 - 7*y**4/10 + y**3/2 + 46*y. Find b such that i(b) = 0.
-5, 0, 1/3
Let m(k) = 2*k**2 + 15*k + 13. Let h be m(-6). Let l be (-99)/(-275)*h/(-3). Factor -6/5 + l*w + 3/5*w**2.
3*(w - 1)*(w + 2)/5
Factor -13 - 54*m + 18*m**2 - 5 + 2*m**3 - 4*m**3 + 42 + 30.
-2*(m - 3)**3
Suppose 0 = -s - 56 - 51. Let l = s + 109. Factor 0*m + 0 - 1/3*m**l + 1/3*m**3.
m**2*(m - 1)/3
Let x(f) be the second derivative of -f**6/135 + 7*f**5/90 - 5*f**4/18 + 13*f**3/27 - 4*f**2/9 - f - 10. Factor x(t).
-2*(t - 4)*(t - 1)**3/9
Let f(g) be the first derivative of g**3/6 + g**2/2 + g/2 + 52. Factor f(j).
(j + 1)**2/2
Let d = -22 + 48. Let z be (-1*1)/((-13)/d). Suppose 11*i**z + 2*i**4 - 14*i**2 - 6*i**3 - 5*i**4 = 0. What is i?
-1, 0
Factor -28/3*f + 16 + 4/3*f**2.
4*(f - 4)*(f - 3)/3
Let h = 349/200 - -1/200. Factor -h*s**2 + 0 - s + 1/2*s**3.
s*(s - 4)*(2*s + 1)/4
Let d(y) = -y**2 - 20*y + 47. Let r = 1 + -29. Let w(i) = -4*i**2 - 100*i + 236. Let c(l) = r*d(l) + 6*w(l). Factor c(t).
4*(t - 5)**2
Let r be ((-27)/(-3))/(-5 - 171/(-18)). Let 5/4*p + 1/8*p**r + 25/8 = 0. Calculate p.
-5
Let s be (-16*8/(-2720))/((-4)/(-10)). Determine g so that -s*g**2 - 4/17 + 6/17*g = 0.
1, 2
Let u(w) be the second derivative of 9/2*w**2 + 5*w**3 + 3/4*w**4 - 15*w + 0. Factor u(h).
3*(h + 3)*(3*h + 1)
Let a(o) be the third derivative of -o**8/1344 + o**7/210 - o**6/120 + 19*o**2 - 21. Let a(r) = 0. Calculate r.
0, 2
Let t be (2/4)/((-4)/(-34)). Let a = t + -179/44. Factor -a*b - 6/11*b**3 + 0 + 6/11*b**2 + 2/11*b**4.
2*b*(b - 1)**3/11
Let n(w) = 160*w**2 + 568*w + 236. Let b(j) = 29*j**2 + 103*j + 43. Let z(s) = 28*b(s) - 5*n(s). Suppose z(h) = 0. What is h?
-3, -2/3
Let b = 424 + -2543/6. What is v in 0 - 1/6*v + b*v**2 = 0?
0, 1
Let v(h) be the second derivative of -15*h**8/224 + 31*h**7/560 - h**6/120 + 37*h**3/6 + 5*h - 6. Let s(k) be the second derivative of v(k). Factor s(i).
-3*i**2*(3*i - 1)*(25*i - 2)/2
Let a(z) be the second derivative of -z**6/720 + z**5/240 + 5*z**3/6 - 22*z. Let b(y) be the second derivative of a(y). Let b(p) = 0. Calculate p.
0, 1
Suppose -5*r + 12 + 3 = 0. Factor -7*m**2 - 4*m + 4 + m**4 + m**2 + 2*m**r + 3*m**2.
(m - 1)**2*(m + 2)**2
Suppose 18*h**2 + 20 + 2*h**3 - 4*h**3 - 42*h + 6*h**2 = 0. Calculate h.
1, 10
Let x(l) be the first derivative of 4/3*l**3 - 2/5*l**5 - 11 + 0*l**4 - 2*l**2 + 7*l + 2/15*l**6. Let r(j) be the first derivative of x(j). Factor r(g).
4*(g - 1)**3*(g + 1)
Let u = 193/45 + -38/9. Let s(n) be the second derivative of -4*n - u*n**5 - 2/3*n**3 + 2/3*n**2 + 0 - 5/12*n**4. Determine z, given that s(z) = 0.
-2, 1/4
Let t(w) = -w. Let j be t(13). Let q = j - -15. What is p in p**2 + 3*p**3 + 5*p**2 + 11*p + 0*p**q - 8*p = 0?
-1, 0
Let f be (0 - 15/40)*-8. Find b such that 3*b**3 + f - 5*b**2 - 4*b**3 - 6 + 0 - 7*b = 0.
