 45/46 + 12/23. Let w = 1 + h. Suppose 5*n**2 + 1/2 - 5/2*n + w*n**4 - 5*n**3 - 1/2*n**5 = 0. What is n?
1
Let q = -427/3 - -4279/30. Let p(u) be the first derivative of -11 - 3/4*u**2 + 0*u + 3/8*u**4 - q*u**5 + 1/2*u**3. Factor p(x).
-3*x*(x - 1)**2*(x + 1)/2
Let u(y) be the third derivative of 0 - 1/60*y**5 + 0*y**4 + 6*y**2 + 0*y - 1/360*y**6 - 7/6*y**3. Let l(h) be the first derivative of u(h). Factor l(b).
-b*(b + 2)
Suppose -5 = -4*n - 1. Suppose -o + 4 = -n. Factor -4*p**5 - 2*p**4 + 0*p**5 + 3*p**o + 2*p**2 + 3*p**5 - 2*p**3.
2*p**2*(p - 1)**2*(p + 1)
Let z(s) be the first derivative of 2*s**3/51 - 18*s**2/17 - 126*s/17 - 520. Factor z(x).
2*(x - 21)*(x + 3)/17
Let b(j) be the second derivative of 3*j**5/110 - 20*j**4/33 - 29*j**3/33 + 14*j**2/11 - 18*j + 1. Solve b(y) = 0 for y.
-1, 1/3, 14
Let r(h) be the second derivative of 1/36*h**4 + 2*h + 0 + 1/252*h**7 + 0*h**2 - 1/90*h**6 + 0*h**3 - 1/120*h**5. Factor r(v).
v**2*(v - 2)*(v - 1)*(v + 1)/6
Suppose -3/5*w**3 + 0 - 27/5*w**2 + 6*w = 0. What is w?
-10, 0, 1
Determine g so that -5/3 + 3*g + 2/3*g**2 = 0.
-5, 1/2
Let u(t) be the second derivative of t**4 - 1/5*t**5 - 5*t + 0*t**3 + 0 - 8*t**2. Factor u(w).
-4*(w - 2)**2*(w + 1)
Let u = -329 + 5923/18. Let v(y) be the first derivative of -6 + u*y**6 + 1/12*y**4 + 2/15*y**5 + 0*y**2 + 0*y**3 + 0*y. Factor v(i).
i**3*(i + 1)**2/3
Suppose 572*f - 543*f = 174. Let n(b) be the first derivative of -3/2*b**2 + 0*b - 11 + 2*b**3 + 1/2*b**f - 6/5*b**5 + 0*b**4. Find r, given that n(r) = 0.
-1, 0, 1
Let u be ((-224)/98)/(2/(-7)) - 4. Let k(p) be the second derivative of 5/3*p**3 + 0*p**2 + 3*p + 0 + 5/12*p**u. What is i in k(i) = 0?
-2, 0
Factor 15*f**2 + 28 + f - 25 - 10*f - 7*f**3 - 2.
-(f - 1)**2*(7*f - 1)
Suppose 0 = -o + 2 + 1. Factor 4*u**3 + 0*u**3 + 15*u**2 + 3*u + 3*u**o + 5*u**3.
3*u*(u + 1)*(4*u + 1)
Let i(h) = -h**2 + 31*h + 268. Let f be i(-7). Factor -4/9 - 2/9*a + 2/9*a**f.
2*(a - 2)*(a + 1)/9
Let x be (5/(-4))/(-5) + 386/(-8). Let o = x + 145/3. Let -3 - o*a**2 - 2*a = 0. What is a?
-3
Let x = 543 - 543. Let v(g) be the third derivative of -1/660*g**6 - 8*g**2 - 1/132*g**4 + x*g**3 + 1/165*g**5 + 0 + 0*g. Factor v(d).
-2*d*(d - 1)**2/11
Factor -3/5*p**2 + 0 - 123/5*p.
-3*p*(p + 41)/5
Let a = 22 + -19. Factor 5 - 4 - 3*v**2 + a*v**2 - v**2.
-(v - 1)*(v + 1)
Let y(o) be the second derivative of 0 + 1/40*o**5 + 24*o - 1/120*o**6 + 0*o**3 + 0*o**2 - 1/48*o**4. Let y(w) = 0. Calculate w.
0, 1
Let b(g) be the second derivative of g**7/126 + 17*g**6/90 + 5*g**5/4 - 13*g**4/36 - 136*g**3/9 + 32*g**2 - 108*g. Find o, given that b(o) = 0.
-8, -3, 1
Suppose -5*h + 4*a + 18 = 0, 36 - 3 = 3*h + 5*a. Let v(s) = s - 1. Let x be v(3). Factor x - g - h - g**2 + 2 + 4*g.
