/120 - 71*n**3/60 - 33*n**2 + 10465*n. Determine p, given that g(p) = 0.
-60, -11
Solve 7*b**3 - 12*b**2 - 7977*b**5 + 2*b**3 + 12*b**4 - 12*b + 7980*b**5 = 0.
-2, -1, 0, 1
Let f(i) be the third derivative of i**5/330 + 8*i**4/33 + 52*i**3/11 - 33*i**2 - 31. Let f(y) = 0. Calculate y.
-26, -6
Suppose -98*y = -149*y + 102. Let i(q) be the first derivative of -2/3*q**3 - 1/2*q**4 + 14 + 8*q**y + 24*q. Factor i(b).
-2*(b - 3)*(b + 2)**2
Factor -772/3*f - 2/9*f**2 - 74498.
-2*(f + 579)**2/9
Let x(b) = 2*b**3 - 4*b**2 + 2*b - 12. Let w be x(5). Factor 45*q**2 + 3*q**2 - w*q**4 + 28*q**3 + 152*q**4.
4*q**2*(q + 3)*(q + 4)
Factor 4*s + 1530 + 10*s + 36*s + 22*s - 95*s**2 + 93*s**2.
-2*(s - 51)*(s + 15)
Let h(g) be the first derivative of -g**4/2 - 862*g**3/3 - 430*g**2 - 1265. What is u in h(u) = 0?
-430, -1, 0
Let c(o) = 2*o**4 - 11*o**3 + 6*o**2 - 3. Let t(l) = 14*l**4 - 78*l**3 + 42*l**2 - 22. Let n(i) = 44*c(i) - 6*t(i). Determine x so that n(x) = 0.
0, 1, 3
Let y = -9815090/11 - -890651. Let u = y + 1631. Determine s, given that -2/11*s**3 + 4/11*s**4 + 14/11*s - u*s**2 - 4/11 = 0.
-2, 1/2, 1
Let v be 2/((26/819)/((-6)/(-14))). Suppose -43*o + v*o = 0. Factor -3/8*s**3 - 3/4*s**2 + 0*s + o + 3/8*s**4.
3*s**2*(s - 2)*(s + 1)/8
Let o(g) be the first derivative of g**3 + 63*g**2/2 + 60*g - 558. Factor o(h).
3*(h + 1)*(h + 20)
Let h(t) be the first derivative of -t**3/18 - 1213*t**2/3 - 2942738*t/3 + 12483. Suppose h(m) = 0. Calculate m.
-2426
Let h(i) be the second derivative of 2/21*i**7 - 2 - 2/3*i**6 + 11*i + 4/5*i**5 + 0*i**4 + 0*i**3 + 0*i**2. What is u in h(u) = 0?
0, 1, 4
Let a(c) be the first derivative of -c**4/4 + 7*c**3 - 58*c**2 + 156*c + 695. Factor a(t).
-(t - 13)*(t - 6)*(t - 2)
Suppose -50*i + 6324 = 136*i. Let k(n) be the first derivative of -1/4*n**4 - i + 7/6*n**2 - n + 7/9*n**3. Let k(m) = 0. What is m?
-1, 1/3, 3
Suppose 4*w = -4*d, -6*w = 3*d - 2*w + 2. Let v be (6 - 7)/(d/(-10)). Factor 4 + 6*r - 26 + 14*r - v*r**2 + 2.
-5*(r - 2)**2
Let 231/5*l - 1656/5 - 3/5*l**2 = 0. Calculate l.
8, 69
Let k(u) be the third derivative of -11*u**5/150 + 133*u**4/60 - 44*u**3/5 - u**2 + 589. Solve k(b) = 0.
12/11, 11
Suppose 50*s = -2552 + 2552. Let d(c) be the first derivative of s*c + 0*c**2 - 1/10*c**5 - 1/36*c**6 - 17 - 1/8*c**4 - 1/18*c**3. What is y in d(y) = 0?
-1, 0
Let w be ((-210)/(-4))/(-1)*8580/(-4004). Solve -15*z + w + 1/2*z**2 = 0 for z.
15
Determine r, given that 512 - 305 - 31*r**2 + 4*r**2 + 1237*r + 375 - 3850*r = 0.
-97, 2/9
Let k(q) be the third derivative of q**7/63 - 67*q**6/60 - 169*q**5/90 + 67*q**4/12 + 164*q**3/9 + 15*q**2 - 3*q + 1. Determine z, given that k(z) = 0.
