97*a + 121*a + 4*a**2 + 80 = 0. What is a?
4, 5
Suppose 0 = -0*v + 2*v + 4. Let w be v*(5 + -3) - (-78)/15. Let -w*d + 3/5*d**2 - 3/5*d**4 + 0 + 6/5*d**3 = 0. What is d?
-1, 0, 1, 2
Let w be 51/39 - ((0 - 3) + 4). Let l = 54/91 - w. Factor -32/7 + 16/7*c - l*c**2.
-2*(c - 4)**2/7
Let c(p) = p**3 + 4*p**2 + p - 4. Let z be c(-2). Find o such that o**2 + 4*o**2 - 9*o**z - 144 + 48*o = 0.
6
Let c(d) = 3*d + 24. Suppose w - 6*w = -5*r - 60, 8 = r + 4*w. Let t be c(r). What is s in 2/3*s**2 + t + 4/3*s = 0?
-2, 0
Factor -4/7*j**2 - 132/7*j - 360/7.
-4*(j + 3)*(j + 30)/7
Let t(b) be the first derivative of b**6/18 - 4*b**5/15 - 2*b**4/3 + 14*b**3/9 + 7*b**2/6 - 10*b/3 - 114. Solve t(n) = 0.
-2, -1, 1, 5
Let y(p) be the second derivative of p**5/40 + p**4/12 - p**3/4 - 17*p. What is w in y(w) = 0?
-3, 0, 1
Let n(l) be the second derivative of 1/10*l**3 - 1/60*l**4 + 0 + 6*l + 0*l**2. Solve n(f) = 0 for f.
0, 3
Suppose -51*w - 96*w - 152 = -740. Find v, given that 5/9*v**3 + 0*v**2 + 0*v - 1/9*v**w + 0 = 0.
0, 5
Let 1/4*k**4 + 0*k + 0 - 1/4*k**2 + 0*k**3 = 0. What is k?
-1, 0, 1
Let d(k) be the second derivative of 0 + 0*k**2 + 11*k - 9/20*k**5 + 1/14*k**7 + 0*k**6 + 0*k**3 - 1/2*k**4. Factor d(q).
3*q**2*(q - 2)*(q + 1)**2
Let q = 175 + -340. Let h be q/(-110) + (1 - (3 + -1)). Let 1/6 - h*y**2 - 1/3*y = 0. What is y?
-1, 1/3
Suppose 4*f + 18 = u, 0 = 5*u - 0*f - 2*f - 18. Factor 0*h + u*h + 2*h + h**3 - 5*h.
h*(h - 1)*(h + 1)
Let u be -1*((-10 - -5) + 3). Let x(c) be the first derivative of 0*c + 8 - 1/21*c**3 + 1/14*c**u. Factor x(n).
-n*(n - 1)/7
Let a(i) be the first derivative of 8*i**2 - 2/5*i**5 - i**4 + 8*i + 28 + 2*i**3. Determine m so that a(m) = 0.
-2, -1, 2
Suppose -2*q + 64 - 58 = 0. Let o(a) be the third derivative of -1/4*a**4 + 23/40*a**6 - 2/7*a**7 + 0 - 2*a**2 + 0*a**q - 1/20*a**5 + 0*a. Solve o(d) = 0 for d.
-1/4, 0, 2/5, 1
Let h = 11/32 + -47/160. Let n(b) be the second derivative of 4*b - 1/12*b**4 + 0*b**3 + 0 + 0*b**2 + h*b**5. Factor n(d).
d**2*(d - 1)
Factor 5*l**5 + 56*l**2 + 45*l**4 + 135*l**3 + 482 + 79*l**2 - 482.
5*l**2*(l + 3)**3
Factor 15*b - 3/2*b**2 + 0.
-3*b*(b - 10)/2
Let h(m) = 4*m**2 + 64*m - 136. Let j(i) = 9*i**2 + 127*i - 270. Let c(u) = -5*h(u) + 2*j(u). Determine w so that c(w) = 0.
-35, 2
Suppose m = -w - 1, 4*m + 3 + 3 = -5*w. Let a = w - -4. Solve 10 - 4 + 12*s**a - 5*s - 3*s**3 + 3*s - 13*s = 0 for s.
1, 2
Let h(n) be the third derivative of -n**8/7 + 116*n**7/35 + 119*n**6/40 + 3*n**5/4 + 88*n**2 - n. Determine m, given that h(m) = 0.
-1/4, 0, 15
Let w = 2870/7711 + -6/701. Factor -14/11*a + 6/11*a**2 + w.
2*(a - 2)*(3*a - 1)/11
Determine m, given that -m**2 - 86*m**4 - 76*m**3 + 5*m**2 + 5*m**2 + 214*m**4 - m**2 - 60*m**5 = 0.
