*t + 0 + 5/3*t**4 - 25/3*t**q + 10*t**2 = 0.
0, 2, 3
Let j(u) be the first derivative of u**5/12 + 5*u**4/8 + 7*u**2 + 3*u + 57. Let y(x) be the second derivative of j(x). Factor y(i).
5*i*(i + 3)
Let r(q) be the third derivative of q**6/40 - 247*q**5/20 - 31*q**4 + 38*q**2 + 35. Suppose r(c) = 0. What is c?
-1, 0, 248
Factor 9*f**3 + 21/2*f**2 + 210 + 1/2*f**4 - 166*f.
(f - 2)**2*(f + 7)*(f + 15)/2
Let v(h) be the first derivative of 63 + 0*h + 4/3*h**3 - 34*h**2. Suppose v(g) = 0. What is g?
0, 17
Let a(j) be the second derivative of 0 + 1/5*j**5 - 4/3*j**4 + 10/3*j**3 - 4*j**2 + 57*j. Factor a(d).
4*(d - 2)*(d - 1)**2
Let f = 87 + -112. Let k(b) = b**2 + b - 1. Let o(u) = -30*u**2 - 50*u + 55. Let z(h) = f*k(h) - o(h). Determine t so that z(t) = 0.
-6, 1
Let r(z) be the third derivative of 0*z - 5*z**2 - 1 - 1/10*z**6 + 1/280*z**7 + 1/2*z**4 + 17/8*z**3 - 9/40*z**5. Solve r(f) = 0.
-1, 1, 17
Let h(t) be the first derivative of t**6/12 + 22*t**5/15 - 5*t**4/6 - 37*t**3/9 + 17*t**2/12 + 5*t + 579. Suppose h(r) = 0. What is r?
-15, -1, -2/3, 1
Let k(q) = -4*q + 3. Let z be k(-1). Let v be 14/z + (-20)/11. Factor -v*t**2 - 2/11 - 4/11*t.
-2*(t + 1)**2/11
Suppose 3*y + 3 = 4*l, 3*y + 4*l - 21 + 0 = 0. Let v = 3413/2919 - 428/417. Factor -6/7*h**2 - 8/7*h**y + 0 - v*h.
-h*(2*h + 1)*(4*h + 1)/7
Let s(y) be the first derivative of -45/4*y**4 + 60 + 100*y**3 + 30*y - 185/2*y**2. Determine u, given that s(u) = 0.
1/3, 6
Let g(d) be the first derivative of 16/3*d**2 - 10*d**4 + 0*d + 14/9*d**6 + 80/9*d**3 - 66 - 4/3*d**5. Let g(z) = 0. Calculate z.
-2, -2/7, 0, 1, 2
Let r(h) = 2 - 8*h**2 + 4*h**2 + 3*h**2 - 3 + 2*h. Let t(m) = -3*m**2 - 32*m - 326. Let v(q) = -2*r(q) + t(q). Factor v(i).
-(i + 18)**2
Suppose -2*g - 105 + 105 = 0. Factor g*t + 8*t - 6*t + 3*t**2 + 16*t.
3*t*(t + 6)
Let z(p) be the second derivative of -p**6/180 - p**5/8 + 17*p**4/72 + 5*p**3/12 - 4*p**2/3 + 19*p - 2. Factor z(a).
-(a - 1)**2*(a + 1)*(a + 16)/6
Let o be 883*((-24)/(-120))/(1/10). Suppose -o = -z - 1763. What is c in -9/7*c + 0 + 3/7*c**4 - 3/7*c**z - 15/7*c**2 = 0?
-1, 0, 3
Let j(a) be the first derivative of 6*a - 1/8*a**4 + 23/4*a**2 + 107 + 5/3*a**3. Factor j(p).
-(p - 12)*(p + 1)**2/2
Let l(g) be the first derivative of 5*g**4/12 + 20*g**3/3 + 40*g**2 - 157*g - 150. Let w(z) be the first derivative of l(z). Factor w(q).
5*(q + 4)**2
Let o = 318635 - 318635. Factor -1/7*y**4 + 15/7*y + 9/7*y**3 + o - 23/7*y**2.
-y*(y - 5)*(y - 3)*(y - 1)/7
Let w = 61647 + -61643. Factor 13/5*l**3 - 57/5*l**2 + 19*l - 10 - 1/5*l**w.
-(l - 5)**2*(l - 2)*(l - 1)/5
Let c be 3 + 42/((-90)/(-15)) + -6. Solve -q**c - 4*q - 1 + 11/4*q**3 + 3/4*q**2 = 0 for q.
-1, -1/4, 2
Suppose 12*q**3 - 648/5*q**2 - 5184/5 + 3024/5*q - 2/5*q**4 = 0. Calculate q.
