+ b*i + 2/3*i**4 = 0.
-2
Let u(g) = -g**2 + 32*g + 3588. Let r be u(78). Let n = -65 + 391/6. Factor 0*m + n*m**3 - 2/3*m**2 + r.
m**2*(m - 4)/6
Let l(a) be the third derivative of 1/210*a**6 - 1/42*a**4 - 23*a**2 + 0*a - 1/70*a**5 + 2 + 0*a**3. Determine f so that l(f) = 0.
-1/2, 0, 2
Let g(w) be the third derivative of w**8/1344 + 5*w**7/168 + 29*w**6/160 - 253*w**5/240 + 35*w**4/24 + 3*w**2 - 282. Suppose g(f) = 0. Calculate f.
-20, -7, 0, 1
Let l(y) be the first derivative of 0*y**2 - 11 + 0*y**3 + 1/3*y**4 - 3*y. Let k(q) be the first derivative of l(q). What is c in k(c) = 0?
0
Let h(g) be the second derivative of 13*g**7/14 + 167*g**6/10 + 1209*g**5/20 + 337*g**4/4 + 34*g**3 - 30*g**2 - 299*g. Determine d, given that h(d) = 0.
-10, -1, 2/13
Suppose -5*i + 3*z + 13 = 0, 0*i - i + 25 = 5*z. Factor 15*v**3 + 78*v**4 - 4256*v**5 + 653*v**3 - 800*v**2 + 4258*v**i + 52*v**3.
2*v**2*(v - 1)*(v + 20)**2
Let r = 70 + -29. Suppose f - r + 36 = 0. Factor f*n**2 + 10*n**2 + 16 - 68*n + 0*n**2 + n**2.
4*(n - 4)*(4*n - 1)
Solve -29808*b**2 - 500*b**5 - 16700/3*b**4 - 7776*b - 21240*b**3 + 0 = 0 for b.
-18/5, -1/3, 0
Let y(r) be the third derivative of -r**5/150 + 41*r**4/60 - 26*r**3/5 - 20*r**2 + 2. Determine w, given that y(w) = 0.
2, 39
Suppose -32*h + 28 = -28*h. Let t(r) be the second derivative of 0 - 2*r - 2/9*r**3 + 4/9*r**4 - 2/5*r**5 - 2/63*r**h + 8/45*r**6 + 0*r**2. Factor t(z).
-4*z*(z - 1)**4/3
Let f = 3237 - 3231. Let i(v) be the first derivative of -12*v - 11 - 3/4*v**4 + f*v**2 + v**3. Solve i(c) = 0.
-2, 1, 2
Factor -2/7*k**2 + 0 + 130*k.
-2*k*(k - 455)/7
Solve -2/5*h**4 + 16/5*h + 2/5*h**3 + 4*h**2 + 0 = 0.
-2, -1, 0, 4
Let v be (35/3 - 12)*(-13 + 7). Factor 2/9*f**4 + 70/9*f - 8/3 - 22/3*f**2 + v*f**3.
2*(f - 1)**3*(f + 12)/9
Suppose -61*p + 58*p + 951 = 0. Let d = p - 315. Factor -4/3 + 5/3*v - 1/3*v**d.
-(v - 4)*(v - 1)/3
Let r(v) be the second derivative of -73*v**4/48 - v**3 + 59*v + 38. Solve r(w) = 0 for w.
-24/73, 0
Let q(w) be the first derivative of -w**5/270 + 11*w**4/108 - 28*w**3/27 - w**2 + 23*w + 243. Let n(u) be the second derivative of q(u). Factor n(o).
-2*(o - 7)*(o - 4)/9
Let p(l) be the first derivative of l**4/2 + 237*l**3/2 - 89*l**2/2 - 5237. Solve p(g) = 0 for g.
-178, 0, 1/4
Let j be (-72)/432*18/(-4). Suppose 3*z - 7 + 14 = -k, -4*z - 4 = 4*k. Solve 0 + 3/4*t**k + 0*t + 0*t**3 - j*t**4 = 0 for t.
-1, 0, 1
Let t be (-45)/30*(-4)/3. Let 4 - t - 13*d - 2*d**2 - 6 + 0*d**2 - d**2 = 0. Calculate d.
-4, -1/3
Let t(g) be the second derivative of 0 - 25/6*g**3 - 5/6*g**4 + 1/4*g**5 + 142*g + 15*g**2. Factor t(w).
5*(w - 3)*(w - 1)*(w + 2)
Let h(k) be the first derivative of k**7/42 - 5*k**6/24 + k**5/3 - 3*k**2/2 - 3*k - 31. Let v(i) be the second derivative of h(i). Factor v(t).
