1*r**3 - 1 - 38*r + 1/231*r**7. Factor g(v).
2*(v + 1)**2*(v + 3)**3/11
Factor 371 - 2400*w**2 - 818 + 204*w**3 - 4*w**4 - 488*w**2 - 4161 + 7296*w.
-4*(w - 24)**2*(w - 2)*(w - 1)
Let g(c) be the first derivative of c**6/16 + 69*c**5/40 - 93*c**4/32 - 167*c**3/8 + 45*c**2/8 + 54*c + 94. Determine b, given that g(b) = 0.
-24, -2, -1, 1, 3
Suppose -2*d = 2*h - h - 7, -d = -3*h. What is y in -y - 33*y**2 - 4*y - y - 24*y**3 - d*y**3 = 0?
-1, -2/9, 0
Let j(w) be the second derivative of 0 - 25/12*w**3 - 5/2*w**2 - 5/8*w**4 - 32*w + 1/8*w**5 + 1/12*w**6. Find u, given that j(u) = 0.
-1, 2
Let h = -770627 + 770629. Find s, given that 8/7*s**h - 6/7*s**3 + 0 + 2/7*s**5 - 4/7*s**4 + 8/7*s = 0.
-1, 0, 2
Let l(v) be the first derivative of 14*v - 183 - 1/3*v**3 + 13/2*v**2. Suppose l(t) = 0. Calculate t.
-1, 14
Suppose h = -3*s + 5, s + 20 = 8*h - 4*h. Factor 144586*d**2 + s - 12 - 144587*d**2 + 13*d.
-(d - 12)*(d - 1)
Let a(k) = -k**2 + 130*k - 4157. Let m be a(73). Factor 4*l**2 + 11/3*l**3 + 0 - 1/3*l**m + 0*l.
-l**2*(l - 12)*(l + 1)/3
Let q = -1655/2 + 18477/22. Let h = q + -386/33. Factor -2/3*w**3 + 1/3*w**2 - 1/3*w**4 + h*w + 0.
-w*(w - 1)*(w + 1)*(w + 2)/3
Let b(n) be the third derivative of n**9/4536 - n**8/504 + n**7/180 - n**6/180 - 20*n**3/3 - n**2 + 45*n. Let c(w) be the first derivative of b(w). Factor c(z).
2*z**2*(z - 3)*(z - 1)**2/3
Let q(b) be the third derivative of b**5/480 - 29*b**4/24 + 2720*b**2. Suppose q(n) = 0. Calculate n.
0, 232
Let u be (1/(12/(-45)))/(45/(-60)). What is g in 64*g**5 - 150*g**5 - 2*g**3 - 12*g**4 + 66*g**u + 10*g**3 = 0?
-1, 0, 2/5
Suppose 5*q + 3*i - 27 = 0, 100*q + 10 = 102*q + i. Find a, given that a**2 - 8/5*a + 4/5 - 1/5*a**q = 0.
1, 2
Determine k, given that 17*k**3 - 12*k**3 - 51*k**2 + 23*k**2 - 97*k**2 - 720 + 840*k = 0.
1, 12
Suppose 84*t = 88*t - 24. Let g be ((-40)/(-5))/(-2) - t/(-1). Solve 4/13*b**g + 0*b + 2/13*b**3 + 0 = 0.
-2, 0
Let c(f) be the second derivative of -f**5/5 + 34*f**4 + 206*f**3/3 + 3*f - 97. Find a such that c(a) = 0.
-1, 0, 103
Let z = -174 + 197. Factor 318*n**2 + 176*n**3 + 2*n**5 - 500 + 2*n**4 + 22*n**2 + 7*n**4 - 50*n + z*n**4.
2*(n - 1)*(n + 2)*(n + 5)**3
Let k(y) = -40*y**3 - 214*y**2 - 48*y + 12. Let i(v) = -2*v**3 - v**2 - 2. Let p(c) = 6*i(c) + k(c). What is s in p(s) = 0?
-4, -3/13, 0
Let 51*z - 576 + 324 + 300 + 3*z**2 = 0. Calculate z.
-16, -1
Let u(t) be the first derivative of -11 - 36/7*t - 4/21*t**3 - 20/7*t**2. Factor u(s).
-4*(s + 1)*(s + 9)/7
Let o(b) be the first derivative of -7*b**5 - 3725*b**4 + 11395*b**3 - 11765*b**2 + 4280*b - 569. Let o(a) = 0. What is a?
-428, 2/7, 1
Let z = -65/2 + 209/6. Suppose 0 = 6*u - 12. Factor z*s**u + 23/3*s + 2.
