nd derivative of -77/36*f**4 + 0 + 49/60*f**w - 4*f - 2/3*f**2 + 16/9*f**3. Factor h(k).
(k - 1)*(7*k - 2)**2/3
Let a be 3/4*(-1487 - (-6 - 1)). Let j = -3328/3 - a. Factor 0 + 2/3*r**2 + j*r**3 + 0*r.
2*r**2*(r + 1)/3
Suppose 0 = 19*c - 7*c - 24. Find q, given that c*q**2 - 3*q**2 - 150*q + 620 - 2*q**2 - 2495 + 0*q**2 = 0.
-25
Suppose -3*d - 61 = -4*g - 102, 4*d - 10*g - 92 = 0. Determine p so that -40/9*p**2 + 4/3*p**4 + 26/3*p - 4 - 4/3*p**d - 2/9*p**5 = 0.
-2, 1, 3
Let n = 90 + -19. Suppose -3*b + n = -85. Let -22*f**2 - 5 + b*f**2 - 20*f**2 - 3 - 2*f**4 = 0. What is f?
-2, -1, 1, 2
Let g = 673 + -675. Let l be -4 + (5/g)/((-120)/288). Factor 1/3 - 4/3*d + 4/3*d**l.
(2*d - 1)**2/3
Let v be ((-3751)/(-124) - 29) + 8/((-160)/(-15)). Solve 0 - 31/3*u**v - 1/3*u = 0 for u.
-1/31, 0
Let p be (-22760)/(-30) + 2/(-12). Let d = 759 - p. Factor -3/2*s**3 + 0 - d*s**4 - s**2 + 0*s.
-s**2*(s + 1)*(s + 2)/2
Let c = -63 - -65. Suppose 243 = c*q - q. Factor o + 243*o**2 + 0*o - o**3 - q*o**2.
-o*(o - 1)*(o + 1)
Let m(y) = -y**3 + 14*y**2 - 6*y + 111. Let l be m(14). Let z = -80/3 + l. Factor z*w - 2/3 + 2/3*w**2 - 1/3*w**3.
-(w - 2)*(w - 1)*(w + 1)/3
Let x(o) be the second derivative of o**6/720 - o**5/20 + 4*o**3 + o**2 + 51*o. Let n(a) be the second derivative of x(a). Factor n(z).
z*(z - 12)/2
Let v = 23117/26 + -889. Let f(l) be the second derivative of 0*l**2 + v*l**5 + 0 + 3*l + 0*l**3 - 1/39*l**4. Find c, given that f(c) = 0.
0, 2/15
Let d(t) = 2*t**2 - 1. Let z(w) = 2*w**3 - 62*w**2 + 154*w - 97. Let m(x) = 3*d(x) + z(x). Factor m(y).
2*(y - 25)*(y - 2)*(y - 1)
Let z(x) be the first derivative of 17*x**4/4 - 376*x**3/3 + 22*x**2 + 13769. Factor z(w).
w*(w - 22)*(17*w - 2)
Let k(u) = -6*u**3 + 2828*u**2 + 2790*u - 44. Let c(v) = -v**3 + 404*v**2 + 399*v - 6. Let d(w) = -22*c(w) + 3*k(w). Factor d(r).
4*r*(r - 102)*(r + 1)
Let i(z) = -2*z**2 - 149*z - 1062. Let p be i(-8). Find v, given that 4/7*v**p + 0*v - 1/7*v**3 + 0 = 0.
0, 4
Let b be -3 + ((-149 - -1)/(-4) - 0). Let l = b - 31. Find a, given that 10*a**4 + 4*a**2 - 10*a**4 + 2*a**5 - 7*a**3 + 6*a - a**l - 4 = 0.
-2, -1, 1
Suppose -5*u**2 - 8087646 + 75780*u - 2439359 - 61270*u = 0. What is u?
1451
Let n(k) = 6*k**3 - 26*k**2 - 128*k + 316. Let d(x) = 11*x**3 - 53*x**2 - 256*x + 643. Let i(b) = -4*d(b) + 7*n(b). Let i(u) = 0. Calculate u.
-5, 2, 18
Find x, given that -10*x**2 - 10*x**2 - 7*x**2 - 5*x + 0*x + 4*x = 0.
-1/27, 0
Let v(c) = 2*c**3 + 3*c**2 + 4. Let i be v(6). Suppose 4*m = 8*m - i. Let 55*a + 51*a + 95*a**2 - 15*a**3 - m*a = 0. Calculate a.
0, 1/3, 6
Let x be (-1333)/(-7998)*3/((-3)/(-2)). Let q(u) be the first derivative of -30 + x*u**3 - 4*u - 1/8*u**4 + u**2. Factor q(s).