6, 12
Let p(z) = z**3 - 23*z**2 + 23*z + 14. Let v be p(22). Factor -40*r**3 - 109*r**4 + v*r + 4*r**2 + 20 + 97*r**4 + 0*r**2 + 4*r**5 - 12*r**2.
4*(r - 5)*(r - 1)*(r + 1)**3
Let k = 11476 + -114759/10. Let o(f) be the first derivative of 0*f + 2/15*f**3 - k*f**2 - 31 + 3/20*f**4. Suppose o(j) = 0. Calculate j.
-1, 0, 1/3
Let s(l) = -264 + 27*l - 3*l - 5*l - 2*l + 5*l. Let g be s(12). Factor 1/6*y**4 - 1/6*y**3 + g + 0*y + 0*y**2.
y**3*(y - 1)/6
Factor 39200/9 + 2/9*v**2 + 560/9*v.
2*(v + 140)**2/9
Let q(j) be the second derivative of -4*j**5/5 + 533*j**4/3 - 266*j**3/3 + 440*j. Determine p so that q(p) = 0.
0, 1/4, 133
Let l(z) = 14*z**3 + 28*z**2 - 73*z + 31. Let a(u) be the first derivative of -u**4/2 + u**2/2 + u + 141. Let y(o) = 5*a(o) + l(o). Factor y(n).
4*(n - 1)**2*(n + 9)
Let i = 241657/3 + -80551. Factor 16/3*o - 2/3*o**3 - i*o**2 + 0.
-2*o*(o - 2)*(o + 4)/3
Let q(a) be the second derivative of 3*a**4 + 28*a**3/3 + 16*a**2 + 75*a. Let i(t) = -t**3 - t + 1. Let d(z) = 4*i(z) - q(z). Find r such that d(r) = 0.
-7, -1
Suppose -d = -2, -3*h + 3*d - 4 = d. Suppose 6*b - 17 - 7 = h. Suppose -33*o + o**4 + 4*o**2 - 4*o**3 + 37*o - 5*o**b = 0. What is o?
-1, 0, 1
Suppose 4 = 128*v - 132*v - 2*n, v = -4*n - 22. Factor 1/9*f**v + 4/9*f + 1/3.
(f + 1)*(f + 3)/9
Let n = 356 - 332. Let f(q) = 28*q**3 + 48*q**2 + 20*q + 24. Let a(k) = -k**3 - k**2 - 2*k - 1. Let i(h) = n*a(h) + f(h). Factor i(c).
4*c*(c - 1)*(c + 7)
Let t be (-4)/(13 + (-345)/25). Let p(n) be the second derivative of 0*n**2 - 1/12*n**t - 5*n + 5/9*n**3 + 5/36*n**4 + 0. Factor p(b).
-5*b*(b - 2)*(b + 1)/3
Let b be ((-2)/77)/((16/(-96))/(520/48 + -9)). Let -b*o**4 + 8/7 - 4/7*o**3 + 16/7*o + 6/7*o**2 = 0. What is o?
-2, -1, 2
Let s(j) be the second derivative of -j**5/12 + 205*j**4/12 - 8405*j**3/6 + 79*j**2 + 34*j - 1. Let m(l) be the first derivative of s(l). Factor m(x).
-5*(x - 41)**2
Let x(j) be the first derivative of -9*j**3/4 + 79*j**2/8 + 3*j/2 - 1919. Let x(a) = 0. Calculate a.
-2/27, 3
Factor -128220*i + 224280*i**2 + 18281 + 16817476*i**3 + 39 - 16817231*i**3.
5*(i + 916)*(7*i - 2)**2
Let f(i) be the second derivative of -i**5/35 + 59*i**4/21 + 640*i**3/21 - i - 1474. Determine j so that f(j) = 0.
-5, 0, 64
Let r = 854570/249 + -3432. Let x = 488/1245 + r. Factor -4/5*u + 0 + x*u**4 - 2*u**2 + 2/5*u**5 - 6/5*u**3.
2*u*(u - 2)*(u + 1)**3/5
Let r(j) = -16*j**4 - 321*j**3 + 500*j**2 - 63*j - 124. Let o(l) = 23*l**4 + 322*l**3 - 501*l**2 + 64*l + 124. Let z(g) = -3*o(g) - 4*r(g). Factor z(w).
-(w - 62)*(w - 1)**2*(5*w + 2)
Let w(x) be the first derivative of 5*x**4 - 5900*x**3/3 - 5915*x**2/2 - 1480*x + 1750. Factor w(o).
