tor -32/9*f + 10/3 + 2/9*f**2.
2*(f - 15)*(f - 1)/9
Let j be (-14)/6 - (-381203)/111030. Factor 0 - j*f**3 + 3/5*f + 1/2*f**2.
-f*(f - 1)*(11*f + 6)/10
Let w = 41929 - 880507/21. Suppose 16/21*o + 8/21 + w*o**2 - 2/21*o**5 - 2/3*o**3 - 10/21*o**4 = 0. Calculate o.
-2, -1, 1
Let p be 0/2 - (-7 + 30/6). Solve 5*x**2 - 4*x**3 + 12*x**4 + 12*x**4 - p*x - 23*x**4 = 0.
0, 1, 2
Let p(j) = 20*j - 35. Let r be p(2). Factor -2*y**5 + 5*y**r - 9*y**4 + 3*y**3 - 21*y**3 + 6*y**4.
3*y**3*(y - 3)*(y + 2)
Let l be 6602/3 + ((-10)/15 - 0). Factor 778 - 12*y**3 - l*y + 205*y**2 + 854 - 565 + 933 + 7*y**3.
-5*(y - 20)**2*(y - 1)
Let z(u) be the third derivative of -u**6/1020 + 21*u**5/34 - 8353*u**2. Factor z(a).
-2*a**2*(a - 315)/17
Let g(y) be the second derivative of -y**5/5 - 46*y**4/3 - 418*y**3/3 - 328*y**2 + 131*y. Factor g(w).
-4*(w + 1)*(w + 4)*(w + 41)
Let q be 9/(-2)*-9*8/3. Factor -10*f**3 - 116*f + q*f + 12*f**3.
2*f*(f - 2)*(f + 2)
Solve -664/7*t + 480/7 - 22/7*t**3 + 88/3*t**2 + 2/21*t**4 = 0.
1, 6, 20
What is c in 0*c + 175/4*c**2 - 3/4*c**4 - 1/4*c**5 + 45/4*c**3 + 0 = 0?
-5, 0, 7
Let c(y) = -3*y**2 - 9*y - 23. Let a be c(-5). Let h be (a + 56)/(1*4). Solve 3/8*m**3 - 3/2*m**2 - h + 15/8*m = 0 for m.
1, 2
Factor -2*v**2 + 1950 + 1300 - 612*v - 770.
-2*(v - 4)*(v + 310)
Suppose -3*w + 25 = -c - 0*c, w + 4*c = 4. Suppose w*z + 5*z = 4*z. Factor 0 - 8/3*h**3 - 14/9*h**4 + 8/9*h**2 + z*h.
-2*h**2*(h + 2)*(7*h - 2)/9
Suppose -2*u - 6 = -v, -u = 5*v + 19 - 38. Let w be (-3)/(-2) - 1/(-2). Factor -27*o**w - o**4 + 0*o**3 - 2*o**v + 18*o**3 + 0*o**3.
-3*o**2*(o - 3)**2
Suppose 42/11*g**3 + 0 - 20*g**2 - 1/11*g**5 + 4/11*g**4 + 175/11*g = 0. What is g?
-7, 0, 1, 5
Let i = 1060760/7 - 151537. Suppose i*f**2 + 4/7*f + 3/7 = 0. What is f?
-3, -1
Let h(k) be the first derivative of -k**6/200 + k**5/10 - 2*k**2 - 6*k + 55. Let p(v) be the second derivative of h(v). Factor p(r).
-3*r**2*(r - 10)/5
Let w(q) be the first derivative of q**6/960 - 11*q**5/320 - q**3/3 + 13*q + 6. Let z(a) be the third derivative of w(a). Suppose z(j) = 0. Calculate j.
0, 11
Let g = 28201/18 - 3133/2. Let m(n) be the second derivative of -7/90*n**5 + 1/45*n**6 + 0 + 1/18*n**4 + n - g*n**2 + 1/9*n**3. Factor m(a).
2*(a - 1)**3*(3*a + 2)/9
Let d(g) = -78*g**3 - 3566*g**2 - 40695*g + 6353. Let v(q) = -39*q**3 - 1782*q**2 - 20346*q + 3177. Let o(j) = 3*d(j) - 5*v(j). Factor o(p).
-3*(p + 23)**2*(13*p - 2)
Let z(n) be the third derivative of n**5/420 - 127*n**4/42 + 32258*n**3/21 + 3443*n**2. Factor z(u).
(u - 254)**2/7
Determine l so that 42*l**2 + 180 - 3/4*l**3 + 177*l = 0.
-2, 60
Suppose -255 = 2*f - 67. Let z = 95 + f. Let h(l) = -l**2 + l - 1. Let p(t) = -9*t**2 + 18*t - 15. Let w(n) = z*p(n) - 6*h(n). Factor w(c).
