
0, 1, 2
Suppose -3*g + 4 = 2*p - 3*p, -4*g = 4. Let a = p - -11. Let -f**3 + 4*f**3 - a*f**2 + f**2 = 0. What is f?
0, 1
Let o(i) = -2*i + 7. Let p be o(2). Factor 8*w + p*w**2 - 5*w - 3 - 3.
3*(w - 1)*(w + 2)
Let p(m) be the second derivative of m**6/360 + m**5/120 + 5*m**3/6 - 3*m. Let d(a) be the second derivative of p(a). Factor d(o).
o*(o + 1)
Let m(a) be the first derivative of -a**5/100 + 3*a**4/40 - a**3/5 + 7*a**2/2 + 9. Let u(h) be the second derivative of m(h). Factor u(f).
-3*(f - 2)*(f - 1)/5
Let i(d) be the first derivative of d**5/30 - d**4/3 + d**3 - 8*d - 5. Let r(z) be the first derivative of i(z). Factor r(u).
2*u*(u - 3)**2/3
Let k(b) be the second derivative of 0*b**2 - 13*b - 1/4*b**5 - 25/12*b**4 + 0 - 10/3*b**3. Factor k(c).
-5*c*(c + 1)*(c + 4)
Let n(o) be the third derivative of -o**6/24 - 7*o**5/12 - 10*o**4/3 - 10*o**3 - 18*o**2 + 2. Let n(a) = 0. What is a?
-3, -2
Determine u so that 0*u + 0*u**2 - 3/8*u**4 + 1/8*u**5 + 0*u**3 + 0 = 0.
0, 3
Let i(w) = 2*w - 4. Let y be i(3). Suppose 0 = -4*r + 8. Factor -3 - 2*m**y + 5 + 0*m**r.
-2*(m - 1)*(m + 1)
Let p(t) be the second derivative of -t**6/6 + 3*t**5 - 75*t**4/4 + 145*t**3/3 - 60*t**2 - 2*t - 290. Solve p(r) = 0.
1, 4, 6
Let w = -50311 - -452801/9. Solve 2/9*q**2 - w - 2/9*q + 2/9*q**3 = 0.
-1, 1
Let u be -25 + 22 - 43*5. Let h = 220 + u. What is y in y + 1/2 - 3/2*y**h = 0?
-1/3, 1
Factor -5/7*c + 6/7 - 4/7*c**2.
-(c + 2)*(4*c - 3)/7
Factor -k**3 - k**3 + k**3 - 26 + 42*k - 34*k**2 + 10*k**2 + 9*k.
-(k - 1)**2*(k + 26)
Suppose 122 + 634 = 3*b. Suppose 250*m - b*m + 4 = 0. Factor 2/3*i**4 + 4/3 - 2/3*i + 2/3*i**3 - 2*i**m.
2*(i - 1)**2*(i + 1)*(i + 2)/3
Suppose a - 2*h + 17 = -40, -5*a = h + 340. Let v be a/(-12) + (-5)/20. Suppose -4/3*i**2 + v*i - 4 = 0. What is i?
1, 3
Suppose m - 7 - 35 = 0. Let x be 4 - 4 - -1 - (-114)/m. Determine r, given that x*r**4 + 0 - 8*r**5 + 26/7*r**3 + 4/7*r**2 + 0*r = 0.
-2/7, -1/4, 0, 1
Factor -328*m + 1212 + m**2 + 14164 + 80*m.
(m - 124)**2
Let u = 77 + -180. Let z = -98 - u. Factor 4/5*n**3 - 4/5*n**z + 0*n**2 + 0*n + 0 + 0*n**4.
-4*n**3*(n - 1)*(n + 1)/5
Suppose 0 = -32*l + 89 + 39. Let q(y) be the first derivative of -5*y**3 - 12*y - l + 3/4*y**4 + 12*y**2. Let q(k) = 0. Calculate k.
1, 2
Let i = 49 + -45. Factor -42*j**3 - 4*j**i + 50*j**3 + 16*j - j**2 + 29*j**2.
-4*j*(j - 4)*(j + 1)**2
Find u such that 134*u**3 - 6026*u**2 + 692*u**2 - 11*u**3 + 1408*u + 24*u**3 + 107*u - 108 = 0.
1/7, 36
Let i(f) be the first derivative of -2*f**3/3 + f**2 - 24. Find l, given that i(l) = 0.
0, 1
Solve -12*o**5 - 16*o**2 + 83*o**4 + 0*o**3 + 4*o**3 + 8*o**5 - 67*o**4 = 0.
-1, 0, 1, 4
Let i(a) = -2*a**2 + 23*a + 54. Let s(z) = -2*z**2 + 24*z + 56. Let d(k) = -4*i(k) + 5*s(k). Solve d(q) = 0.
