2/3 + 16*y + 38. Let p(s) be the first derivative of t(s). Factor p(m).
-2*(m + 20)**2/3
Let w be 16/(-24) + 14/3 + -4. Suppose -34*z - 17*z = w. Solve 4/9*o**2 - 2/9*o**4 + z - 2/9*o**3 + 0*o = 0.
-2, 0, 1
Let o(t) = -t**3 + 7*t**2 - 7*t + 1. Let p be o(3). Suppose 0 = -3*n - 4*h + 16, 13*h - p = 5*n + 9*h. Factor n + 1/4*y**3 - 3/4*y**2 + 0*y.
y**2*(y - 3)/4
Let q(p) be the second derivative of p**5/5 + 85*p**4/18 + 152*p**3/9 + 73*p**2/3 + 7070*p. Factor q(n).
2*(n + 1)**2*(6*n + 73)/3
Factor -36*m**2 - 16 - 40 + 17 + 260*m + 7 - 24.
-4*(m - 7)*(9*m - 2)
What is t in -595*t - 5*t**2 + 653*t + 4800 - 278*t = 0?
-60, 16
Let v(g) be the third derivative of -g**8/896 + 23*g**7/420 - 227*g**6/960 + 41*g**5/240 + 7*g**4/24 - 866*g**2. What is h in v(h) = 0?
-1/3, 0, 1, 2, 28
Let k(m) be the third derivative of m**7/252 + m**6/180 - m**5/90 + 41*m**3/6 - 2*m**2 + 15*m. Let d(v) be the first derivative of k(v). Factor d(x).
2*x*(x + 1)*(5*x - 2)/3
Let n(k) be the third derivative of -13/6*k**4 - 26*k**2 - 169/3*k**3 + 0 + 0*k - 1/30*k**5. Factor n(x).
-2*(x + 13)**2
Let f(u) = 240*u - 236. Let a be f(1). Let z(x) be the first derivative of -11/6*x**a - 8/3*x**3 - 7/15*x**5 - 10 - 5/3*x**2 - 1/3*x. Factor z(h).
-(h + 1)**3*(7*h + 1)/3
Let v(f) be the first derivative of -f**4/108 + 10*f**3/27 - 53*f + 96. Let w(k) be the first derivative of v(k). Factor w(b).
-b*(b - 20)/9
Factor -211*x**3 - 128 + 260*x**3 - 495*x + 1035*x - 336*x**2.
(x - 2)*(7*x - 32)*(7*x - 2)
Let u = 554984 + -1664915/3. Find l, given that 10/3*l**5 - 1/3*l**2 + 37/3*l**3 + 2/3 - 11/3*l - u*l**4 = 0.
-1/2, 1/5, 1, 2
Suppose 5*l - 3*v = 34, -4*l - 15 + 44 = -3*v. Find i such that 10 - 2*i**2 + 6 - 4*i + 3*i + l*i = 0.
-2, 4
Suppose -31*m**3 - 17*m**3 + 220*m**5 - 222*m**5 + 136*m + 8*m**2 - 22*m**4 - 72*m = 0. What is m?
-8, -2, 0, 1
Determine k so that 120/7*k**2 + 22/7*k**5 + 150/7*k**4 + 40*k**3 - 32/7*k + 0 = 0.
-4, -2, -1, 0, 2/11
Let n(q) be the first derivative of 6*q - 1/2*q**6 + 27/10*q**5 + 9/4*q**2 - 56 - 13/2*q**3 - 3/8*q**4. Suppose n(f) = 0. What is f?
-1, -1/2, 1, 4
Suppose 254*l = -188*l + 101*l + 1023. Solve 5/3*k**4 + 0 + 7/3*k**2 + 2*k - 6*k**l = 0.
-2/5, 0, 1, 3
Let q(y) be the third derivative of -7*y**6/72 - 5*y**5/24 - 34*y**3/3 - 17*y**2. Let k(c) be the first derivative of q(c). Determine d so that k(d) = 0.
-5/7, 0
Let q(l) be the second derivative of -5*l**5/4 + 4385*l**4/12 + 3517*l**3/8 + 198*l**2 - 5125*l. Factor q(y).
-(y - 176)*(10*y + 3)**2/4
Let w(m) be the first derivative of m**6/30 + 3*m**5/25 - m**4/5 - 296. Factor w(j).
j**3*(j - 1)*(j + 4)/5
Let v = 58845 + -176395/3. Factor 85/3*k - 40/3*k**4 + 5/3*k**5 - v*k**2 - 20/3 + 110/3*k**3.
