
Let u = -715 + 718. Factor 3/2*w**4 + 0*w**u + 0*w**2 + 0*w + 3/2*w**5 + 0.
3*w**4*(w + 1)/2
Let r = 14 - 9. Suppose 1150*f = 1141*f. Factor 3/4*z**3 + 15/4*z**r - 3/2*z**2 + 0 + 6*z**4 + f*z.
3*z**2*(z + 1)**2*(5*z - 2)/4
Let c = -584 - -2921/5. Factor 0*k**4 + 0 + 0*k + 1/5*k**5 - c*k**3 + 0*k**2.
k**3*(k - 1)*(k + 1)/5
Let j = 0 - 0. Suppose d - 2*b + 15 = 4*d, j = -3*b. Suppose -2*l**d + 0 + l**2 - 1/2*l - 2*l**4 + 3/2*l**3 = 0. What is l?
-1, 0, 1/2
Let l(j) be the third derivative of -j**11/997920 + j**10/226800 - j**9/181440 - 7*j**5/60 - 3*j**2. Let y(c) be the third derivative of l(c). Factor y(b).
-b**3*(b - 1)**2/3
Factor -2*n + 1/3*n**2 + 3.
(n - 3)**2/3
Suppose -5 + 0 = -5*o. Let y(f) = -2*f**4 + f**2 - 2. Let k(w) = -w**4 - w**2 - 1. Let g(q) = o*k(q) - y(q). Solve g(x) = 0 for x.
-1, 1
Let h(d) be the third derivative of d**3 + 0 + 0*d + 1/56*d**8 + 1/8*d**6 - 7/8*d**4 - 1/10*d**7 + 1/4*d**5 + d**2. Find o, given that h(o) = 0.
-1, 1/2, 1, 2
Let z = 88 - 83. Let f(k) be the third derivative of 0 + 0*k**3 - 1/24*k**4 - 1/120*k**6 - 1/30*k**z + 4*k**2 + 0*k. Solve f(s) = 0 for s.
-1, 0
Factor -1/6*m**2 + 0*m + 0.
-m**2/6
Let l(v) = -4*v + 1 - 4 + 0*v**2 + 4*v**2 - v**2. Let d(r) = -r**2 + r + 1. Let i(s) = -12*d(s) - 3*l(s). Let i(u) = 0. Calculate u.
-1, 1
Let 94 + 117 - 17 - 42*a - 47 + 3*a**2 = 0. What is a?
7
Let q be ((-41)/15 - -4) + (-6)/10. Factor 2/3*s**2 + q*s - 4/3.
2*(s - 1)*(s + 2)/3
Let g(c) be the first derivative of 3*c**4/16 + c**3/2 + 3*c**2/8 + 54. Determine i, given that g(i) = 0.
-1, 0
Factor -4*d**2 - 5*d + 43 + 5*d**2 - 37 + 12*d.
(d + 1)*(d + 6)
Let k = 556363/318818 - -1/56262. Let r = k - 7/17. What is h in 0*h + 0 + 0*h**2 + 2/3*h**3 + 2/3*h**5 - r*h**4 = 0?
0, 1
Let x(h) = -h. Let d(p) = -p**2 + 12*p - 2. Suppose -2*o - 24 = -u, -3*o - 13 + 4 = 0. Let g(t) = u*x(t) + 2*d(t). Solve g(a) = 0.
1, 2
Suppose 5 = 3*w - 4. Let y(o) = -o**2 + 19*o + 29. Let a(h) = -h**2 + h - 1. Let d(u) = w*a(u) - y(u). Determine z so that d(z) = 0.
-4
Suppose 3*a = -15, 2*q - 2*a = -q + 16. Factor -2/3*g + 0 - 2/3*g**3 - 4/3*g**q.
-2*g*(g + 1)**2/3
Let p(x) be the second derivative of -x**6/210 + x**5/140 + x**4/21 - 2*x**3/21 + 21*x + 1. What is q in p(q) = 0?
-2, 0, 1, 2
Let s be ((-3)/7)/1 - 605/(-105). Factor 10/3*t**4 + 0 + 2/3*t**2 + s*t**3 - 4/3*t.
2*t*(t + 1)**2*(5*t - 2)/3
Suppose 4*r + 43 = 4*a - 17, -2*r - 2*a - 30 = 0. Let s be r/(-50)*(-10)/(-4). Let 3/4*m**2 + 3/4*m - s*m**4 + 0 - 3/4*m**3 = 0. What is m?
-1, 0, 1
Suppose -2 = -5*k + 2*g, 4*k - 2*g - 2*g + 8 = 0. Factor 1 - b**k + 0*b**4 + b**4 - b**2.