0, 2/15, 1
Let s(o) be the first derivative of -5 - 1/30*o**4 - 1/2*o**2 - 1/150*o**5 + 0*o**3 + 0*o. Let t(r) be the second derivative of s(r). Factor t(p).
-2*p*(p + 2)/5
Let s(b) be the first derivative of b**6/12 + 9*b**5/5 - 21*b**4/2 + 44*b**3/3 - 4. Solve s(p) = 0 for p.
-22, 0, 2
Let t(i) be the second derivative of -1/6*i**4 - 2*i**2 - i**3 + 0 + 9*i. Find y, given that t(y) = 0.
-2, -1
Determine c, given that 42/11*c + 2/11*c**5 - 92/11*c**2 + 90/11 - 4*c**3 + 2/11*c**4 = 0.
-3, -1, 1, 5
Let i(o) be the second derivative of o**5/45 - o**4/9 - 8*o**3/27 - 3*o + 5. Factor i(t).
4*t*(t - 4)*(t + 1)/9
Let b(o) = 8*o**3 - 6*o**2 - 2*o - 1. Let v(z) = -9*z**3 + 7*z**2 + 3*z. Let i(u) = 4*b(u) + 3*v(u). Let c be i(3). Factor 107 - 2*h - c + 2*h**3.
2*h*(h - 1)*(h + 1)
Let c(g) be the third derivative of -g**8/168 + 29*g**7/420 + 41*g**6/240 - 179*g**5/30 + 91*g**4/3 - 80*g**3/3 + 346*g**2. Let c(l) = 0. What is l?
-5, 1/4, 4
Let n(k) = -12*k - 14*k + 21*k - 23. Let b be n(-5). Solve 0*r + 0 + 1/2*r**b = 0 for r.
0
Suppose -276*u**2 + 1728*u - 3/2*u**4 - 1944 - 48*u**3 = 0. Calculate u.
-18, 2
Factor 13/11*d + 3/11*d**2 - 10/11.
(d + 5)*(3*d - 2)/11
Let l(z) be the first derivative of -z**4/20 + 3*z**2/10 - 4*z + 6. Let u(o) be the first derivative of l(o). Factor u(t).
-3*(t - 1)*(t + 1)/5
Let r = -47 - -49. Factor -12*k - 3*k**2 - k**3 + 4*k**2 + 11*k**r - 2*k**3.
-3*k*(k - 2)**2
Let x(b) = b**4 - b**2 + 2. Let y(o) = 7*o**4 + 23*o**3 + 11*o**2 - 5*o + 6. Let m(a) = 6*x(a) - 2*y(a). Find c such that m(c) = 0.
-5, -1, 0, 1/4
Let i(q) be the first derivative of q**3/12 - 9*q**2/8 - 11*q/2 + 58. Factor i(n).
(n - 11)*(n + 2)/4
Let j(x) = 4*x**2 + 385*x + 38809. Let u(r) = -7*r**2 - 773*r - 77618. Let c(z) = -5*j(z) - 3*u(z). What is y in c(y) = 0?
-197
Let x(u) be the second derivative of -4*u**5/5 + u**4/6 + 32*u**3/3 - 4*u**2 + 470*u. Factor x(w).
-2*(w - 2)*(w + 2)*(8*w - 1)
Let t(x) = 20*x**3 + 16*x**2 - 88*x + 60. Let i(r) = -61*r**3 - 49*r**2 + 264*r - 180. Let u(d) = 4*i(d) + 13*t(d). What is z in u(z) = 0?
-3, 1, 5/4
Suppose -5 + 17 = -3*z, 3*q - 2 = -z. Let l(y) be the third derivative of 1/24*y**4 - 1/60*y**5 + 1/3*y**3 + 0*y - 4*y**q + 0. Factor l(i).
-(i - 2)*(i + 1)
Let o(m) = m**3 + 6*m**2 - 5*m - 1. Let u be o(-7). Let l = u + 17. Factor -4 + 6*t**4 - 13*t**2 + 8*t**2 - 7*t**2 - 18*t + l*t**3 - 6*t**2.
2*(t - 2)*(t + 1)**2*(3*t + 1)
Factor 11*w**4 + 905*w**3 - 125*w + 245*w**2 + 4*w**4 - 520*w**3.
5*w*(w + 1)*(w + 25)*(3*w - 1)
Suppose 0 = -4*z + 2*i + 2, z + 0 = -2*i + 8. Determine k so that -2*k**2 + 8*k**4 - z*k**2 + k + 14*k**3 - k = 0.
-2, 0, 1/4
Let t(o) be the first derivative of -3*o**3 - 417*o**2/4 - 69*o/2 + 637. Factor t(z).
