q**5/35 + 200*q**4/21 + 8*q**3/21 + 613*q - 1. Suppose s(u) = 0. What is u?
-2/3, -2/97, 0
Let s = -83 - -62. Let i be (-4)/(-6) - 826/s. Solve 33*w**2 + 32*w**5 - i*w**4 + 45*w**3 - 4*w**2 - 20*w - 57*w**5 + 11*w**2 = 0 for w.
-2, -1, 0, 2/5, 1
Let p be 10 + 67/(871/(-104)). Determine z so that -6/7 - 12/7*z**p + 2/7*z**4 + 0*z**3 + 16/7*z = 0.
-3, 1
Let l(y) be the first derivative of 0*y**4 + 1/360*y**6 - 3*y**3 + 0*y**2 + 15 + 0*y + 0*y**5. Let z(i) be the third derivative of l(i). Factor z(h).
h**2
Factor 5/6*l**4 + 20/3*l**3 - 10/3*l**2 + 0 - 80/3*l.
5*l*(l - 2)*(l + 2)*(l + 8)/6
Suppose 135*n = 126*n - 1683. Let d be ((-17)/(n/8))/1. Factor -d + 2/11*g**2 + 6/11*g.
2*(g - 1)*(g + 4)/11
Determine c so that -2538*c + 3182*c - 273*c**2 - 45*c**2 - 2*c**3 = 0.
-161, 0, 2
Suppose 5*t = 14*t - 18*t + 135. Let f(x) be the second derivative of -1/90*x**5 + t*x - 24*x**2 - 4*x**3 + 0 - 1/3*x**4. Let f(c) = 0. What is c?
-6
Determine m, given that -16/5*m**2 + 2/5*m**3 - 2/5*m + 16/5 = 0.
-1, 1, 8
Factor 17660*z**2 - 17657*z**2 - 390*z - 57 - 112 - 623.
3*(z - 132)*(z + 2)
Factor 48*q + 154*q - 220*q**2 + 14*q + 4*q**3.
4*q*(q - 54)*(q - 1)
Determine g so that -160*g**5 - 110*g**2 + 235*g**5 - 100*g**5 - 155*g**3 + 290*g**4 = 0.
-2/5, 0, 1, 11
Suppose 0 = -s + 3*c + 21, 9*s + 5*c = 5*s + 135. Factor 293*n**2 + s - 37*n - 290*n**2 + 4*n.
3*(n - 10)*(n - 1)
Let i be 0/(-6*7/(-42)). Find w such that -3*w**2 - 108*w + 1 + 26 + i*w**2 - 132 = 0.
-35, -1
Let b(j) be the third derivative of -j**5/60 + 11*j**4/12 + 2*j**3/3 - 22*j**2. Let v be b(22). Find k such that 2*k - 2 + 7 + v*k + 3*k**2 - 2 = 0.
-1
Let i(r) be the third derivative of r**6/540 + 19*r**5/135 + 37*r**4/108 - 1444*r**2 - 3*r. Suppose i(j) = 0. Calculate j.
-37, -1, 0
Let y(q) be the third derivative of q**6/60 + 7*q**5/6 + 32*q**4/3 + 124*q**3/3 + 614*q**2. Factor y(u).
2*(u + 2)**2*(u + 31)
Let h = -1662 + 1659. Let p be ((-5)/11)/((66/121)/h). Factor 2 - p*o + 1/2*o**2.
(o - 4)*(o - 1)/2
Factor 117*f**3 + 42*f + 181*f**2 + 21*f**5 + 33*f**4 - 58*f**2 - 24*f**5.
-3*f*(f - 14)*(f + 1)**3
Let k be (-13)/(-4) + (75/(-4))/25. Let s(u) = 3*u - 24. Let w be s(9). Factor -1/3*q + 0 + 7/6*q**5 - 19/6*q**4 + k*q**w - 1/6*q**2.
q*(q - 1)**3*(7*q + 2)/6
Let d(f) be the first derivative of -f**4/18 - 20*f**3/27 + f**2/9 + 20*f/9 - 2343. Determine r so that d(r) = 0.
-10, -1, 1
Let s be (275/(-33) - -8) + -4*(-35)/360. Let c(a) be the second derivative of 2/3*a**2 + 0 + s*a**4 + 1/3*a**3 - 19*a. Determine k, given that c(k) = 0.
-2, -1
Let j(c) be the third derivative of -c**5/60 - 125*c**4/3 - 125000*c**3/3 + 4*c**2 - 37*c + 3. Factor j(l).
-(l + 500)**2
Determine o, given that 27*o**4 - 59*o**4 + 24*o**4 - 2391*o**3 + 5*o**4 + 9597*o**2 - 12009*o + 4806 = 0.