-2, 16
Let t = 10 + 4. Let q = -11 + t. Let o(s) = s**5 - s**4 - s**2 - 1. Let j(y) = 2*y**5 - 3*y**4 + y**2 - y - 1. Let a(p) = q*o(p) - 3*j(p). Factor a(u).
-3*u*(u - 1)**3*(u + 1)
Let p(c) be the third derivative of -c**5/3 + 3*c**4/2 + 4*c**3/3 + 2*c**2 + 51. Solve p(g) = 0 for g.
-1/5, 2
Let g(t) be the third derivative of t**8/84 - 2*t**7/105 - 2*t**6/15 + 4*t**5/15 + 35*t**2 + 2*t. Let g(z) = 0. What is z?
-2, 0, 1, 2
Let r(l) be the second derivative of l**7/1470 + l**6/140 + 3*l**5/140 - 7*l**2 - 17*l. Let s(i) be the first derivative of r(i). Factor s(w).
w**2*(w + 3)**2/7
What is m in -2*m**2 - 14*m**5 + 0 + 12/11*m - 146/11*m**3 + 310/11*m**4 = 0?
-3/11, 0, 2/7, 1
Factor 0*o**2 - o**4 + 0*o + 0 + 1/2*o**3 + 1/2*o**5.
o**3*(o - 1)**2/2
Let -3/7*g**5 + 0*g**4 - 48/7 + 39/7*g**3 + 48/7*g**2 - 36/7*g = 0. Calculate g.
-2, -1, 1, 4
Let s(l) be the third derivative of -2*l**6/45 - 2*l**5/15 - l**4/6 - l**3/9 - 54*l**2 - 2*l. Factor s(h).
-2*(2*h + 1)**3/3
Let f = 11 + -7. Let y be (-2 - 32/(-20)) + 122/5. Find t such that f + 8 + 4*t**2 - 24*t + y = 0.
3
Suppose -13 = 2*y + 3*y - w, 3*w = -6. Let i be 36/(-10) - ((-4 - y) + -3). Factor -i*c - 1/5*c**2 - 1/5.
-(c + 1)**2/5
Let m be (-5)/(-15) + 1/48*-14. Let a(p) be the third derivative of 3*p**2 + m*p**4 + 0*p - 1/9*p**3 - 1/180*p**5 + 0. Let a(v) = 0. What is v?
1, 2
Let a(h) = h**3 - 8*h**2 + 7*h + 4. Let q be a(7). Let p(d) be the second derivative of 2/5*d**5 + 0*d**q - d**2 + 0 + 4*d - d**3. Factor p(m).
2*(m - 1)*(2*m + 1)**2
Let s(w) be the second derivative of w**7/840 - w**6/48 - 3*w**5/20 - 2*w**4 - 24*w. Let k(z) be the third derivative of s(z). Solve k(i) = 0.
-1, 6
Find j such that 184/3 - 4/3*j**2 - 28*j = 0.
-23, 2
Suppose 51/2 + 3/4*h**2 + 105/4*h = 0. What is h?
-34, -1
Let l(j) be the second derivative of j**4/24 - j**3/12 - 3*j**2 - 2*j + 10. Find x, given that l(x) = 0.
-3, 4
Let z(b) = -2 + b - 3*b + 4*b - 3*b**2 + 2*b**2. Let v(x) = 2 + 0 + 3*x**2 + 4 - 4*x - 1. Let q(j) = 6*v(j) + 15*z(j). Let q(o) = 0. What is o?
-2, 0
Let m(j) be the second derivative of -j**7/98 - 3*j**6/35 + 9*j**5/140 + 5*j**4/7 + 6*j**3/7 - j + 14. What is h in m(h) = 0?
-6, -1, 0, 2
Let k(y) = -2*y**3 + 8*y**2 - 12*y + 9. Let x be k(4). Let l be ((-3)/4)/(x/12 + 3). Suppose -2/7*h**2 - 4/7*h**l + 0 + 4/7*h + 2/7*h**4 = 0. What is h?
-1, 0, 1, 2
Let k be ((-10)/4 + 3)*0*(-7)/(-63). Suppose 12/5*l**2 - 4/5*l + k + 9/5*l**5 - l**3 - 12/5*l**4 = 0. What is l?
-1, 0, 2/3, 1
Let g(h) be the third derivative of -h**5/45 + 2*h**4/9 - 2*h**3/3 - 17*h**2 + 2*h. Determine m so that g(m) = 0.
1, 3
Suppose 68 = 5*k + 12*k. Let y(b) be the first derivative of -16*b + 4*b**2 + 4/3*b**3 - 1/2*b**k - 6. Factor y(a).
