y + 9*y**5 - 287*y**2 + 375 - 6*y**5.
3*(y - 5)**3*(y - 1)*(y + 1)
Let w be (-2)/(-6) + ((-480)/24 - -21). Let s(j) be the first derivative of -6*j**2 - 1 + 8*j + w*j**3. Find o, given that s(o) = 0.
1, 2
Let p = -24 - -28. Suppose 7*s = -x + 2*s - 3, -p*x - 3*s + 5 = 0. Factor 0 - 2/7*w**x - 6/7*w.
-2*w*(w + 3)/7
Let i(m) be the first derivative of 3*m**6/5 + 168*m**5/25 + 83*m**4/5 - 56*m**3/3 + 5*m**2 + 266. Find u, given that i(u) = 0.
-5, 0, 1/3
Let j(a) be the first derivative of a**6/24 + 13*a**5/4 + 845*a**4/8 + 10985*a**3/6 + 23*a**2 + 12. Let l(n) be the second derivative of j(n). Factor l(b).
5*(b + 13)**3
Let q = -6 + 12. Let b(c) = 2*c**2 + 14*c + 50. Let a(t) = -2*t. Let k(p) = q*a(p) - 2*b(p). Determine g, given that k(g) = 0.
-5
Let f(c) be the third derivative of c**5/120 - 11*c**4/48 + 4*c**2 - 3. Suppose f(v) = 0. What is v?
0, 11
Suppose 0 = 4*s - s + 93. Let h = s - -31. Factor 0 - 3/4*r**3 + 0*r + h*r**2.
-3*r**3/4
Let w be -7 + (-3530)/(-270) + -6. Let n(d) be the first derivative of -w*d**3 + 8 - 2/9*d**2 - 2/9*d. Factor n(o).
-2*(o + 1)**2/9
What is s in 208/3*s**2 - 828*s - 1944 - 4/3*s**3 = 0?
-2, 27
Let y(f) be the first derivative of 1/2*f**4 + 0*f - 2/5*f**5 - 1 + 0*f**2 + 0*f**3. Factor y(h).
-2*h**3*(h - 1)
Let u = 963/4 + -757/4. Let b = u + -51. Determine m so that 3/2 + 5/2*m + 1/2*m**2 - b*m**3 = 0.
-1, 3
Let m be (5/10)/(1/6). Let w(k) = 6*k + 1. Let u be w(1). Let -2 - 2 + u*p - 13*p + 2*p**m = 0. Calculate p.
-1, 2
Let a be 0/((-4)/(-4)) - (-5 + 2). Let d - d + 8*d**a - 9*d**3 = 0. What is d?
0
Suppose 4*v + 40 = -4*g, -g = -3*v - 0*v + 22. Let k = g - -19. Let -5*m**5 + 39*m**2 + 96*m**4 + k*m + 14*m**5 + 15*m**5 + 12*m**5 + 93*m**3 = 0. Calculate m.
-1, -2/3, -1/2, 0
Let b be (1 + -11)/5 - 9. Let u be (b/(-3))/(-1 + 2). Suppose 1/3*k - 2/3 + u*k**3 + k**4 + 11/3*k**2 = 0. What is k?
-2, -1, 1/3
Let j = 15 - 13. Suppose -6*r = -j*r - 28. Factor r + 2*l**5 - 2*l**2 - 7 + 2*l**4 - 2*l**3.
2*l**2*(l - 1)*(l + 1)**2
Suppose -2*b - 3 = -9. Suppose 172 + 478 = 30*d + 100*d. Factor 18/7*q**b + 12/7*q**2 + 0 + 12/7*q**4 + 3/7*q + 3/7*q**d.
3*q*(q + 1)**4/7
Let j = -227 + 81. Let k = -143 - j. Find v such that 3/2*v**k - 3*v + 3/2*v**2 + 0 = 0.
-2, 0, 1
Let f = -50/1023 + 2996/19437. Factor -8/19*u**2 + 8/19*u**3 - f*u**4 + 0 + 0*u.
-2*u**2*(u - 2)**2/19
Let h(k) be the third derivative of k**5/48 - 5*k**4/24 - 5*k**3/2 + 290*k**2. Let h(j) = 0. What is j?
-2, 6
Let l(u) be the first derivative of 13*u**6/600 - 3*u**5/25 - u**4/10 - 8*u**3/3 - 8. Let v(j) be the third derivative of l(j). Factor v(t).
3*(t - 2)*(13*t + 2)/5
Let b(n) = n**3 + 20*n**2 - 22*n - 21. Let w be b(-21). Let z(f) be the first derivative of 3 + 1/3*f**3 + 1/8*f**4 + w*f**2 + 0*f. Find s such that z(s) = 0.
