f - 1/3*f**z - 60 = 0 for f.
-5, 6
Let v(y) be the third derivative of -y**10/756000 - y**9/75600 - 17*y**5/10 + 14*y**2 - 2. Let p(i) be the third derivative of v(i). Factor p(a).
-a**3*(a + 4)/5
Suppose 129*j - 127*j = 6, 3*g = 7*j + 15. Let k be ((-5)/30)/(2/(-18)). Factor -g*r**2 - k*r**5 + 24 - 24*r**3 + 24*r - 21/2*r**4.
-3*(r - 1)*(r + 2)**4/2
Suppose -429 - 265 = -4*l + d, 0 = -3*l - 3*d + 528. Suppose 190*m - 32 = l*m. Factor -2/7*u**m + 2/7*u + 4/7.
-2*(u - 2)*(u + 1)/7
Let s(k) = 2*k**2 + 2*k + 1. Let o be s(-2). Suppose o*n + 10 = 10*n. Factor -n*c**3 - 6*c + 6*c + 6*c**3.
4*c**3
Let u = -4850 - -4850. Let y(t) = 2*t - 8. Let m be y(5). Determine j, given that -2/3*j**3 + 4/3*j + 2/3*j**m + u = 0.
-1, 0, 2
Let h = 18513/145 - 2299/29. Factor 160 + h*y**2 - 144*y + 2/5*y**4 - 36/5*y**3.
2*(y - 5)**2*(y - 4)**2/5
Factor 3294/11*j**2 + 7776/11*j**3 + 312/11*j - 8/11.
2*(9*j + 2)**2*(48*j - 1)/11
Let n be 2910/(-90) + 43 + (-1)/(-3). Let j(m) be the first derivative of -1/6*m**4 + 0*m - n + 4/9*m**3 + 8/3*m**2. Find h, given that j(h) = 0.
-2, 0, 4
Let t(s) be the third derivative of s**3 + 0 - 1/24*s**4 - 1/120*s**6 - 23*s**2 - 1/30*s**5 + 0*s. Let y(g) be the first derivative of t(g). Factor y(l).
-(l + 1)*(3*l + 1)
Suppose 17 = -3*a - 4. Let z(p) = -p**2 - 5*p + 17. Let i be z(a). Factor 10*q**5 - i*q**5 - 19*q**5 - 4*q**4 + 12*q**4.
-4*q**4*(3*q - 2)
Let y = -7 + -28. Let a be 7/y - (161/245 + -1). Suppose a*j**4 - 1/7*j**3 + 1/7*j**5 - 1/7*j**2 + 0*j + 0 = 0. What is j?
-1, 0, 1
Let z(i) be the third derivative of i**7/420 + 7*i**6/150 - 9*i**5/100 - 131*i**3/3 - 17*i**2 + 6. Let g(o) be the first derivative of z(o). Factor g(w).
2*w*(w + 9)*(5*w - 3)/5
Let o(u) be the third derivative of -u**6/60 + 89*u**5/15 - 347*u**4/4 + 516*u**3 - 4099*u**2. Find c, given that o(c) = 0.
3, 172
Let j(k) be the second derivative of -k**7/56 - k**6/20 + 213*k**5/80 + 9*k**4/2 + k - 4635. Suppose j(c) = 0. What is c?
-9, -1, 0, 8
Let i be 52/104 - (-4810)/(-4). Let s = 10822/9 + i. Factor -2/9*a**3 + s + 0*a**2 + 2/3*a.
-2*(a - 2)*(a + 1)**2/9
Let b(c) be the first derivative of -2*c**3/33 + 398*c**2/11 + 798*c/11 - 391. Determine q so that b(q) = 0.
-1, 399
Let n(f) = -6*f**3 - 485*f**2 + 5945*f - 828. Let i(q) = -q**3 - 6*q**2 + 1. Let d(b) = 39*i(b) - 3*n(b). Factor d(t).
-3*(t - 29)**2*(7*t - 1)
Determine v so that 70*v - 5*v**2 + 3*v**2 + 119288 - 3*v**2 + 150*v - 120728 = 0.
8, 36
Let z(p) = -p**2 + 261*p - 2022. Let s be z(8). What is w in 18/5*w - 21/5*w**s + 3/5*w**5 + 0 - 9/5*w**3 + 9/5*w**4 = 0?
-3, -2, 0, 1
Let f be (-1 + -14)*(-6)/6 + 0. Factor 6*w**3 + 21*w**4 - 84*w - f*w**3 + 18*w**2 - 54*w**2 + 48 + 33*w**3 + 27*w**3.
