 62*y + 8 + i*y**2 - 17*y**3 + 26*y = 0. What is y?
2/3
Let u(q) be the second derivative of q**6/2340 + q**5/156 + q**4/26 + q**3/6 - 20*q. Let j(r) be the second derivative of u(r). Solve j(g) = 0.
-3, -2
Let z(h) be the third derivative of 0*h - 1/360*h**5 + 1/12*h**3 + 0 + 1/72*h**4 + h**2. Factor z(c).
-(c - 3)*(c + 1)/6
Factor 5/4*b + 0 - 7/2*b**2 - 3/4*b**3.
-b*(b + 5)*(3*b - 1)/4
Solve -3*f**3 - 344 + 344 - 5*f - 3*f**2 + 10*f + 13*f = 0.
-3, 0, 2
Let b = 3259 - 3255. Factor -2/5*n**3 + 0 - 2/5*n**b + 2/5*n**2 + 2/5*n.
-2*n*(n - 1)*(n + 1)**2/5
Suppose -c - 4 = 2. Let o(z) = -8*z**5 - 11*z**4 + z**3 + 3*z**2 - z - 7. Let v(q) = 7*q**5 + 10*q**4 - 2*q**2 + q + 6. Let g(p) = c*o(p) - 7*v(p). Factor g(b).
-b*(b + 1)**4
Let v(r) be the first derivative of 4*r**5/15 - 4*r**3/9 + 58. Factor v(w).
4*w**2*(w - 1)*(w + 1)/3
Let u(g) = g**2 - 22*g - 168. Let x be u(28). Let l(r) be the second derivative of 1/9*r**3 + 0 + 0*r**4 - 1/30*r**5 - r + x*r**2. Factor l(m).
-2*m*(m - 1)*(m + 1)/3
Factor 22/5*q**3 + 0*q**2 + 0 + 1/5*q**4 + 0*q.
q**3*(q + 22)/5
Let m(l) be the second derivative of l**5/6 - 95*l**4/24 + 15*l**3/2 + 30*l**2 - 9*l - 1. Let o(y) be the first derivative of m(y). Factor o(t).
5*(t - 9)*(2*t - 1)
Let t(j) be the first derivative of -1/7*j**4 - 41 + 0*j**2 - 1/35*j**5 - 4/21*j**3 + 0*j. Factor t(d).
-d**2*(d + 2)**2/7
Let p(j) be the third derivative of -j**6/1080 + j**5/10 - 53*j**2 + 1. Find u, given that p(u) = 0.
0, 54
Let s(m) be the third derivative of -m**9/241920 - m**8/80640 + m**7/10080 - 2*m**5/15 + 14*m**2. Let w(t) be the third derivative of s(t). Factor w(h).
-h*(h - 1)*(h + 2)/4
Let o(f) = f**5 - f**4 - f**2 - 1. Let v(t) = 21*t**5 + 5*t**3 - 34*t**2 + 4*t + 5*t**2 - 5 + 47*t**3 - 53*t**4. Let j(p) = -5*o(p) + v(p). Factor j(n).
4*n*(n - 1)**2*(2*n - 1)**2
Let b(y) be the third derivative of 8*y**2 + 0 - 4/15*y**5 - 2*y**3 - 2*y + 7/6*y**4. Let b(v) = 0. Calculate v.
3/4, 1
Suppose 0 = q - 3*n - 14, 8*q + 18 = 5*q - 3*n. Let f be q - (-10)/(50/33). Factor 12/5*k**3 + 0*k + 16/5 - f*k**2.
4*(k - 2)*(k - 1)*(3*k + 2)/5
Let u(w) be the first derivative of -w**7/21 + 2*w**6/45 + w**5/30 + 10*w - 1. Let p(g) be the first derivative of u(g). Let p(k) = 0. Calculate k.
-1/3, 0, 1
Factor 44/7*h + 12/7*h**3 - 16/7 - 40/7*h**2.
4*(h - 1)**2*(3*h - 4)/7
Factor 18/7*u**3 - 6*u**2 - 12/7 - 2/7*u**4 + 38/7*u.
-2*(u - 6)*(u - 1)**3/7
Suppose 17 = 5*a - 3. Let h be -2*(-112)/(16/a). Find l, given that 3 + 3 + 24*l**2 + 74*l**2 + 2 + h*l = 0.
-2/7
Suppose -2 = q, -i = -q - 2 - 5. Let h(f) be the second derivative of 11/40*f**6 - 21/40*f**i + 0 + 1/8*f**3 - 3/8*f**2 + 3/8*f**4 - 3/56*f**7 - f. Factor h(o).
