2, 2, 8
Suppose 3*o - 2*d + 0*d = -21, d = 4*o + 28. Let a(m) = 7*m**2 - 11*m + 4. Let p(v) = -13*v**2 + 23*v - 7. Let n(k) = o*a(k) - 4*p(k). Solve n(t) = 0 for t.
0, 5
Let x(h) = -3*h - 51. Let t be x(-19). Let f be (-7)/(-8)*t/21. Find y such that -f*y**2 - 1/4 - 1/2*y = 0.
-1
Let k(l) = -l**2 - 11*l - 18. Let t be k(-9). What is h in t + 2/5*h**4 + 3/5*h**5 + 0*h**2 - 1/5*h**3 + 0*h = 0?
-1, 0, 1/3
Let m(i) be the first derivative of -i**6 - 10*i**5/3 - 2*i**4 + 8*i**3/9 - 20. Let m(j) = 0. Calculate j.
-2, -1, 0, 2/9
Find r such that -12*r**2 + 0 - 9/4*r**3 - 16*r - 1/8*r**4 = 0.
-8, -2, 0
Let c = -34 - -37. Factor -y**2 + 58*y**3 + y**2 - y**4 - 57*y**c.
-y**3*(y - 1)
Suppose 2*n + 28 = -y, -y - 6 = 3*n + 22. Let f be (-8)/(-6)*(-7)/y. Solve -a - a**2 - 1/3 - f*a**3 = 0.
-1
Let v(q) be the first derivative of -q**4/5 + 8*q**3/15 + 6*q**2/5 + 247. Factor v(t).
-4*t*(t - 3)*(t + 1)/5
Find y such that -8/7*y**3 + 8*y**2 + 12/7*y - 4/7*y**5 - 36/7 - 20/7*y**4 = 0.
-3, -1, 1
Let r(z) = -z**4 - z**3 + z**2 + 2*z. Let o(i) = -i**4 - 13*i**3 + 25*i**2 + 34*i. Let s(m) = -o(m) - 3*r(m). Factor s(v).
4*v*(v - 2)*(v + 1)*(v + 5)
Let a(z) = -z**2 - 1691*z + 10184. Let m be a(6). Let s = -2/127 + 137/635. Factor -1/5 + 1/5*d - 1/5*d**3 + s*d**m.
-(d - 1)**2*(d + 1)/5
Let n = 2520 + -2515. Let l(d) be the second derivative of 5*d + 1/30*d**n + 0 - 1/9*d**3 - 1/18*d**4 + 1/45*d**6 + 0*d**2. Suppose l(p) = 0. Calculate p.
-1, 0, 1
Suppose -52 = -3*d - 28. Let j(o) be the third derivative of 0*o**3 - d*o**2 + 1/300*o**6 + 0 + 1/150*o**5 + 0*o**4 + 0*o. Factor j(z).
2*z**2*(z + 1)/5
Let o = -9841/7 - -1406. Let c = -39 - -39. Factor 1/7*y**4 + 2/7*y**3 + c*y**2 + 0*y - o*y**5 + 0.
-y**3*(y - 2)*(y + 1)/7
Let x(f) = -2*f**2 - 230*f - 5688. Let n be x(-36). Solve 2/5*u**5 + 4/5*u**2 - 2/5*u - 4/5*u**4 + n + 0*u**3 = 0.
-1, 0, 1
Let d(s) be the first derivative of 5*s**9/3024 + s**8/112 - s**6/18 - 34*s**3/3 - s**2/2 - 15. Let b(y) be the third derivative of d(y). Factor b(f).
5*f**2*(f - 1)*(f + 2)**2
Let u(y) be the first derivative of -4 - 5/6*y**3 - 1/10*y**5 + 0*y - 1/2*y**2 - 1/2*y**4. Factor u(a).
-a*(a + 1)**2*(a + 2)/2
Let n(x) be the second derivative of x**8/1176 + x**7/245 + x**6/140 + x**5/210 - 13*x**2/2 + 11*x. Let i(q) be the first derivative of n(q). Factor i(k).
2*k**2*(k + 1)**3/7
Let i(k) be the second derivative of k**4/3 - 4*k**3/3 + 2*k**2 - 5*k + 4. Suppose i(f) = 0. What is f?
1
Let y(d) = -d**3 + 14*d**2 + 1. Let b be y(14). Let o(w) be the first derivative of 7/4*w**4 + 18*w**2 - b - 8*w - 10*w**3. Determine s, given that o(s) = 0.
2/7, 2
Let x(p) be the third derivative of -p**8/3192 + 4*p**7/1995 - p**6/380 - 166*p**2. Factor x(s).
-2*s**3*(s - 3)*(s - 1)/19
Let d(f) be the second derivative of -11*f + 2*f**4 + 2*f**2 + 2/15*f**6 - 8/3*f**3 + 0 - 4/5*f**5. Solve d(s) = 0.
