+ 85*z - 91*z**4 + 30 = 0.
-1, 6
Let w(o) = -o**3 + 95*o**2 + 148*o - 4989. Let g be w(96). Suppose -21/2*s + 27/2*s**2 - 12 - 3/2*s**4 + 21/2*s**g = 0. Calculate s.
-1, 1, 8
Let o be (3*(-2)/(-20))/((-446)/(-20070)). Let x(q) be the first derivative of 17/18*q**3 - 23 - o*q - 21/4*q**2 - 1/24*q**4. Determine v, given that x(v) = 0.
-1, 9
Let b(g) be the third derivative of -9/4*g**5 + 0*g + 1/14*g**7 - 17/12*g**6 + 85/12*g**4 + 2*g**2 + 20*g**3 - 235. Find v, given that b(v) = 0.
-1, -2/3, 1, 12
Let y(o) be the first derivative of -5*o**3/3 - 180*o**2 + 740*o - 4682. Factor y(q).
-5*(q - 2)*(q + 74)
Let u(k) be the first derivative of 5*k**4/4 - 1130*k**3/3 + 63845*k**2/2 + 1686. Let u(n) = 0. Calculate n.
0, 113
Let x(a) = -10*a**4 + 338*a**3 - 1358*a**2 + 1354*a + 6. Let t(g) = 19*g**4 - 679*g**3 + 2719*g**2 - 2709*g - 11. Let v(f) = 6*t(f) + 11*x(f). Factor v(s).
4*s*(s - 85)*(s - 2)**2
Let g(w) be the second derivative of -4*w**4/39 + w**3/3 + 180*w**2/13 - 2596*w - 2. Find b, given that g(b) = 0.
-4, 45/8
What is b in 160*b**2 - 160 + 244*b**5 + 240*b**5 - 494*b**5 + 151*b**3 - 489*b**3 + 216*b + 132*b**4 = 0?
-4/5, 1, 2, 10
Let v(k) = -k**3 - 8*k**2 - 3*k - 16. Let o be v(-8). Suppose 1 + o = 3*f. Factor 12*t - 3*t**f + 1/2*t**4 + 8 + 1/2*t**2.
(t - 4)**2*(t + 1)**2/2
Suppose 3*f - f = 0. Suppose -2*p - 5*q + 11 = 0, 5*p - 12 = -f*p + 3*q. Let 151*w**3 + 4*w**4 - p*w - 160*w**3 - w**4 + 9*w**2 = 0. Calculate w.
0, 1
Let s(k) be the second derivative of -1/6*k**3 + 10*k**2 - 96*k - 2 - 1/12*k**4. Factor s(w).
-(w - 4)*(w + 5)
Let x(b) be the first derivative of -b**5/150 + 7*b**4/30 - 8*b**3/5 - b**2 + 15*b - 44. Let c(d) be the second derivative of x(d). Factor c(y).
-2*(y - 12)*(y - 2)/5
Let t(s) be the second derivative of 96*s + 0*s**3 + 1/126*s**7 + 0 + 0*s**4 + 1/15*s**5 - 1/18*s**6 + 0*s**2. Factor t(h).
h**3*(h - 4)*(h - 1)/3
Let g be (23 + -26)/(6/(-4)). Let 2105*w**2 - 10*w - 2109*w**2 + 4 + g*w**3 + 8 = 0. Calculate w.
-2, 1, 3
Let z(x) be the second derivative of x**6/45 + 1099*x**5/15 + 1209997*x**4/18 + 268156*x**3 + 401868*x**2 + 2167*x. Factor z(o).
2*(o + 1)**2*(o + 1098)**2/3
Let r be (-3484155)/(-2544948) + (-1 + 0)/28. Find l, given that 2/3*l**3 - 24 - 10*l + r*l**2 = 0.
-3, 4
Suppose 0 = -12*v - 50 - 22. Let k be v - -12*8/12. Factor -3*g - 9/2 + 3/2*g**k.
3*(g - 3)*(g + 1)/2
Let v be 0/(13 - (11 + -10 + 5)). Find f such that -2/7*f**4 + 8/7*f - 6/7*f**3 + 0 + v*f**2 = 0.
-2, 0, 1
Let h(i) be the third derivative of i**5/15 - 85*i**4/6 + 332*i**3/3 + 324*i**2 + 9. Factor h(o).
4*(o - 83)*(o - 2)
Suppose 2*u - 2791 = -2*s - u, -s = -5*u - 1415. Let f be (80/s)/((-4)/(-10)). Factor 1/7*h + 1/7*h**5 - 2/7*h**2 + f*h**4 - 2/7*h**3 + 1/7.
(h - 1)**2*(h + 1)**3/7
Factor -301*t - 5*t**2 + 1856 + 2901 - 9*t - 850 + 108.