5*(k - 4)*(k - 1)**4/3
Let i(s) be the first derivative of s**7/56 + s**6/80 - 3*s**5/80 - s**4/32 + 24*s - 93. Let n(m) be the first derivative of i(m). Let n(x) = 0. What is x?
-1, -1/2, 0, 1
Let y be (828/36)/23*3. Let 0*c**2 - 2/19*c**y + 2/19*c + 0 = 0. Calculate c.
-1, 0, 1
Let a = 358934 + -358932. Factor 8/13*t**4 - 34/13*t**3 + 40/13*t**a - 8/13*t + 0.
2*t*(t - 2)**2*(4*t - 1)/13
Find l, given that 1/4*l**2 + 5/4*l - 161 = 0.
-28, 23
Let d(z) be the third derivative of -z**8/112 + 93*z**7/35 - 8649*z**6/40 - 4099*z**2. Solve d(k) = 0 for k.
0, 93
Suppose 0 = -3*w + a - 15, -15*a = -11*a. Let b be ((-4)/70)/(w/(-150)*-6). Find z such that -2/7*z + 4/7 - b*z**2 = 0.
-2, 1
Suppose -32 = -3*v - 5*f, 0*v + 4*v + f = 20. Let o(x) be the second derivative of 0 - 12*x - 1/21*x**3 - 1/84*x**v + 3/14*x**2. Factor o(b).
-(b - 1)*(b + 3)/7
Factor 50*y**2 + 1099*y**3 - 2177*y**3 + 1079*y**3 + 217*y - 11532.
(y - 12)*(y + 31)**2
Let p be 2/(-1) - (-18 + 12). Let u(i) = -i**2 + 325*i - 2226. Let a be u(7). Factor 0 + a*c + 84/5*c**5 - 9*c**p + 6/5*c**3 + 0*c**2.
3*c**3*(4*c - 1)*(7*c - 2)/5
Let n(p) be the first derivative of -p**5/5 - 2*p**4/3 + 2*p**3 + 22*p - 281. Let x(z) be the first derivative of n(z). Let x(f) = 0. What is f?
-3, 0, 1
Let i(w) = 84*w**3 + 60*w**2 - 57*w - 62. Let r(g) = 3*g**3 + 3*g**2 - g - 2. Let c(a) = -2*i(a) + 50*r(a). Let c(z) = 0. Calculate z.
-2/3, 3
Suppose 26*i + 2385 = 2437. Let m(b) be the second derivative of 0 + 18*b - 2/15*b**6 - 5/3*b**4 + 4/5*b**5 + 4/3*b**3 + 0*b**i. Factor m(g).
-4*g*(g - 2)*(g - 1)**2
Let n be 0/(2 - (4 - 4)). Let i(y) be the first derivative of n*y + 5 - 12/25*y**5 + 0*y**3 + 1/10*y**6 + 0*y**2 + 0*y**4. Determine s so that i(s) = 0.
0, 4
Let m(h) be the first derivative of h**5/15 + 13*h**4/3 - 278*h**3/9 + 66*h**2 - 57*h - 3894. Factor m(g).
(g - 3)*(g - 1)**2*(g + 57)/3
Suppose -4*o + 27 - 47 = -4*w, -4*o = -6*w + 28. Factor -1/2*c**5 + c**2 + c**3 - 1/2 - 1/2*c - 1/2*c**w.
-(c - 1)**2*(c + 1)**3/2
Let a = 674482/7 - 96354. Determine b, given that -6/7*b**5 + 2/7*b + a*b**3 + 0 - 8/7*b**2 + 8/7*b**4 = 0.
-1, 0, 1/3, 1
Let n(s) be the first derivative of -s**3/18 - 59*s**2/6 - 115*s/2 - 8931. What is m in n(m) = 0?
-115, -3
Let a(z) be the third derivative of z**6/1020 + 16*z**5/255 + 29*z**4/51 + 112*z**3/51 + 255*z**2. Factor a(w).
2*(w + 2)**2*(w + 28)/17
Let b = -14784 + 14784. Solve b + 1/5*p**3 + 0*p - 2/5*p**2 = 0 for p.
0, 2
Suppose -121 - 359 = -30*z. Factor 134*d**4 - 277*d**4 - z*d**3 + d**3 + 138*d**4 - 10*d**2.
-5*d**2*(d + 1)*(d + 2)
Factor -4*o**3 - 107*o - 16*o - 51*o**2 + 0*o**3 + 167*o**2 - 93*o.
-4*o*(o - 27)*(o - 2)
Find a, given that -2/9*a**2 - 2356/9 - 262*a = 0.