1
Let h = -784 + 14113/18. Let i(c) be the first derivative of 0*c - 9 - h*c**4 + 2/9*c**2 + 2/27*c**3. Find d such that i(d) = 0.
-1, 0, 2
Let w = 3/253 + 73/15180. Let v(r) be the third derivative of -w*r**5 - 1/60*r**6 + 0 + 0*r**4 + 0*r**3 + 4*r**2 - 1/210*r**7 + 0*r. Factor v(s).
-s**2*(s + 1)**2
Let q(t) = 5*t**4 + 50*t**3 + 118*t**2 + 70*t - 3. Let b(z) = -z**2 + 1. Let a(f) = -3*b(f) - q(f). What is s in a(s) = 0?
-7, -2, -1, 0
Let o(h) be the third derivative of 0 - 2*h - 2/3*h**3 - 4*h**2 - 7/15*h**4 + 1/25*h**5. Let o(p) = 0. Calculate p.
-1/3, 5
Let v(j) be the second derivative of j**6/15 - 6*j**5/35 + j**4/14 + 2*j**3/21 - 22*j - 3. Factor v(u).
2*u*(u - 1)**2*(7*u + 2)/7
Let k(t) be the first derivative of -6*t**5/65 + 14*t**4/13 - 36*t**3/13 - 60*t**2/13 + 50*t/13 + 478. Suppose k(u) = 0. Calculate u.
-1, 1/3, 5
Solve 3/5*z**4 + 0*z**2 + 0*z + 0 + 36/5*z**3 = 0 for z.
-12, 0
Let r(n) be the third derivative of n**9/12096 + n**8/2016 - n**7/336 - 11*n**5/30 + 25*n**2. Let u(j) be the third derivative of r(j). Factor u(p).
5*p*(p - 1)*(p + 3)
Let p = -16 - -40. Let d be (p/(-126))/(20/(-15)). Determine t so that -2/7 + 3/7*t - d*t**2 = 0.
1, 2
Let w be 1 + 1/(-2) - (-8685)/3474. Factor 3/4*a**2 - 1/4*a + 1/4*a**4 + 0 - 3/4*a**w.
a*(a - 1)**3/4
Factor 228 + 66 + 2*z**2 - 250*z + 228 - 30.
2*(z - 123)*(z - 2)
Let h = 144 - 113. Suppose -23 = 4*n - h. Solve 0 - 4/7*w**n - 2/7*w = 0 for w.
-1/2, 0
Suppose 4*h - 3*h - 2*o + 8 = 0, 4*h - 12 = -3*o. Let z be (h + 2 + (-40)/16)/(-1). Factor 1/2*v**2 + z*v + 0.
v*(v + 1)/2
Suppose 0 = 7*n + 33 - 47. Factor 0*v**n + v - 1/3*v**3 - 2/3.
-(v - 1)**2*(v + 2)/3
Let 42*s - 2*s**3 + 9*s**2 + 2*s**2 - 9*s**2 - 90 + 0*s**2 = 0. Calculate s.
-5, 3
Let 17*h**2 + 6 + 5*h**3 - 1/3*h**4 + 53/3*h = 0. Calculate h.
-1, 18
Suppose f - l - 4 = 2*l, 40 = 3*f + 5*l. Factor -70*j**3 + 24*j + 2*j + 8*j - 55*j**2 + f - 9*j.
-5*(j + 1)*(2*j - 1)*(7*j + 2)
Let w(j) = -4*j - 36. Let g be w(-10). Let y(q) be the second derivative of 3/20*q**5 + 0 + g*q - 1/2*q**3 + 1/2*q**4 - 3*q**2. Determine v so that y(v) = 0.
-2, -1, 1
Let d(x) = -5*x**2 - 65*x - 60. Let j(s) = 10*s**2 + 130*s + 120. Let f(b) = -5*d(b) - 2*j(b). Solve f(y) = 0 for y.
-12, -1
Let w(h) be the second derivative of -h**5/80 + 31*h**4/48 + 155*h. Factor w(y).
-y**2*(y - 31)/4
Let t be (-2)/3*3/(-4). Let u = -1/16 + 9/16. What is w in 1/2 + u*w - t*w**3 - 1/2*w**2 = 0?
-1, 1
Let y(v) = v**3 + v**2 - 2*v + 63. Let j be y(0). Let k be j/(-99) - (-2)/2. Solve 2/11*c + k*c**2 + 0 + 2/11*c**3 = 0 for c.
-1, 0
Find u, given that -12/7*u + 0 + 0*u**2 + 3/7*u**3 = 0.
-2, 0, 2
Factor 19/4 - 4*m - 3/4*m**2.