-3*(o - 1)**4*(3*o + 1)/4
Suppose 0 = -3*r + 6*r - 12. Factor 5*y**3 - 5*y**5 + 2*y**5 - 2*y**5 + 3*y**r + 2*y**4 - 5*y**2.
-5*y**2*(y - 1)**2*(y + 1)
Let v(j) = -2*j**4 - j**3 + j**2 - 1. Let x(t) = 7*t**4 - 29*t**3 - 76*t**2 - 40*t + 6. Let l(q) = -6*v(q) - x(q). Factor l(p).
5*p*(p + 1)*(p + 2)*(p + 4)
Suppose t + 5 = 2*c, -2*c + 3*t = -15 - 0. Let s(x) be the second derivative of 2*x**2 + 1/6*x**4 + c + 7*x - x**3. Find p, given that s(p) = 0.
1, 2
Let v = -15 - -14. Let o be 6/v*6/(-18). What is a in 3*a**3 + o*a**2 + a**4 - 19*a + 19*a = 0?
-2, -1, 0
Let h = -6919/12 + 1732/3. Suppose -h*d**3 - 9*d + 6 + 9/2*d**2 = 0. What is d?
2
Let u(y) be the second derivative of y**7/1050 - y**5/100 + y**4/60 + 6*y**2 + 6*y. Let s(z) be the first derivative of u(z). What is q in s(q) = 0?
-2, 0, 1
Factor 276*d - 64*d**4 + 60*d**4 + 684*d + 64*d**3 - 376*d**2 - 900.
-4*(d - 5)**2*(d - 3)**2
Let q(s) be the third derivative of -s**7/4410 - s**6/210 - 3*s**5/70 + 7*s**4/24 - 16*s**2. Let w(i) be the second derivative of q(i). Solve w(u) = 0 for u.
-3
Solve -7/9*z**4 - 4/9 + 10/3*z**3 + 8/3*z - 43/9*z**2 = 0 for z.
2/7, 1, 2
Suppose -2*g + 13 = -3*f + 4, 4*g + 12 = -4*f. Let h(o) be the second derivative of -3*o + g*o**3 + 0*o**2 + 0 - 1/6*o**4. What is p in h(p) = 0?
0
What is a in a**4 + 0 + 0*a - 1/5*a**3 + 1/5*a**5 - a**2 = 0?
-5, -1, 0, 1
Let d(x) be the first derivative of -x**4/2 - 6*x**3 + 10*x**2 - 78. Factor d(h).
-2*h*(h - 1)*(h + 10)
Let i be (5/3 - -1) + -2. Let t = -2798 + 2801. Factor -4/3*b**t + 3*b**2 + 0 - i*b.
-b*(b - 2)*(4*b - 1)/3
Factor 27/5 + 12/5*b + 1/5*b**2.
(b + 3)*(b + 9)/5
Suppose -40*g**3 - 70*g - 9*g**2 - 39*g**2 + 45*g**3 - 17*g**2 = 0. Calculate g.
-1, 0, 14
Find i such that -14/3 + 16/3*i + 4*i**2 - 16/3*i**3 + 2/3*i**4 = 0.
-1, 1, 7
Let g be 9 + (-833)/85 - 112/(-90). Let j(q) be the first derivative of 2 + 1/12*q**4 + g*q**3 + 2/3*q**2 + 0*q. What is d in j(d) = 0?
-2, 0
What is s in 3/5*s - 16/5*s**2 + 17/5*s**3 - 4/5*s**4 + 0 = 0?
0, 1/4, 1, 3
Let v be 83/(-498) - (1523/6 - 1). Let x = v - -1781/7. Determine c so that -4/7 - x*c + 2*c**2 = 0.
-2/7, 1
Determine n, given that 80*n - 12*n**4 + 20*n**4 + 30*n**5 + 13*n**2 - 60*n**3 - 26*n**5 + 3*n**2 = 0.
-5, -1, 0, 2
Let g(y) be the first derivative of -4*y**5 - 8 + 0*y**2 + 4/3*y**3 + 0*y + y**4 + 2*y**6. Factor g(u).
4*u**2*(u - 1)**2*(3*u + 1)
Solve 76/7*c**4 - 2/7*c**5 + 2464*c - 848/7*c**3 + 3136 + 160*c**2 = 0.
-2, 14
Let m(w) be the first derivative of 4/3*w**3 + 3 + 4*w**2 + 4*w. Solve m(s) = 0.
-1
Let q = -1474/9 + 164. Let o(l) be the first derivative of 0*l + q*l**2 - 2 - 1/18*l**4 - 2/27*l**3. Factor o(b).
-2*b*(b - 1)*(b + 2)/9
Let o(z) be the third derivative of z**4/24 + 5*z**3 + 12*z**2. Let p be o(-13). Solve 5*y**3 - 12*y**2 - 4*y**4 - p*y**3 - 12*y + 8*y = 0.
