rivative of -p**4/38 + 244*p**3/57 - 4505*p**2/19 + 89888*p/19 + 2801. Solve n(y) = 0.
16, 53
Find l such that 23/4*l**2 + 0 + 1/4*l**4 + 25/2*l - 13/2*l**3 = 0.
-1, 0, 2, 25
Let m be (-15)/((-2 - 1)/(11 + -19)). Let p be (11/132)/((-1)/m). Factor u + 0 - p*u**2 + 1/3*u**5 + 4*u**3 - 2*u**4.
u*(u - 3)*(u - 1)**3/3
Let o(h) be the second derivative of -h**4/66 + 17*h**3/11 + 162*h**2/11 + 10*h + 212. Find g, given that o(g) = 0.
-3, 54
Determine v so that 10*v + 0 + 1/4*v**4 + 11/4*v**3 + 19/2*v**2 = 0.
-5, -4, -2, 0
Suppose -7*t - 12*t = -47 - 105. Let h(u) be the first derivative of -t - 7/4*u**4 + 8*u - 18*u**2 + 10*u**3. Suppose h(z) = 0. What is z?
2/7, 2
Let v(s) be the second derivative of -5/12*s**4 + 1/30*s**6 + 1/2*s**3 + 0 + 98*s + 1/20*s**5 + 0*s**2. Suppose v(j) = 0. What is j?
-3, 0, 1
Let i(h) be the first derivative of -h**6/4 - 651*h**5/5 - 141267*h**4/8 - 9815. Solve i(w) = 0 for w.
-217, 0
Suppose 320/3*u + 18*u**4 + 352/3 - 16*u**3 - 368/3*u**2 = 0. Calculate u.
-22/9, -2/3, 2
Let z(k) be the third derivative of -k**6/320 + 77*k**5/160 + 245*k**4/32 + 83*k**3/2 + 922*k**2 - 3*k. Factor z(c).
-3*(c - 83)*(c + 2)*(c + 4)/8
Let d be 8/(-6)*(-2)/16. Suppose -3*a + 1 = 2*s - 16, 21 = 3*a + 3*s. Factor 1/6 - d*h**4 + 0*h**2 + 1/3*h**a - 1/3*h.
-(h - 1)**3*(h + 1)/6
Let r(k) = -k**2 - k - 36 + 0*k + 2*k + 69. Let z be r(6). Determine y so that 248*y**z + 12 - 246*y**3 + 0*y + 2*y - 8*y**2 = 0.
-1, 2, 3
Let y(t) = -117*t**3 + 412*t**2 - 314*t + 41. Let l(x) = 23*x**3 - 82*x**2 + 63*x - 8. Let n(v) = 11*l(v) + 2*y(v). Suppose n(q) = 0. Calculate q.
2/19, 1, 3
Suppose -300490*c - 604677*c - 257461*c**2 - 5*c**4 - 1255034*c**2 + 5505*c**3 - 612838*c = 0. What is c?
-1, 0, 551
Suppose 3*i - 47 = s, -i = -2*i + 2*s + 19. Let x be 16/(-10)*i/(-9). What is q in -2*q + 2*q**3 - 2/3*q**4 + 10/3*q**2 - x = 0?
-1, 1, 4
Suppose 397*o - 391*o = 6990. Suppose 1159*p = o*p. Factor p + 1024/7*c - 384/7*c**2 + 48/7*c**3 - 2/7*c**4.
-2*c*(c - 8)**3/7
Let v(x) = x**3 - 5*x**2 - 8*x + 7. Let r be v(5). Let o = r - -39. Find k such that -2 + 2 + o*k**2 + 3*k**3 - 102*k**4 + 93*k**4 = 0.
-2/3, 0, 1
Suppose 18 = 3*a, 155*v - 156*v - 2*a + 11 = -3. Factor -1/5 + 13/5*f - 49/5*f**3 - 7*f**v.
-(f + 1)*(7*f - 1)**2/5
Let k(g) be the second derivative of 1/20*g**5 + 7*g + 0 + 5/24*g**4 + 0*g**2 + 1/360*g**6 - 6*g**3. Let z(t) be the second derivative of k(t). Factor z(o).
(o + 1)*(o + 5)
Factor -82*n - n**3 - 105*n + 33*n**2 - 10*n - 49*n + 368.
-(n - 23)*(n - 8)*(n - 2)
Let v(s) = 6*s**4 + 3*s**3 - 9*s**2 - s + 5. Let x(z) = 155*z - 155*z - z**3 - z**5 - z**4 - z**2. Let u(f) = 5*v(f) + 5*x(f). Determine k so that u(k) = 0.
-1, 1, 5
Let o = -2880134/3 + 960050. Solve 16/3*v**3 - v**2 + 7/3*v**4 - 4/3 - o*v = 0.