-1, -4/5, 1, 41
Let s(q) = 4*q + 4. Let j be s(-2). Let l be 5*2/(-8)*j. Determine z so that 4*z**5 + 3*z**3 - 8*z**2 - 4*z + 7*z**4 - 9*z**l + 7*z**5 = 0.
-2, -1/2, 0, 1
Let j(g) be the third derivative of g**8/1008 + 16*g**7/105 + g**6/4 - 118*g**5/45 + 95*g**4/24 - 323*g**2 + 2. Solve j(p) = 0.
-95, -3, 0, 1
Suppose 0 = -5*i - 0*l + 3*l + 14, 0 = -2*i + l + 5. Let m(y) = -y**2 - y. Let h(o) = 7*o**2 - 14*o - 21. Let t(w) = i*h(w) + 4*m(w). Let t(f) = 0. What is f?
-1, 7
Factor -1905/4*t**2 + 477/2*t**3 + 238*t - 1/4*t**4 + 0.
-t*(t - 952)*(t - 1)**2/4
Suppose -2*u = -4*q, 4*q + 268*u = 264*u + 24. Let z(j) be the third derivative of -11*j**q + 0*j + 1/96*j**5 - 17/192*j**4 + 1/8*j**3 + 0. Factor z(m).
(m - 3)*(5*m - 2)/8
Let g(t) be the first derivative of -45 - 36*t - 4/3*t**3 - 20*t**2. Solve g(r) = 0 for r.
-9, -1
Let h(o) be the first derivative of 27 - 4/3*o**3 - 20*o - 12*o**2. Let h(r) = 0. Calculate r.
-5, -1
Let w(r) = 35*r**2 + 5*r - 24. Let h be w(3). Factor h*f**2 + 170428 - 52516 + 499*f - 10903*f - 3*f**3.
-3*(f - 34)**3
Let d(q) be the third derivative of -q**5/630 + 19*q**4/42 - 113*q**3/63 + 899*q**2 + q. Factor d(c).
-2*(c - 113)*(c - 1)/21
Solve -3087*w - w**2 - 906334 + 492*w - 2542115 - 1119*w = 0 for w.
-1857
Let 318/17 - 2/17*x - 318/17*x**2 + 2/17*x**3 = 0. What is x?
-1, 1, 159
Let u(g) be the second derivative of g**5/5 - 146*g**4/3 + 190*g**3 + 864*g**2 - 6*g - 194. Factor u(r).
4*(r - 144)*(r - 3)*(r + 1)
Let d be (1/(-2))/((-1859)/(-264) + -7). Let j be (-3)/63 - ((-20)/d)/(-5). Factor -4/7 + 2/7*s + j*s**2.
2*(s - 1)*(s + 2)/7
Factor -767*w - 1/4*w**2 - 588289.
-(w + 1534)**2/4
Suppose -5*d + 3*c = -172, 3*d - 4*c - 2163 = -2051. Let -2681/2*x**4 + d - 735/4*x**5 - 448*x + 1842*x**2 - 1933*x**3 = 0. Calculate x.
-4, 2/15, 2/7
Suppose 0 = -5*k + 8*k - 6. Find x such that k*x**2 - x**2 + x**2 - 16 - 4*x**3 + 10*x**2 = 0.
-1, 2
Let g(w) = -w**3 + 7*w**2 + w. Let q be g(7). Let i(z) be the first derivative of -q + 288*z**2 + 3/4*z**4 + 1536*z + 24*z**3. Solve i(u) = 0 for u.
-8
Let f(r) be the second derivative of -5*r**5/78 - 35*r**4/78 - 49*r**3/39 - 37*r**2 + r - 6. Let b(l) be the first derivative of f(l). Let b(s) = 0. What is s?
-7/5
Determine p so that 6*p**2 + 18*p**3 + 4/3*p**4 - 110/3*p - 26 = 0.
-13, -1, 3/2
Let o(x) be the second derivative of x**6/360 + 2*x**5/45 + 7*x**4/24 + x**3 + 35*x**2 + 10*x + 1. Let d(v) be the first derivative of o(v). Solve d(c) = 0.
-3, -2
Let y(x) be the third derivative of 0*x**3 + 0*x + 0 + 1/30*x**5 - 33*x**2 - 5/2*x**4. Solve y(h) = 0.
0, 30
Let z = 3302 + -4216656/1277. Let m = 5090/11493 - z. Solve m - 2/3*h + 2/9*h**2 = 0 for h.
1, 2
Let p be ((-15)/45)/((-1)/4*(-88)/(-6)). Let h(u) be the second derivative of 1/165*u**6 + p*u**4 - 21*u - 4/33*u**3 + 0 + 1/22*u**5 - 8/11*u**2. Factor h(c).
