x**4 - 4/3*x**k + 16/9*x - 16/9*x**3 + 16/9 = 0.
-2, -1, 1
Factor -74*w**2 - 15*w**3 + 68*w - 12*w**3 - 3 + 147 + 42*w**3 - 13*w**3.
2*(w - 36)*(w - 2)*(w + 1)
Let x(z) be the first derivative of z**6/135 - z**5/9 + 37*z**4/54 - 20*z**3/9 + 4*z**2 + 80*z + 219. Let u(n) be the first derivative of x(n). Factor u(c).
2*(c - 3)**2*(c - 2)**2/9
Let s(o) be the second derivative of 196/3*o**2 - 14*o**3 - 1/60*o**5 + 0 + 5/6*o**4 + 86*o. Suppose s(q) = 0. Calculate q.
2, 14
Let m be -13 - 42/(-7) - -6. Let j be (-11 + (m - -6))/(-3). Suppose -4/3 - 2/3*a + 2/3*a**j = 0. Calculate a.
-1, 2
What is r in -16*r - 12/5*r**5 - 156/5*r**2 - 68/5*r**4 - 148/5*r**3 - 16/5 = 0?
-2, -1, -2/3
Suppose -4*t - j + 21 = 0, 3*t - 2*j = -t + 6. Let b = 2/23285 - -23281/46570. Determine h so that 0*h**2 + 1/2*h**3 + 1/4*h**t - 1/4 - b*h = 0.
-1, 1
Let c = 753254 - 1506507/2. Factor 15/4 - 31/4*m + c*m**2.
(m - 15)*(2*m - 1)/4
Suppose -9*j + 575 = 647. Let p be (363/(-968))/(1/j). Solve 1/2*h**4 - 3/8*h + 0 + 5/8*h**p - 1/4*h**2 = 0.
-1, 0, 3/4
Let c = -946 - -6623/7. Suppose -c*m**2 + 6/7 - 5/7*m = 0. Calculate m.
-6, 1
Let h(y) be the first derivative of -3*y**5/5 - 27*y**4 + 155*y**3 - 297*y**2 + 240*y + 3279. Factor h(w).
-3*(w - 2)*(w - 1)**2*(w + 40)
Let d be 0 + (-194)/(-8) - (-6)/8. Factor -4*k**2 + 9*k**2 - 1 + 0*k**2 + 21 - d*k.
5*(k - 4)*(k - 1)
Let a(c) be the third derivative of c**5/180 + 67*c**4/24 - 101*c**3/9 - 653*c**2. Suppose a(r) = 0. Calculate r.
-202, 1
Factor 0*b - 2/11*b**5 + 20/11*b**4 + 0*b**2 + 0 - 32/11*b**3.
-2*b**3*(b - 8)*(b - 2)/11
Let v = -73084/5 - -438509/30. Find l such that 13/6*l + v*l**2 - 7/3 = 0.
-14, 1
Let c(t) be the first derivative of 2*t**2 + 49 - 2/21*t**3 + 0*t. Factor c(l).
-2*l*(l - 14)/7
Find r such that 104/7*r + 1/7*r**4 + 22/7*r**3 - 100/7*r**2 + 0 = 0.
-26, 0, 2
Let b be -5 - ((-90)/(-15) - 6 - 7). What is n in 0*n + 3/8*n**b + 0 = 0?
0
Solve -5*o**4 + 5*o**3 + 347*o + o**5 - o**3 + 16*o**2 - 188*o - 191*o + 16 = 0 for o.
-2, 1, 2
Let m(l) be the second derivative of -l**6/165 + 41*l**5/11 - 9316*l**4/11 + 2515046*l**3/33 + 2571353*l**2/11 + 2*l - 133. Factor m(g).
-2*(g - 137)**3*(g + 1)/11
Let u = 137 - 132. Determine p, given that -43*p + 19*p + 7*p**4 + 6*p**3 - u*p**4 - 8*p**2 = 0.
-3, -2, 0, 2
Let u(g) be the second derivative of -g**7/14 - 29*g**6/2 - 5292*g**5/5 - 29376*g**4 - 55296*g**3 - 5053*g. Find h such that u(h) = 0.
-48, -1, 0
Let y(g) be the second derivative of -5*g**7/42 + 3*g**6/2 - 6*g**5 + 25*g**4/3 - 3105*g. Factor y(v).
-5*v**2*(v - 5)*(v - 2)**2
Let p(q) be the second derivative of -q**5/180 + q**3/18 + 23*q**2/2 - 64*q. Let a(w) be the first derivative of p(w). Factor a(f).
-(f - 1)*(f + 1)/3
Let u be (12/(-3) - -3)*6*1 - -9. Factor 3/8*c**4 - 3/8*c**2 - u*c + 3*c**3 + 0.