-(s - 2)**2*(s + 2)/2
Let f(w) be the third derivative of -w**7/630 + 37*w**6/360 - 109*w**5/90 + 28*w**4/9 + 80*w**3/3 + 3*w**2 - 254. Find l, given that f(l) = 0.
-1, 4, 30
Let s(o) be the second derivative of -7*o**5/30 + 31*o**4/18 - 40*o**3/9 + 4*o**2 + 4634*o. What is a in s(a) = 0?
3/7, 2
Let m(u) = 2*u**3 + 2 - u**2 - 7*u**2 - 6*u + 0 - u**3. Let o be m(9). Factor 3*x**3 - 13*x**3 + 2*x**5 + 16*x + o*x**2 + 8 - 2*x**4 - 27*x**2.
2*(x - 2)**2*(x + 1)**3
Suppose 20 = 5*b + 80. Let f be b/9 + 80/15. Factor 3/2*g**3 - 3/2*g**f + 3*g**2 + 0 + 0*g.
-3*g**2*(g - 2)*(g + 1)/2
Suppose 476 = 295*x - 114. Factor 0 - 2/9*a**x - 6*a.
-2*a*(a + 27)/9
Let y = -102 - -109. Let f be 5 - -28*y/(-42). Suppose -f + 1/3*g + 1/3*g**2 - 1/3*g**3 = 0. What is g?
-1, 1
Let p(c) be the second derivative of -c**5/20 - 35*c**4/12 + 6*c**3 - 1869*c + 1. Suppose p(g) = 0. Calculate g.
-36, 0, 1
Let h(g) be the first derivative of g**7/630 - g**6/72 + g**5/20 - 7*g**4/72 + g**3/9 + 35*g**2 - 29. Let t(p) be the second derivative of h(p). Factor t(o).
(o - 2)*(o - 1)**3/3
Let y(q) be the first derivative of 7*q**4/20 + 1516*q**3/5 + 3243*q**2/10 - 1298*q/5 - 3551. Let y(m) = 0. Calculate m.
-649, -1, 2/7
Let a be (-3 - 56/(-20))/(((-208)/10)/13). Determine x so that 0 + 1/4*x - a*x**2 = 0.
0, 2
Let g = -418 + 433. Determine t so that -23 - g*t + 5*t**2 - 2 - 15 - 10 = 0.
-2, 5
Suppose -65*k + 43 = -9 - 78. Suppose -12/5*c**3 + 0 + 9/5*c**4 + 0*c + 4/5*c**k = 0. What is c?
0, 2/3
Let h(f) be the first derivative of f**4/42 + 26*f**3/63 + 32*f**2/21 + 40*f/21 + 1921. Suppose h(k) = 0. Calculate k.
-10, -2, -1
Factor -361*f + 285/2*f**2 + 18*f**3 + 0 + 1/2*f**4.
f*(f - 2)*(f + 19)**2/2
Suppose -74/11*x**3 - 86/11*x**4 + 6/11*x**5 + 0 - 60/11*x + 214/11*x**2 = 0. Calculate x.
-2, 0, 1/3, 1, 15
Let s = 302 - 299. Let r be ((-12)/(-25))/(s/35). Determine o, given that r*o**3 + 0 - 12/5*o**2 - 4*o**4 + 0*o + 4/5*o**5 = 0.
0, 1, 3
Let x = 1/172919 + 2075023/864595. Let -2/15*c**3 + x + 16/15*c**2 - 14/5*c = 0. What is c?
2, 3
Let a(n) = -35*n**3 - 6*n**2 + 56*n - 8. Let k be a(-13). Find r such that -r**2 - r**2 - k*r + 75075*r = 0.
-35, 0
Let w = 124625 - 124623. Solve -1/5*m**w + 8/5 - 7/5*m = 0 for m.
-8, 1
Suppose 14 = 6*g + n, g - 4 = -84*n + 83*n. Let m(f) be the second derivative of 0 + 1/3*f**3 - 42*f + 1/60*f**6 - 1/8*f**4 - 1/20*f**5 + f**g. Factor m(p).
(p - 2)**2*(p + 1)**2/2
Suppose -44*m - 56*m - 121*m = -27*m. Determine d so that 4*d**2 + m*d + 4/7*d**4 + 0 - 32/7*d**3 = 0.
0, 1, 7
Let a(p) be the third derivative of 0*p**3 + 25/12*p**5 + 0*p + 31*p**2 + 0 + 5/24*p**4. Factor a(d).
5*d*(25*d + 1)
Suppose 4*a + 5*l - 28 = 10*l, 0 = 3*a - 4*l - 22. Determine p so that 46 + 234*p + 5*p**a - 11 - 194*p = 0.