5*(o - 296)*(2*o + 1)**2
Suppose -3*w = 5*s - 282 + 236, 4*w - s = 0. Let d(b) be the first derivative of 2/7*b**w + 0*b + 2/21*b**3 + 15. Factor d(p).
2*p*(p + 2)/7
Let p be 2*-64 - 4/(-2). Let z = p - -131. Find d such that -4*d**3 + 18*d**3 - d + 5*d**2 + 0*d - z - 13*d**3 = 0.
-5, -1, 1
Let k(g) be the second derivative of g**6/40 - 3*g**5/40 - 25*g**4/16 + 25*g**3/4 - 1418*g. Factor k(m).
3*m*(m - 5)*(m - 2)*(m + 5)/4
Let t = 36 + -33. Factor -1044*m**3 + 9*m**2 + 1050*m**3 - 9*m**4 - t*m - 3*m.
-3*m*(m - 1)*(m + 1)*(3*m - 2)
Let x(g) be the first derivative of g**4/26 - 20*g**3/39 - 7*g**2 - 160*g/13 - 644. Solve x(l) = 0.
-5, -1, 16
Let l(q) be the second derivative of q**5/20 - q**4/12 - 2*q**3/3 - q**2/2 - 17*q. Let f be l(3). Factor -5*j**2 + 13*j**3 - f*j**4 - 20*j**3 - 3*j**3.
-5*j**2*(j + 1)**2
Let f be (2 - -1) + -24 - (14 + -13). Let p be 190/f - (-9 - 0). Let 0 + p*s**3 + 0*s + 2/11*s**2 + 2/11*s**4 = 0. Calculate s.
-1, 0
Let k(x) = -5*x - 95. Let m be k(-21). Solve -20*f + 30 - 6*f**2 - 3410*f**3 - m + f**2 + 3415*f**3 = 0.
-2, 1, 2
Let u be (8/7)/(3/(42/4)). Suppose u*z + 13 - 29 = 0. Factor 5*c**4 - 8*c**3 + 12*c**2 - 28*c**2 - 2*c**z - 4*c**4.
-c**2*(c + 4)**2
Let l(h) be the third derivative of 0*h - 11/540*h**5 + 1/540*h**6 + 7/27*h**3 + 0 - 23/216*h**4 - 78*h**2. Factor l(f).
(f - 7)*(f + 2)*(2*f - 1)/9
Let r(x) be the first derivative of -1/30*x**5 - 1/2*x**2 - 11/18*x**3 - 1/4*x**4 + 0*x - 10. Determine j, given that r(j) = 0.
-3, -2, -1, 0
What is y in -3*y**3 + 341 + 949 + 67*y**2 - 146*y**2 - 137*y**2 - 801*y - 270 = 0?
-68, -5, 1
Factor 75 + 1/4*c**2 - 65/4*c.
(c - 60)*(c - 5)/4
Let y = -21/347 + 2492/1041. Factor 2/3*b - 5/3*b**4 + 3*b**3 + 0 - y*b**2 + 1/3*b**5.
b*(b - 2)*(b - 1)**3/3
Let l(c) be the second derivative of -c**4/114 + 16*c**3/57 - 912*c. Factor l(x).
-2*x*(x - 16)/19
Let v(z) be the third derivative of -z**6/420 + z**4/12 + 2*z**3/7 - 3*z**2 - 49. Factor v(b).
-2*(b - 3)*(b + 1)*(b + 2)/7
Let o(n) be the third derivative of 17/1155*n**7 + 0 + 0*n**4 - 1/30*n**6 + 0*n + 0*n**3 - 1/616*n**8 + 4/165*n**5 + 63*n**2. Determine c so that o(c) = 0.
0, 2/3, 1, 4
Let f be (8/36)/(12/216). Find u such that -34*u**2 - u**f + 0*u**4 - 15057*u + 19*u**3 + 15057*u = 0.
0, 2, 17
Let x(z) = 13 + 8 + z**4 - 21. Let f(o) = o**4 - 6*o**3 - 13*o**2 - 12*o - 4. Let q(y) = 3*f(y) - 6*x(y). Factor q(d).
-3*(d + 1)**2*(d + 2)**2
Suppose 3325 = 21*y + 112*y. Let o(j) be the first derivative of -4*j**2 - y + 1/2*j**4 + 16*j - 4*j**3 + 2/5*j**5. Determine q so that o(q) = 0.
-2, 1, 2
Let j(k) be the second derivative of k**4/54 - 2096*k**3/27 + 1098304*k**2/9 - 883*k. Factor j(t).
2*(t - 1048)**2/9
Let x(f) be the second derivative of -f**5/30 + 13*f**4/36 - 5*f**3/6 - 6*f - 214. Factor x(p).
-p*(p - 5)*(2*p - 3)/3
Let b(a) be the thi