(b - 1)**2*(b + 1)**2
Suppose 0 = 2*a + 1 - 5. Suppose 6*p + 4 - 11*p - 25*p + 28*p**4 - 78*p**3 + 76*p**a = 0. Calculate p.
2/7, 1/2, 1
Let i(a) be the third derivative of -a**5/60 + a**4/24 - 3*a**2. Let x(n) = -18*n**2 + 3*n - 12. Let c(v) = 15*i(v) - x(v). Solve c(s) = 0 for s.
-2
Let b(z) be the third derivative of z**7/490 - 11*z**6/280 + 6*z**5/35 + 9*z**4/14 - 14*z**2. Factor b(m).
3*m*(m - 6)**2*(m + 1)/7
Factor 6/5*q**2 - 2/5*q**4 + 0 + 4/5*q + 0*q**3.
-2*q*(q - 2)*(q + 1)**2/5
Let u = 243 - 1213/5. Let b be -2*1/(-2) + 2. Suppose -2/5*g + 2/5*g**2 - 2/5*g**4 + u*g**b + 0 = 0. What is g?
-1, 0, 1
Let u(g) be the second derivative of g**7/42 - g**6/30 - g**5/20 + g**4/12 + 2*g. Solve u(t) = 0.
-1, 0, 1
Let k(l) be the second derivative of l**7/21 + l**6/15 - l**5/5 - l**4/3 + l**3/3 + l**2 + 6*l. Factor k(d).
2*(d - 1)**2*(d + 1)**3
Suppose 17 - 15 = p. Let v(o) be the first derivative of -1/7*o**p + 0*o - 2/21*o**3 - 2 + 1/14*o**4 + 2/35*o**5. Factor v(j).
2*j*(j - 1)*(j + 1)**2/7
Let d(m) be the third derivative of -9*m**6/40 - 3*m**5/10 + 5*m**4/2 - 4*m**3 + 6*m**2. Factor d(p).
-3*(p + 2)*(3*p - 2)**2
Let v = -48 - -26. Let c = -19 - v. Factor 0*j + 2/11*j**2 + 0 + 2/11*j**5 + 6/11*j**4 + 6/11*j**c.
2*j**2*(j + 1)**3/11
Let c(r) be the third derivative of r**8/336 + r**7/105 + r**6/120 + 18*r**2. Factor c(g).
g**3*(g + 1)**2
Let y(j) be the third derivative of -j**9/60480 + j**7/5040 - j**5/30 + j**2. Let f(m) be the third derivative of y(m). Factor f(i).
-i*(i - 1)*(i + 1)
Let f(q) be the second derivative of -q**5/30 + q**4/6 - q**3/3 + q**2/3 - 23*q. Find b, given that f(b) = 0.
1
Let 0 - c**3 - 1/2*c**2 + 0*c - 1/2*c**4 = 0. What is c?
-1, 0
What is w in 0*w**2 - 15*w + 6*w**2 - 5*w**2 - 6*w**2 = 0?
-3, 0
Let i(b) be the first derivative of -b**9/10584 + b**7/2940 - 2*b**3/3 + 1. Let c(h) be the third derivative of i(h). Factor c(a).
-2*a**3*(a - 1)*(a + 1)/7
Suppose -12*j = -j - 22. Factor 3/5*d**3 - 3/5 + 3/5*d**j - 3/5*d.
3*(d - 1)*(d + 1)**2/5
Suppose v = 2*a - 0*a + 3, 5*v - 7 = 2*a. Let r be (a + 1)/3 + 2. Factor -1 + 39*j**r - 1 - 35*j**3 - 2.
-(j - 1)*(5*j - 2)*(7*j + 2)
Let i be 1/((-7)/(-1) + -6 + 4). Factor 1/5*n + 0 - i*n**3 + 0*n**2.
-n*(n - 1)*(n + 1)/5
Let q = 11 - 4. Let v(h) be the second derivative of 2*h - 1/28*h**q + 0*h**3 + 1/15*h**6 + 0 - 1/40*h**5 + 0*h**4 + 0*h**2. Determine d so that v(d) = 0.
0, 1/3, 1
Suppose -3*j + 12 = -r, 3*r + 0 = 9. Factor -3*f**4 + 11*f**5 + f**4 - 9*f**j - 4*f**3.
2*f**3*(f - 2)*(f + 1)
Factor 3 - 6 + 11*u**2 - 8*u**2.
3*(u - 1)*(u + 1)
Let m(d) be the third derivative of 1/12*d**4 + 1/3*d**3 + 0 + 0*d + 5*d**2 + 1/20*d**6 - 1/6*d**5. Find f such that m(f) = 0.
-1/3, 1
Factor 1/6 + 1/6*f**2 + 1/3*f.
