f m**4/8 + 13*m**3/4 + 4*m + 28. What is w in k(w) = 0?
-13, 0
Factor 0*p**2 - 38/9*p**3 - 2/9*p**4 + 0 + 0*p.
-2*p**3*(p + 19)/9
Let g(k) be the first derivative of 2*k**5/65 + 202*k**4/13 + 40804*k**3/13 + 4121204*k**2/13 + 208120802*k/13 + 83. Let g(b) = 0. Calculate b.
-101
Let y(k) be the third derivative of k**8/504 - k**7/315 - k**6/180 + k**5/90 + 43*k**2. Factor y(n).
2*n**2*(n - 1)**2*(n + 1)/3
Let f = -39 - -43. Suppose 4*i = -4*v - 0*v + 12, -10 = -f*i - 5*v. What is w in -8/11 + 98/11*w**i + 80/11*w - 290/11*w**2 + 470/11*w**3 - 350/11*w**4 = 0?
2/7, 1
Let p = 8 + -10. Let h(z) = 8*z**3 + 10*z**2 + 5*z + 3. Let x(c) = -7*c**3 - 10*c**2 - 5*c - 2. Let l(g) = p*h(g) - 3*x(g). Factor l(m).
5*m*(m + 1)**2
Let t(w) = w + 13. Let d be t(-9). Solve 10*s**d - 3*s**2 - 6*s**5 + 2*s - 2*s + 4*s - 7*s**2 + 2*s**3 = 0 for s.
-1, 0, 2/3, 1
Let g(b) = b**2 + 9*b - 9. Let y be g(-14). Factor -12*w + y*w**3 - 66*w**3 - 25*w**2 - 15 - 23*w.
-5*(w + 1)**2*(w + 3)
Let w(f) be the third derivative of -2*f**7/7 - 43*f**6/180 + f**5/90 + 365*f**2. Solve w(g) = 0 for g.
-1/2, 0, 1/45
Let n(y) be the first derivative of -27*y**4/16 - 15*y**3/4 - 21*y**2/8 - 3*y/4 + 36. Factor n(r).
-3*(r + 1)*(3*r + 1)**2/4
Let h(a) be the second derivative of -1/12*a**4 - 2/3*a**3 + 0 - 26*a + 0*a**2. Let h(y) = 0. What is y?
-4, 0
Let v = -10 + 13. Suppose 1 + v = 2*i. Let n(m) = -2*m**2 - 5*m - 1. Let o(r) = -r**2 + r + 1. Let f(u) = i*o(u) + n(u). Factor f(a).
-(a + 1)*(4*a - 1)
Let l(f) be the third derivative of 7/20*f**5 - 4*f**2 + 3/2*f**4 + 0 + 0*f - 2*f**3. What is w in l(w) = 0?
-2, 2/7
Let g(r) = 5*r**3 - 5*r**2 - 5. Let v(a) = 3*a - 9*a**3 - 6*a**2 + 26*a**3 - 12*a**3 - 2*a - 6. Let z(s) = 6*g(s) - 5*v(s). Factor z(j).
5*j*(j - 1)*(j + 1)
Factor 2/15*l**3 - 16/15*l**2 + 20/3 + 2/3*l.
2*(l - 5)**2*(l + 2)/15
Factor 30*y**2 - 22*y**3 + 3*y**4 - 18*y + 4 + 6*y**4 - 3*y**4.
2*(y - 1)**3*(3*y - 2)
Let a(u) be the second derivative of u**5/110 - 4*u**4/33 + 17*u**3/33 - 10*u**2/11 + 2*u + 3. Suppose a(c) = 0. What is c?
1, 2, 5
Let r(u) be the second derivative of u**4/108 + 49*u**3/54 - 3*u - 55. Factor r(b).
b*(b + 49)/9
Let u = 85 - 51. Factor 4*f**3 + 8*f**2 + 64 - u*f**2 + 32*f - 2*f**2.
4*(f - 4)**2*(f + 1)
Let p = 6666 + -33328/5. Factor -24/5*v + p*v**2 + 72/5.
2*(v - 6)**2/5
Factor 54/5 - 33/5*o + 3/5*o**2.
3*(o - 9)*(o - 2)/5
Determine w so that -112 - 12*w + 9*w**3 - 2*w**4 - 14*w**4 + w**4 + 24*w**2 - 6*w**5 + 112 = 0.
-2, 0, 1/2, 1
Suppose -16 = 3*d + 5*d. Let s(h) = h**4 + h**3 - h**2 + h - 1. Let n(g) = g**5 + g**4 - g**2 + g - 1. Let o(u) = d*n(u) + 2*s(u). Solve o(m) = 0.