-3*(c - 3)*(c - 1)
Factor -3/4*z**3 - 4*z**2 + 3*z + 0.
-z*(z + 6)*(3*z - 2)/4
Suppose -41*l - 21*l + 407 - 107 = -2*l. Find u, given that -8/3*u**l - 80/3*u**3 + 16/3*u - 44/3*u**2 + 16/3 - 44/3*u**4 = 0.
-2, -1, 1/2
Let z be (560/1260)/(4/(-39)) - -9. Find o such that 0 + 2/3*o**2 + 0*o + z*o**3 = 0.
-1/7, 0
Let s be (8/9)/((-28)/(-126)). Factor -36*y**2 + s*y + 10*y**3 + 4*y**2 + 10*y**2 + 0*y**2.
2*y*(y - 2)*(5*y - 1)
Let 2/7*q**2 - 30/7*q - 68/7 = 0. Calculate q.
-2, 17
Let h(q) be the first derivative of -q**5/40 + 19*q**4/24 - 115*q**3/12 + 225*q**2/4 - 183*q - 104. Let a(o) be the first derivative of h(o). Factor a(g).
-(g - 9)*(g - 5)**2/2
Let m(t) be the first derivative of -2*t**3/21 - 2*t**2 + 1950*t/7 + 8883. What is b in m(b) = 0?
-39, 25
Let w(y) be the third derivative of 1/1008*y**8 + 0*y - 1/120*y**6 + 0*y**3 - 1/18*y**4 + 0 - 1/315*y**7 + 52*y**2 + 2/45*y**5. Factor w(t).
t*(t - 2)*(t - 1)**2*(t + 2)/3
Factor 1/6*s**4 - 9/2*s**2 - s**3 + 0 + 0*s.
s**2*(s - 9)*(s + 3)/6
Let p(w) be the third derivative of 0 - 19/84*w**4 - 1/420*w**5 + 0*w + 21*w**2 - 361/42*w**3. What is t in p(t) = 0?
-19
Let p = 4999/4878 + -82/271. Let l(x) be the second derivative of -21/5*x**5 + 0 - p*x**4 - 9/5*x**6 - 17*x + 28/9*x**3 - 4/3*x**2. Solve l(v) = 0 for v.
-1, 2/9
Let w(b) be the third derivative of -1/70*b**7 - 44*b**2 + 0*b - 13/20*b**5 - 1/5*b**6 + 0 - 3/4*b**4 + 0*b**3. Factor w(v).
-3*v*(v + 1)**2*(v + 6)
Let v(f) be the first derivative of -f**5/12 + 95*f**4/24 + 50*f**3/3 - 7*f**2/2 + 8*f - 83. Let o(a) be the second derivative of v(a). Solve o(b) = 0 for b.
-1, 20
Suppose 3*w + 27 = 4*i, 0 = -0*i - 5*i + 2*w + 32. Suppose -i - 21 = -3*y. Factor -y*v**4 + 11 - 6*v**3 - 9 + 11*v**2 - 6 + 4*v.
-(v + 1)**2*(3*v - 2)**2
Factor -2/13*z**2 - 4424/13*z - 2446472/13.
-2*(z + 1106)**2/13
Let b be 313/(-3)*(14 - (-3 - -14)). Let c = -4693/15 - b. Find v such that 4/15*v**4 + c*v**5 + 0*v**3 + 0*v**2 + 0*v + 0 = 0.
-2, 0
Let p(y) = -17*y**3 + 4*y**2 + 6062*y - 117551. Let x(w) = -5*w**3 + 2*w**2 + 2020*w - 39186. Let g(r) = 2*p(r) - 7*x(r). Factor g(m).
(m - 28)**2*(m + 50)
Let y(m) = 4*m**2 - 15*m - 8. Let u be 39*((-10)/(-5))/2. Let v = -33 + u. Let b(q) = 2*q**2 - 8*q - 4. Let x(i) = v*y(i) - 11*b(i). Factor x(f).
2*(f - 2)*(f + 1)
Let v(h) = -12*h**4 - 65*h**3 - 63*h**2 + 58*h + 2. Let p(n) = 325*n**4 + 1755*n**3 + 1700*n**2 - 1570*n - 55. Let g(q) = -2*p(q) - 55*v(q). Factor g(i).
5*i*(i + 2)*(i + 5)*(2*i - 1)
Let h = 787 + -785. Determine d, given that 25*d**4 - 44*d**h - 15*d + 9*d**2 - 22 + 15*d**3 + 32 = 0.
-1, 2/5, 1
Let w(f) be the second derivative of f**6/60 - 9*f**5/80 + f**4/24 + 3*f**3/8 - f**2/2 + 40*f - 2. Let w(s) = 0. What is s?
