se t*h - 2 = -z + 3, -4*z = -3*h - 20. What is k in 0*k + 3/2*k**5 - 3/2*k**4 + h + 3/2*k**2 - 3/2*k**3 = 0?
-1, 0, 1
Let 4/7*z**5 + 0*z + 16/7*z**4 + 8/7*z**2 + 0 + 20/7*z**3 = 0. What is z?
-2, -1, 0
Let f be (-1211)/(-303) + (3 + 1)*-1. Let b = f - -407/909. Factor -2/9 - 2/3*p + 2/3*p**4 - b*p**2 + 4/9*p**3 + 2/9*p**5.
2*(p - 1)*(p + 1)**4/9
Suppose b + b = -386. Let u = b - -1739/9. Determine h, given that -2/9*h**3 + 0*h + u*h**2 + 0 = 0.
0, 1
Let l(h) = -h**2 - 9*h - 2. Let x be l(-9). Let j be x/((-12)/27) + 1*-2. Factor j*b**3 - 1/2*b**5 - 2 + 1/2*b**4 - 1/2*b**2 - 4*b.
-(b - 2)**2*(b + 1)**3/2
Let l = 44 - 66. Let d = 23 + l. Factor 9*f**2 + 1 - 5*f - 2*f**2 - 4 + d.
(f - 1)*(7*f + 2)
Let v(b) be the first derivative of b**4/3 - 8*b**3/3 + 30*b - 40. Let i(h) be the first derivative of v(h). Suppose i(p) = 0. Calculate p.
0, 4
Let q(w) be the second derivative of 2*w**6/75 - 21*w**5/100 + 29*w**4/60 - w**3/5 + 73*w. Factor q(u).
u*(u - 3)*(u - 2)*(4*u - 1)/5
Let l(a) = -40*a**4 - 48*a**3 + 24*a**2 + 44*a + 4. Let n(d) = -d**4 - d**3 - d**2 - 1. Let v(q) = -l(q) + 4*n(q). Factor v(o).
4*(o - 1)*(o + 1)**2*(9*o + 2)
Let l(v) = -5*v**2 + 6*v + 159. Let g(w) = -4*w**2 + 4*w + 160. Let a(i) = 3*g(i) - 2*l(i). Find y such that a(y) = 0.
-9, 9
Let o be ((-8)/(-6))/((-8)/(-18)). Let l be 4/8 + (2 - o/(-2)). Factor 0*q - 6*q**l - 3*q**3 + 0 - 9/4*q**5 + 0*q**2.
-3*q**3*(q + 2)*(3*q + 2)/4
Find c such that -1/2*c + 0 + c**2 - 1/2*c**3 = 0.
0, 1
Let a be ((-4)/(-126))/(-18 - 654/(-36)). Suppose -10/21*j**3 + 10/21*j - 2/7*j**4 + a + 2/21*j**2 = 0. Calculate j.
-1, -2/3, 1
Let j(i) be the third derivative of 5*i**8/336 + i**7/70 - i**6/10 + i**5/15 - 75*i**2. Factor j(q).
q**2*(q - 1)*(q + 2)*(5*q - 2)
Suppose -8*i - 60 = -23*i. Suppose 2*m - 20 = -4*x, 0 = -x - i*m + 5*m - 1. Find p such that 1/2*p**2 - p - 3/2*p**5 + 5/2*p**x + 0 - 1/2*p**4 = 0.
-1, 0, 2/3, 1
Let p(z) be the second derivative of z**4/36 + 23*z**3/9 - 16*z**2 - 194*z - 2. Solve p(y) = 0.
-48, 2
Solve -24/7*s**4 - 48/7*s**2 + 3/7*s**5 + 0 + 15/7*s + 54/7*s**3 = 0.
0, 1, 5
Let a be 2/(-4) + 42/12. Suppose 0 = -s + a - 1. Factor s*o**2 - o**2 + 3 + o**2 - 5*o**2 - 3*o**3 + 3*o.
-3*(o - 1)*(o + 1)**2
Suppose -5*w + 2*t + 11 = 0, 2*t = 5*w + 5*t - 21. Solve 5*q**2 + 5*q**5 - 5*q**2 - 8*q**5 + 3*q**w = 0 for q.
-1, 0, 1
Let g(w) be the second derivative of -2*w**4 - 22*w**3/3 + 4*w**2 - w + 8. Factor g(v).
-4*(v + 2)*(6*v - 1)
Factor 10/7*t**2 - 2/7*t**3 - 16/7 - 4/7*t.
-2*(t - 4)*(t - 2)*(t + 1)/7
Suppose -2*w = 3*w + 125. Let i be ((-4)/w)/((-18)/(-45)). Determine m so that -i*m**2 + 6/5*m - 4/5 = 0.