5*t**2*(t - 4)*(t - 1)
Find j such that 267*j**2 + 108 - 351*j**3 + 4*j**3 - 10*j**5 + 580*j - 408 - 13*j**3 - 175*j**4 - 2*j**2 = 0.
-15, -2, 1/2, 1
Find b such that 679*b + 1420*b**2 - 5*b**3 - 4825*b + 1410 + 1321*b = 0.
1, 282
Let p be (-1)/((-6)/(-9))*(1 + -3). Let y be 1/p*(-84)/(-14). Factor 6/17*h**y - 2/17*h**4 + 4/17*h + 0*h**3 + 0.
-2*h*(h - 2)*(h + 1)**2/17
Let k(u) = -u**2 + 20*u + 17. Let n be k(25). Let o = -215/2 - n. Suppose -3/2*q**2 - 5/2 + 9/2*q - o*q**3 = 0. Calculate q.
-5, 1
Let y(u) be the second derivative of u**10/10080 - u**9/1008 + u**8/320 - u**7/280 + 7*u**4/6 - 155*u. Let i(c) be the third derivative of y(c). Factor i(j).
3*j**2*(j - 3)*(j - 1)**2
Suppose 0 = -16*c - 63452 + 63452. Suppose c - 42/5*r + 3/5*r**2 = 0. What is r?
0, 14
Suppose 2*u + 5*v + 170 = 0, 41 = -2*u + 5*v - 89. Let p = 63 - u. Factor -3*w**2 - p*w**4 - w**2 + 142*w**4.
4*w**2*(w - 1)*(w + 1)
Suppose -8*p**3 + 1740*p**4 + 80*p**2 + 96*p - 16*p**3 - 1744*p**4 - 256 = 0. What is p?
-8, -2, 2
Let x = 20 - 9. Let z be (-3 - 0)/(((-18)/12)/1). Factor -24*q**z - 5*q - x*q + q**3 + 3*q**3 - q**4 + 7*q**4.
2*q*(q - 2)*(q + 2)*(3*q + 2)
Suppose -382/7*b**2 + 180/7 + 18*b**3 - 318/7*b + 10/7*b**4 = 0. Calculate b.
-15, -1, 2/5, 3
Let b = 104 + 7. Let a = b + -108. Find j, given that 40/3*j - 13*j**2 - 4 + a*j**3 = 0.
2/3, 3
Let k = -97567 - -97570. Factor 16/3 - 1/3*p**k + 4*p + 0*p**2.
-(p - 4)*(p + 2)**2/3
Let f(c) be the first derivative of c**5/10 + 7*c**4/8 + 3*c**3 + 5*c**2 + 4*c - 515. Factor f(j).
(j + 1)*(j + 2)**3/2
Determine z so that -2/3*z**2 - 248/3*z - 320 = 0.
-120, -4
Let w(s) be the third derivative of -s**7/105 - 11*s**6/60 + 7*s**5/5 - s**4/3 - 56*s**3/3 - s**2 - 303. Determine f so that w(f) = 0.
-14, -1, 2
Let a be (0/1 - 0)/(-7 - -9). Suppose -r - 9*z = -6*z - 2, a = 5*z. Find k such that 7*k**3 + 2*k + 14*k**r - 6 - 6*k**2 - 2 - 9*k**3 = 0.
-1, 1, 4
Let i(b) be the second derivative of b**6/90 - 8*b**5/15 + 32*b**4/3 + 3*b**3/2 + 41*b. Let y(q) be the second derivative of i(q). Determine u so that y(u) = 0.
8
Factor -5*f**4 + 159*f - 270*f**2 - 276*f**3 + 69*f + 2*f**4 + 41*f + 273 + 7*f.
-3*(f - 1)*(f + 1)**2*(f + 91)
Let q = 157331/104886 - 1/52443. Solve -1/2*l**3 - 2*l**2 + 0 - q*l = 0 for l.
-3, -1, 0
Suppose -p - 4*z + 8 = 0, -3*p = -5*p + 3*z + 5. Suppose -5*s + 0*b = -p*b - 32, -4*s - 4*b + 40 = 0. Factor -5*m**3 + s*m**5 - 5*m**5 + m**5 + m**3.
4*m**3*(m - 1)*(m + 1)
Suppose -1043*k - 768 + 1966*k - 3*k**2 - 1019*k = 0. Calculate k.
-16
Suppose 2*d + 4*q + 8 = 0, -36 = -0*d - 5*d + 4*q. Let k(w) be the second derivative of 1/4*w**5 + 0*w**2 + 5/2*w**3 + 0 + 5/3*w**d - 14*w. Factor k(a).