-1, 0, 1
Suppose 11 = -2*s - 3*t - 1, -5*t = 20. Let v(m) be the third derivative of -3*m**2 + 2*m**3 + s + 21/20*m**5 + 0*m + 9/40*m**6 + 2*m**4. Factor v(q).
3*(q + 1)*(3*q + 2)**2
Suppose d + 42 = 2*d. Suppose -p + d = 2*p. Factor 15*m**3 + 0*m**2 + m**2 - p*m**3.
m**2*(m + 1)
Let p(o) be the first derivative of 0*o**2 + 2/3*o**3 + 21 - 3/4*o**4 + 0*o. Factor p(i).
-i**2*(3*i - 2)
Suppose -4*o + 4*y + 52 = 0, -2*o + 3 = y - 20. Suppose 2 - o = -5*n. Factor -2*g - g**3 - 6*g**n - g - 5*g - g.
-g*(g + 3)**2
Let s(j) be the first derivative of j**5/15 - 5*j**4/4 - j**3/9 + 5*j**2/2 + 427. Find r, given that s(r) = 0.
-1, 0, 1, 15
Let v(y) be the third derivative of y**7/140 - y**6/10 + 3*y**5/5 - 2*y**4 + 4*y**3 - 2*y**2 - 37*y. Factor v(k).
3*(k - 2)**4/2
Let f(l) be the third derivative of l**5/12 - 5*l**4/8 + 3*l**2 + 45. What is i in f(i) = 0?
0, 3
Let u be (6/4)/(9/12). What is p in -9*p + 0*p**u + 16 + 4*p**2 - 2*p - 5*p = 0?
2
Let f(v) be the first derivative of -v**6/2520 + v**5/168 + v**4/28 - 29*v**3/3 + 26. Let d(c) be the third derivative of f(c). Factor d(y).
-(y - 6)*(y + 1)/7
Let y(g) be the second derivative of -g**8/8960 + g**6/960 - 4*g**4/3 - 13*g. Let r(j) be the third derivative of y(j). Let r(s) = 0. Calculate s.
-1, 0, 1
Let q(a) be the second derivative of a**7/168 + 3*a**6/40 + 29*a**5/80 + 13*a**4/16 + 3*a**3/4 + a + 93. Suppose q(v) = 0. Calculate v.
-3, -2, -1, 0
Let v(n) be the second derivative of -n**7/9 - 214*n**6/135 - 398*n**5/45 - 71*n**4/3 - 29*n**3 - 12*n**2 + 38*n - 3. Find g such that v(g) = 0.
-3, -1, -4/21
Let l = -33 + -3. Let y be 1/4 + (-39)/l. Factor 10/3*i + 2/3*i**3 + 8/3*i**2 + y.
2*(i + 1)**2*(i + 2)/3
Let o = -7/2 - -15/4. Let s(a) be the first derivative of o*a**4 - 7 + 0*a**2 + 0*a + 0*a**3 - 1/10*a**5. Find p, given that s(p) = 0.
0, 2
Suppose 1/5*w**5 - 6/5*w**4 + 0*w + 12/5*w**3 + 0 - 8/5*w**2 = 0. Calculate w.
0, 2
Let g(z) be the second derivative of z**8/50400 + z**7/6300 - z**6/5400 - z**5/300 + 5*z**4/6 + 14*z. Let y(m) be the third derivative of g(m). Factor y(a).
2*(a - 1)*(a + 1)*(a + 3)/15
Suppose -79/5*h - 78/5 - 1/5*h**2 = 0. What is h?
-78, -1
Let y = 21 + -19. Let 6*r**y - r**4 + r**2 - 5*r**2 - 1 = 0. Calculate r.
-1, 1
Suppose -4*u - u = i + 18, i - 18 = 4*u. Suppose -2*b**i - 4*b - 6*b - 3*b + 3*b - 12 = 0. What is b?
-3, -2
Let c be (-44)/(-11) + (0 - -10). Suppose 0 = -2*r - 4, -2*r = -4*n + r + c. Factor -37*o**2 + 14*o**2 + 11*o**2 + 7*o**n.
-5*o**2
Let s = 2411/24 + -100. Let o(x) be the third derivative of 0*x - s*x**4 + 1/3*x**3 + 0 + 3*x**2 + 3/20*x**5. Determine u, given that o(u) = 0.
2/9, 1
Let n = 1218 - 8524/7. Find m such that -2/7*m**3 + 2/7*m - 2/7 + n*m**2 = 0.
-1, 1
Let z(h) = h - 1. Let s(q) = 4*q + 2. Let m(i) = -s(i) + 3*z(i). Let v be m(-5). Solve 2*p**3 - 2*p + 0*p + v*p = 0.