-2, -1, -2/7, 1
Let y be (-32)/280*(-30)/4. Let n be 16/((-320)/(-84)) - (-3)/(-15). Find j, given that -y*j**3 + 0 + 3/7*j**n - 3/7*j**2 + 6/7*j = 0.
-1, 0, 1, 2
Suppose 4*v - 35 = -5*h + 2*h, -2*v - 15 = -5*h. Suppose a - 5*z = 2*a - 22, -h*a = -2*z - 137. Factor i - 22*i - a*i - 49 + 4*i**2 + 193.
4*(i - 6)**2
Let h(o) be the third derivative of 1/110*o**6 - 1/385*o**7 - 36*o**2 - 7/44*o**4 + 0*o - 1/1848*o**8 + 1/33*o**5 + 2 + 3/11*o**3. Solve h(z) = 0 for z.
-3, 1
Solve 14*z - 1449*z**2 - 164*z + 155 + 1444*z**2 = 0 for z.
-31, 1
Let x be (-324)/36*(-2 - -13)/(-1). Determine s, given that -32 + x*s - 77*s**2 - 319*s - 287*s**2 + 36*s**3 + 13*s**3 = 0.
-2/7, 8
Let m(d) be the third derivative of d**6/60 + 79*d**5/210 + 95*d**4/42 + 16*d**3/7 + 11*d**2 + 5*d. Solve m(t) = 0 for t.
-8, -3, -2/7
Let f(y) be the third derivative of 11/360*y**5 - 1/3*y**3 - 1/18*y**4 + 0*y + 86*y**2 + 1/90*y**6 + 0 + 1/1260*y**7. Suppose f(d) = 0. Calculate d.
-6, -2, -1, 1
Solve -84/5*k**3 - 2*k**4 - 16*k + 0 + 2/5*k**5 - 152/5*k**2 = 0.
-2, -1, 0, 10
Let x be (-55)/(-165)*1/(-1)*0. Let g(c) be the third derivative of 1/264*c**4 + 0*c + x - 12*c**2 + 0*c**3 + 0*c**5 - 1/1320*c**6. Solve g(s) = 0 for s.
-1, 0, 1
Let d(m) be the second derivative of 0 + 1/60*m**6 + 26*m - 1/42*m**7 + 1/20*m**5 - 1/24*m**4 + 0*m**3 + 0*m**2. Suppose d(z) = 0. What is z?
-1, 0, 1/2, 1
Suppose 28 + 5 = 11*p. Determine d, given that 30*d**2 + 45*d - 168 + 63*d + 3*d**4 - 116*d**p + 41*d**3 + 48*d**3 = 0.
-2, 2, 7
Suppose -133 + 132 = -g. Let m(t) = 2*t**2 - t - 2. Let l(n) = 6*n**2 - 677*n - 28234. Let y(x) = g*l(x) - 5*m(x). Factor y(d).
-4*(d + 84)**2
Let m = 642488 + -642485. Solve -1/8*w**4 - 3/4*w**m + 3/4*w - w**2 + 9/8 = 0 for w.
-3, -1, 1
Let b be 2/(-4) + 22/28. Suppose -2*q = 2*p + 52, 277*p - 276*p = -2*q - 5*q - 182. Factor 2/7*o**5 - 4/7*o**3 + b*o + 0*o**4 + 0 + p*o**2.
2*o*(o - 1)**2*(o + 1)**2/7
Let l = 104 + -102. Factor -4*q**3 + 13*q**l + 17*q**2 + 9*q**3 + 40*q.
5*q*(q + 2)*(q + 4)
Factor 3/2*w**4 + 0 + 15/2*w**3 - 3/2*w**2 - 15/2*w.
3*w*(w - 1)*(w + 1)*(w + 5)/2
Factor 30/11*q + 2/11*q**2 + 52/11.
2*(q + 2)*(q + 13)/11
Suppose -4*j = -60, -2*g = -5*j - 7145 + 7216. Factor -46/5*v**g + 10*v - 18/5 + 14/5*v**3.
2*(v - 1)**2*(7*v - 9)/5
Let q(l) be the third derivative of l**8/168 - 7*l**7/15 + 38*l**6/3 - 120*l**5 + 28*l**2 + 96. Factor q(t).
2*t**2*(t - 20)**2*(t - 9)
Let c = 135559 + -135557. Determine t so that 120/7*t + 3/7*t**3 + 33/7*t**c + 144/7 = 0.
-4, -3
Let w(a) be the third derivative of -3/28*a**4 + 2*a**2 + 2/21*a**3 + 2/35*a**5 + 0 - 1/84*a**6 - 12*a. Factor w(t).
-2*(t - 1)**2*(5*t - 2)/7
Let j be ((-49)/(-2))/(10/40). Suppose j = 5*q - 52. Solve q + 0*m**2 + 0*m - 5*m**2 + 8*m**2 - 33*m = 0.