(s + 3)*(7*s + 2)/3
Suppose -9*q + 44 - 17 = 0. Solve -34*v**4 + 186*v**2 - 446*v**4 - 6113*v + 411*v**q + 24 + 5957*v - 525*v**5 = 0.
-1, 2/7, 2/5
Let n(u) be the third derivative of 0*u - 3/20*u**5 + 28*u**2 + 0 + 0*u**4 + 7/40*u**6 + 0*u**3 - 2/35*u**7. Find a such that n(a) = 0.
0, 3/4, 1
Let l(d) be the third derivative of 0*d - 86/9*d**4 + 0 + 1513/90*d**5 + 20/9*d**3 + 274*d**2 - 289/180*d**6. Factor l(y).
-2*(y - 5)*(17*y - 2)**2/3
Let p = 5280/689 - 25711/3445. Suppose -42/5 + 41/5*h + p*h**3 - 12/5*h**2 = 0. What is h?
2, 3, 7
Let f(t) = -13*t**3 - t**2 - 3*t - 1. Let o be f(-1). Suppose -q = 2*q - 3*g - 12, g = -5*q + o. Factor q*x - 7*x**2 + 4*x**2 + 3*x + 3*x.
-3*x*(x - 3)
Find v such that 6*v**3 - 24*v**3 + 20*v**2 - 8*v + 7*v**4 - 8725740*v**5 + 8725739*v**5 = 0.
0, 1, 2
Let o(k) be the first derivative of k**5/70 + 67*k**4/42 + 55*k**3 + 1089*k**2/7 + 98*k - 119. Let v(b) be the first derivative of o(b). Factor v(a).
2*(a + 1)*(a + 33)**2/7
Find y such that 0 + 142/3*y**2 + 8/3*y**4 + 66*y**3 - 16*y = 0.
-24, -1, 0, 1/4
Let a(o) = 6*o**3 + 2724*o**2 - 8109*o + 5463. Let y(x) = -x**3 - 545*x**2 + 1622*x - 1092. Let z(p) = 4*a(p) + 21*y(p). Factor z(j).
3*(j - 180)*(j - 2)*(j - 1)
Let p be (74/(-3145))/((-6)/30). Let i(h) be the second derivative of p*h**2 + 0 - 24*h - 1/51*h**4 - 1/170*h**5 + 1/51*h**3. Find d, given that i(d) = 0.
-2, -1, 1
Suppose -a - 594*d = -599*d - 2, 5*a - 4*d - 10 = 0. Let u(k) be the first derivative of -7 + 1/30*k**3 - 1/5*k**a + 0*k. Factor u(m).
m*(m - 4)/10
Let f(o) = -123*o - 339. Let g be f(-3). Determine x, given that 450 + 1/2*x**2 - g*x = 0.
30
Suppose 371*s - 1301 - 787 = -151*s. Solve -3/2*y**3 + 1/2*y**5 + 0 + 0*y**s + y**2 + 0*y = 0.
-2, 0, 1
Let u(d) = d - 1. Let n(i) = i**2 - 2*i - 4. Let y(r) = -n(r) - 2*u(r). Let t be y(0). Determine g so that -2*g + 5*g**2 + 8*g**2 - g**2 + t*g - 8 = 0.
-1, 2/3
Let x(v) be the third derivative of v**8/84 + 18*v**7/7 + 2968*v**6/15 + 78568*v**5/15 - 46552*v**4 + 389344*v**3/3 + 2*v**2 - 895*v. Let x(u) = 0. Calculate u.
-46, 1, 2
Solve 1912*b - 228484*b**2 + 27303838/3*b**3 - 16/3 = 0.
2/239
Let d(s) be the first derivative of -s**5/15 - 29*s**4/3 - 1682*s**3/3 + 57*s**2/2 + 260. Let h(r) be the second derivative of d(r). Factor h(o).
-4*(o + 29)**2
Let x(t) = t**4 + 2*t**3 + t**2 - 3*t + 1. Let b(d) = d**4 + 70*d**3 + 73*d**2 - 270*d - 266. Let k(l) = b(l) - 2*x(l). Suppose k(w) = 0. What is w?
-2, -1, 2, 67
Determine d, given that 1536216/19*d + 2/19*d**3 + 3036/19*d**2 + 259108432/19 = 0.
-506
Suppose -6511 + 6502 = 4*h - 3*y, 4*h + 3*y = 33. Factor 4/5*j**h - 26/5*j**2 + 1/5*j**5 + 8/5*j**4 - 14/5 - 37/5*j.
(j - 2)*(j + 1)**3*(j + 7)/5
Let c = 314 - 312. Let p(q) = q**3 + 9*q**2 + 8*q + 10. Let f be p(-8). Let 2*z**c + f*z - 18*z + 10*z = 0. What is z?