3*(w - 1)*(w + 2)**2*(7*w - 4)
Let m(q) = q**3 - 10*q**2 - 60*q + 28. Let g be m(13). Let u be ((-10)/g)/((-12)/(-84)). Factor -u*w**3 + 0*w**2 + 1/7*w**5 + 1/7*w + 0 + 0*w**4.
w*(w - 1)**2*(w + 1)**2/7
Let z(i) be the first derivative of i**6/90 + 13*i**5/30 + 122*i**3/3 - 56. Let k(h) be the third derivative of z(h). Let k(s) = 0. What is s?
-13, 0
Let l(f) = -190*f**3 - 4810*f**2 - 10610*f - 3515. Let g(m) = -27*m**3 - 687*m**2 - 1516*m - 502. Let x(i) = -15*g(i) + 2*l(i). Suppose x(q) = 0. What is q?
-25, -2, -2/5
Let h(y) be the second derivative of y**4/42 - 17*y**3/7 - 52*y**2/7 + 821*y. Factor h(r).
2*(r - 52)*(r + 1)/7
Find r, given that -100/3*r**2 - 2/3*r**5 + 10/3*r**4 + 20/3*r**3 + 30 - 6*r = 0.
-3, -1, 1, 3, 5
Suppose -2*o - 712 = -3*n + 730, 2*n - 957 = -3*o. Determine u, given that -30*u**2 - 116*u**3 + 37*u**2 - u**5 + 400 - 23*u**2 + n*u - 21*u**4 = 0.
-10, -2, -1, 2
Let w be 23353/(-187) - 12/102. Let c be 8 - 90/w*-10. Factor -f - c - 1/5*f**2.
-(f + 1)*(f + 4)/5
Let c(w) be the first derivative of w**6/9 - 16*w**5/15 + 7*w**4/2 - 4*w**3 - 1896. What is t in c(t) = 0?
0, 2, 3
Let r(c) be the first derivative of 0*c**2 + 0*c - 9/28*c**4 + 1/35*c**5 + 8/21*c**3 + 36. Let r(a) = 0. Calculate a.
0, 1, 8
Find s such that -41*s**4 - 4*s**5 - 86 - 5625*s - 3750*s**2 - 31*s**4 + 86 - 28*s**4 - 925*s**3 = 0.
-15/2, -5, 0
Let u(x) = x**2 - 39*x + 108. Let y be u(3). Let p = 661 + -657. Determine g, given that -1/8*g**5 + 0*g + 1/4*g**2 + 3/8*g**3 + y*g**p + 0 = 0.
-1, 0, 2
Factor -2/9*p**3 - 922082/3*p - 626093678/9 - 1358/3*p**2.
-2*(p + 679)**3/9
Let h = 8457 - 8452. Let i(n) be the third derivative of 0 + 0*n + 0*n**3 + 1/80*n**h + 1/480*n**6 + 10*n**2 + 1/48*n**4. Find k such that i(k) = 0.
-2, -1, 0
Suppose -50 = 5*w - 40. Let a be 76/(-57)*3/w. Factor -9*o - 12*o**a + 327 - 3*o**3 - 327.
-3*o*(o + 1)*(o + 3)
Let x be (-980)/(-45) - (-16)/72. Let v be x*(-24)/(-392)*7. Factor v*m**2 + 21 + 36/7*m**3 + 3/7*m**4 - 36*m.
3*(m - 1)**2*(m + 7)**2/7
Let a(f) be the second derivative of -f**4/20 - 2059*f**3/5 - 12718443*f**2/10 - f + 1303. Factor a(n).
-3*(n + 2059)**2/5
Let v(o) be the third derivative of -o**8/84 + 3*o**6/10 - 1995*o**2. Factor v(k).
-4*k**3*(k - 3)*(k + 3)
Let y(b) = 2*b**3 - b**2 + 3*b - 2. Let g be y(1). Suppose 0 = 4*m - 3*v + g, 0*m - m + 3*v = 5. Determine w, given that -5*w - m - w**3 + 3 + 2*w**3 + 2*w = 0.
-2, 1
Suppose d + 4*n + 508 = 424, 4*n - 6 + 90 = 0. Let 4/13*b + d - 2/13*b**3 - 2/13*b**2 = 0. Calculate b.
-2, 0, 1
Let h(y) = -152*y**4 - 1372*y**3 + 376*y**2 + 12*y + 60. Let k(l) = 61*l**4 + 549*l**3 - 150*l**2 - 5*l - 25. Let i(n) = -5*h(n) - 12*k(n). Factor i(t).
4*t**2*(t + 10)*(7*t - 2)
Let d(m) be the first derivative of -30*m**2 + 5/3*m**3 - 89 + 180*m. Factor d(c).