-1, 0, 1
Let f(j) be the first derivative of 2*j**6/3 - 236*j**5/5 + 115*j**4 - 76*j**3 + 636. What is w in f(w) = 0?
0, 1, 57
Let b(z) = 12*z**3 - 9*z**2 - 67*z + 144. Let f(q) = 2*q**3 + q**2 - 3*q. Let t(n) = b(n) - 5*f(n). Let t(r) = 0. What is r?
-4, 2, 9
Let k be 1*0*(-2)/(-4). Let c = -1241/11 - -113. Let k*u + 0 + 8/11*u**5 + c*u**3 + 0*u**2 + 10/11*u**4 = 0. What is u?
-1, -1/4, 0
Factor -11*v**2 + 43 + 14*v**2 - 22 - 24*v.
3*(v - 7)*(v - 1)
Let b = 1271/5 + -254. Let l(c) be the second derivative of b*c**3 - 1/10*c**4 + 0 - 1/5*c**2 + 1/50*c**5 - 2*c. What is w in l(w) = 0?
1
Let z = 326/141 + -2000/987. Factor -6/7*s**2 + 0 - 2/7*s**4 - z*s - 6/7*s**3.
-2*s*(s + 1)**3/7
Let l = -787 + 790. Let o(j) be the first derivative of 0*j**4 + 3/5*j**5 + 0*j**2 - 10 - 2*j**l + 3*j. Find a such that o(a) = 0.
-1, 1
Let p(n) be the third derivative of n**5/60 + n**4/4 + n**3/3 + 5*n**2. Let m be p(-6). Solve -2*x - 4*x - 24*x**m - x - 2*x + 6 - 9*x**3 = 0 for x.
-2, -1, 1/3
Suppose -3*y + 3 = -9. Factor 84*l**4 - l**2 + 6*l**3 - 24*l - 82*l**y - 3*l**2 - 16.
2*(l - 2)*(l + 1)*(l + 2)**2
Factor -1/3*j**2 + 0 - 31/3*j.
-j*(j + 31)/3
Let i(x) be the first derivative of -36 + 0*x + 20/3*x**2 + 4/9*x**3. Solve i(u) = 0.
-10, 0
Let f(b) be the second derivative of b**6/80 + 9*b**5/80 + 3*b**4/8 + 5*b**3/8 + 9*b**2/16 + 135*b. Factor f(j).
3*(j + 1)**3*(j + 3)/8
Let i be ((-4)/(-5))/((-336)/1400) + 4. Find g such that 0 + 4/3*g - 4/3*g**3 - 2/3*g**2 + i*g**4 = 0.
-1, 0, 1, 2
Let k(a) be the second derivative of a**8/210 + a**7/70 + a**6/90 + 23*a**3/6 + 22*a. Let b(u) be the second derivative of k(u). Solve b(l) = 0.
-1, -1/2, 0
Suppose 3*h + h = -12, 5*x - 2*h - 6 = 0. Suppose 41*g**3 - 41*g + 182*g**4 - 61*g - 164*g**2 + 98*g**5 + x*g - 37*g**3 - 18 = 0. What is g?
-1, -3/7, 1
Let n be 4/(-14) - 0 - 1869/1176. Let t = n + 121/56. Let 0 + 0*d + 6/7*d**3 + t*d**2 + 6/7*d**4 + 2/7*d**5 = 0. What is d?
-1, 0
Suppose 6 = 2*j + j, 5*j = 4*x - 10. Suppose -x*i + 6*t + 5 = t, 4*i = -4*t + 12. Let 0*z - z**3 - 1/3*z**i + 0 = 0. Calculate z.
-1/3, 0
Let j(c) be the third derivative of c**7/210 - c**6/6 - c**5/5 + 140*c**4/3 + 1568*c**3/3 + 3*c**2 - 145. Find t, given that j(t) = 0.
-4, 14
Let d(q) be the first derivative of q**6/15 - q**5/5 - q**4/6 + 2*q**3/3 + 27*q - 36. Let z(x) be the first derivative of d(x). Suppose z(v) = 0. Calculate v.
-1, 0, 1, 2
Let m(f) be the second derivative of -f**8/840 + f**7/525 + f**6/150 - f**2/2 + 27*f. Let s(d) be the first derivative of m(d). Factor s(c).
-2*c**3*(c - 2)*(c + 1)/5
Let x be ((-24)/(-20))/(15/50). Let 119/3*k**3 - 44/3*k + 6*k**2 + 49/3*k**x + 8/3 = 0. Calculate k.
-2, -1, 2/7
Factor -30*f - 99*f**2 + 3*f**4 + 13*f**4 - 21*f**3 - 7*f**4 - 3*f**3.
3*f*(f - 5)*(f + 2)*(3*f +