-1, 0
Let g(f) = -9*f**2 + 1340*f - 1426. Let o(d) = -8*d**2 + 1360*d - 1428. Let l(u) = -4*g(u) + 5*o(u). Factor l(b).
-4*(b - 359)*(b - 1)
Factor 189*d + d**5 + 5*d**4 + 72*d + 9*d - 75*d**3 + 4*d**5 - 23*d**2 - 22*d**2.
5*d*(d - 3)*(d - 2)*(d + 3)**2
Let t(i) be the second derivative of i**5/2 - 22*i**4/3 + 31*i**3/3 + 8*i**2 + i + 36. Determine o, given that t(o) = 0.
-1/5, 1, 8
Let b = -41 + -11. Let r be (b/6)/((-2)/3). Suppose r*v**2 + 6 + 8*v - v - 12*v**2 = 0. What is v?
-6, -1
Let x(s) be the second derivative of s**5/10 - 32*s**4/3 + 1360*s**3/3 - 9600*s**2 - 609*s - 3. Let x(v) = 0. What is v?
20, 24
Let q(k) = k**2 + 153*k + 5794. Let v be q(-85). Find x such that -v*x + 32/11*x**2 + 196/11 - 2/11*x**3 = 0.
2, 7
Let x(g) be the second derivative of -g**6/120 + g**4/2 + 10*g**3/3 - 2*g - 6. Let s(m) be the second derivative of x(m). Factor s(y).
-3*(y - 2)*(y + 2)
Let c(v) be the second derivative of -26*v + 18*v**2 - 1/60*v**6 + 0*v**3 + 0*v**5 + 0 + 1/12*v**4. Let s(o) be the first derivative of c(o). Solve s(g) = 0.
-1, 0, 1
Let a be ((-112)/(-4))/14 - -2. Let p(x) be the second derivative of -1/9*x**a - 1/6*x**2 + 0 - 5/18*x**3 - 9*x. Factor p(b).
-(b + 1)*(4*b + 1)/3
Let j(c) be the third derivative of -c**6/480 + c**5/240 + 15*c**4/16 - 5*c**2 - 9*c. Find z such that j(z) = 0.
-9, 0, 10
Find a such that -452*a**3 + 73159 - 146001 + 216*a**2 + 73194 + 1040*a + 20*a**4 = 0.
-1, -2/5, 2, 22
Let u be 317/5 - 8/20. Factor -34*a + u*a + 3 - 3 + 22*a**2 - 5*a - 2*a**3.
-2*a*(a - 12)*(a + 1)
Solve 41*h**3 - 27*h - 173*h**2 - 182*h - 79*h + 47*h**2 + 0*h**5 + 14*h**4 - h**5 = 0.
-3, -2, 0, 3, 16
Let i(m) = -23*m - 943. Let r be i(-41). Let y(l) be the first derivative of 1/34*l**4 + 0*l + r*l**2 + 0*l**3 + 9. Factor y(t).
2*t**3/17
Let a be (-6)/(-374)*(10 + 665/21). Let u = -1/561 + a. Factor -2/3*w + 2/3*w**3 - u*w**2 + 2/3.
2*(w - 1)**2*(w + 1)/3
Let o(j) = 45*j**4 - 1152*j**3 + 105942*j**2 + 677442*j + 6. Let r(p) = -7*p**4 + p**3 - 3*p**2 + p - 1. Let u(q) = -o(q) - 6*r(q). Find d such that u(d) = 0.
-6, 0, 194
Let u(i) = -10*i**2 - 20*i - 93. Let y be u(-8). Let l = y - -578. Find v such that -1/5*v**4 + 4/5*v**l - 8/5*v**3 + 2/5*v**2 - 1/5 + 4/5*v = 0.
-1, 1/4, 1
Let o = 34 - 26. Let r be (570/o)/((-1)/(-4)). What is p in -2*p**5 - 16*p**3 + r*p**4 - 297*p**4 + 18*p - 3*p**2 + 15*p**2 = 0?
-3, -1, 0, 1
Let m(c) be the first derivative of 44*c**5/5 - 1593*c**4 - 1204*c**3/3 + 3186*c**2 + 1160*c - 506. Let m(b) = 0. Calculate b.
-1, -2/11, 1, 145
Suppose -96 = -10*w + 44. Suppose 3*n - 5*m - 61 = 0, -5*n + 26 = 4*m - w. Find k, given that n + 4*k**2 + 20*k - 8*k**3 - 9*k**3 + 13*k**3 = 0.
-1, 3
Find b, given that 223/3*b + 271/3*b**2 + 5/3*b**4 + 20 +