-7, -1
Let w be (167/(-5))/((-27)/(-135)). Let d = -1163/7 - w. Find b, given that 9/7*b**2 - 3/7*b**3 + 0 - d*b = 0.
0, 1, 2
Let l = -212 + 252. Suppose -4 = -z, l - 30 = -2*b + 4*z. Factor 1/5*k**b + 0 - 1/5*k**5 + 1/5*k**4 - 1/5*k**2 + 0*k.
-k**2*(k - 1)**2*(k + 1)/5
Let w(z) be the second derivative of z**5/60 + 13*z**4/36 + z**3/3 - 12*z**2 - 18*z - 141. Solve w(b) = 0 for b.
-12, -3, 2
Let s(i) be the third derivative of 0 + 3/112*i**8 + 0*i**3 - 1/50*i**5 - 2*i**2 - 11/200*i**6 - 1/175*i**7 + 0*i**4 - 156*i. Let s(o) = 0. Calculate o.
-2/3, -1/5, 0, 1
Factor -2392*q + 4/5*q**2 + 1788020.
4*(q - 1495)**2/5
Factor -58/3*o + 2/3*o**2 + 136.
2*(o - 17)*(o - 12)/3
Let l(c) = 2*c**2 + 25*c + 1. Let w(b) = -5049*b**2 + 752*b - 40. Let z(a) = 20*l(a) + 5*w(a). Factor z(q).
-5*(71*q - 6)**2
Let l(u) be the first derivative of -u**4/10 - 484*u**3/15 - 15113*u**2/5 - 113288*u/5 + 1387. Let l(c) = 0. What is c?
-119, -4
Determine f, given that 3*f**4 + 2*f**3 - 1237 - 327 - 326*f**2 - 2114*f - f**4 - 229 - 1147 = 0.
-7, -2, 15
Factor 2665*o**4 - 70*o**2 - 30*o + 6*o + 72 + 1434*o**3 - 2667*o**4 - 1410*o**3.
-2*(o - 6)**2*(o - 1)*(o + 1)
Let f(q) be the third derivative of -q**6/90 - 14*q**5/9 - 134*q**4/9 - 176*q**3/3 - 12*q**2 - 202. Suppose f(m) = 0. Calculate m.
-66, -2
Let a(m) be the first derivative of -3*m**5/20 - 141*m**4/4 + 573*m**3/4 - 3*m**2/2 - 573*m + 3451. Determine d so that a(d) = 0.
-191, -1, 2
Let l = 612 + -608. Suppose -l*f + 2*v = -16, 3*f = f - 4*v + 8. Factor 0*u + 1/2*u**2 - 1/4 + 0*u**3 - 1/4*u**f.
-(u - 1)**2*(u + 1)**2/4
Let n(r) = 1466*r - 8794. Let q be n(6). Let i be (-44)/(-117) - (-10)/(-45). Solve i*g**5 + 0*g**q + 0*g**3 - 6/13*g**4 + 0 + 0*g = 0 for g.
0, 3
Let g(x) be the second derivative of -1/90*x**5 + 23/27*x**3 + 4/3*x**2 + 0 + 5/27*x**4 - 166*x. Factor g(b).
-2*(b - 12)*(b + 1)**2/9
Let o(d) = d - 13. Let w be o(13). Suppose -2*g = -5*k + 3*g + 635, 3*k - 2*g - 377 = w. Factor 5*c**3 - 5*c**4 + 59*c**5 + 5*c**2 - k*c**5 + 59*c**5.
-5*c**2*(c - 1)*(c + 1)**2
Let u(c) be the third derivative of 72*c**2 + 0 + 0*c**3 - 5/24*c**6 + 1/42*c**7 + 1/4*c**5 + 0*c + 15/8*c**4. Factor u(q).
5*q*(q - 3)**2*(q + 1)
Let z(t) be the third derivative of -t**6/200 - 41*t**5/25 - 161*t**4/10 - 64*t**3 - 2*t**2 - 15. Suppose z(n) = 0. Calculate n.
-160, -2
Find q such that -11*q + 4*q**5 - 43*q**2 - 4*q**5 - 28*q**5 - 9*q**2 + 36*q**3 + 52*q**4 + 3*q = 0.
-1, -1/7, 0, 1, 2
Suppose g + 4*d + 3 = 0, 5*g - 5*d + 63 = -2. Let x(p) = -p - 6. Let y be x(g). Let 4*s - 8*s**2 - 10*s**3 - y + 2*s**3 + 4*s**5 + 4*s**4 + 9 = 0. Calculate s.
-1, 1
Let r(d) be the second derivative of -d**6/6 - 217*d**5/2 - 77755*d**4/4 + 236530*d**3/3 - 118810*d**2 + d + 2133. Factor r(a).
-5*(a - 1)**2*(a + 218)**2
Let k = 6118 - 