5*a*(a + 1)*(a + 3)
Factor -147456/5 + 1536/5*r - 4/5*r**2.
-4*(r - 192)**2/5
Factor 153/4 + 27/2*u + 1/4*u**2.
(u + 3)*(u + 51)/4
Let w(t) = 4*t - 38. Let m be w(10). Let 63*s**2 + m*s**5 + 8*s**4 + 6*s**3 - 71*s**2 - 2*s**3 - 6*s = 0. What is s?
-3, -1, 0, 1
Suppose -6*i - 2*r + 43 = -i, i - r = 3. Suppose i*f + 5*f - 312 = 0. Factor f*w**3 + 30*w**2 + 6 + 10*w + 4*w + 8*w**4 - 4.
2*(w + 1)**3*(4*w + 1)
Let z be 1/(1/12)*353/2118. Suppose -2/15*n**3 + 24/5*n + 4/5*n**z + 16/3 = 0. What is n?
-2, 10
Let f(r) be the third derivative of r**5/75 + 29*r**4/5 - 70*r**3/3 - 4909*r**2. Factor f(m).
4*(m - 1)*(m + 175)/5
Let i(t) be the first derivative of t**5/230 + t**4/2 + 23*t**3 + 529*t**2 - 34*t - 21. Let c(x) be the first derivative of i(x). Solve c(d) = 0.
-23
Let m(i) be the third derivative of i**10/75600 + i**9/12600 - i**8/1680 - 31*i**4/24 + 90*i**2. Let d(p) be the second derivative of m(p). Factor d(o).
2*o**3*(o - 2)*(o + 5)/5
Suppose 3*m = 2*g + 6*m - 15, 3*g - 2*m - 3 = 0. Suppose -o = g*o - 80. Find v such that o*v - 2*v**2 - 24*v + 6 - 8 = 0.
-1
Let c(j) be the third derivative of 2/7*j**3 - 89*j**2 + 1/21*j**5 - 1/6*j**4 + 0 + 0*j - 1/210*j**6. Determine g so that c(g) = 0.
1, 3
Let a(j) be the second derivative of -j**5 + 206*j**4/3 - 82*j**3/3 + j + 1. Factor a(q).
-4*q*(q - 41)*(5*q - 1)
Let a(d) = 110*d + 4. Let x be a(0). Let p(s) be the second derivative of -9/2*s**2 - 5*s - 1/4*s**x - 2*s**3 + 0. What is h in p(h) = 0?
-3, -1
Let q(c) = c**3 + 64*c**2 + 143*c + 72. Let z(k) = k**3 - 3*k**2. Let p(x) = 2*q(x) - 4*z(x). What is t in p(t) = 0?
-1, 72
Suppose -n = 4*n - 4*k - 50, 2*n - 20 = 2*k. Determine b so that 3*b - 2*b**4 - 7*b - 9*b**2 - 6*b + 3*b**2 + 8 + n*b**3 = 0.
-1, 1, 4
Let w = -18164 - -18169. Let k(h) be the third derivative of 0*h**3 + 19*h**2 + 0 + 1/15*h**w + 0*h + 1/3*h**4. Find x, given that k(x) = 0.
-2, 0
Let r = 13852668/2852017 - 2/407431. Solve -34/7*b**3 + 0 - 2/7*b**5 + r*b**2 - 12/7*b + 2*b**4 = 0 for b.
0, 1, 2, 3
Let c be 2/(2/131) + -1 + -1. Determine x so that 590*x + 2*x**3 + 1323 + 33*x + 191*x + c*x**2 + 635*x + x**3 = 0.
-21, -1
Let o be (12/35)/(140 - (-47922)/(-343)). What is t in -16/15*t - o + 4/3*t**2 + 16/15*t**3 - 2/15*t**4 = 0?
-1, 1, 9
Let z(g) be the first derivative of -g**3/7 + 153*g**2/14 - 222*g - 4965. Let z(p) = 0. What is p?
14, 37
Let j = 417905 - 417902. Factor 0 - 8/3*v - 2*v**2 + 2/3*v**j.
2*v*(v - 4)*(v + 1)/3
Let i(q) be the third derivative of -5/24*q**4 + 87*q**2 + 1/15*q**5 + 0 + 1/3*q**3 + 0*q - 1/120*q**6. Factor i(r).
-(r - 2)*(r - 1)**2
Let r(o) be the third derivative of 59/96*o**4 - 1/120*o**6 + 0*o + 57*o**2 + 0 + 1/2*o**3 + 43/240*o**5. Factor r(m).
-(m - 12)*(m + 1)*(4*m + 1)/4
Let k(x) be the second derivative of 2*x**6/135 + x**5/60 - 5*x