 f?
-1, 0
Factor 0 - 21/4*i**2 + 15/4*i**3 + 3/2*i.
3*i*(i - 1)*(5*i - 2)/4
Let k(z) = -2*z**3 - 5*z**2 + 2*z + 5. Let j(g) = -g**2 + 2*g**2 - 22 + 21. Let i(v) = -5*j(v) - k(v). Determine p so that i(p) = 0.
-1, 0, 1
Let w = -24 + 10. Let f = -122/9 - w. Factor 2/9*m**2 + 2/9 + f*m.
2*(m + 1)**2/9
Let w be 8/(-2)*(-1)/(-2). Let q be -2 + (w - -5) - -5. Factor -3*d**2 - 3 + 0 + q.
-3*(d - 1)*(d + 1)
Let a(w) = -4*w**4 - 34*w**3 + 2*w**2 + 32*w - 2. Let o(q) = q**3 + q**2 + 1. Let v(p) = -a(p) - 2*o(p). Solve v(b) = 0 for b.
-8, -1, 0, 1
Suppose -4*d = 8 - 28. Let i be (-2)/(-15) + d/25. Factor -1/3*r**2 + 1/3*r**3 - i*r**5 + 0 + 1/3*r**4 + 0*r.
-r**2*(r - 1)**2*(r + 1)/3
Let w(a) be the second derivative of 1/30*a**5 + 7*a - 2/9*a**3 + 0 - 1/9*a**4 + 1/63*a**7 - 1/6*a**2 + 1/18*a**6. Factor w(u).
(u - 1)*(u + 1)**3*(2*u + 1)/3
Suppose 2*f + 1 = -3. Let u(s) = s**2. Let l be u(f). Factor -l*n - n**2 + 2*n + 2*n.
-n**2
Let s = 99 + -493/5. Determine v so that -3/5*v - 1/5*v**4 + 3/5*v**3 - 1/5*v**2 + s = 0.
-1, 1, 2
Let i(u) be the third derivative of -u**6/360 + u**5/36 - 7*u**4/72 + u**3/6 - 2*u**2. Factor i(a).
-(a - 3)*(a - 1)**2/3
Suppose -2*k + 6*k = 5*y - 25, -3*y + 15 = 0. Let 0*i**2 + 1/4*i**3 + 0*i + 0 + k*i**4 - 1/4*i**5 = 0. What is i?
-1, 0, 1
Let q(c) = c**3 - 4*c**2 - 20*c + 50. Let p be q(6). Suppose -18/7*t**2 + 8/7 - 24/7*t + p*t**3 = 0. What is t?
-1, 2/7, 2
Let -14*x**2 + 2 - x + 7*x**2 + 5*x + 9*x**2 = 0. What is x?
-1
Let f(b) = -b - 3. Let a be f(0). Let m be 2/(3 - -1 - a). Factor -m*j - 6/7*j**3 + 0 + 6/7*j**2 + 2/7*j**4.
2*j*(j - 1)**3/7
Let k be (-2)/(-12) + 204/153. Let -k*q**3 + 3/2*q**2 - 3/4*q**4 - 3/4 + 3/4*q**5 + 3/4*q = 0. Calculate q.
-1, 1
Let m(g) = g**2 + 7*g + 12. Let k be m(-5). Factor 1/2*b - 1/2*b**k + 0.
-b*(b - 1)/2
Let m(h) be the first derivative of h**4 + 7*h**3/3 + h**2 - h - 20. Let m(z) = 0. What is z?
-1, 1/4
Let s(y) be the first derivative of 2*y**6/21 - 2*y**5/7 + y**4/7 + 8*y**3/21 - 4*y**2/7 + 2*y/7 + 17. Solve s(a) = 0.
-1, 1/2, 1
Let b = 14 + -12. Suppose r = -k + 3 - b, 0 = -r - 2*k. Factor -2/7*p**r - 2/7 - 4/7*p.
-2*(p + 1)**2/7
Let s(y) be the first derivative of -y**8/2240 - y**7/1120 + y**6/480 + y**5/160 - 2*y**3/3 - 3. Let m(g) be the third derivative of s(g). Factor m(i).
-3*i*(i - 1)*(i + 1)**2/4
Factor 3/2*w**2 + 3/4*w**3 + 3/4*w + 0.
3*w*(w + 1)**2/4
Suppose 9*i - 21 = -3*l + 4*i, -2*l = -i - 1. Factor 0 - 2/7*y - 2/7*y**l.
-2*y*(y + 1)/7
Suppose 2*o - 5*l - 79 = -0*o, -l + 130 = 5*o. Let r be 2/(-4) - o/(-6). Suppose v**4 + 0*v**r - 2*v**2 + v**4 = 0. What is v?