5*(c - 6)**2
Let y(h) be the first derivative of 187 - 3/8*h**2 + 0*h + 1/3*h**3 + 15/16*h**4. Solve y(l) = 0 for l.
-3/5, 0, 1/3
Let o be (-6)/(-4) - 9177/(-494). Let j = o - 211/39. Let 4/3*x**4 + 32/3 + j*x**3 + 36*x**2 + 100/3*x = 0. Calculate x.
-8, -1
Let g(u) = -6*u**3 + 21*u**2 + 14*u + 1. Let k be g(4). Let -3/2*x**5 - 3/2*x + 0 + 6*x**2 - k*x**3 + 6*x**4 = 0. What is x?
0, 1
Suppose 6*x + 6 = -3*y, -3*x + 2 + 4 = 3*y. Let g be 4/(-12)*(-1 + y + -7). Factor -2/3*o**4 - 2*o**3 - g*o + 0 - 2*o**2.
-2*o*(o + 1)**3/3
Let x(r) = -10630*r + 159450. Let k be x(15). Find g, given that 3/5*g**2 + k*g + 0 = 0.
0
Let t(w) be the second derivative of -w**5/60 + 7*w**4/18 + 31*w**3/18 + 8*w**2/3 + 2*w - 879. Let t(r) = 0. Calculate r.
-1, 16
Let i(v) = 272*v**2 + 760*v + 516. Let b(m) = m**3 + 271*m**2 + 764*m + 515. Let h(g) = 4*b(g) - 3*i(g). Solve h(a) = 0 for a.
-64, -2, -1
Suppose 7*m - 152 = -72*m + 3*m. Let p(l) be the first derivative of -1/24*l**4 + 1/10*l**5 + 0*l + 0*l**m + 6 - 1/6*l**3 + 1/36*l**6. Factor p(i).
i**2*(i - 1)*(i + 1)*(i + 3)/6
Factor -748/7*o**3 + 140624/7*o + 2/7*o**4 + 69186/7*o**2 + 70688/7.
2*(o - 188)**2*(o + 1)**2/7
Let b be 10/4 - (-16496)/(-480). Let l = -95/3 - b. Factor 1/5*f**2 + l - 2/5*f.
(f - 1)**2/5
Let r = -240076 + 720236/3. Let g = 21/26 - -170/39. Determine q, given that -28/3*q - 2/3*q**3 + r - g*q**2 = 0.
-4, 1/4
Let f = -804 + 806. Suppose 12*v + 10*v - f*v = 0. Find a such that 2*a**4 + v*a**2 + 0*a - 2*a**3 + 0 - 1/2*a**5 = 0.
0, 2
Let v(i) be the second derivative of i - 71/54*i**3 + 1/180*i**5 + 17/54*i**4 + 13 + 2*i**2. Factor v(n).
(n - 1)**2*(n + 36)/9
Let p(x) = -17814*x - 35626. Let j be p(-2). Determine k, given that 80/3*k**j + 4/3*k**5 + 8 - 8/3*k**4 - 8*k**3 - 76/3*k = 0.
-3, 1, 2
Let l = -1357613 + 1357649. Factor -l + 33/2*z**2 + 129/2*z - 3*z**3.
-3*(z - 8)*(z + 3)*(2*z - 1)/2
Let t(i) be the second derivative of i**6/6 - 4*i**5 + 35*i**4/3 - 17*i - 5. Factor t(j).
5*j**2*(j - 14)*(j - 2)
Let -3*x**4 + 2194074*x**2 - 2*x**5 - 2194066*x**2 + x**4 + 8*x**3 = 0. What is x?
-2, -1, 0, 2
Find b such that -75 + 299/2*b + b**2 = 0.
-150, 1/2
Solve -1809*c**3 - 1576*c**5 - 909*c**4 - 1590*c**5 - 903*c**2 + 3163*c**5 = 0.
-301, -1, 0
Let r(f) be the third derivative of 1/84*f**8 + f**2 + 0*f**3 + 133 + 0*f + 1/10*f**6 + 2/35*f**7 + 0*f**4 + 1/15*f**5. Factor r(m).
4*m**2*(m + 1)**3
Let p(l) = -6*l - 3. Let s be p(-4). Let w = -18 + s. Suppose 2 + 7*z - 3*z**3 - 2*z - 12*z**w - 20*z**2 + 8 = 0. What is z?
-1, 2/3
Let s = -48462 + 48464. Factor 3/2*k**s - 45/2 + 3*k.
3*(k - 3)*(k + 5)/2
Let m(z) be the second derivative of 1/15*z**5 - 54*z + 0 + 4*z**2 - 4/9*z**3 - 5/18*z**4. Find y, given that m(y) = 0.
-3/2, 2
Suppose -11*f - 77*f = -668 - 124. Let 