. What is z?
-5, 1
Let b(u) = u**2 - 20*u + 93. Let v be b(13). Let p(t) be the second derivative of -v*t**3 + 0 + 9*t**2 + 1/6*t**4 - 4*t. Let p(h) = 0. What is h?
3
Let h(o) be the third derivative of -4/35*o**7 + 0 - 57*o**2 + 0*o**5 + 0*o**4 - 1/40*o**6 + 0*o - 1/7*o**8 + 0*o**3. Determine s so that h(s) = 0.
-1/4, 0
Suppose 0 = -2*d - 0 + 4. Let o be 0*d/(-16)*-2. Factor n + o*n - 6*n - 5*n**3 - 5*n - 15*n**2.
-5*n*(n + 1)*(n + 2)
Let r(g) be the third derivative of -5*g**8/112 - g**7/21 + g**6/24 - 42*g**2. Suppose r(x) = 0. What is x?
-1, 0, 1/3
Let y(n) be the second derivative of n**6/1260 - n**4/84 - 5*n**3/3 + 11*n. Let s(q) be the second derivative of y(q). Find u, given that s(u) = 0.
-1, 1
Factor 7203/5*h + 1/5*h**3 - 117649/5 - 147/5*h**2.
(h - 49)**3/5
Let m(b) be the second derivative of -3/50*b**5 - 1/50*b**6 + 0 + 5*b + 1/5*b**3 + 1/20*b**4 + 0*b**2. Solve m(j) = 0.
-2, -1, 0, 1
Let c be 6/4*6/9. Let s be (6 + -7)*(-1 - c). Factor -6*y**3 - 15*y**2 - 3*y**5 + 3*y**3 + s*y + 18*y**2 - 7*y**4.
-y*(y + 1)**3*(3*y - 2)
Let x(z) be the second derivative of -z**4/18 + 40*z**3/3 - 1200*z**2 - 44*z - 1. Factor x(g).
-2*(g - 60)**2/3
Let m be (-70)/196*-14*12/15. Factor 3/7*u**3 - 15/7*u - 3/7*u**m + 9/7*u**2 + 6/7.
-3*(u - 1)**3*(u + 2)/7
Let v(i) be the third derivative of i**7/120 - 19*i**6/480 + i**5/16 - i**4/96 - i**3/12 + 3*i**2 - 6*i. Solve v(f) = 0.
-2/7, 1
Suppose 4*g - 2*d + 0*d = 10, 6 = 2*d. Suppose -2*k - g = -4*k. Factor -3*i**4 - 2*i**2 + 7*i**2 + 0*i**2 - 2*i**k.
-3*i**2*(i - 1)*(i + 1)
Let x(w) = -6*w**3 + 19*w**2 + 56*w + 9. Let t(j) = -j**3 + 4*j**2 + 11*j + 2. Suppose s + 2 = -9. Let f(c) = s*t(c) + 2*x(c). Find r such that f(r) = 0.
-4, -1
Let m = 40/559 - -319/3354. Factor n**2 + m*n**4 + 1/6 + 2/3*n + 2/3*n**3.
(n + 1)**4/6
Factor -285/8*d + 3/2*d**2 - 9.
3*(d - 24)*(4*d + 1)/8
Factor 1/3*s**2 + 0 + 11/3*s.
s*(s + 11)/3
Let j(r) be the third derivative of 1/1008*r**8 + 1/315*r**7 - 7*r**2 + 0*r**3 + 0 + 0*r**6 - 1/90*r**5 + 0*r - 1/72*r**4. Suppose j(l) = 0. What is l?
-1, 0, 1
What is u in -28/3*u**3 - 20/3 + 254/3*u**2 + 262/3*u = 0?
-1, 1/14, 10
Let m = -21 - 76. Let r = m - -100. Suppose -4/9 + 10/9*l**2 - 10/9*l - 2/3*l**4 + 10/9*l**r = 0. Calculate l.
-1, -1/3, 1, 2
Let q = 89 + -87. Let l(v) be the first derivative of 3/10*v**4 + 4 + 1/5*v**q - 2/5*v**3 - 2/25*v**5 + 0*v. Factor l(s).
-2*s*(s - 1)**3/5
Let j(r) be the second derivative of -r**5/50 - 2*r**4/15 + 7*r**3/3 + 30*r**2 - 65*r. Factor j(v).
-2*(v - 6)*(v + 5)**2/5
Let l(d) be the first derivative of d**7/42 + d**6/6 + d**5/4 - 5*d**4/6 - 10*d**3/3 - 2*d**2 - 20. Let z(u) be the second derivative of l(u). Factor z(y).