-801, 1, 2
Let p(x) = 69*x + 121. Let q(z) = 17*z + 30. Let j(t) = 2*p(t) - 9*q(t). Let i be j(-2). Factor 0 - 1/4*a**i + 0*a.
-a**2/4
Let n(y) be the first derivative of 25*y**7/42 + 5*y**6/6 + 3*y**5/8 - 293*y**3/3 + 64. Let j(u) be the third derivative of n(u). Let j(c) = 0. What is c?
-3/10, 0
Suppose -44 + 44 = -29*a. Let j(v) be the first derivative of -7 - 1/3*v**6 + 0*v + 0*v**3 + a*v**2 + 2*v**4 + 0*v**5. Factor j(x).
-2*x**3*(x - 2)*(x + 2)
Let l(t) be the third derivative of -t**7/735 + t**6/60 - 3*t**5/35 + 5*t**4/21 - 8*t**3/21 + 5*t**2 - 158. Factor l(h).
-2*(h - 2)**3*(h - 1)/7
Let a(o) be the second derivative of -4/21*o**3 - 2/21*o**4 + 16/7*o**2 + 0 + 129*o + 1/70*o**5. Factor a(p).
2*(p - 4)*(p - 2)*(p + 2)/7
Let v(m) be the third derivative of -1/720*m**5 + 0*m + 0 + 11*m**2 + 0*m**4 - 1/6*m**3 - 1/2160*m**6. Let z(q) be the first derivative of v(q). Factor z(y).
-y*(y + 1)/6
Let c(x) = 20*x**2 + 30*x - 45. Let y(t) = 164 - t**2 - 164. Let p(k) = -c(k) - 25*y(k). Factor p(h).
5*(h - 3)**2
Suppose 4/7*z**2 - 120/7 + 52/7*z = 0. What is z?
-15, 2
Let i(v) be the first derivative of 3/4*v**3 + 23/40*v**5 - 88 + 1/8*v**2 + v**4 + 1/8*v**6 - 1/8*v. Suppose i(c) = 0. What is c?
-1, 1/6
What is m in -3*m**2 - 2*m + 289 - 8*m + 26 + 3*m**2 - 5*m**2 = 0?
-9, 7
Let q be -5 + (12 - 19) + 31. Suppose 2*a - 3*p = 18, 4*a - q = 3*p + 5. Factor 2*b**a + 1/5*b**5 - 27/5*b - 27/5 + 18/5*b**2 - 7/5*b**4.
(b - 3)**3*(b + 1)**2/5
Let r = 55/222 - 3/37. Suppose -86442*x + 86575*x - 266 = 0. Let -1/3*d + 1/6*d**x + r = 0. What is d?
1
Let p(v) = -11*v**3 - 2096*v**2 - 4271*v - 2158. Let n(t) = -4*t**3 - 698*t**2 - 1424*t - 720. Let k(c) = -14*n(c) + 5*p(c). Factor k(u).
(u - 710)*(u + 1)**2
Let m be 13*1 - 566*68/(-1224). Factor -8/3*u**2 - 320/9*u + 16/9*u**3 - 1/9*u**4 - m.
-(u - 10)**2*(u + 2)**2/9
Let p be (5 - 2)/(-1 + 3/(-6)). Let o(u) = u**2 - 1. Suppose -3 = -3*v + 15. Let a(j) = 4*j**2 - 7. Let d(r) = p*a(r) + v*o(r). Factor d(i).
-2*(i - 2)*(i + 2)
Let n = 296777 - 890330/3. Let -8/3 + 2/3*h**5 - 2/3*h**2 + 20/3*h - 13/3*h**3 + n*h**4 = 0. Calculate h.
-2, 1/2, 1, 2
Let b = 97424 - 97414. Find i, given that -36*i - b - 162/5*i**2 = 0.
-5/9
Let d(y) be the second derivative of 5*y**5/18 - 530*y**4/9 + 421*y**3/3 - 126*y**2 + 3278*y. Find q such that d(q) = 0.
3/5, 126
Let q(s) be the second derivative of 15/8*s**4 - 63/2*s**3 + 0 - 91*s + 147*s**2 - 3/80*s**5. Find c, given that q(c) = 0.
2, 14
Let f = 2/36459 - -48610/36459. Find s, given that 100/9*s**2 + 16/9*s - 16/3 - 56/9*s**3 - f*s**4 = 0.
-6, -2/3, 1
Let t = -44 - -42. Let j be (-3 + 30/9)/(t/(-48)). Factor 26*d + 3*d**3 + 3 - 2*d**3 + j*d**3 - 7*d + 33*d**2.
(d + 3)*(3*d + 1)**2
Let j(t) = 9*t**2 - 2*t - 208. Let b(n) = 2*n**2 + n - 12. Let f(a) = 20*b(a) - 5*j(a). Solve f(c) = 0 for c.