-(g - 2)*(g - 1)
Let t(i) be the second derivative of -i**7/245 + i**6/84 - i**5/210 - i**4/84 - 3*i**2 - 10*i. Let n(x) be the first derivative of t(x). Factor n(y).
-2*y*(y - 1)**2*(3*y + 1)/7
Let j(b) = b + 15. Suppose 0 = -2*s + 2*r - 23 - 11, -4*r = 4*s + 28. Let w be j(s). Determine c so that 3 - c**2 + 0*c - 2*c + w - 3 = 0.
-3, 1
Let n(k) be the third derivative of k**5/45 + 2*k**4/9 - 10*k**3/9 - 28*k**2. Let n(q) = 0. Calculate q.
-5, 1
Suppose 2 + 34 = 4*v. Suppose -7 - v = -4*f. Find x, given that 0*x + 2/5*x**3 + 1/5*x**f + 1/5*x**2 + 0 = 0.
-1, 0
Let 12 - 4*g + 5/3*g**4 - 29/3*g**2 + 1/3*g**5 - 1/3*g**3 = 0. What is g?
-3, -2, 1, 2
Let w(r) be the second derivative of -r**6/90 + 11*r**5/60 - 11*r**4/12 + r**3/2 + 9*r**2 + 2*r + 44. Determine j so that w(j) = 0.
-1, 3, 6
Suppose 0 = 4*l - 2*l - r - 2, 0 = l + 4*r - 19. Let -2*s**3 - 15*s**2 + 19*s**2 - 3 + 6*s + l = 0. What is s?
-1, 0, 3
Factor 30 - 54*b + 16 - 6*b - 4*b**2 - 153 - 117.
-4*(b + 7)*(b + 8)
Let o(v) = -v - 1. Let q(j) = 1. Let x(n) = o(n) - 4*q(n). Let y be x(-7). Solve -11 - h**y + 22 - 10 = 0.
-1, 1
Let u(f) be the third derivative of f**5/450 + 8*f**4/45 + 31*f**3/45 - 81*f**2. Find q such that u(q) = 0.
-31, -1
Let s be (5/5)/(4/8). Let -10 + 6 - 3*l**s - 5*l + 2 = 0. What is l?
-1, -2/3
Let d(l) be the third derivative of 0 - 1/1020*l**6 + 7*l - 1/51*l**4 + 1/102*l**5 - 2*l**2 + 0*l**3. Let d(h) = 0. What is h?
0, 1, 4
Let y(b) be the second derivative of 1/13*b**2 + 2/273*b**7 - 2/39*b**4 + 1/65*b**6 + 0 - 1/65*b**5 + b + 0*b**3. Suppose y(h) = 0. Calculate h.
-1, 1/2, 1
Let s(q) be the first derivative of q**4/8 + q**3/6 - 4*q**2 + 10*q + 54. Find g, given that s(g) = 0.
-5, 2
Suppose 14 = -5*k - 2*k. Let n be (-1)/12 + k/(-18)*3. Factor 1/4*f**5 + 1/4*f - n + 1/2*f**2 - 1/4*f**4 - 1/2*f**3.
(f - 1)**3*(f + 1)**2/4
Let g be ((-242)/10)/(-3 + 328/120). Let -g*v**2 - 33*v - 3 = 0. Calculate v.
-2/11
Let u(i) = -i**2 - 12*i - 22. Let r be u(-9). Let p(x) be the second derivative of -1/48*x**4 - r*x - 9/8*x**2 + 0 + 1/4*x**3. Factor p(n).
-(n - 3)**2/4
Let 40/7*i**3 - 114/7*i - 2 + 264/7*i**2 = 0. Calculate i.
-7, -1/10, 1/2
Let d be (-38)/(-60) - (-2)/(-4). Let p = 139/30 - d. Factor 0 + p*i**3 + 3*i**4 + 3/4*i**5 + 3/4*i + 3*i**2.
3*i*(i + 1)**4/4
Let q = -1560 - -1560. Factor 3/4*u**2 + 0 + q*u**3 + 0*u - 3/4*u**4.
-3*u**2*(u - 1)*(u + 1)/4
Let s(d) = 18*d - 3. Let x be s(1). Suppose 0 = -x*u + 7*u + 40. Factor -3/2*r**3 + 0*r**4 + 3/2*r**u + 0*r + 0 + 0*r**2.
3*r**3*(r - 1)*(r + 1)/2
Suppose -138 = -8*p + 158. Suppose -3*d - 11*d**3 - p*d**3 + 48*d**4 + 6*d - 3*d**2 + 0*d = 0. Calculate d.
-1/4, 0, 1/4, 1
Let z = -166 + 168. Let d(h) be the second derivative of 1/24*h**4 - 1/40*h**5 + 0*h**z + 4*h - 1/60*h**6 + 1/84*h**7 + 0*h**3 + 0. Solve d(l) = 0 for l.