5*(y - 1)*(y + 1)*(y + 2)**2
Let u(w) be the third derivative of -w**7/1120 + w**6/160 - w**5/80 + w**3 + 8*w**2. Let t(y) be the first derivative of u(y). Determine p so that t(p) = 0.
0, 1, 2
Let r(a) be the second derivative of -a**6/6 + 3*a**5/2 + 5*a**4/12 - 5*a**3 - 3*a + 47. Solve r(q) = 0.
-1, 0, 1, 6
Let r = 9 - 2. Let l(j) be the third derivative of 4*j**2 + 0 + 0*j**6 - 1/18*j**4 + 0*j + 1/30*j**5 + 0*j**3 - 1/315*j**r. Find z such that l(z) = 0.
-2, 0, 1
Let k = 26698/22265 + 4/4453. Determine u so that 2/5 + k*u**2 + 8/5*u = 0.
-1, -1/3
Let r = -67589/90 + 751. Let t(v) be the third derivative of 0*v + 0*v**4 - 1/630*v**7 - r*v**6 - 1/45*v**5 + 4*v**2 + 0 + 0*v**3. Factor t(b).
-b**2*(b + 2)**2/3
What is x in 1444*x**3 + 13824 + 29384/3*x**2 + 20352*x + 1/3*x**5 - 46*x**4 = 0?
-2, 72
Let c(x) = x**3 - 114*x**2 - 2*x + 230. Let z be c(114). Let -4*u + 52/3*u**z + 4/3*u**4 + 28/3*u**3 - 24 = 0. Calculate u.
-3, -2, 1
Let v(n) = -25*n**2 + 43*n + 34. Let f(a) = -275*a**2 + 475*a + 375. Let h(o) = 4*f(o) - 45*v(o). Factor h(j).
5*(j - 2)*(5*j + 3)
Let g = 1909 + -1909. Determine o so that 6/11*o**3 - 18/11*o + g + 12/11*o**2 = 0.
-3, 0, 1
What is p in 240 - 200*p - 55*p**4 + 36*p**2 + 195*p**3 - 221*p**2 - 2330*p**5 + 2335*p**5 = 0?
-1, 1, 3, 4
Let w(r) = 35*r - 1 - r**2 - 21*r - 10*r. Let k be w(2). Determine b so that -3/5*b**4 + 0 + 1/5*b**k - 2/5*b + 1/5*b**5 + 3/5*b**2 = 0.
-1, 0, 1, 2
Let h be (16/(-6))/(98/21) - 316/(-112). What is f in -165/4*f**2 + 0 - 21*f**3 + 75/2*f - h*f**4 = 0?
-5, 0, 2/3
Suppose -d + 3*m - 15 = m, 5*d + 5*m = -60. Let z be (-252)/(-117) - (-2)/d. Let 3*t**z - 3*t + 9*t**3 - 3*t + 6*t = 0. Calculate t.
-1/3, 0
Let j(x) be the second derivative of x**6/8 - 11*x**5/60 - 7*x**4/24 + x**3/2 + 4*x**2 - 13*x. Let y(c) be the first derivative of j(c). Factor y(q).
(q - 1)*(3*q - 1)*(5*q + 3)
Let b(z) be the first derivative of -z**3/7 - 51*z**2/14 + 501. Find l, given that b(l) = 0.
-17, 0
Let i(p) = -27*p**2 - 132*p + 15. Let u be i(-5). Factor u + 1/8*z**2 + 0*z + 0*z**3 - 1/8*z**4.
-z**2*(z - 1)*(z + 1)/8
Let b(a) = a + 6. Let g be b(-6). Let r(q) be the third derivative of g*q + 0 - 1/10*q**3 + 2*q**2 + 1/100*q**5 + 0*q**4. Factor r(i).
3*(i - 1)*(i + 1)/5
Let j(t) be the second derivative of t**5/10 + 11*t**4/3 - 25*t**3/3 - 46*t**2 + 403*t. Suppose j(n) = 0. Calculate n.
-23, -1, 2
Let c(h) be the first derivative of -7*h**6/3 + 66*h**5/5 - 23*h**4 + 8*h**3 + 8*h**2 + 429. Determine r, given that c(r) = 0.
-2/7, 0, 1, 2
Let j(n) be the third derivative of -n**8/4480 + n**7/1680 + n**6/480 - n**5/80 + n**4/6 - 6*n**2. Let t(v) be the second derivative of j(v). Factor t(z).
-3*(z - 1)**2*(z + 1)/2
Let i(s) be the first derivative of -200*s**2 + 4000/3*s - 15 + 40/3*s**3 - 1/3*s**4. Find m such that i(m) = 0.
10
Suppose -4*k + 5*h + 16 + 9 = 0, -2*k - 5*h = 25. Factor 0*w - 2/5*w**2 + 1/5*w**3 + k.
w**2*(w - 2)/5
Let 297 - 617*a + 6*a**3 + 1905*a - 172*a**2 - 1081 = 0. What is a?