-3, -1
Let x be ((-2)/(-8))/((-2)/(-8)). Let w be ((-52)/(-143))/(-2*(0 - x)). Factor 0 + 2/11*a**2 - w*a.
2*a*(a - 1)/11
Let u be ((-16656)/392 + 42)*(2 - 9). Solve -u*b + 0 + 2/7*b**2 = 0 for b.
0, 12
Let b(w) = 3*w**2 - 29*w - 130. Let n(d) = -3*d**2 + 28*d + 131. Let p(g) = 5*b(g) + 4*n(g). Factor p(o).
3*(o - 14)*(o + 3)
Let d = 1 - -1. Suppose 4*b = 5*b - 8. Factor 0*a**5 - 10*a**2 - 2*a**5 + d*a**3 + 2*a**4 + b*a**2.
-2*a**2*(a - 1)**2*(a + 1)
Let m(p) be the third derivative of -1/24*p**5 - 4*p**2 + 0*p**3 + 3/700*p**7 + 0*p**4 - 1/80*p**6 + 0*p + 0 - 1/3360*p**8. Factor m(o).
-o**2*(o - 5)**2*(o + 1)/10
Let p(m) be the first derivative of 3*m**5/5 + 39*m**4/14 - 141*m**3/7 + 204*m**2/7 - 12*m - 616. Let p(w) = 0. Calculate w.
-7, 2/7, 1, 2
Let f(c) = -c**3 + 4*c**2 - 2*c - 1. Let p be f(3). Let d = 6 + -4. Factor z**d + 0*z**2 - 4*z**2 - 9*z - 4*z**2 - p.
-(z + 1)*(7*z + 2)
Let b be (3 - (-11 + -4)) + ((-60)/(-16))/(-5). Let b*j**3 - 12*j + 3/4*j**2 + 3 - 21/4*j**5 - 15/4*j**4 = 0. What is j?
-2, -1, 2/7, 1
Let q be -2 + 2 - ((-7)/(-2) - 7). Determine r, given that -r**2 + r**4 + 0 + q*r**3 - 7/2*r**5 + 0*r = 0.
-1, 0, 2/7, 1
Let n be 49/65 + ((-2)/10 - 32/80). Determine h, given that n*h**2 - 16/13 - 4/13*h = 0.
-2, 4
Let m = 369/5 - 368/5. Let -1/5*k**4 + 0 - 4/5*k + m*k**3 + 4/5*k**2 = 0. Calculate k.
-2, 0, 1, 2
Let 45/2*q**2 - 3/2*q**3 + 243/2 - 189/2*q = 0. Calculate q.
3, 9
Let q be ((-272)/3400 - 58/(-100)) + (-14)/(-20). Suppose -2/5*l + q*l**2 - 6/5*l**4 + 0 + 2/5*l**3 = 0. What is l?
-1, 0, 1/3, 1
Let n = -12 + 95. Let g = n - 81. Suppose -2/7*x**g - 2/7*x + 4/7 = 0. What is x?
-2, 1
Solve r**3 + 22*r + 21*r - 52*r = 0.
-3, 0, 3
Let q(j) be the first derivative of j**7/120 + j**6/180 + 25*j**3/3 - 21. Let s(d) be the third derivative of q(d). Solve s(n) = 0 for n.
-2/7, 0
Let o(j) be the second derivative of -j**7/420 - j**6/360 + j**5/60 + j**4/24 - j**3/3 + 7*j. Let n(q) be the second derivative of o(q). Factor n(d).
-(d - 1)*(d + 1)*(2*d + 1)
Let 32/11 - 6/11*t**5 + 8/11*t**3 + 2*t**4 - 96/11*t**2 + 64/11*t = 0. What is t?
-2, -1/3, 2
Solve 130/9*k + 2/9*k**5 + 34/3 - 44/3*k**3 - 26/9*k**4 - 76/9*k**2 = 0.
-3, -1, 1, 17
Let b(v) be the second derivative of -1/90*v**5 + 0 + 0*v**3 + 1/135*v**6 + 0*v**4 - 22*v + 0*v**2. Solve b(z) = 0.
0, 1
Let z(w) be the third derivative of w**7/75 - 6*w**6/25 + 13*w**5/10 - 5*w**4/6 - 101*w**2. Factor z(x).
2*x*(x - 5)**2*(7*x - 2)/5
Suppose 5*w + a + 73 = 188, 0 = 2*w + a - 43. Factor -10 - w*n**3 - 6*n**2 - 14*n**2 + 12 + 3*n**3 + 3*n.
-(n + 1)*(3*n - 1)*(7*n + 2)
Suppose -8/5*z**3 + 0 + 0*z + 2/5*z**4 - 8/5*z**2 + 2/5*z**5 = 0. What is z?
