*c + 955*c = 0.
-1, -2/23
Let q be 0/378*6/78. Let n = 5 + -3. Suppose 1/7*y**n + q + 1/7*y - 2/7*y**3 = 0. What is y?
-1/2, 0, 1
Solve -4/3*u**4 + 0 + 38/3*u**3 - 16/3*u**2 - 6*u = 0 for u.
-1/2, 0, 1, 9
Let q(m) be the third derivative of 1/90*m**5 + 0*m + 97*m**2 - 7/36*m**4 + 0 - 44/9*m**3. Factor q(j).
2*(j - 11)*(j + 4)/3
Let l be 14 - (-32 - -16 - -30). Let p(j) be the second derivative of -3/2*j**4 + l + 3/2*j**2 - 21/40*j**5 - 2*j - 3/4*j**3. Factor p(y).
-3*(y + 1)**2*(7*y - 2)/2
Suppose 318*z = 311*z + 21. Factor 4 - 4*i**z - 6*i - 4*i**2 + 21*i - 11*i.
-4*(i - 1)*(i + 1)**2
Let a be (-1248)/(-80) - 3/5. Let m(k) be the first derivative of -15/8*k**2 + 3/2*k + 3/16*k**4 + 3/4*k**3 - 3/20*k**5 - a. Factor m(d).
-3*(d - 1)**3*(d + 2)/4
Let f(l) = 27*l**2 + 23325*l + 22683. Let c(q) = -2*q**2 - 1666*q - 1619. Let r(s) = -82*c(s) - 6*f(s). What is w in r(w) = 0?
-1, 1670
Let s(f) be the first derivative of -f**3 + 1/6*f**6 + 0*f + 0*f**2 - 1/5*f**5 + 108 - 5/4*f**4. Factor s(j).
j**2*(j - 3)*(j + 1)**2
Let q(b) = 3*b**3 + 3*b**2 - 16*b. Let m(p) = 3*p**3 + 3*p**2 - 14*p. Let d(x) = -5*m(x) + 4*q(x). Factor d(c).
-3*c*(c - 1)*(c + 2)
Let s(x) be the first derivative of 0*x - 4*x**5 - 41 - 16/3*x**3 + 0*x**2 + 2/3*x**6 + 8*x**4. Determine j, given that s(j) = 0.
0, 1, 2
Let r be (-76)/(-21) - (7 - 5/((-360)/(-264))). Determine x so that -4/7*x**2 + 0*x + r*x**4 - 2/7*x**3 + 0 = 0.
-1, 0, 2
Let a(p) be the second derivative of p**4/126 + 46*p**3/7 + 14283*p**2/7 + 2829*p + 1. Suppose a(h) = 0. Calculate h.
-207
Suppose -12*g + 8 = -28. Factor -72*w**2 + 6*w**4 + 43*w**3 + 16*w + 17*w**g + 44*w**4.
2*w*(w + 2)*(5*w - 2)**2
Suppose -3*t + 0*t - s = 9, 0 = -3*t - 3*s - 15. Let b be (4/(-14))/(t*(-2)/(-28)). Let b*y**3 - 16*y + 3*y + 11*y - 2*y**2 + 2 = 0. What is y?
-1, 1
Suppose -2*w = -6*w. Suppose 4*f = -w*f, -3*u + 5*f = -12. Factor -11*a**3 + a - u*a - 3*a**5 + 32*a**3 - 15*a**3.
-3*a*(a - 1)**2*(a + 1)**2
Let m be (-378)/(-15) - 30 - 68/(-10). Let -1/2*l**m + 0*l - 7/4*l**3 - 2*l**4 - 3/4*l**5 + 0 = 0. Calculate l.
-1, -2/3, 0
Let k(x) = 42863*x - 128589. Let f be k(3). Factor 0*u**2 + 0*u + 2/3*u**3 - 1/3*u**4 + f.
-u**3*(u - 2)/3
Find i, given that 0 + 2*i**3 + 0*i - 8*i**2 + 2/9*i**4 = 0.
-12, 0, 3
Let s(c) be the second derivative of 1/4*c**4 + 18*c + 12*c**2 + 3*c**3 + 2. Factor s(a).
3*(a + 2)*(a + 4)
Let p(x) be the second derivative of x**6/480 - 7*x**5/240 + x**4/16 + 53*x**2/2 - 62*x. Let f(z) be the first derivative of p(z). Factor f(r).
r*(r - 6)*(r - 1)/4
Factor -5/7*i**3 - 3/7*i - i**2 - 1/7*i**4 + 0.
-i*(i + 1)**2*(i + 3)/7
Let l(s) = -3*s**2 + 231*s - 4563. Let m(a) = 6*a**2 - 463*a + 9126. Let j be (8 + -5)*15/9. Let t(v) = j*l(v) + 3*m(v). Let t(y) = 0. What is y?