-2*(a - 2)**2*(a + 2)
Let r(f) be the second derivative of -f**6/10 - 297*f**5/20 - 2499*f**4/4 - 2401*f**3/2 - 5*f - 27. Let r(t) = 0. What is t?
-49, -1, 0
Let t(o) be the third derivative of -o**7/70 - o**6/8 - 7*o**5/20 - 3*o**4/8 + 8*o**2 + 10. Solve t(b) = 0.
-3, -1, 0
Let v(d) be the first derivative of -2*d**3/15 - 33*d**2/5 + 28*d - 501. Factor v(u).
-2*(u - 2)*(u + 35)/5
Let z(d) be the first derivative of d**6/8 + 3*d**5/4 + 9*d**4/8 - 138. Factor z(w).
3*w**3*(w + 2)*(w + 3)/4
Let r(l) be the first derivative of l**6/4 - 9*l**4/2 - l**3 + 81*l**2/4 + 27*l + 24. Find s, given that r(s) = 0.
-3, -1, 2, 3
Let g(w) be the third derivative of -w**6/420 - 13*w**5/210 + w**4/6 + 154*w**2. Determine u so that g(u) = 0.
-14, 0, 1
Let n(a) be the third derivative of -a**5/60 - 25*a**4/12 + 17*a**3/2 + 617*a**2. Factor n(z).
-(z - 1)*(z + 51)
Let r(d) be the third derivative of 25*d**8/112 + 41*d**7/42 + d**6 + d**5/3 + d**2. Suppose r(t) = 0. Calculate t.
-2, -2/5, -1/3, 0
Let x(a) be the second derivative of 5/12*a**4 + 9*a - 55/2*a**2 - 25/3*a**3 + 0. Suppose x(v) = 0. What is v?
-1, 11
Suppose -3*u + 60 = 3*u. Suppose -6*o**5 + o**5 - 3*o**2 + 13*o - 48*o + 40*o**3 - u*o**4 - 7*o**2 + 20 = 0. Calculate o.
-4, -1, 1
Let y(f) be the third derivative of f**7/105 + 11*f**6/240 + f**5/24 - f**4/24 + 18*f**2 + 1. Factor y(a).
a*(a + 1)*(a + 2)*(4*a - 1)/2
Suppose 5*g = g - 4. Let s(t) be the third derivative of t**5/60 + t**4/4 + t**3/6 - 35*t**2 + t. Let x(o) = -o - 1. Let u(m) = g*s(m) - 4*x(m). Factor u(r).
-(r - 1)*(r + 3)
Let g(i) = 2*i - 13. Let q be g(11). Suppose -7*s = -10*s + q. Let 0*f - f**s + 0 - 3/2*f**4 + 0*f**2 + 5/2*f**5 = 0. What is f?
-2/5, 0, 1
Let k be 9 - 4 - 3/3. Suppose 3*d = -k*l - 14, -4*d - 2*l - l = 7. Factor -4/15 + 2/15*u**d + 2/15*u.
2*(u - 1)*(u + 2)/15
Factor 16/3 - 1/3*s**3 + 6*s**2 - 11*s.
-(s - 16)*(s - 1)**2/3
Factor 48/7*d + 18/7*d**2 + 32/7 + 2/7*d**3.
2*(d + 1)*(d + 4)**2/7
Let a(s) be the first derivative of 19*s**3 - 21/4*s**4 - 12*s - 12*s**2 + 8. Let a(r) = 0. What is r?
-2/7, 1, 2
Let -116 + 40 - 3*f + 15*f**4 + 38 - 81*f**3 + 63*f**2 + 15*f**4 + 29 = 0. Calculate f.
-3/10, 1
Let f(c) be the third derivative of 0 + 5/336*c**8 + 1/42*c**7 + 5/12*c**4 + 28*c**2 + 0*c**3 - 1/8*c**6 + 0*c - 1/12*c**5. Factor f(y).
5*y*(y - 1)**2*(y + 1)*(y + 2)
Let l(k) be the second derivative of k**7/42 - 13*k**6/30 - 9*k**5/20 + 135*k**4/4 + 10*k. Let l(f) = 0. Calculate f.
-5, 0, 9
Let s(c) be the third derivative of c**7/70 - c**5/5 - 67*c**2. Solve s(j) = 0.
-2, 0, 2
Factor 10*t + 8/3*t**2 + 100/9 + 2/9*t**3.
2*(t + 2)*(t + 5)**2/9
Let f(l) be the third derivative of 1/110*l**5 + 1/2310*l**7 + 0 + 1/66*l**3 + 0*l + 6*l**2 - 1/330*l**6 - 1/66*l**4. Determine r, given that f