1, 10
Let -50/23*u**5 + 2280/23*u**4 - 1302/23*u**3 + 0 + 1440/23*u - 2192/23*u**2 = 0. What is u?
-1, 0, 4/5, 45
Let h = -993 - -1455. Factor 928*f + 4*f**2 + f**3 - 465*f - h*f - 6.
(f - 1)*(f + 2)*(f + 3)
Let a = -8364/349 - -2705521/8027. Let u = -313 + a. Suppose u + 2/23*f**2 + 4/23*f = 0. What is f?
-1
Let q(z) be the first derivative of -2*z**5/5 + 5*z**4 + 38*z**3/3 - 76*z**2 - 264*z + 1158. Solve q(j) = 0.
-2, 3, 11
Let q be 8/((-10)/((-760)/57)). Factor q - 2/3*x**2 + 10*x.
-2*(x - 16)*(x + 1)/3
Let t(l) = 16*l**2 - 5093*l - 5296. Let f(a) = -4*a**2 + 1276*a + 1324. Let x(s) = -17*f(s) - 4*t(s). Let x(z) = 0. Calculate z.
-1, 331
Let g be (-156)/(-975) + 40/(-250). Solve 2/5*a**3 + g + 2/5*a**4 + 0*a + 0*a**2 = 0.
-1, 0
Let j(z) be the second derivative of 0*z**2 + 1/4*z**4 - 5 + 7*z - 10*z**3. Factor j(b).
3*b*(b - 20)
Suppose 2*z - 42 = -34. Suppose s = -3*s - 4*k + z, -23 = -2*s + 5*k. Suppose 86*d**4 + 2*d + 4*d**2 - s*d**3 + 2*d**5 - 12*d**2 + 4 - 82*d**4 = 0. Calculate d.
-2, -1, 1
What is c in 2*c**3 + 128*c**4 - 350*c**2 - c + 175 - 291*c**4 + 165*c**4 + 173*c**4 - c**5 = 0?
-1, 1, 175
Let j(z) = 2*z**3 + 7*z - 2*z**3 - z**4 + 3*z**5 - 4*z**2. Suppose 0 = -15*r + 374 - 404. Let q(d) = -d**5 + d**4 - d. Let f(p) = r*j(p) - 10*q(p). Factor f(v).
4*v*(v - 1)**3*(v + 1)
Let f(c) be the first derivative of -13*c**3/3 + 51*c**2 + 16*c + 1586. Determine g so that f(g) = 0.
-2/13, 8
Let i be 1 + 5/2 + 1. Let y be -6*1/(-111) + -7 + (-23465)/(-1924). Factor -i*j - y + 3/4*j**2.
3*(j - 7)*(j + 1)/4
Determine a, given that -647*a**3 + 835*a**5 - 2529*a**5 + 190*a**4 - 103*a**3 + 842*a**5 + 210 + 837*a**5 + 1200*a**2 - 835*a = 0.
2/3, 1, 3, 7
Let s(i) = i**3 + 10*i**2 + 6*i + 29. Let d be s(-9). Let c = 61 - d. Let -9*a**2 + 7*a**3 + 5*a - 5 - 1 - a**4 + c - a**4 = 0. Calculate a.
1/2, 1
Let h(q) be the second derivative of q**7/56 + q**6/8 - 33*q**5/20 + 4*q**4 + 4*q**3 - 30*q**2 - 12*q - 59. What is w in h(w) = 0?
-10, -1, 2
Let f be (-392)/(-70) - 5 - 76097/(-55). Let m = -1384 + f. Factor 2/11*v**4 + 4/11*v - 4/11*v**3 - m + 0*v**2.
2*(v - 1)**3*(v + 1)/11
Suppose 7191 = 34*j - 2499. Let n = j + -283. Let 0 + 4/5*b**3 - 2*b**4 - 4/5*b + n*b**2 = 0. Calculate b.
-1, 0, 2/5, 1
Solve 41/3*l - 452/3*l**2 + 482*l**3 + 0 + 25/3*l**5 - 1060/3*l**4 = 0.
0, 1/5, 1, 41
Suppose 0 = 2*f - 27673*p + 27677*p - 1040, 3*f - 3*p = 1524. Factor 1/2*h**2 + f + 32*h.
(h + 32)**2/2
Let z be 1/((-6 + 14)/(-16)). Let u be 88/(-24) - 10/z. Factor -u*v**3 - 4/3*v**5 + 8/3*v**4 + 0*v**2 + 0 + 0*v.
-4*v**3*(v - 1)**2/3
Let h(d) be the first derivative of d**3/15 + 8*d**2/5 + 63*d/5 - 147. Solve h(b) = 0 for b.
-9, -7
Let p(a) be the third derivative of a**7/210 + 4*a**6/15 + a**5