-3*(z + 23)*(6*z + 1)/2
Let m(b) be the second derivative of b**6/10 + 24*b**5/5 + 46*b**4 - 576*b**3 + 1944*b**2 - 667*b. Factor m(s).
3*(s - 2)**2*(s + 18)**2
Determine i so that -48/5 - 12/5*i**2 + 6/5*i**3 + 2/5*i**4 - 56/5*i = 0.
-2, 3
Let a(v) be the third derivative of 0*v**3 + 3*v**2 + 0*v - 1/90*v**5 + 0 + 1/18*v**4. Factor a(r).
-2*r*(r - 2)/3
Let 176*f**2 - 20*f**2 - 74*f**2 - 320*f**3 - 10*f**5 - 96*f + 199*f**2 + 71*f**2 + 104*f**4 = 0. Calculate f.
0, 2/5, 2, 6
Suppose -4 = -4*p + 8. Suppose m - 6 = -p*q, -3*m - 9 = -4*q - 1. Determine z, given that -q*z**2 + 2*z**4 - 47 + 47 = 0.
-1, 0, 1
Let j = -19 - -32. Suppose -29 + j = -4*v. Suppose 2 - v*x - 4 - x**2 - 1 = 0. Calculate x.
-3, -1
Suppose i - 118*m = -121*m + 16, -5*i - 3*m + 32 = 0. Factor -5/2*y**2 + 2 + y + y**i - 1/4*y**5 - 1/4*y**3.
-(y - 2)**3*(y + 1)**2/4
Let b(n) be the third derivative of n**8/10080 - n**7/1440 - n**6/720 + n**5/10 - 6*n**2. Let j(p) be the third derivative of b(p). Find c such that j(c) = 0.
-1/4, 2
Solve -168/11*s**2 - 10/11 + 50/11*s**4 + 92/11*s - 20*s**3 = 0.
-1, 1/5, 5
Suppose 338/11*b**2 + 26*b**3 + 0 - 50/11*b**4 + 0*b + 2/11*b**5 = 0. Calculate b.
-1, 0, 13
Find p such that 1/7*p**3 + 0 - 3/7*p + 2/7*p**2 = 0.
-3, 0, 1
Let p(r) be the first derivative of -44*r**5/5 + 141*r**4 - 908*r**3/3 + 150*r**2 + 88*r + 28. Determine m, given that p(m) = 0.
-2/11, 1, 11
Let v(x) be the first derivative of -x**6/48 + x**5/10 - 5*x**4/32 + x**3/12 - 11. Factor v(n).
-n**2*(n - 2)*(n - 1)**2/8
Let l(h) be the first derivative of h**6 - 28*h**5/5 + 10*h**4 - 16*h**3/3 + 135. Factor l(r).
2*r**2*(r - 2)**2*(3*r - 2)
Let o be 0*(43 - 41 - 12/(-8)*-2). Factor o + 10/21*g**3 - 8/7*g**2 + 8/21*g.
2*g*(g - 2)*(5*g - 2)/21
Let y(p) be the second derivative of p**5/70 - 8*p**4/21 + 11*p**3/3 - 14*p**2 - 31*p + 4. Factor y(u).
2*(u - 7)**2*(u - 2)/7
Let t be 1/((-4)/(-16)*2). Factor -36*c + 29*c**2 - 56*c**t + 29*c**2 + 162.
2*(c - 9)**2
Factor -24*b**4 - 69*b + 17*b + 35*b**3 + 26*b**4 - 7*b**3 + 22*b**2.
2*b*(b - 1)*(b + 2)*(b + 13)
Factor 64/7*s + 32/7 + 6*s**2 + 11/7*s**3 + 1/7*s**4.
(s + 1)*(s + 2)*(s + 4)**2/7
Let j(u) be the second derivative of u**6/15 - u**5/5 + u**4/6 + 49*u. Factor j(y).
2*y**2*(y - 1)**2
Let m(v) = -v**3 - 10*v**2 - 5*v - 4. Let z be m(-10). Let k = 231/5 - z. Let 2/5*p**2 + 0 - 1/5*p - 2/5*p**4 + 0*p**3 + k*p**5 = 0. What is p?
-1, 0, 1
Let y(h) be the third derivative of h**5/12 + 5*h**4/4 + 25*h**3/6 - 6*h**2 + 2. Factor y(k).
5*(k + 1)*(k + 5)
Let v(w) = -4*w - 36. Let f be v(-9). Let z(j) be the third derivative of 0*j + 1/72*j**4 + f + 0*j**3 + 4*j**2 - 1/360*j**5. Factor z(m).
-m*(m - 2)/6
Find o such that 0 + 0*o + 2/3*o**3 + 20*o**2 = 0.
-30, 0
Let c(p) be the first derivative of -5*p**9/3024 - p**8/168 - p**7/