-2, -1, 0, 2
Let f(d) = 13*d**4 - 25*d**3 + 8*d**2 - 7*d - 22. Let g(v) = v**4 - v**3 - 2*v**2 + v - 2. Let b(q) = -2*f(q) + 22*g(q). Let b(z) = 0. Calculate z.
0, 1, 3
Let z(m) be the second derivative of -m**7/42 - 7*m**6/90 - m**5/15 - 25*m**3/6 + 14*m. Let g(f) be the second derivative of z(f). Factor g(x).
-4*x*(x + 1)*(5*x + 2)
Let v(d) be the first derivative of 0*d - 1/2*d**2 + 6 - 1/12*d**3. Suppose v(y) = 0. Calculate y.
-4, 0
Let m be 2/4*-2 - -3. Factor -31*j**3 - 4*j**m + 62*j**3 + 8*j**4 - 27*j**3.
4*j**2*(j + 1)*(2*j - 1)
Let l(h) = -h**2 + 19*h + 25. Let v be l(20). Suppose 9 = 3*c - 0*c. Suppose -6 + v + c*q**2 + 2 - 4*q**2 = 0. Calculate q.
-1, 1
Let u(g) = 12*g**4 - 39*g**3 + 33*g**2 + 6*g. Let q(c) = 12*c**4 - 39*c**3 + 33*c**2 + 4*c. Let i(v) = -6*q(v) + 5*u(v). Find s such that i(s) = 0.
0, 1/4, 1, 2
Suppose 0 = 2*l + t - 2, -3*l + 2*t + 8 = t. Suppose -10 = i + 4*m, 4*m - 2*m = 4*i - 14. What is s in -l*s**i - s - s**2 + 3*s + 2*s**2 = 0?
0, 2
Factor 4/9*p**3 + 64/9*p**2 + 64 + 112/3*p.
4*(p + 4)*(p + 6)**2/9
Suppose 0 = 6*k + 11*k - 85. Suppose 17*v - 3*v = -k*v. Find d such that -1/3*d + 1/3*d**2 + v = 0.
0, 1
Let b = -19 - -22. Suppose -b*p - 3*j - 28 = -5*p, -3*j = 12. Let 2 - p*r**2 - r**2 + 6*r**2 + 4*r + 5*r**2 = 0. What is r?
-1
Suppose -2/7*t + 0 - 10/7*t**2 = 0. What is t?
-1/5, 0
Let f(s) be the third derivative of s**6/380 + 16*s**5/285 + 47*s**4/228 + 6*s**3/19 + 17*s**2 + 3*s. Factor f(z).
2*(z + 1)*(z + 9)*(3*z + 2)/19
Let f(t) be the first derivative of 6 - 1/3*t**4 - 1/9*t**6 - 2/5*t**5 + 0*t + 0*t**2 + 0*t**3. Factor f(w).
-2*w**3*(w + 1)*(w + 2)/3
Let r(w) = 15*w**4 + 56*w**3 + 45*w**2 + 26*w. Let c(k) = -3*k**4 - 11*k**3 - 9*k**2 - 5*k. Let h(m) = -11*c(m) - 2*r(m). Factor h(q).
3*q*(q + 1)**3
Let d(r) be the third derivative of -1/50*r**5 + 0 + 0*r - 1/175*r**7 + 2/75*r**6 - 1/30*r**4 - r**2 + 0*r**3. Determine f, given that d(f) = 0.
-1/3, 0, 1, 2
Let g(c) be the second derivative of -6*c**2 - 1/4*c**4 - 5/2*c**3 - 10*c + 0. Solve g(w) = 0.
-4, -1
Let p(b) be the third derivative of b**5/210 - b**3/21 + 30*b**2 + 2*b. Factor p(q).
2*(q - 1)*(q + 1)/7
Let c(n) be the first derivative of -n**6/12 - n**5/10 + 3*n**4/8 + 5*n**3/6 + n**2/2 - 465. Factor c(f).
-f*(f - 2)*(f + 1)**3/2
Suppose 5*z - 87 = -4*f, -2*z - 2*f = f - 32. Let s = z + -16. Find d, given that -d**s + 0*d - 6*d**2 - d - 3*d - d**3 = 0.
-2, -1, 0
Let i be 3/(1/((-16)/70) - -4). Let f be (-16)/(-3) - i/(-2). Factor 0*j + f - 1/3*j**2.
-(j - 2)*(j + 2)/3
Let j be 4*(-2)/(-48) - 46/(-12). Solve 2*a - 67 - 6*a**3 - 4*a**2 + 71 + j*a**3 = 0 for a.
-2, -1, 1
Suppose -603*j = -58*j - 1090. Factor 1/10 + 1/10*a**j - 1/5*a.
(a - 1)**2/10
Let q = -13 + 36. Let c = q - 20. Factor -2*t**2 + c*t**3 - 5*t**3 - t + 2 + 4*t - t