-1, 0, 1
Suppose -3*d - 2*b + 11 = 0, -2 - 12 = -5*d + b. Let m be d/2*(-5)/(-15). Suppose -i + m + 1/2*i**2 = 0. Calculate i.
1
Let n(o) be the second derivative of -o**8/168 - 2*o**7/105 - 2*o**2 - 3*o. Let z(g) be the first derivative of n(g). Find t, given that z(t) = 0.
-2, 0
Let w = 22 + -22. Let l(t) be the second derivative of w*t**2 + 1/36*t**4 + 0*t**3 + 2*t + 0. Find z such that l(z) = 0.
0
Let f = 2/13 - -31/52. Determine r, given that -3/4*r**3 - 3/4 + f*r**2 + 3/4*r = 0.
-1, 1
Let u = 12/215 + 25537/860. Let x = 30 - u. Factor 1/4*b**5 - x*b**3 - 1/4*b**4 + 1/4*b**2 + 0 + 0*b.
b**2*(b - 1)**2*(b + 1)/4
Let y(p) be the first derivative of 2/21*p**6 - 1/7*p**4 + 0*p - 4/21*p**3 + 0*p**2 + 7 + 4/35*p**5. Let y(x) = 0. What is x?
-1, 0, 1
Suppose 4*x + 2*m = 1 + 3, 5*x = 2*m + 23. Let c be -1*(3 + -4) + 1. Let 0*g**c - 2/9*g**x + 2/9*g + 0 = 0. Calculate g.
-1, 0, 1
Let v(o) = 2*o - 2. Let n be v(2). Find d such that 2*d**2 + n*d**3 - d**2 + d**2 = 0.
-1, 0
Let z(n) be the second derivative of n**7/189 - n**6/27 + n**5/9 - 5*n**4/27 + 5*n**3/27 - n**2/9 + 7*n. Factor z(j).
2*(j - 1)**5/9
Let r(t) be the second derivative of t**4/4 + 7*t. Determine l, given that r(l) = 0.
0
Let f(n) be the first derivative of -2*n**3/3 + n**2 + 3. What is j in f(j) = 0?
0, 1
Let l = 2 + 0. Suppose 2*i = -5 - 3, -4*j - l*i = 0. Suppose 8*h**2 - 6*h - 2*h**2 + 0*h**j - 2*h**3 + 2 = 0. Calculate h.
1
Let q be (-105)/(-9) - 1/(-3). Factor -1 + 9*t**2 - 6*t + 3*t**3 + t**3 - 2 - q*t**4 + 8*t**3.
-3*(t - 1)**2*(2*t + 1)**2
Suppose 3*b - 16 = -5*n, -4*b + 2*n + 0 = -4. What is p in -22 - 3*p**4 + 0*p**b + 6*p**2 + 19 = 0?
-1, 1
Let u(n) be the third derivative of -6*n**2 + 1/360*n**6 + 0*n + 0*n**4 + 0*n**3 + 1/180*n**5 + 0. Factor u(a).
a**2*(a + 1)/3
Let o(f) be the first derivative of -f**9/3024 + f**8/1008 - f**7/2520 - f**6/1080 - f**3 - 1. Let u(d) be the third derivative of o(d). Factor u(j).
-j**2*(j - 1)**2*(3*j + 1)/3
Factor -4/5*x**2 - 16/5*x + 4.
-4*(x - 1)*(x + 5)/5
Factor -12/7 - 2/7*f**2 + 2*f.
-2*(f - 6)*(f - 1)/7
Let o(f) = -2*f**3 - 12*f**2 + 45*f + 135. Let y(m) = 25*m**3 + 145*m**2 - 540*m - 1620. Let h(r) = -35*o(r) - 3*y(r). Factor h(p).
-5*(p - 3)*(p + 3)**2
Let x = -3 + 3. Suppose -p - 4*p = x. Find r such that 0*r + 0 - 2/3*r**3 + 2/3*r**4 + p*r**2 = 0.
0, 1
Let t = -13 + 28. Suppose 0*k + 6 = -k + 2*y, -5*k - 5*y + t = 0. Factor 3/2*o**2 + k - 3/2*o.
3*o*(o - 1)/2
Let k(a) = 2*a**4 - 9*a**3 - 9*a**2 + 9*a. Let g(c) = c**4 - 3*c**3 - 3*c**2 + 3*c. Let h(q) = -7*g(q) + 2*k(q). Factor h(x).
-3*x*(x - 1)**2*(x + 1)
Let t(n) = n + 11. Let d be t(-8). Solve d*l**4 + l**2 + 3*l**3 - 4*l**2 + 0*l - 3*l = 0 for l.
-1, 0, 1
Let b(u) be the third derivative of -u**8/6720 - u**7/2520 + u**4/8 + u**2. Let r(w) be the second derivative of b(w). Factor r(l).
-l**2*(l + 1)
Let m(h) be the third derivative of h**5/150 + h**4/10 + 3*h**3/5 - 24*h**2. Suppose m(l) = 0. What is l?