2/3, 14
Suppose 4*p - 312 = -5*i, 3*i + 2*p = 34 + 154. Factor -i - 35*x + 16*x**3 + 4*x**4 - 23*x - 6*x.
4*(x - 2)*(x + 2)**3
Let w(i) be the first derivative of 2*i**5/35 - i**4/14 - 8*i**3/7 - 4*i**2/7 + 32*i/7 + 278. Factor w(a).
2*(a - 4)*(a - 1)*(a + 2)**2/7
Let v(x) be the second derivative of -x**7/5880 + x**6/1680 - 11*x**4/4 + 10*x. Let m(r) be the third derivative of v(r). Let m(z) = 0. What is z?
0, 1
Factor 0 + 9*o - 57/4*o**2 - 3/4*o**4 + 6*o**3.
-3*o*(o - 4)*(o - 3)*(o - 1)/4
Let r(o) be the first derivative of 1/16*o**4 + 0*o**2 - 1/3*o**3 + 0*o**5 + 0*o - 1 - 1/240*o**6. Let h(f) be the third derivative of r(f). Factor h(l).
-3*(l - 1)*(l + 1)/2
Determine i so that 12*i**5 - 12*i - 4/3 + 89/3*i**4 - 85/3*i**2 + 0*i**3 = 0.
-2, -1, -1/4, -2/9, 1
Let g(s) = s**2 + 5*s + 12. Let f(c) = -8*c**2 - 39*c - 97. Let q(h) = -6*f(h) - 51*g(h). Factor q(b).
-3*(b + 2)*(b + 5)
Let g(l) = 11*l**2 - l + 11. Suppose h + 20 = 5*h, 3*m - 4*h - 7 = 0. Suppose -m = -5*a + 11. Let n(o) = 6*o**2 + 6. Let r(f) = a*g(f) - 7*n(f). Solve r(d) = 0.
1
Let r = -21 + 32. Let i = -10 + r. Factor -w - 1 - 38*w**2 + i + 39*w**2.
w*(w - 1)
Factor 152*d**2 - 32*d + 44*d**3 + 3472 - 3472 - 11*d**4 - 9*d**4.
-4*d*(d - 4)*(d + 2)*(5*d - 1)
Let u(v) be the second derivative of -v**6/18 + 8*v**5/15 - 25*v**4/12 + 38*v**3/9 - 14*v**2/3 - v + 216. Suppose u(y) = 0. What is y?
1, 7/5, 2
Let 56/9*o - 8/9*o**2 - 32/9 + 2/9*o**5 - 22/9*o**3 + 4/9*o**4 = 0. Calculate o.
-4, -2, 1, 2
Let x(g) = -g**3 + 3*g + 1. Let r(k) = -8*k**3 + 5*k**2 + 59*k + 43. Let s(i) = r(i) - 3*x(i). Factor s(d).
-5*(d - 4)*(d + 1)*(d + 2)
Let n(y) be the second derivative of y**6/285 - y**5/95 - 4*y**4/19 - 776*y. Factor n(q).
2*q**2*(q - 6)*(q + 4)/19
Let s(z) be the third derivative of -z**6/30 + 7*z**5/15 + 4*z**4/3 + z**2 + 11. Factor s(b).
-4*b*(b - 8)*(b + 1)
Let l be (-6 - (1 - -5))*(-6)/28. Find h, given that l*h**2 + 0 - 4/7*h = 0.
0, 2/9
Let f(m) = -2*m**3 + 3*m**2 + 9*m - 13. Let j(v) = -v**3 - v**2 + 2*v - 1. Let z(u) = f(u) - 3*j(u). Factor z(b).
(b - 1)*(b + 2)*(b + 5)
Let h(y) be the third derivative of 0*y**3 - 1/80*y**5 + 1/48*y**4 + 0 + 0*y + 12*y**2 + 1/480*y**6. Factor h(f).
f*(f - 2)*(f - 1)/4
Let l be (-66)/44*((-96)/9)/4. Let w(s) be the second derivative of -2*s + 0*s**3 + 2/15*s**6 + 0*s**2 - 1/5*s**5 + 0 - 2/3*s**l. Let w(x) = 0. What is x?
-1, 0, 2
Suppose 7 = -4*q + 31. Factor -8*k**2 - 2*k**3 + k**3 + 2*k**4 - 11*k**3 + q*k**4.
4*k**2*(k - 2)*(2*k + 1)
Let r(b) = -4*b**3 + 40*b**2 + 56*b + 4. Let h(x) = -6*x**3 + 41*x**2 + 56*x + 5. Let f(