39
Let z be ((-36)/14)/((35/5)/(-49)). What is y in 3*y**3 + z*y**2 + 7842 + 15*y - 7842 = 0?
-5, -1, 0
Let q(g) be the third derivative of g**8/448 - 257*g**7/280 + 8*g**6/5 - 1687*g**2. Solve q(c) = 0 for c.
0, 1, 256
Determine f, given that 10/17*f**3 + 0*f - 48/17*f**2 + 2/17*f**4 + 0 = 0.
-8, 0, 3
Let k = -18367/6 - -3062. Let w(o) be the first derivative of -11 - 5/3*o + k*o**3 + 5/12*o**2. Let w(a) = 0. Calculate a.
-1, 2/3
Let d = 19922/75 - 169/150. Factor -d + 23*o - 1/2*o**2.
-(o - 23)**2/2
Let w be (-150)/(-100) - (-26)/4. Suppose 19*n - w*n = 22. Factor -16/7*y**n + 18/7*y + 0 - 2/7*y**3.
-2*y*(y - 1)*(y + 9)/7
What is j in -32*j**2 + 1/11*j**4 + 31/11*j**3 + 0 + 320/11*j = 0?
-40, 0, 1, 8
Let h(t) be the first derivative of -32*t + 0*t**3 + 1/4*t**4 - 6*t**2 + 28. Let z(r) be the first derivative of h(r). Factor z(b).
3*(b - 2)*(b + 2)
Let h be 22*(-2)/480 + 669/(-1784) + (-12)/(-15). Let 22/3*q**2 - h*q**5 + 10/3*q**4 + 0 - 7/3*q - 8*q**3 = 0. What is q?
0, 1, 7
Suppose -p + z = 3*z - 135, 3*p - z - 398 = 0. Determine g so that 26*g**2 + 5 - p*g + 157*g + 2*g**4 + 3 + 12*g**3 = 0.
-2, -1
Let b(n) = -5*n**2 - 42*n + 122. Let l(v) = -v**2 + 359*v + 30 - 179*v - 191*v. Let t(w) = 2*b(w) - 9*l(w). Let t(k) = 0. Calculate k.
2, 13
Suppose -25*z = -23*z - 5*r - 16, r + 17 = 5*z. Let j(p) be the first derivative of 1/8*p**2 + 14 + 0*p - 1/16*p**4 + 1/20*p**5 - 1/12*p**z. Factor j(f).
f*(f - 1)**2*(f + 1)/4
Let t(r) be the second derivative of r**6/6 + 25*r**5/4 + 415*r**4/6 + 80*r**3 - 720*r**2 - r - 190. What is c in t(c) = 0?
-12, -2, 1
Factor -15*o**2 + 113 - 437 - 13*o**2 + 37*o**2 + 54*o - 11*o**2.
-2*(o - 18)*(o - 9)
Let h = 5/196 + 11/49. Let d(z) be the second derivative of h*z**5 + 0 - 5/12*z**4 + 5*z + 0*z**2 - 5/3*z**3. Factor d(l).
5*l*(l - 2)*(l + 1)
Suppose 16 = t - 9*z + 4*z, 0 = -5*z - 10. Suppose 481 - 499 = -t*f. Factor -27/5 + 18/5*r**2 - 2*r**f - 7/5*r**4 - 1/5*r**5 + 27/5*r.
-(r - 1)**2*(r + 3)**3/5
Let p(a) = a**3 - 27*a**2 - 93*a + 93. Suppose -58*u + 270 = -49*u. Let b be p(u). Solve 0 + 1/2*f + 1/2*f**b - f**2 = 0.
0, 1
Let q be (264/20)/11*(-110)/(-198). Let v(k) be the first derivative of -37 + 0*k**4 + 0*k**2 - q*k**6 - 16/3*k**3 + 0*k + 12/5*k**5. Factor v(c).
-4*c**2*(c - 2)**2*(c + 1)
Let j(g) be the third derivative of 55*g**8/336 - 48*g**7/7 + 298*g**6/3 - 1079*g**5/2 + 25465*g**4/24 - 605*g**3 - 90*g**2 + 8*g. Find k, given that j(k) = 0.
2/11, 1, 3, 11
Suppose -48860/3*r**3 + 4900/3*r**4 + 3490/3*r + 40367*r**2 + 25/3 = 0. What is r?
-1/70, 5
Let n(s) be the third derivative of -s**6/120 - 323*s**5/60 - 1080*s**4 + 4374*s**3 - 4*s**2 + 48*s. Factor n(h).
-(h - 1)*(h + 162)**2
Let w = -143 - -159. Factor 5*q**2 + 67 + 2*q**3 - 99 + q**2 + w*q + 8*q**2.