2*(c - 1)*(c + 2)**3/11
Suppose -5*m = -2*u - 2625, u = m - 4*u - 525. What is j in 50*j**4 - 88*j**4 + m*j**3 - 207*j**4 + 350*j**3 - 440*j**2 + 60*j = 0?
0, 2/7, 3
Let c be (-9)/(-15) + (-294)/(-10). Suppose 0 = -2*r - 4*p + 56, 2*r + 3*p = r + c. Find g, given that -115*g**2 + 40 - r*g + 0*g + 111*g**2 - 12 = 0.
-7, 1
Find x, given that -580/3*x + 0 - 2/9*x**2 = 0.
-870, 0
Let u = 20298/7 + -101406/35. Determine s so that -8/5*s**4 + 0 - 2*s + u*s**3 + 8/5*s**2 - 2/5*s**5 = 0.
-5, -1, 0, 1
Let g = -4 + 8. Suppose -g*a + i = -0*i - 142, i = -2*a + 68. Factor 12 - 19*t + 45*t - a*t - 3*t**2.
-3*(t - 1)*(t + 4)
Let o = -460 + 477. Let r be o/34 + (-5)/(-2). Find l such that -32/5 - 48/5*l + 10*l**r + 6*l**2 = 0.
-4/5, 1
Let v = -1/90588 + -43814395/90588. Let d = -483 - v. Let 0 + d*o**3 - 2/3*o + 0*o**2 = 0. What is o?
-1, 0, 1
Let a(j) be the third derivative of 0*j**4 + 0 + 0*j**3 - 3/70*j**5 - 11/280*j**6 + 1/784*j**8 - 2/245*j**7 - 19*j - 3*j**2. Suppose a(n) = 0. What is n?
-1, 0, 6
Let c = 12683/5 + -2535. Let w be 0 + 7 + 264/(-40). Find z such that c*z - 2/5*z**3 + 8/5 - w*z**2 = 0.
-2, -1, 2
Let y(v) be the third derivative of -1/168*v**8 - 11/105*v**7 + 0*v**4 + 0 - 7/12*v**6 + 0*v**3 - 3*v**2 + 3*v - 5/6*v**5. Factor y(u).
-2*u**2*(u + 1)*(u + 5)**2
Suppose -2/7*j**3 + 0 - 488/7*j + 248/7*j**2 = 0. Calculate j.
0, 2, 122
Let p(k) be the second derivative of -5*k**4/24 - 4205*k**3/6 - 3536405*k**2/4 + 2557*k. Factor p(g).
-5*(g + 841)**2/2
Let u(z) be the first derivative of -z**7/8400 - z**6/720 - 4*z**3/3 - 17*z - 166. Let a(k) be the third derivative of u(k). Factor a(o).
-o**2*(o + 5)/10
Let n(j) be the first derivative of j**6/30 + j**5/20 + 37*j - 75. Let b(g) be the first derivative of n(g). Find x such that b(x) = 0.
-1, 0
Let t(u) be the second derivative of -u**7/252 - u**6/18 + 3*u**5/5 - 25*u**4/36 - 71*u**3/36 + 5*u**2 + 810*u. Find r such that t(r) = 0.
-15, -1, 1, 4
Let d = 11/93 - -133/186. Let z(p) be the second derivative of -11*p - 1 + 5/12*p**4 - d*p**3 - 15*p**2. Determine u so that z(u) = 0.
-2, 3
Let h = 1542232/7 - 220312. Factor -h - 72/7*i - 27/7*i**2 - 3/7*i**3.
-3*(i + 1)*(i + 4)**2/7
Let l(r) be the third derivative of r**5/36 - 545*r**4/72 - 1130*r**3/9 - 13*r**2 + 3*r - 2. Factor l(w).
5*(w - 113)*(w + 4)/3
Suppose -48*q + 158 + 162 = 112*q. Let d(i) be the first derivative of -144*i + 44/3*i**3 - i**4 + 12 - 48*i**q. What is w in d(w) = 0?
-1, 6
Suppose q - 3*l = -99, -2*q + 5*q = l - 257. Let y = -82 - q. Find b, given that 0*b**4 - 5*b**4 + 5 - 100*b**3 + 123 + 512*b - 11*b**4 - 24*b**y = 0.
-4, -1/4, 2
Let a(k) = k**3 - 3*k**2 - 3*k. Let s(y) = 3*y**4 - 190*y**3 - 744*y**2 - 948*y - 390. Let v(w) = 7*a(w) + s(w). Let v(h) = 0. Calculate h.