1, 2
Solve 10/7 + 15*r**3 + 9/7*r**4 + 71/7*r + 157/7*r**2 = 0 for r.
-10, -1, -1/3
Let p be (10/(-15) - 70/(-15)) + -2. Find s such that -6/13*s**4 + 0 + 4/13*s**3 - 4/13*s + 6/13*s**p = 0.
-1, 0, 2/3, 1
Let h be 27/18 - (-2925)/(-6). Let j = h + 2438/5. Factor -2/5*f**2 - j + 8/5*f.
-2*(f - 2)**2/5
Let g = 306868 - 2764619/9. Let i = g + 312. Find t, given that 1/3*t - i*t**5 + 2/9*t**2 - 1/3*t**4 - 2/9*t**3 + 1/9 = 0.
-1, 1
Let s(h) = h**3 - h + 1. Let i(n) = n**3 - 4*n**2 - 1. Let m be i(4). Let f(v) = -5*v**3 + 3*v**2 + 2*v - 2. Let b(t) = m*f(t) - 2*s(t). Factor b(r).
3*r**2*(r - 1)
Let b(j) = -12*j**2 + 4. Let l be (-16)/12*6/(-4). Let n(v) = 11*v**2 - 2 + v**3 - v - 1 + 2*v**l. Let f(w) = 5*b(w) + 4*n(w). Factor f(y).
4*(y - 2)*(y - 1)*(y + 1)
Let q = 529/100 + -126/25. Factor 1/8*m**2 + q - 3/8*m.
(m - 2)*(m - 1)/8
Suppose -14*b - 88*b + 306 = 0. Factor 2/5*y**4 + 0 - 4/5*y - 6/5*y**2 + 0*y**b.
2*y*(y - 2)*(y + 1)**2/5
Let l(n) = n**3 + 2*n**2 - 1. Let h = -16 + 17. Let o be l(h). Factor -30*s**o - 13*s**2 + 37*s**3 + 123*s**3 + 8*s - 64*s**4 - 25*s**2.
-4*s*(s - 2)*(4*s - 1)**2
Let q(d) be the second derivative of 2/3*d**3 + 0*d**2 - 1/180*d**6 - d + 0 + 0*d**4 + 1/60*d**5. Let j(v) be the second derivative of q(v). Factor j(s).
-2*s*(s - 1)
Let d be (-4)/(-8) + (-1)/2. Let t = -20 + 23. Factor 8*s**3 + 6*s**2 - t*s + s + 0*s**2 + d*s.
2*s*(s + 1)*(4*s - 1)
Suppose n + 42 = -5*n + 20*n. Let 2/3*s**n + 0*s**2 + 0*s + 0 + 2/3*s**4 = 0. Calculate s.
-1, 0
Let b(q) be the third derivative of q**5/450 + q**4/36 - 16*q**2. Factor b(y).
2*y*(y + 5)/15
Factor -11/8*y - 1/8*y**2 - 7/2.
-(y + 4)*(y + 7)/8
Let j be 2/(-4) + (-10)/(-4). Let s = 9 - 0. Determine b so that 0*b**j + 2*b + 0*b**2 + s*b**2 - 8*b**2 + 1 = 0.
-1
Let p(h) = h**2 - 2*h - 21. Let z be p(-4). Solve 0*y**3 + 4 - 98*y + 4*y**3 + 4*y**z - 70*y**2 - 24 = 0 for y.
-1, -1/4, 10
Let r(t) = -24*t**2 - 8*t + 5. Let p(b) = -17*b**2 - 7*b + 4. Let s(f) = -5*p(f) + 4*r(f). Factor s(v).
-v*(11*v - 3)
Let i(x) be the first derivative of -2*x**7/525 + x**6/150 - x**5/300 - x**2 - 11. Let r(u) be the second derivative of i(u). Factor r(a).
-a**2*(2*a - 1)**2/5
Suppose 24*k = 27*k. Factor k*s**3 - 1/2 + s**2 - 1/2*s**4 + 0*s.
-(s - 1)**2*(s + 1)**2/2
Let i be ((-238)/105)/(80/(-90)*(-3)/(-4)). Solve 0*a - 4*a**3 - i*a**4 + 0 - 4/5*a**5 - 4/5*a**2 = 0.
-2, -1/4, 0
Let g(k) be the first derivative of 4/7*k**2 + 1/14*k**4 - 8/21*k**3 + 0*k + 23. Factor g(d).
2*d*(d - 2)**2/7
Let w(j) be the second derivative of j**5/45 - 5*j**4/27 - 16*j**3/27 + 32*j**2/3 - 9*j. Suppose w(f) = 0. What is f?
-3, 4
Let w be 9/27 - 28/(-6). Let k be (-1 - -7)*8/12. Suppose 5*m**3 - m**w - 7*m**3 + m**3 - 2*m**k = 0. Calculate m.