-1, 0
Let g(w) be the third derivative of -w**8/10080 + w**7/2520 + w**5/60 + 9*w**2. Let k(x) be the third derivative of g(x). Factor k(z).
-2*z*(z - 1)
Let x be 3/(-12) + 50/8. Suppose -w + x = w. Find g such that -2*g - 9*g**3 - 3*g**2 + 4*g**2 - w*g**2 + 2 + 11*g**3 = 0.
-1, 1
Let s(b) be the third derivative of 0 - 1/8*b**4 + 0*b - 24*b**2 + 0*b**3 + 1/60*b**5. What is j in s(j) = 0?
0, 3
Suppose -12*r = -4*r - 728. Let s = r + -88. Factor 1/5*f + 0 - 1/5*f**s + 0*f**2.
-f*(f - 1)*(f + 1)/5
Factor 0 - 244/9*s**2 + 2/3*s**3 + 160/9*s.
2*s*(s - 40)*(3*s - 2)/9
Let r be 135/540*(-1 + 1). Let i(b) be the first derivative of -1/4*b**4 - 1/2*b**2 + 2/3*b**3 + r*b - 1. Factor i(q).
-q*(q - 1)**2
Let m be (137/1096)/(3/48). Find g such that 0 + 1/3*g - 1/6*g**m = 0.
0, 2
Suppose -5 = -2*o + y, 3*o - 4*y + 8 = 2*o. Let v = 521 + -1561/3. Suppose -8*s**2 - v*s**4 + 16/3*s + o*s**3 + 0 = 0. Calculate s.
0, 2
Suppose 4*a - 753 = -173. Let h = 149 - a. Determine o so that 1/7*o**5 + 1/7 + 2/7*o**2 + 2/7*o**3 - 3/7*o - 3/7*o**h = 0.
-1, 1
Let v be 4/72*(6/(-15) + 1). Let o(f) be the third derivative of 0*f + 0 - 5*f**2 - f**3 + v*f**5 + 1/6*f**4. Find k, given that o(k) = 0.
-3, 1
Let h(l) be the second derivative of 0 - 1/3*l**3 + 0*l**4 + 0*l**2 + 1/5*l**5 + l - 1/21*l**7 + 0*l**6. What is y in h(y) = 0?
-1, 0, 1
Let p = 1/241 - -703/4820. Let j(f) be the second derivative of 3/100*f**5 - 6/5*f**2 + p*f**4 + 0 - 12*f + 0*f**3. Factor j(r).
3*(r - 1)*(r + 2)**2/5
Let j(m) be the second derivative of m**6/300 - 7*m**5/300 - m**4/10 - 7*m**3/3 - 10*m. Let v(g) be the second derivative of j(g). Let v(f) = 0. Calculate f.
-2/3, 3
Let i be (-16)/(-28)*(-1 - (-15)/10). Let c(r) be the second derivative of -1/70*r**5 + 0 + 1/21*r**3 - 1/21*r**4 - 3*r + i*r**2. Find q, given that c(q) = 0.
-2, -1, 1
What is z in -260*z**3 - 330 + 132*z**2 + 495*z**3 - 1001*z - 667*z**2 + 93*z + 25*z**4 - 167*z = 0?
-11, -1, -2/5, 3
Let d(j) be the first derivative of 2/9*j**3 + 17/9*j**2 - 16 - 4/3*j. Factor d(t).
2*(t + 6)*(3*t - 1)/9
Let d be (7 + -1 + 2)/2. Let o(q) = q**3 - 5*q**2 + 5*q + 1. Let f be o(d). Factor -5 + f + p**4 - p**3.
p**3*(p - 1)
Let 4/7*k**4 + 324/7*k**2 - 160/7*k - 24*k**3 + 0 = 0. Calculate k.
0, 1, 40
Let -2*c**2 - 44*c - 1 + 291*c + 1 - c = 0. What is c?
0, 123
Let t = 1903 + -1901. Let r(u) be the second derivative of -1/24*u**4 + 0 + 7*u + 0*u**t - 1/80*u**5 + 1/120*u**6 + 0*u**3. Determine f so that r(f) = 0.
-1, 0, 2
Let d = 2 + 3. Suppose 3*c - d = 7. Find p, given that -15*p**c + 21*p**3 - 5*p**2 + 3*p**2 + 3*p**2 - 7*p**2 = 0.
0, 2/5, 1
Suppose -3*l + 4*t - 11 = 0, -2*l - 3*t + 24 = l. Factor l*d**2 + 0*d**2 + d + 2*d.
3*d*(d + 1)
Let x = -29333 - -351997/12. Solve 2/3*c + x*c