3*c*(c - 1)*(c + 1)*(c + 8)/8
Let o(h) be the third derivative of -1/180*h**5 - 1/72*h**3 + 1/48*h**4 + 1/504*h**7 + 0 - 1/240*h**6 + 134*h**2 + 0*h. Find s such that o(s) = 0.
-1, 1/5, 1
Suppose 207*n + 56*n = 0. Let y(d) be the first derivative of n*d - 4/3*d**3 - 2 + 0*d**2. Factor y(v).
-4*v**2
Solve -115*z**4 - 356*z**3 - 180*z**2 + 19*z**4 + 3915*z**5 - 76*z**4 - 3911*z**5 = 0.
-1, 0, 45
Factor -3/2*g - 5/4*g**3 + 0 + 17/4*g**2.
-g*(g - 3)*(5*g - 2)/4
Factor 512*s - 224*s**2 + 0 - 31/2*s**3 - 1/4*s**4.
-s*(s - 2)*(s + 32)**2/4
Let d = -389 + 412. Let u(j) = -8*j + 186. Let g be u(d). Solve 2/11*x**3 - 8/11*x**g + 0 + 0*x = 0 for x.
0, 4
Let s(j) = -j**3 + 7*j**2 + 12*j + 1. Let a be s(7). Let l = a - 82. Suppose -355*c**5 + 1 - 2*c**2 - 4*c - 1 + 46*c**l + 2*c**4 + 313*c**5 = 0. Calculate c.
-1, -2/7, 0, 1/3, 1
Let c = 1/989080 - -593447/989080. Solve -13/5*b + c*b**3 - 6/5 + 16/5*b**2 = 0.
-6, -1/3, 1
Suppose 2*v + 6*p - 108 = 0, 2*v - 45 = 4*v - 3*p. Let -250/11 + 2/11*m**v + 150/11*m - 30/11*m**2 = 0. Calculate m.
5
Let j(g) be the second derivative of 32*g - 32*g**2 - 16*g**3 - 1/5*g**5 - 3*g**4 + 0. Determine s, given that j(s) = 0.
-4, -1
Let b(q) be the second derivative of 0 + 7*q**4 + 10976*q**2 - 1/20*q**5 - 392*q**3 - 142*q. Factor b(c).
-(c - 28)**3
Let a(b) = -b**2 + 43*b. Suppose -58*u + 27 = -67*u. Let w(k) = -8*k**2 + 300*k. Let v(h) = u*w(h) + 20*a(h). Solve v(i) = 0.
0, 10
Let j(z) = -z**2 - z - 1. Let g(c) = -12*c**2 - 12*c - 21. Let p = 87 - -6. Let y = 94 - p. Let v(b) = y*g(b) - 15*j(b). Find f, given that v(f) = 0.
-2, 1
Let h(f) = -2*f**2 + f. Let d(v) = -3*v**2 - 5*v + 7. Suppose -23*b + b + 66 = 0. Let g(q) = b*d(q) - 3*h(q). Let g(j) = 0. Calculate j.
-7, 1
Let i(a) = a**2 + 4*a + 7. Let v be i(-3). Suppose -4*z + 4*j = v, 5*j + 5 = 10*j. Solve z*t + 9/4*t**3 + 0 - 3/2*t**2 - 3/4*t**4 = 0 for t.
0, 1, 2
Let d(r) be the second derivative of 0 - 4*r**3 - 21/2*r**2 + 73*r - 1/4*r**4. Factor d(l).
-3*(l + 1)*(l + 7)
Factor 792/23*u - 2/23*u**2 - 790/23.
-2*(u - 395)*(u - 1)/23
Let p(x) be the first derivative of x**3/12 - 111*x**2/8 - 1232. Suppose p(q) = 0. Calculate q.
0, 111
Suppose 94 - 48 + 4*i + 3*i**2 - 20*i + 3*i**3 - 2*i**3 - 34 = 0. What is i?
-6, 1, 2
Let h(x) be the first derivative of 2*x**3/21 + 2396*x**2/7 + 2870408*x/7 - 1836. Suppose h(r) = 0. Calculate r.
-1198
Suppose 21*o - 70 = 56. Let m(t) be the first derivative of 1/8*t**4 + 0*t**5 + 0*t**3 - 1/8*t**2 + 0*t - 15 - 1/24*t**o. Factor m(g).
-g*(g - 1)**2*(g + 1)**2/4
Let j = 76751/191790 + -7/38358. Determine k so that -36/5*k**2 + 0*k + 0 + j*k**3 = 0.
0, 18
Let c be (4630/5)/1 - 2*-1. Solve c*a**5 + 2*a - 924*a**5 - 8*a**3 + 2*a = 0.