(f + 1)**2/6
Let a(i) be the first derivative of 9/80*i**5 - 4 + 0*i**2 - 7/120*i**6 + i + 0*i**3 - 1/24*i**4. Let f(p) be the first derivative of a(p). Factor f(b).
-b**2*(b - 1)*(7*b - 2)/4
Let j(f) be the third derivative of -f**7/525 + f**6/300 + f**5/50 - f**4/12 + 2*f**3/15 + 9*f**2. Let j(q) = 0. Calculate q.
-2, 1
Suppose -20*a + 16*a = 20. Let s = -3 - a. Solve 0*v**s + 0 + 0*v + 1/3*v**3 + 1/3*v**4 = 0.
-1, 0
Factor 0 - 3*o**2 - 3*o - 3/4*o**3.
-3*o*(o + 2)**2/4
Let 9/2*d + 3*d**2 - 3/2*d**5 - 9/2*d**4 + 3/2 - 3*d**3 = 0. What is d?
-1, 1
Let y be ((-4)/6)/((-2)/6). Suppose y*v - 3*v = 0. Factor -9/4*r**2 + v - 3/2*r - 3/4*r**3.
-3*r*(r + 1)*(r + 2)/4
Let m(t) = t**2 + 8*t + 10. Let p be m(-7). Let g = -1/143 - -2011/1287. Let -2/9 + 4/9*v + 8/9*v**p + g*v**2 = 0. What is v?
-1, 1/4
Let x(y) be the first derivative of -3*y**4/16 + 3*y**3/4 - 3*y**2/4 - 8. Factor x(k).
-3*k*(k - 2)*(k - 1)/4
Find v, given that 6*v**2 - 8*v**3 + 0*v**2 + 7*v**3 + 3*v**3 = 0.
-3, 0
Let i(b) be the third derivative of -b**8/168 + b**6/30 - b**4/12 - 21*b**2. Find l such that i(l) = 0.
-1, 0, 1
Let m(u) be the second derivative of u**7/28 + 3*u**6/20 - 27*u**5/40 + 5*u**4/8 + 2*u + 6. Factor m(q).
3*q**2*(q - 1)**2*(q + 5)/2
Let m(v) be the first derivative of v**5/25 - 2*v**4/5 + 6*v**3/5 - 8*v**2/5 + v - 15. Factor m(n).
(n - 5)*(n - 1)**3/5
Suppose 0 = 4*o - o - 9. What is u in 7*u**4 - 6*u**2 + 14*u**3 - 4 + o*u**4 - 10*u - 3*u - u = 0?
-1, -2/5, 1
Let w(l) = l**3 + 8*l**2 + l + 10. Let g be w(-8). Factor -9/5 + 6/5*m - 1/5*m**g.
-(m - 3)**2/5
Let j(n) be the first derivative of 2*n**7/35 + n**6/15 - n**5/15 - 4*n**2 + 9. Let w(h) be the second derivative of j(h). Factor w(p).
4*p**2*(p + 1)*(3*p - 1)
Let r(h) be the third derivative of h**5/20 + h**4/12 - h**3/6 + 4*h**2. Let r(s) = 0. What is s?
-1, 1/3
Suppose -l**3 + 1/2*l**2 + 0*l + 1/2*l**4 + 0 = 0. What is l?
0, 1
Suppose 11*h - 13 - 20 = 0. Let c be 14/6*(-10)/(-21). Determine v so that 32/9*v - 50/9*v**h + 8/9 + c*v**2 = 0.
-2/5, 1
Let n(a) be the first derivative of a**4 - 8*a - 16/3*a**3 + 4 + 10*a**2. Solve n(k) = 0 for k.
1, 2
Suppose -5 = -5*u, -u + 0 + 7 = -3*p. Let a(i) = 4*i**2 + 4*i. Let n(h) = -h**2 - h. Let w(t) = p*a(t) - 9*n(t). Factor w(l).
l*(l + 1)
Let l(n) be the third derivative of -n**8/672 - n**7/630 - n**4/6 + 2*n**2. Let w(s) be the second derivative of l(s). Factor w(b).
-2*b**2*(5*b + 2)
Let n be 3/(((-45)/(-12))/(-5)). Let p be n/(-10) - (-6)/(-15). Determine k so that 2*k - 4*k + 2*k**3 + p*k = 0.
-1, 0, 1
Let p(w) be the second derivative of w**5/240 + w**4/96 + 3*w**2/2 + 2*w. Let d(r) be the first derivative of p(r). Determine y, given that d(y) = 0.
-1, 0
Let k(c) be the second derivative of c**4/48 + 6*c. Factor k(x).
x**2/4
Factor -21*y**3 - 12*y - 69*y**2 - 70*y**2 + 187*y**2.
-3*y*(y - 2)*(7*y - 2)
Let y(t) = -10*t**3 + 11*t**2 + 10*t. Let g(c) be the first der