-10, 16
Suppose 33 = -4*n + 13, -n = 5*x - 5. Suppose x*k + 20 = 7*k. Factor -1/3 + 10/3*z**2 + 8/9*z + 8/3*z**3 + 5/9*z**k.
(z + 1)**2*(z + 3)*(5*z - 1)/9
Suppose 33*i - 67 = -67. Let v(q) be the first derivative of -20/3*q**3 + i*q - 15/2*q**4 + 5/6*q**6 + 22 + q**5 + 20*q**2. Factor v(n).
5*n*(n - 2)*(n - 1)*(n + 2)**2
Let w(g) be the third derivative of -g**5/140 - g**4/7 + 65*g**3/14 + 1369*g**2. Factor w(c).
-3*(c - 5)*(c + 13)/7
Let t be ((-1)/(14/(-8)))/(3474/1351). What is x in 14/9*x**2 + 10/9 + t*x**3 + 22/9*x = 0?
-5, -1
Factor -28/9*d - 4/9*d**3 + 0 - 32/9*d**2.
-4*d*(d + 1)*(d + 7)/9
Find y, given that -2577/5*y + 3/5*y**2 + 0 = 0.
0, 859
Let p be (-3095)/(-1238) + (-1)/(2/3*3). Find u, given that -p*u**2 + 2/7*u**3 + 4*u - 16/7 = 0.
1, 2, 4
Suppose -387*w + 631 = 244*w. Solve 17/4*i**3 - 5/4*i**5 + 3/4*i**4 + w - 19/4*i**2 + 0*i = 0 for i.
-2, -2/5, 1
Let g = 286 - 284. Factor -6*p**3 - 48*p**2 + 4*p + 25*p**2 + 29*p**g + p**4 - 8 + p**3.
(p - 2)**3*(p + 1)
Let u(f) be the second derivative of 1/4*f**3 - 5/48*f**4 - 4 - 9*f + 0*f**2 - 1/80*f**5. Suppose u(y) = 0. What is y?
-6, 0, 1
Solve -22*g**3 - 2537*g + 23*g**3 + 18 + 2526*g - 8*g**2 = 0 for g.
-2, 1, 9
Suppose -48 = 17*j - 133. What is b in 3*b**2 - 3*b**4 - 35*b**5 + 66*b**5 - 32*b**j + b**3 = 0?
-3, -1, 0, 1
Let c = 90835 + -90833. Suppose -1/4*q**3 - q**4 + 2*q**c - 1 + 1/8*q**5 + 1/8*q = 0. Calculate q.
-1, 1, 8
Suppose -13*h + 16*h = 15. Suppose -h*v = w - 60, 0*v + 5*v + 160 = 3*w. Find p, given that w*p**3 - 10*p**4 - 90*p**2 - 14 + 54 + 17*p + 3*p = 0.
-1/2, 2
Solve 27*o**2 - 11*o**2 + 8233 + 17 + 8245*o - 21*o**2 = 0.
-1, 1650
Suppose 73*d - 68*d = -3*j - 5, 4*d + j - 3 = 0. Determine r so that 128 - 9*r + 9*r + 13*r + 4*r**d + 28*r + 91*r = 0.
-32, -1
Solve 947889*k**2 + 12 - 57051*k**3 - 161649*k**3 - 6483*k - 419149*k**2 + 347680*k**2 = 0 for k.
1/270, 4
Suppose 0 = 2*t - 9*t + 455. Factor 182*r**2 + t*r - 70 - 89*r**2 - 88*r**2.
5*(r - 1)*(r + 14)
Factor -50/19*p + 2/19*p**2 + 308/19.
2*(p - 14)*(p - 11)/19
Suppose -293*d + 435*d = -335*d. Factor d + 2/9*c**5 + 0*c**2 - 2/9*c**3 + 0*c**4 + 0*c.
2*c**3*(c - 1)*(c + 1)/9
Let v(b) be the third derivative of 43*b**2 + 27/64*b**4 + 0 + 0*b**3 + 0*b + 1/160*b**5. Determine j, given that v(j) = 0.
-27, 0
Let b(n) be the second derivative of -n**4/42 - 15*n**3/7 - 416*n**2/7 + 2*n - 402. Factor b(g).
-2*(g + 13)*(g + 32)/7
Let q = 201 - 196. Suppose 10 = -9*t + 11*t - 2*w, 4*w = -t - q. Find f such that -2/3*f**4 + 0 + 2/15*f**5 + 6/5*f**t + 4/15*f - 14/15*f**2 = 0.
0, 1, 2
Let l(h) be the second derivative of -10*h**3/3 + 225*h**2/2 + h + 5. Let f be l(11). Let