-2, 0
What is b in 0*b**3 - 18/13*b**2 + 24/13 + 8/13*b + 2/13*b**4 = 0?
-3, -1, 2
Suppose -4*g - 3*g = -14. Suppose -4*p = 0, -g*w + 6*p = p. Factor 0 + 2/7*h**3 + w*h + 0*h**2 - 2/7*h**4.
-2*h**3*(h - 1)/7
Let i = -19165/4 - -4792. Factor 0*y**3 - 3/4*y**4 + i*y**2 + 0 + 0*y.
-3*y**2*(y - 1)*(y + 1)/4
Let s(j) be the first derivative of -j**6/39 - 18*j**5/65 + 16*j**3/3 - 48*j**2/13 - 288*j/13 + 38. Find l such that s(l) = 0.
-6, -1, 2
Let r(j) = 2*j**3 - 64*j**2 + 306*j - 388. Let o(g) = g**3 + g - 2. Let h(v) = -2*o(v) - r(v). Solve h(w) = 0.
2, 7
Let t(f) be the third derivative of f**8/1344 - 4*f**7/105 + 61*f**6/480 - f**5/8 + 3*f**2 + 18*f. Determine x, given that t(x) = 0.
0, 1, 30
Factor 1/3*i**3 + 4/3*i**2 + i + 0.
i*(i + 1)*(i + 3)/3
Let -13*m - 8*m - 24 - 2*m**2 + 5*m = 0. Calculate m.
-6, -2
Let j = 9 - 4. Suppose -3*w = -j - 1. Find m, given that 0*m**2 - 4*m + 4*m**3 - m**w - 2 + 9*m**2 - 6*m**4 + 0*m**2 = 0.
-1, -1/3, 1
Let s(p) be the first derivative of p**6 - 17/14*p**4 + 22/7*p**3 - 8/7*p - 5 - 4/7*p**2 - 58/35*p**5. What is w in s(w) = 0?
-1, -2/7, 2/3, 1
Let h(p) be the third derivative of -4/135*p**5 + 7/108*p**4 + 0 + 11*p**2 + 0*p - 2/27*p**3 + 1/180*p**6. Factor h(v).
2*(v - 1)**2*(3*v - 2)/9
Let j(s) be the second derivative of -s**7/42 + 2*s**6/15 + 13*s**5/10 + 11*s**4/3 + 31*s**3/6 + 4*s**2 + 4*s - 4. Factor j(q).
-(q - 8)*(q + 1)**4
Let v(u) be the first derivative of -u**3/8 + 27*u**2/16 - 21*u/4 + 87. Factor v(a).
-3*(a - 7)*(a - 2)/8
Determine b, given that 4*b**2 + 0 + 2/3*b**3 + 0*b = 0.
-6, 0
Let g(p) be the first derivative of -3*p**4/16 - p**3 - 15*p**2/8 - 3*p/2 + 24. Find m such that g(m) = 0.
-2, -1
Suppose 10*o = 5*o + 25. Factor o*g**2 - 32*g + 0*g**2 - 9*g**2 + 48 + 4*g**3 + 0*g**3.
4*(g - 2)**2*(g + 3)
Let y(o) be the first derivative of -8 + o**3 - 6*o**2 + 16*o - 1/16*o**4. Suppose y(i) = 0. What is i?
4
Let m(b) = -5*b. Let q be m(-5). Let x = -22 + q. Factor -8*r + 8*r + x*r**2 - 4*r**3 + r**2.
-4*r**2*(r - 1)
Let y be 3/5 + 36/(-135). Let i(m) be the first derivative of -3 - y*m**3 - 2*m**2 - 3*m. Factor i(o).
-(o + 1)*(o + 3)
Let c(k) = -k**3 - 5*k**2 - k. Let z be c(-5). Let d(b) be the first derivative of z + 16/9*b + 4/9*b**3 + 1/18*b**4 + 4/3*b**2. Factor d(h).
2*(h + 2)**3/9
Let i be -10 - (-44)/16 - (-2 + -6). Solve -3/2*a - 3/4*a**2 - i = 0.
-1
Let f(l) be the second derivative of -14*l**6/15 - 404*l**5/5 - 5344*l**4/3 + 9440*l**3 - 7200*l**2 + 35*l - 1. Determine m, given that f(m) = 0.
-30, 2/7, 2
Let p be (-7)/(98/6) + (-324)/(-322). Let i = -10/23 + p. Factor 0*f**2 + 0*f + i*f**3 - 1/7*f**4 + 0.
-f**3*(f - 1)/7
Factor 35/4*y**2 + 24*y - 9 + 3/4*y**3.