-5*(t - 11)*(t + 73)
Suppose 930 + 71 = -13*s. Let v = s - -79. Factor 2*x - 4*x**2 - 9*x**v - 2*x**3 + 11*x**2 + 2*x**4.
2*x*(x - 1)**2*(x + 1)
Let u = 877351/3 - 292447. Find z, given that 2*z**2 - u*z + 4/3 = 0.
2/3, 1
Let p(f) = f**5 - f**4 - 5*f**3 - f**2 + 1. Let c(x) = 7*x**5 - 178*x**4 + 316*x**3 - 4*x**2 + 4. Let d(z) = c(z) - 4*p(z). Factor d(o).
3*o**3*(o - 56)*(o - 2)
Let n(o) be the third derivative of -o**6/60 - o**5/10 + 11*o**4/6 + 8*o**3 - 67*o**2 + 5*o. Suppose n(b) = 0. What is b?
-6, -1, 4
Suppose 25*n - 24*n + 5*i - 17 = 0, -5*n = -i - 7. Factor -4/3*l**3 + 8/3 - 2/3*l**n + 2/9*l**4 + 32/9*l.
2*(l - 6)*(l - 2)*(l + 1)**2/9
Determine m so that 26/3*m**3 - 1936/3 - 60*m**2 - 2/9*m**4 - 4312/9*m = 0.
-3, -2, 22
Let q(o) be the second derivative of -o**7/105 + 9*o**6/50 + 67*o**5/50 - 64*o**4/15 + 2*o**3/5 + 17*o**2/2 - 3018*o. Let q(i) = 0. Calculate i.
-5, -1/2, 1, 17
Let s(h) be the third derivative of 5*h**2 - 2*h - 35/24*h**4 + 0 - 1/24*h**5 - 65/12*h**3. Factor s(w).
-5*(w + 1)*(w + 13)/2
Suppose -m = -5*a - 9, 0 = 5*m + 3*a + a - 16. Suppose -m*r - 169 = -4*t - 37, -3*r - 64 = -2*t. Factor 64*p**2 + 8 + 8*p - t*p**2 - 27*p**2.
2*(p + 2)**2
Let z(m) be the third derivative of m**8/1680 - 4*m**7/525 - 79*m**6/300 + 128*m**5/75 - 523*m**4/120 + 88*m**3/15 + 2056*m**2 - m. Factor z(j).
(j - 16)*(j - 1)**3*(j + 11)/5
Let b(m) be the first derivative of -2*m**3/27 + 184*m**2/9 + 3329. Factor b(j).
-2*j*(j - 184)/9
Factor -112/3*t - 19/9*t**2 + 1/9*t**3 - 124.
(t - 31)*(t + 6)**2/9
Suppose 52/15*q**2 + 16/5 + 2/15*q**3 + 98/15*q = 0. What is q?
-24, -1
Let j be 634/30 + (-112)/840. Let a(y) be the third derivative of 0*y**5 + 8/35*y**7 + 0*y + 1/12*y**8 + j*y**2 + 0*y**3 - 2/15*y**6 + 0 + 0*y**4. Factor a(u).
4*u**3*(u + 2)*(7*u - 2)
Let p be (42/(-504))/((-56)/(-7140)*(-3)/8). Factor p*y - 25/3*y**2 - 5/3*y**3 + 35.
-5*(y - 3)*(y + 1)*(y + 7)/3
Let w(b) = 23*b**3 + 13*b**2 - 37*b - 27. Let r(v) = 33*v**3 + 19*v**2 - 55*v - 41. Let g(z) = -5*r(z) + 7*w(z). Factor g(i).
-4*(i - 2)*(i + 1)*(i + 2)
Solve -2/5*k**5 - 42*k**2 - 6/5*k**4 + 82/5*k**3 + 208/5*k - 72/5 = 0.
-9, 1, 2
Let d(v) be the first derivative of -v**4 + 500*v**3 - 93750*v**2 + 7812500*v + 714. Solve d(k) = 0 for k.
125
Let j be (-198)/756 - 39/(-91). Factor 1/2 - 1/2*a**2 + j*a - 1/6*a**3.
-(a - 1)*(a + 1)*(a + 3)/6
Factor -520/11 - 384/11*h - 2/11*h**3 - 6*h**2.
-2*(h + 2)*(h + 5)*(h + 26)/11
Let m be 1/3*4020/(-1400)*-14 + 5. What is p in -8/5*p**2 - 44/5 - m*p = 0?
-11, -1/2
Let f(t) be the first derivative of t**3/9 - 70*t**2/3 + 139*t/3 + 2662. Find x, given that f(x) = 0.
1, 139
Find z such that 222/5*z + 46/5*z**2 + 2/5*z**3 + 306/5 = 0.