-1, 0, 1
Determine m, given that -27/4*m**4 - 3/8*m**5 + 0 - 1089/8*m - 27/2*m**3 + 627/4*m**2 = 0.
-11, 0, 1, 3
Let i(t) be the second derivative of -t**4/12 + 3743*t**3/3 - 14010049*t**2/2 - 11*t - 578. What is r in i(r) = 0?
3743
Let n(v) be the first derivative of 2/27*v**3 + 130 - 8/9*v**2 + 14/9*v. Factor n(s).
2*(s - 7)*(s - 1)/9
Let f(x) = x**3 - x**2 - x - 2. Let v(l) = -5*l**3 - 79*l**2 + 374*l + 4. Let j(r) = 2*f(r) + v(r). Determine w, given that j(w) = 0.
-31, 0, 4
Let o be -33 + 2 + (-9 - (1 + -9)). Let l be (18/(-12))/(12/o). Factor 16/5 - 2/5*d**3 - 12/5*d**2 + 2/5*d**l + 8/5*d.
2*(d - 2)**2*(d + 1)*(d + 2)/5
Let x(b) = 5*b**3 + 17*b**2 - 22*b - 15. Let q(z) = -19*z**3 - 70*z**2 + 85*z + 59. Let u(v) = 6*q(v) + 22*x(v). Factor u(c).
-2*(c - 1)*(c + 12)*(2*c + 1)
Let r(u) be the first derivative of 2*u**5/45 - 26*u**3/27 - 4*u**2/3 + 1686. Let r(i) = 0. What is i?
-3, -1, 0, 4
Let s(g) = -1091*g + 6546. Let r be s(6). Let x(t) be the third derivative of t**2 + 1/180*t**6 + r + 49/36*t**4 + 0*t + 7/45*t**5 + 0*t**3. Factor x(d).
2*d*(d + 7)**2/3
Let v be 2365/(-770) + 2 + 1. Let s = v + 173/70. Determine w so that s + 3*w**2 - 36/5*w = 0.
2/5, 2
Let t(c) = -17*c - 442. Let o be t(-29). Let p be (o/(-9) + 3)*(-9)/12. Suppose -12/5*d**p + 12/5*d**4 + 6/5*d**3 - 6/5*d**5 + 0*d + 0 = 0. What is d?
-1, 0, 1, 2
Suppose 16 = 9*l - 11. Let -20*o**2 + 5*o**l + 9*o + 2*o + 4*o = 0. Calculate o.
0, 1, 3
Suppose 128*a**3 + 883*a**5 + 902*a**5 + 132*a**4 - 1781*a**5 = 0. Calculate a.
-32, -1, 0
Let b be (-42)/924*(-66)/78 - 202/(-156). Suppose -2*j - 2*l = -3*l - 23, -49 = -4*j - l. Factor -b*p**2 - j*p + 40/3.
-4*(p - 1)*(p + 10)/3
Suppose 154 = -48*c + 70*c. Let m be 2/11 - (-20)/11. Factor 11*g - 4*g - c*g - g**m.
-g**2
Let z(w) be the second derivative of 97/15*w**4 + 128/5*w**2 + 2/75*w**6 + 0 - 18/25*w**5 + 32*w - 96/5*w**3. Let z(h) = 0. What is h?
1, 8
Let h(g) be the first derivative of 8/5*g**2 + 4/15*g**3 + 0*g - 25 - 4/25*g**5 - 4/5*g**4. Find t such that h(t) = 0.
-4, -1, 0, 1
Let v(z) = -z**3 + 2*z**2 + 7*z + 2. Let r be v(-2). Solve 6*n - 30*n**3 - 1 + 2 + 28*n**3 - 4*n - n**r = 0.
-1, 1
Factor -430*z + 1755*z - 374*z + 3*z**2 - 411*z.
3*z*(z + 180)
Let m(p) = 13*p**2 + p - 1. Let t(h) = 3*h**3 + 2475*h**2 + 494511*h - 3. Let k(y) = 3*m(y) - t(y). Factor k(c).
-3*c*(c + 406)**2
Factor 12*g - 668*g**2 + 50*g - 177 + 667*g**2.
-(g - 59)*(g - 3)
Let c = 2477 + -2474. Let x(u) be the second derivative of -8*u - 12*u**2 + 2/3*u**c - 1/72*u**4 + 0. Solve x(i) = 0 for i.
12
Let c(o) be the third derivative of 4/3*o**3 - 6 - 2/15*o**5 + 1/60*o**6 - 1/12*o**4 + 0*o - 9*o**2. Factor c(p).
2*(p - 4)*(p - 1)*(p + 1)
Let h be (-14)/10*-23 - (-3736 + 3749). Find b such that -h*b - 3/