(y + 6)**2*(3*y - 1)/4
Let n(m) be the third derivative of 0 + 0*m + 25/168*m**8 - 23/30*m**5 - 2/3*m**4 + 11/21*m**7 + 51*m**2 + 4/3*m**3 + 19/60*m**6. Determine a so that n(a) = 0.
-1, 2/5
Solve -46322/3*m**2 - 4105/3*m**3 - 54872/3 + 105412/3*m - 1/3*m**5 - 112/3*m**4 = 0.
-38, 1
Let n(q) be the second derivative of 4*q**7/21 + 2*q**6/15 - 2*q**5 - 5*q**4/3 + 16*q**3/3 + 8*q**2 + 200*q. Let n(h) = 0. What is h?
-2, -1, -1/2, 1, 2
Let m = 742 - 5192/7. Factor -m*a**2 - 2/7 + 4/7*a.
-2*(a - 1)**2/7
Let n(y) = -y**3 + 10*y**2 + 10*y + 17. Let v be n(11). Factor -2*b + 4*b - 6*b**2 + v*b - 22*b**2.
-4*b*(7*b - 2)
Let o(j) = -2*j**2 - 8*j + 6. Let d(k) be the first derivative of k**3/3 + 4*k**2 - 5*k - 4. Let x(l) = 6*d(l) + 5*o(l). Find z such that x(z) = 0.
0, 2
What is f in -2/7*f**4 - 54/7*f**2 - 16/7 + 22/7*f**3 + 50/7*f = 0?
1, 8
Suppose -a - 10 = -6*a. Suppose a*o + 46 = 2*i, -i - 1 = 5*o - 18. What is f in -6*f**2 - 16*f**4 - 18*f**3 + 7*f**5 + i*f**2 + 15*f**3 - 4*f = 0?
-1, 0, 2/7, 1, 2
Let u be (-12)/(-9) + 80/(-96). Factor 0 + u*w**2 + 3/4*w**3 + 1/4*w**4 + 0*w.
w**2*(w + 1)*(w + 2)/4
Let g(j) be the first derivative of -j**5/25 - 4*j**4 - 728*j**3/5 - 10816*j**2/5 - 35152*j/5 + 318. Factor g(c).
-(c + 2)*(c + 26)**3/5
Let d be (0/1)/4 + -1. Let p be (-102)/(-21) - d/7. Let 8*z**5 - 5*z**3 - 4*z**p + 2*z**5 - z**5 = 0. Calculate z.
-1, 0, 1
Let c(s) = -12*s - 101. Let f be c(-9). Let i(d) be the first derivative of 0*d + 2*d**2 + 3*d**4 + 4/5*d**5 + 4*d**3 + f. Factor i(t).
4*t*(t + 1)**3
Factor i**2 + 23/10*i + 7/5 + 1/10*i**3.
(i + 1)*(i + 2)*(i + 7)/10
Let k(h) be the first derivative of h**3 - 75*h**2/2 + 72*h - 93. Find j such that k(j) = 0.
1, 24
Suppose x - i - 8 = 0, 5*x - 41 = 5*i - i. Suppose 2*w + k + 1 - x = 0, 5*w + 5*k - 25 = 0. Factor 5*p**2 + w + 0 + 2 + 12*p - 1.
(p + 2)*(5*p + 2)
Let w(x) be the third derivative of x**5/12 - 35*x**4/12 - 25*x**3/2 - 88*x**2. Solve w(r) = 0 for r.
-1, 15
Let j be 0 - -2 - (-64)/(-8). Let z be ((-45)/30)/(0 - j/(-8)). Factor 2/3*p + 2/3*p**z - 4/3.
2*(p - 1)*(p + 2)/3
Suppose -4*w = 2*v - 18, -2*w + 57*v = 61*v - 18. Let g(h) be the first derivative of -2/27*h**w + 2/3*h**2 - 2*h - 11. Factor g(c).
-2*(c - 3)**2/9
Let p be -18 - (3321/(-72) - -18). Factor 9/4*q + 1/8*q**2 + p.
(q + 9)**2/8
Let v(r) be the second derivative of -r**5/4 + r**4/12 + r + 25. Find f, given that v(f) = 0.
0, 1/5
Let a(j) be the third derivative of 4/945*j**7 - 1/1512*j**8 + 0*j**4 + 0*j - 1/108*j**6 + 0 + 1/135*j**5 - 5*j**2 + 0*j**3. Determine x, given that a(x) = 0.
0, 1, 2
Factor -2/11*n**3 + 0 + 6/11*n**2 + 8/11*n.
-2*n*(n - 4)*(n + 1)/11
Let x be -28*(-7)/112 - 1. Find h, given that -3/2*h + 3/4 + x*h**2 = 0.
1
Let z be (15/2)/(24*5/80). Let a(k) be the second derivative of 0*k**2 + 