-3
Let l be (-1 - (-3)/1) + -1. Suppose -2*z + l = -3. Solve 0*f**3 - 2*f + 0 + 2*f**3 - 2*f**z + 2 = 0.
-1, 1
Suppose -204 + 194 = -5*f. Let -278/3*r**3 + 190/3*r**4 + 194/3*r**f - 64/3*r - 50/3*r**5 + 8/3 = 0. What is r?
2/5, 1
Let p be -146 - (4/2 - 1). Let q be 210/p*4/(-10). Find x, given that 0*x + 0 - 2/7*x**4 + q*x**2 + 2/7*x**3 = 0.
-1, 0, 2
Let q(c) be the second derivative of -c**4/108 + c**3/54 + 16*c. Factor q(n).
-n*(n - 1)/9
Factor 4 + 7*c + 15*c**2 - 3*c**2 - 19*c + 0 - 4*c**3.
-4*(c - 1)**3
Let k = -37 + 36. Let b be -4 + 5 - -1 - k. Factor 2/3 - a**b + a - 2/3*a**2.
-(a - 1)*(a + 1)*(3*a + 2)/3
Let w(c) be the third derivative of 0*c**4 + 2*c**2 + 0*c + 0*c**7 + 0*c**5 + 0*c**6 + 0 + 0*c**3 - 1/504*c**8. Suppose w(j) = 0. Calculate j.
0
Let f(b) be the third derivative of b**5/15 - 3*b**4/8 + 5*b**3/6 - 10*b**2 + 3. Find c such that f(c) = 0.
1, 5/4
Let s(m) be the third derivative of -m**10/604800 - m**9/120960 + m**5/60 - 11*m**2. Let u(k) be the third derivative of s(k). Factor u(x).
-x**3*(x + 2)/4
Factor -4*s**3 + 5*s**5 - 3*s**5 + 6*s + 4 - 4*s**2 + 0*s**3 - 4*s**3.
2*(s - 2)*(s - 1)*(s + 1)**3
Let y be -2 + 3 + -1 + 0. Determine h, given that y*h + 0 + 2/3*h**3 + 2/3*h**2 = 0.
-1, 0
Let p(t) = -12*t**5 + 8*t**4 + 16*t**3 - 12*t**2 - 8*t + 4. Let m(d) = -d**5 + d**4 - d**2. Let q(h) = 4*m(h) - p(h). Suppose q(k) = 0. What is k?
-1, 1/2, 1
Factor m**2 + 5*m**2 - 6*m + 3 - m**2 - 2*m**2.
3*(m - 1)**2
Let x(j) be the third derivative of j**7/945 + j**6/90 + j**5/54 - 49*j**2. Factor x(k).
2*k**2*(k + 1)*(k + 5)/9
Let -d**2 + 0*d + 1/5*d**3 + 0 = 0. What is d?
0, 5
Suppose -85*t + 13 = 13. Factor t*a + 3/4*a**2 - 3/4.
3*(a - 1)*(a + 1)/4
Let y(h) be the second derivative of -h**6/45 - h**5/15 + h**4/18 + 2*h**3/9 - 3*h. What is g in y(g) = 0?
-2, -1, 0, 1
Let o be 23/(3/3) + 2. Suppose 8*j = -2*y + 3*j + o, -3*y + 3*j = 15. Factor y*n + n**2 + 0*n**2 - n.
n*(n - 1)
Let n = 88/5 - 87/5. Factor 0 - 1/5*x - n*x**3 + 2/5*x**2.
-x*(x - 1)**2/5
Let s(a) be the second derivative of a**8/1680 - a**6/200 + a**5/150 + 2*a**2 + 4*a. Let x(q) be the first derivative of s(q). Factor x(b).
b**2*(b - 1)**2*(b + 2)/5
Let r = -29 - -31. Factor -1/3*f**3 + 1/3 + 1/3*f - 1/3*f**r.
-(f - 1)*(f + 1)**2/3
Let n(m) = -m**2 - m + 9. Let r(s) = -1. Let z(i) = -4*n(i) - 36*r(i). Factor z(d).
4*d*(d + 1)
Let x = -23/7 + 129/35. Solve x*m - 2/5*m**2 + 4/5 = 0 for m.
-1, 2
Factor -10*i**3 + 15*i + 2*i**4 + 2*i**5 - 2*i - 13*i + 6*i**2.
2*i**2*(i - 1)**2*(i + 3)
Let l = 3 - -2. Determine j so that 5*j - l*j + 3*j**2 = 0.
0
Suppose 4*i - 3*i = 0. Suppose -2*n - 13 = -7*n + m, -3*n - m + 3 = i. Factor -2/3*y + 1/3*y**n + 0.
y*(y - 2)/3
Let j(i) = 9*i**4 + 2