-17, -3
Let b be 12/8*2 - 2/2. Factor 72*i**4 - 5*i**b - 140*i**4 + 83*i**4 + 10*i**3.
5*i**2*(i + 1)*(3*i - 1)
Let b(i) = -5*i**3 - 25*i**2 - 20*i - 20. Let a(d) = -3*d + 1. Suppose 67 - 66 = 4*r - 5*w, -w - 3 = 2*r. Let k(j) = r*b(j) - 5*a(j). Factor k(h).
5*(h + 1)**2*(h + 3)
What is d in -118/11*d + 184/11*d**2 - 76/11 + 10/11*d**3 = 0?
-19, -2/5, 1
What is n in 7745*n**2 - 8297*n**2 - 43*n**4 - 128 + 524*n**3 - 33*n**4 - 1280*n = 0?
-1, -2/19, 4
Let b = 2410978/69167 - 2/9881. Factor 4/7*g**4 + 144/7 - 48*g - 8*g**3 + b*g**2.
4*(g - 6)**2*(g - 1)**2/7
Suppose -426 = -573*b + 360*b. Factor -x**3 - 5*x**b + 5/3*x**4 + 19/3*x - 2.
(x - 1)**2*(x + 2)*(5*x - 3)/3
Suppose 2*d = -14*d + 1872. Suppose -113*x = -d*x. Let x + 2/7*l**3 + 8/7*l - 8/7*l**2 = 0. Calculate l.
0, 2
Let q(u) be the first derivative of -16/3*u + 4/3*u**2 - 1/9*u**3 - 174. Factor q(n).
-(n - 4)**2/3
Suppose -9*w + 64 = 18 + 10. Let v(c) be the first derivative of 2/35*c**5 + 13 - 2/7*c**2 + 10/21*c**3 - 2/7*c**w + 0*c. Factor v(n).
2*n*(n - 2)*(n - 1)**2/7
Let a(q) = -q**2 - q. Let m(h) = -5167*h**2 + 5170*h**2 + 3*h + 14*h. Let k(g) = -g**2. Let j be k(-1). Let b(t) = j*a(t) - m(t). Solve b(c) = 0.
-8, 0
Let q be ((-2)/(-10))/(3*(-6)/(-180)). Suppose 718*f**2 - 109*f**3 - 190 - 238*f**q - 15*f**5 + 39*f**3 + 85*f - 290*f**4 = 0. What is f?
-19, -1, 2/3, 1
Let s(y) be the second derivative of -17/15*y**3 + 17/30*y**4 + 1/75*y**6 - 61*y - 7/50*y**5 + 6/5*y**2 + 0. Factor s(c).
2*(c - 3)*(c - 2)*(c - 1)**2/5
Suppose -19/3*i + 1/3*i**2 + 28 = 0. Calculate i.
7, 12
Let d(y) be the first derivative of y**5/120 - 13*y**4/24 - 9*y**3/4 + 14*y**2 - 117. Let z(x) be the second derivative of d(x). Find k, given that z(k) = 0.
-1, 27
Let s be (2/5)/(9/270). Factor 8 - 18*o**2 - s*o**3 - 10 + 2 - 2*o**4.
-2*o**2*(o + 3)**2
Let v(z) = -z**3 - 45*z**2 + 2. Let n be v(-45). Solve -485*l - 2*l**2 + 0*l**2 - n*l**2 + 629*l + 304 = 0.
-2, 38
Let p(r) = r**2 - 88*r + 255. Let o be p(3). Let a(v) be the first derivative of o*v - 1/3*v**3 + 1/7*v**2 + 5/28*v**4 + 19. Factor a(q).
q*(q - 1)*(5*q - 2)/7
Let g(p) = -15*p**2 - 589*p - 566. Let z(s) = -6*s**2 - 198*s - 189. Let x(t) = 3*g(t) - 8*z(t). Solve x(k) = 0.
-1, 62
Let b = -15313 - -163502/11. Let u = -449 - b. Let 4/11*m**2 + 0 + u*m**3 + 2/11*m = 0. Calculate m.
-1, 0
Factor 210*g**2 - 837/2*g - 1/2*g**3 + 209.
-(g - 418)*(g - 1)**2/2
Let w = 5598 - 5592. Let v(u) be the third derivative of 0*u**7 + 1/112*u**8 + 0 - 1/8*u**w + 5*u**2 + 0*u**5 + 0*u + 1/2*u**4 + 0*u**3. Solve v(a) = 0 for a.
-2, -1, 0, 1, 2
Let o be 64/(-3)*6/(-4). Let q = -26 + o. Factor 0*v**2 - 4*v + 10*v - q + 2*v - 2*v**2.
-2*(v - 3)*(v - 1)
Factor -p**2 + 37/4*p - 75/4.
-(p - 3)*(4*p - 25)/4
Let q(y) be th