-1178, -1
Let n(w) = 3*w**3 - 43*w**2 + 266*w. Let l(i) be the third derivative of -i**6/120 + 7*i**5/30 - 11*i**4/3 - 38*i**2. Let m(r) = 17*l(r) + 6*n(r). Factor m(c).
c*(c - 10)**2
Let f(i) be the third derivative of -i**6/48 - 7*i**5/6 - 1105*i**4/48 - 845*i**3/6 + 2*i**2 - 894*i. Factor f(h).
-5*(h + 2)*(h + 13)**2/2
Let q = 641 - 646. Let r be (8/(-8)*(1 + 0))/q. Suppose -1/5*y**4 - 3/5*y**3 + 0 + 3/5*y + r*y**2 = 0. What is y?
-3, -1, 0, 1
Let j(z) = 125*z**3 - 47*z**2 - 108*z + 64. Let b(q) = -251*q**3 + 92*q**2 + 215*q - 128. Suppose 17*o - 104 = 49. Let c(p) = o*j(p) + 4*b(p). Factor c(a).
(a + 1)*(11*a - 8)**2
Let b = 136094 - 136091. Factor -3/5*j**b + 0 - 3/5*j**2 - 1/5*j**4 - 1/5*j.
-j*(j + 1)**3/5
Let g = 4711 + -4711. Let y(i) be the first derivative of -3/2*i**4 - 2/3*i**3 + g*i**2 + 0*i - 16. Factor y(j).
-2*j**2*(3*j + 1)
Suppose -3232 = 1748*u + 729*u - 20159 - 7843. Factor -1/4*f**3 + 24 + u*f**2 - 29*f - 1/4*f**4.
-(f - 3)*(f - 2)**2*(f + 8)/4
Let k(m) be the third derivative of m**6/480 + 311*m**5/12 + 2418025*m**4/24 - 345*m**2 - 5*m + 2. Determine i, given that k(i) = 0.
-3110, 0
Let g(o) be the third derivative of -5*o**8/336 - o**7/21 + o**6/6 + 2*o**5/3 - 3*o**2 - 1063. Factor g(a).
-5*a**2*(a - 2)*(a + 2)**2
Suppose -41 = -3*m + 5*l + 3, 3*m - l = 40. Suppose 3*s - 37 + m = 0. Find p, given that -10*p + 3*p**2 + 3*p**2 - 4*p**2 + s = 0.
1, 4
Let q = 523384/3 + -174461. Solve 1/6*d**4 + 0 + q*d**3 + 2/3*d - 7/6*d**2 = 0.
-4, 0, 1
Suppose -h + 339 = 23. Let a = -314 + h. Factor 1/4*v**a + 0 + 0*v + 1/8*v**3.
v**2*(v + 2)/8
Determine s so that -48/19*s**2 + 20/19*s**3 - 14/19 + 44/19*s - 2/19*s**4 = 0.
1, 7
Factor -6*t**2 + 67*t**3 - 126*t**3 + 3*t**4 - 3*t**2 - 69*t + 71*t**3 + 15*t.
3*t*(t - 2)*(t + 3)**2
Find f, given that 66*f**4 + 147*f**2 - 3 + 83/2*f - 503/2*f**3 = 0.
-1/4, 2/33, 1, 3
Let d(f) = -11*f + 18. Let h be d(2). Let z(g) = 3*g**3 - 7*g**2 - g + 3. Let b(x) = -x**3 + x**2 + 1. Let c(i) = h*b(i) - 2*z(i). Let c(s) = 0. Calculate s.
-1, 1, 5
Let c = -160277 + 160295. Determine t, given that 18/7 + 102/7*t + c*t**2 - 54/7*t**3 = 0.
-1/3, 3
Let k(g) be the second derivative of g**7/1470 - g**6/315 - g**5/70 + 121*g**3/6 - 2*g + 27. Let s(o) be the second derivative of k(o). Factor s(a).
4*a*(a - 3)*(a + 1)/7
Let n be (((-55)/(-10))/11)/((-2)/(2/(-3))). Let g(c) be the first derivative of 250/3*c - 21 + 10/3*c**3 + n*c**4 + 25*c**2. Factor g(k).
2*(k + 5)**3/3
Let i(k) be the first derivative of k**3/15 + 77*k**2/2 + 764. Factor i(s).
s*(s + 385)/5
Let r(w) = -4*w**3 + 24*w**2 + 10*w - 104. Let t(n) = n**3 + n**2 - n. Let v(i) = -r(i) - 2*t(i). Factor v(b).
2*(b - 13)*(b - 2)*(b + 2)
Let k be ((-1)/10*6*(-9 - -14))/(-1). Let x(p) be the first derivative of -10/3*p**3 + k + 4*p - 1/2*p**2 + 7/4*p**4. Factor x(h).
(h - 1)**2*(7*h + 4