-1, 1/2, 1, 4
Find z, given that -220/13*z + 2/13*z**2 + 432/13 = 0.
2, 108
Let b = -5649 - -5654. Let p(j) be the third derivative of 0*j - 3/140*j**7 + b*j**2 + 29/240*j**6 + 1/12*j**4 + 0 - 1/5*j**5 + 0*j**3. Factor p(g).
-g*(g - 2)*(g - 1)*(9*g - 2)/2
Let o(d) = -d**3 + 29*d**2 - 26*d - 46. Let r be o(28). Suppose -r*a**4 + 2*a**2 + a + 22*a**4 + 7*a**3 - a**2 - 8*a - 13*a**4 = 0. Calculate a.
-1, 0, 1, 7
Suppose -48*r = -26*r - 792. Solve 13*v**2 - 60*v - 27 - 10*v**2 + r*v = 0 for v.
-1, 9
Find x, given that 2/15*x**2 + 2072/15*x + 536648/15 = 0.
-518
Let j(i) be the first derivative of -i**4/22 - 76*i**3/11 - 224*i**2/11 + 6970. Factor j(s).
-2*s*(s + 2)*(s + 112)/11
Let v(k) be the first derivative of -k**4/7 + 992*k**3/7 - 276768*k**2/7 - 2407. Factor v(s).
-4*s*(s - 372)**2/7
Factor -18*a**2 + 119 - 13*a**2 + 3*a**2 + 29*a**2 - 120*a.
(a - 119)*(a - 1)
Let o = -1693 + 1678. Let j be ((-49350)/260)/o + (-4)/26. Solve 5/2*g**4 + 25/2*g**3 - j*g + 15/2*g**2 - 10 = 0.
-4, -1, 1
Let j(o) = -o**2 + 17*o - 46. Let m be j(11). Suppose -m = -3*u + 4*f, 4*u = 3*u - 5*f - 25. Factor -1/4*d + u + 3/4*d**3 - 1/2*d**2.
d*(d - 1)*(3*d + 1)/4
Let v be (33/(-12))/(3/(-48)). Find s such that 4*s - 4*s**2 - 12*s + v*s**3 - 16*s**4 + 12*s**5 - 28*s**4 + 0*s**2 = 0.
-1/3, 0, 1, 2
Let m be 208/10 - (-23 - (-58 - -27)). Find d such that 4/5*d**2 + m - 24/5*d**3 + 96/5*d + 4/5*d**4 = 0.
-1, 4
Let w(t) be the third derivative of 11*t**5/4 - 9745*t**4/24 + 295*t**3/3 - 2654*t**2. Let w(j) = 0. Calculate j.
2/33, 59
Let y(k) = 6*k**4 + 114*k**3 - 438*k**2 + 302*k - 32. Let d(b) = b**4 + 23*b**3 - 87*b**2 + 60*b - 6. Let i(l) = 16*d(l) - 3*y(l). Factor i(o).
-2*o*(o - 9)*(o - 3)*(o - 1)
Let l(t) be the first derivative of t**5/10 + 9*t**4/8 + 4*t**3/3 + 2675. Factor l(a).
a**2*(a + 1)*(a + 8)/2
Let l = -84843/4 + 21211. Let k(y) be the second derivative of 0 + 8*y - 45/2*y**2 - 35/12*y**4 - l*y**5 - 25/2*y**3. Suppose k(x) = 0. Calculate x.
-3, -1
Suppose 605 = 9*l - 14*l - 5*x, -3*l - 4*x - 358 = 0. Let k be ((-9)/(l/4))/((-5)/(-35)). Suppose 0 - 8/15*w + 2/15*w**k = 0. What is w?
0, 4
Let s = -85112/3 - -28384. Let n(q) be the second derivative of 0*q**2 + 0 - s*q**3 + 29*q - 1/4*q**5 - 10/3*q**4. Solve n(g) = 0.
-4, 0
Let g(a) be the first derivative of -a**5/5 - 187*a**4/2 - 9117. Factor g(z).
-z**3*(z + 374)
Let j(b) = -43*b**4 + b**3 - b**2 - 1. Let g(v) = 210*v**4 - 195*v**3 - 515*v**2 + 190*v + 530. Let m(q) = g(q) + 5*j(q). What is k in m(k) = 0?
-35, -3, -1, 1
Suppose 17*d - 56 = -11*d. Let -177*s**2 + 358*s**d + 2*s**4 - 211*s**2 + 72*s - 4*s**3 = 0. What is s?
-4, 0, 3
Let n(d) be the second derivative of -1/3*d**4 - 16/3*d**3 - 284*d + 40*d**2 + 0. Solve n(j) = 0 for j.
-10, 2
Let 72/7*d - 8/7*d**3 - 2/7*d**4 + 54/7 + 12/7*d**