-1, 0, 1
Let f be (-5*(-7)/70)/(1/60). Let m be 1/(4/(-6) + 1). Suppose -i + 26*i**m - f*i**3 + 16*i**2 - 15*i = 0. What is i?
0, 2
Let k(s) be the first derivative of s**5/5 - 3*s**4/4 - 4*s**3/3 - 204. Factor k(g).
g**2*(g - 4)*(g + 1)
Let x(b) be the first derivative of b**4/22 + 2*b**3/11 + 2*b**2/11 + 72. Solve x(t) = 0.
-2, -1, 0
Find c such that -3*c**4 - 4*c**4 + 95*c**2 - 2048*c**3 + 2068*c**3 + 70*c + 2*c**4 = 0.
-2, -1, 0, 7
Let n(o) be the first derivative of -27*o**5/5 + 45*o**4/4 + 62*o**3 - 240*o**2 + 288*o + 34. Suppose n(k) = 0. Calculate k.
-3, 4/3, 2
Suppose 0 = -162*s + 156*s - 24. Let i be ((-51)/(-5) - 4) + s. Solve 3/5*g**2 + 1/5*g**4 + i*g**3 - 3/5*g**5 - 4/5 - 8/5*g = 0.
-1, -2/3, 1, 2
Suppose 5*d + 5*v + 30 = 0, 0*d = d + 5*v - 6. Let u = d + 16. Factor -5*t + 3*t**2 - u*t**2 + 11*t + 2*t.
-4*t*(t - 2)
Let t(i) = 124*i**3 + 716*i**2 + 1280*i + 376. Let f(j) = -25*j**3 - 143*j**2 - 256*j - 75. Let h(m) = -24*f(m) - 5*t(m). What is x in h(x) = 0?
-5, -2, -2/5
Let x(f) be the second derivative of -10*f - 7/4*f**4 + 9/2*f**3 + 0 - 3*f**2. Find q such that x(q) = 0.
2/7, 1
Let a = 12 + -9. Let g be (-30)/(-7) - (-6)/(-21). Factor -1/2*o**5 + 0 - 3/2*o**a + 3/2*o**g + 1/2*o**2 + 0*o.
-o**2*(o - 1)**3/2
Let q be ((-3)/(12/(-8)))/7. Let t be ((-44)/(-12) - 4)*0/2. Determine b so that 2/7*b - 2/7*b**4 + t + q*b**2 - 2/7*b**3 = 0.
-1, 0, 1
Factor 7*g - 27*g**2 - 13*g + 8*g + g**4 - 12*g - 44*g.
g*(g - 6)*(g + 3)**2
Let v(s) be the first derivative of -s**6/90 + 7*s**5/120 + s**4/12 + 19*s**3/3 - 18. Let o(m) be the third derivative of v(m). Find r, given that o(r) = 0.
-1/4, 2
Let -21/4*t**5 - 153/4*t**4 - 48 + 105/2*t**3 + 165*t**2 - 126*t = 0. What is t?
-8, -2, -2/7, 1, 2
Factor 15*i + 21/2 + 9/2*i**2.
3*(i + 1)*(3*i + 7)/2
Suppose 380 = -44*w + 1031 - 519. Suppose -2/13 - 4/13*z**w + 6/13*z + 6/13*z**4 - 2/13*z**5 - 4/13*z**2 = 0. What is z?
-1, 1
Solve 37/8*x**3 - 27/4*x**2 + x + 99/8*x**4 + 0 = 0 for x.
-1, 0, 2/11, 4/9
Let g(k) = -k**2 - 7*k - 4. Suppose 4*m + 29 = -m + v, -2*v + 4 = -m. Let w be g(m). Let a**2 - 6 - 2*a + a**w + 6*a = 0. What is a?
-3, 1
Let f(g) be the third derivative of -g**8/24192 + g**7/3780 + g**6/1080 - 11*g**5/60 - 3*g**2. Let p(o) be the third derivative of f(o). Factor p(k).
-(k - 2)*(5*k + 2)/6
Let v(z) be the third derivative of z**9/7560 + z**8/2100 + z**7/2100 + 2*z**3 - 6*z**2. Let a(t) be the first derivative of v(t). Determine l so that a(l) = 0.
-1, 0
Let w be (1 - (-1 + 0)) + 10/5. Let p(j) = -2*j**3 + 14*j - 14. Let s(g) = -1. Let v(t) = w*s(t) - 2*p(t). Factor v(q).
4*(q - 2)*(q - 1)*(q + 3)
Suppose 5*h = 5*m - 3*m + 5, 5*h - 40 = -5*m. Determine i so that 20/9*i**4 - 68/9*i*