 2)**2/7
Suppose -j = j. Suppose 6 = -j*a + 2*a - l, 3*a + 3*l = 0. Factor 2/5*i**a - 2/5 + 0*i.
2*(i - 1)*(i + 1)/5
Let p be (-802)/(-200) + (0 - 4). Let t(r) be the third derivative of -2/15*r**3 + 0*r + 0 + 1/75*r**5 - 1/20*r**4 + p*r**6 + r**2. Solve t(z) = 0 for z.
-1, -2/3, 1
Factor 10/3*r**3 + 5/6*r**4 + 25/6*r**2 + 5/3*r + 0.
5*r*(r + 1)**2*(r + 2)/6
Let a(y) be the third derivative of 0*y - 1/36*y**4 + 2*y**2 + 0 + 1/30*y**5 - 2/9*y**3. Factor a(z).
2*(z - 1)*(3*z + 2)/3
Let u(f) be the third derivative of -f**9/30240 + f**8/3360 - f**7/1260 + f**5/60 + f**2. Let a(z) be the third derivative of u(z). Factor a(v).
-2*v*(v - 2)*(v - 1)
Determine q, given that 0*q + q**3 - 2/3*q**2 - 1/3*q**4 + 0 = 0.
0, 1, 2
Let m(h) = -h**5 - h**4 - 8*h**3 - 2*h**2 - 6*h. Let u(j) = -j**5 - 8*j**3 - j**2 - 5*j. Let l(s) = 5*m(s) - 6*u(s). Factor l(c).
c**2*(c - 2)**2*(c - 1)
Let i(d) be the first derivative of -2/5*d + 3/5*d**2 - 2/5*d**3 + 1/10*d**4 - 2. Factor i(b).
2*(b - 1)**3/5
Let o(b) be the first derivative of 2/3*b**3 + 0*b**2 - 2*b + 1. Factor o(s).
2*(s - 1)*(s + 1)
Let s(n) = -4*n**4 - 22*n**3 - 52*n**2 - 46*n - 16. Let m(q) = 8*q**4 + 43*q**3 + 104*q**2 + 91*q + 32. Let g(v) = -2*m(v) - 5*s(v). Factor g(k).
4*(k + 1)**2*(k + 2)**2
Let v = -36/19 - -357/38. Factor 8*l**3 - 9/2 + 4*l**2 - v*l.
(l - 1)*(4*l + 3)**2/2
Let j(d) be the first derivative of -d**5/120 + d**4/24 - d**3/12 - 7*d**2/2 - 4. Let c(a) be the second derivative of j(a). Let c(t) = 0. What is t?
1
Factor 0 - c - 1/4*c**2.
-c*(c + 4)/4
Let u be (-20)/(6/(-4) - -1). Suppose 9 + 32*w**3 + 66*w**2 + 7 - 8 - 14*w**4 + u*w - 12*w**5 = 0. What is w?
-1, -2/3, -1/2, 2
Let h be ((-2)/10)/(4/(-4)). Factor h + 1/5*g**2 + 2/5*g.
(g + 1)**2/5
Let p be 2/(-8) + 36/16. Factor 5*y**2 + 2*y**2 - y**2 - p*y 