2*(q - 1)*(q + 4)**2
Suppose 0 = 5*y + 30 - 45. Suppose -t = -t + y*t. Solve t + 4/7*z**2 + 8/7*z = 0 for z.
-2, 0
Let k(h) = -85*h**3 + 63*h**2 + 552*h + 1124. Let u(w) = 14*w**3 + 2. Let o(t) = 5*k(t) + 30*u(t). Find g such that o(g) = 0.
-4, 71
Let b = 41409/7 - 5915. Let g(q) be the second derivative of 0 - 18*q + 5/21*q**3 + 1/42*q**4 + b*q**2. What is a in g(a) = 0?
-4, -1
Let c(j) = -5*j**2 + 17*j + 12. Let g = 16 + 21. Let a(x) = 3*x**2 - g*x - x**2 + 29*x - 6. Let u(y) = -14*a(y) - 6*c(y). Determine m so that u(m) = 0.
-3, -2
Let w(t) = -t**2 + 5*t - 4. Let o be w(2). Let x(c) be the first derivative of 11*c**o - 33 + 15*c**2 + c**3 - 26*c**2. Factor x(f).
3*f**2
Let v(b) be the second derivative of -b**4/60 + 29*b**3/15 - 40*b**2 - 3025*b. Let v(d) = 0. Calculate d.
8, 50
Let v(k) be the second derivative of 0*k**2 - 5/18*k**4 - 3/20*k**5 + 2/45*k**6 - 4*k + 1/6*k**3 + 9. Factor v(x).
x*(x - 3)*(x + 1)*(4*x - 1)/3
Let a(k) be the first derivative of 1/2*k**3 - 65 + 3/2*k**2 - 9/2*k. Suppose a(g) = 0. Calculate g.
-3, 1
Let c(m) = 5*m**4 + 5*m**2 - 10*m + 10. Let n(o) = 2*o - o - 1 + 3*o**2 - 3*o**2 + o**3. Let q = -48 - -38. Let r(f) = q*n(f) - c(f). Factor r(g).
-5*g**2*(g + 1)**2
Let s = 26902 - 26899. Let k(c) be the first derivative of 1/4*c**2 - 5/12*c**s + 0*c - 6 - 3/16*c**4. Factor k(t).
-t*(t + 2)*(3*t - 1)/4
Let x = 7353 + -257353/35. Let b(g) be the third derivative of 0*g**5 + 12*g**2 - 1/10*g**6 + 0*g**4 - x*g**7 + 0 + 0*g**3 + 0*g - 1/112*g**8. Factor b(p).
-3*p**3*(p + 2)**2
Suppose 8*s - 3*s + 425 = 0. Let f = 98 + s. Suppose i**2 + 3*i**4 - f*i**5 + 3*i**4 + 3*i - 7*i**2 + 10*i**5 = 0. Calculate i.
-1, 0, 1
Let i(t) be the third derivative of 1681*t**7/1365 - 451*t**6/13 + 55106*t**5/195 - 880*t**4/13 + 256*t**3/39 + 221*t**2 + 13*t. Suppose i(s) = 0. Calculate s.
2/41, 8
Let a(z) = z**2 + z - 36. Let d be a(-7). Factor d*j**4 - 4*j**3 - 307*j + 355*j - 32*j**2 - 2*j**4.
4*j*(j - 2)**2*(j + 3)
Let r(p) = 20*p - 237. Let o be r(19). Factor -128 + o*m**3 - 17*m**3 + 70*m**3 + 512*m - 616*m**2.
4*(m - 2)*(7*m - 4)**2
Let a(d) be the first derivative of 16 + 3/10*d**5 + 0*d**2 + 0*d**4 + 1/10*d**6 + 0*d**3 - 5*d. Let o(y) be the first derivative of a(y). Factor o(x).
3*x**3*(x + 2)
Let a(p) be the third derivative of 7/180*p**6 + 0 + 274*p**2 + 1/5*p**5 - 1/315*p**7 + 0*p + 0*p**4 + 0*p**3. Suppose a(r) = 0. Calculate r.
-2, 0, 9
Let m(v) = -2*v**3 + 44*v**2 + 69*v - 524. Let k be m(23). Factor 4/3*t**k - 16/3*t**2 + 16/3*t + 0 + 8/3*t**4 - 4*t**3.
4*t*(t - 1)**2*(t + 2)**2/3
Factor -2/5*n**2 + 44/5*n + 0.
-2*n*(n - 22)/5
Let u be (-76)/(-1026)*9 + 14/6. Suppose 5/2*z**5 + 0 + 0*z**u + 0*z + z**4 + 0*z**2 = 0. Calculate z.
-2/5, 0
Let w(n) = 