-(m - 1)*(3*m + 19)/4
Factor 114 + 80*l**3 + 13*l - 163*l + 5*l**4 - 228 + 65*l**2 + 114.
5*l*(l - 1)*(l + 2)*(l + 15)
Suppose -39*g**2 + 2966*g**4 - 36*g - 18*g**3 - 5935*g**4 - 12 + 2966*g**4 = 0. What is g?
-2, -1
Let v(o) be the second derivative of -o**4/84 - 5*o**3/21 + 11*o**2/14 + 24*o - 2. Factor v(t).
-(t - 1)*(t + 11)/7
Let f(l) = l**2 - 13*l + 14. Let o be (1 - -1)/(13/78). Let w be f(o). Factor -3*d**3 - d**w + d**2 + 0*d**2 - 2*d**2 - d**4.
-d**2*(d + 1)*(d + 2)
Let n(z) be the first derivative of z**4/22 + 134*z**3/33 + 105*z**2 + 198*z - 333. Factor n(m).
2*(m + 1)*(m + 33)**2/11
Factor 0*d**2 + 10/17*d**5 + 0*d - 2/17*d**4 + 0 - 8/17*d**3.
2*d**3*(d - 1)*(5*d + 4)/17
Let f(b) be the first derivative of -b**6/24 - b**5/10 - b**4/16 - 867. Find i, given that f(i) = 0.
-1, 0
Let s be ((-3)/6*12)/(6/(-4)). Suppose s*a + 5*n = 18, -a - 5*n + 20 = 8. Factor 0*o + 2/5*o**a + 0 + 3/5*o**3 + 1/5*o**4.
o**2*(o + 1)*(o + 2)/5
Suppose -d = 4*h + 13, 2*d - d + h = -1. Suppose 2*g**d - 5*g**3 - 25*g**2 + g - 17*g**3 - 11*g - 5*g**4 = 0. What is g?
-2, -1, 0
Let r(k) be the first derivative of -k**3 + 15/8*k**4 - 6/5*k**5 + 0*k**2 + 15 + 1/4*k**6 + 0*k. What is w in r(w) = 0?
0, 1, 2
Let u(y) be the first derivative of 3/28*y**4 + 16 - 3/7*y**2 + 1/7*y**3 + 0*y. Factor u(k).
3*k*(k - 1)*(k + 2)/7
Let m be ((-3 - -1) + 3)*(-76)/(-190). Let s(w) = -w**2 + 4*w - 1. Let i be s(3). Factor 0 + 1/5*h**i - m*h.
h*(h - 2)/5
Let n(c) be the first derivative of -3/5*c**2 - 8/5*c - 42 + 2/15*c**3. Factor n(b).
2*(b - 4)*(b + 1)/5
Let j(l) = -2*l**4 - 5*l**3 - 3*l**2 - 3*l - 3. Let f(u) = -5*u**4 - 12*u**3 - 7*u**2 - 7*u - 7. Let t(c) = -3*f(c) + 7*j(c). Factor t(h).
h**3*(h + 1)
Let v(p) = -3*p + 5*p + 4*p - 10*p**2. Let l(b) = 6*b**2 - 6*b**2 - b**2 + 6*b - 8*b**2. Let w(x) = -4*l(x) + 5*v(x). Let w(r) = 0. Calculate r.
0, 3/7
Let d be (4/3)/(1/(-2) - (-315)/378). Determine k so that 6/7*k - 24/7*k**d + 27/7*k**2 - 6/7*k**3 - 3/7 = 0.
-1, -1/2, 1/4, 1
Factor 480*k - 2/5*k**4 - 208*k**2 + 86/5*k**3 + 0.
-2*k*(k - 20)**2*(k - 3)/5
Suppose 4*f + 0*d - 55 = -d, d = -5. Let w be -1*12/f*(-9)/12. Suppose 2/5*g + 3/5*g**2 + 0 + g**5 - 7/5*g**3 - w*g**4 = 0. What is g?
-1, -2/5, 0, 1
Let v(p) be the second derivative of 1/21*p**4 + 4/21*p**3 + 2/7*p**2 + 0 + 31*p. Determine l so that v(l) = 0.
-1
Let w(g) be the second derivative of -g**7/630 - g**6/180 + 9*g**4/4 - 2*g. Let j(l) be the third derivative of w(l). Suppose j(s) = 0. Calculate s.
-1, 0
Let m(q) = q - 3*q**2 + 5*q**2 - q**3 + 7*q**2 - 6. Let w be m(9). Find u, given that -3/2*u - 3/2*u**5 + 3*u**2 - 3/2 + 3*u**w - 3/2*u**4 = 0.
-1, 1
Let o(p) = 2*p**2 + p. Let w be o(-2). Suppose -3*k + w = -6. Factor 0*t - 6 - t - 14*t - k*t