-1, 0
Determine l, given that 11/2*l + 1/6*l**2 - 1/6*l**3 + 21/2 = 0.
-3, 7
Let z = -28478/15 + 9521/5. Let -5/6*t**2 - z - 29/2*t = 0. What is t?
-17, -2/5
Let v = 446 - 442. Let g(u) be the first derivative of -2/3*u + 1/9*u**6 - v - 2/15*u**5 + 1/3*u**2 + 4/9*u**3 - 1/3*u**4. Find q such that g(q) = 0.
-1, 1
Let n(p) be the second derivative of 81*p**6/10 + 1323*p**5/20 + 127*p**4 + 82*p**3 + 24*p**2 + 40*p. Factor n(w).
3*(w + 1)*(w + 4)*(9*w + 2)**2
Suppose 432/7*c + 1944/7 + 2/7*c**3 - 66/7*c**2 = 0. What is c?
-3, 18
Let h(o) = -o**3 - 10*o**2 + 11*o - 2. Let k be h(-11). Let a be k + 0 + 8 + -2. Solve -6*g**5 + 0*g**5 + g**2 + g**5 + 4*g**5 - 3*g**3 + 3*g**a = 0.
0, 1
Let h(c) be the third derivative of c**8/100800 - c**7/4200 - c**5/4 - 18*c**2. Let k(r) be the third derivative of h(r). What is z in k(z) = 0?
0, 6
Let i = 10 + -8. Factor -7*p + 6*p**3 + 2*p**4 + 4*p**i + 7*p.
2*p**2*(p + 1)*(p + 2)
Let q(p) be the second derivative of -p**8/43680 + p**7/16380 + p**6/2340 - 3*p**4/4 + 15*p. Let v(l) be the third derivative of q(l). Factor v(g).
-2*g*(g - 2)*(g + 1)/13
Let d(u) be the second derivative of -u**4/15 - 28*u**3/15 + 23*u - 1. Factor d(j).
-4*j*(j + 14)/5
Let m(r) be the first derivative of r**5/2 + 3*r**4/8 - 31*r**3/3 + 6*r**2 - 154. Let m(i) = 0. What is i?
-4, 0, 2/5, 3
Let l(v) be the second derivative of -v**7/77 + 4*v**6/55 - 3*v**5/110 - 5*v**4/11 + 4*v**3/11 + 24*v**2/11 - 60*v. Let l(a) = 0. What is a?
-1, 2
Let o(q) be the second derivative of q**7/84 - q**6/6 + 17*q**5/20 - 13*q**4/6 + 37*q**3/12 - 5*q**2/2 - 125*q. Suppose o(h) = 0. Calculate h.
1, 2, 5
Let d(j) be the first derivative of -j**6/12 + 9*j**5/10 - 27*j**4/8 + 31*j**3/6 - 3*j**2 + 302. Determine x so that d(x) = 0.
0, 1, 3, 4
Let k(h) = 6*h - 1. Let v be k(1). Let y = v + -2. Let j - 40*j**4 + 42*j**4 - 2*j**y - 2*j**2 + j = 0. Calculate j.
-1, 0, 1
Let d = 8 - 4. Let x be -1 + 0 + 33/11. Suppose -2*w**d - 2*w - x*w + 4*w**3 + 4 - 2 = 0. Calculate w.
-1, 1
Let f(l) be the third derivative of l**7/42 - l**6/12 - l**5/3 + 5*l**4/12 + 5*l**3/2 + 30*l**2. Solve f(u) = 0.
-1, 1, 3
Let g(i) be the first derivative of 4*i**5/5 + 36*i**4 + 432*i**3 - 79. Determine z, given that g(z) = 0.
-18, 0
Factor -9 - 2 + 15 + 14*t - 2*t**2 + 12.
-2*(t - 8)*(t + 1)
Determine s so that -22/9*s + 2/9*s**2 + 0 = 0.
0, 11
Suppose 4*o = 30 - 2. Factor -4*r**2 + 8*r - 10 + o*r - 3*r + 2*r**2.
-2*(r - 5)*(r - 1)
Let q(o) be the first derivative of -9*o**4/4 - 58*o**3 - 687*o**2/2 - 210*o + 322. Suppose q(l) = 0. What is l?
-14, -5, -1/3
Let -2*h**3 - 1621*h - 5476 - 538*h - 888*h + 605*h + 51*h**2 + 93*h**2 = 0. What is h?
-2, 37
Let n(g) be the second derivative of g**6/15 - 33*g**5/5 + 242*g**4 - 10648*g**3/3 + 88*g. Factor n(c).
2*c*(c - 22)**3
Let w(s) be the first derivative of 2*s**5/35 + 9*s**4/7 + 242*s**3/21 + 360*s**2/7 + 800*s/7 + 36. Suppose w(