*4 - 14/9*b = 0?
-1, 1/4, 1
Let n be 1728/(-8064)*((-2)/(-4))/(1/(-8)). Factor -1/7*z**2 - n + z.
-(z - 6)*(z - 1)/7
Suppose 0 = -4*w - 2 + 78. Let l = -3 + w. Let 9*b - 3*b**3 + 10*b**3 + 21*b**3 + 71*b - l - 92*b**2 = 0. Calculate b.
2/7, 1, 2
Suppose 0 = -6*g + g + 15. Let -98*z + 98*z - g*z**2 = 0. Calculate z.
0
Let r(g) be the first derivative of -g**5/70 - g**4/21 + 19*g + 9. Let j(a) be the first derivative of r(a). Factor j(m).
-2*m**2*(m + 2)/7
Let q(u) be the first derivative of -7/2*u**2 + 0*u + 1 - 1/2*u**3 + 1/60*u**5 + 1/12*u**4. Let c(s) be the second derivative of q(s). Factor c(i).
(i - 1)*(i + 3)
Let z(w) be the third derivative of 0 - 5/36*w**4 + 28*w**2 + 0*w + 0*w**3 - 1/360*w**6 + 7/180*w**5. Factor z(x).
-x*(x - 5)*(x - 2)/3
Factor -2/9*a**4 + 4*a + 4/9*a**3 + 14/3*a**2 + 0.
-2*a*(a - 6)*(a + 1)*(a + 3)/9
Let p(k) be the first derivative of -4*k**3/15 + 2*k**2/5 + 13. Factor p(t).
-4*t*(t - 1)/5
Let g(w) be the third derivative of -w**5/510 + 7*w**4/68 - 38*w**3/51 + w**2 - 109*w. Let g(i) = 0. What is i?
2, 19
Let l be (4/12)/(7*26/819). Factor 39/4*d + l + 27/4*d**3 + 15*d**2.
3*(d + 1)**2*(9*d + 2)/4
Let p(a) be the first derivative of -a**5/35 - 2*a**4/21 - 2*a**3/21 - 18*a - 27. Let t(i) be the first derivative of p(i). Factor t(g).
-4*g*(g + 1)**2/7
Let s(c) be the third derivative of -121*c**6/120 + 253*c**5/60 - 89*c**4/96 + c**3/12 - 221*c**2. Factor s(r).
-(r - 2)*(22*r - 1)**2/4
Let r(m) be the first derivative of 4*m**5/5 - 4*m**4 - 44*m**3/3 - 12*m**2 - 25. Factor r(z).
4*z*(z - 6)*(z + 1)**2
Suppose -2*z - 3*z + 10 = 0. Let w = 1250/13 - 6198/65. Factor 8/5*h + w*h**3 - 2/5 - 2*h**z.
2*(h - 1)**2*(2*h - 1)/5
Let b(r) = r**2 + 12*r + 13. Let x = -3 + -8. Let j be b(x). Suppose -3*h**2 + 2*h**2 + 3*h**j - 3*h**2 = 0. Calculate h.
0
Let k(h) be the second derivative of 7/36*h**3 + 7*h + 1/6*h**2 + 0 - 7/120*h**5 - 1/36*h**4. Determine x, given that k(x) = 0.
-1, -2/7, 1
Let c(x) = -4*x + 4*x - x + 3. Let l be c(-3). Factor -24 + 98*s - 55*s**2 + 27*s**3 - l*s - 35*s**2 - 8*s.
3*(s - 2)*(3*s - 2)**2
Let o = 1016/5225 - 6/475. What is c in -10/11*c**2 - 6/11*c**3 - 2/11*c + o = 0?
-1, 1/3
Suppose -2*d + 12 = f, 3*d = -f - 0*d + 17. Let k be (-4)/26 + 46/130. Factor -4/5*q**f + q - 2/5 + k*q**3.
(q - 2)*(q - 1)**2/5
Let k be ((268/32 - 9)*-8)/(5/3). Let w be 1 + (1 + 0 - 2). Factor w*v**4 + 0 - 2/3*v**k + 0*v**2 + 1/3*v**5 + 1/3*v.
v*(v - 1)**2*(v + 1)**2/3
Suppose -w - 14 - 11 = 0. Let s(l) = l**4 - 1. Let r(d) = -20*d**4 - 5*d**3 + 25. Let y(g) = w*s(g) - r(g). Factor y(p).
-5*p**3*(p - 1)
Let c = 84 + -92. Let q(p) = 4*p**3 - 9*p - 11. Let k(h) = 12*h**3 - 28*h - 32. Let r(s) = c*q(s) + 3*k(s). Determine m so that r(m) = 0.
-1, 2
Let f = -54 + 57. Suppose -r + x = -3, f*x - 15 = -5*r - x. Find g such that 25/2*g**4 + 55/2*g**r + 33/2*g**2 + 1/2*g - 1 = 0.
-1, -2/5, 1/5
Let j = 0 + 0. Let q be (-3*(-4)/(-21))/((-16)/56). Find f such that q*f**3 + 4*f + j + 0 + 0 - 6*f**2 = 0.
0, 1, 2
What is m in -3*m**4 - 60/7*m**2 - 24/7*m + 0 + 78/7*m**3 = 0?
-2/7, 0, 2
Let x(k) be the second derivative of -k**5/20 - k**4/12 + k**2 + 23*k. Let o(r) = r**3 + r**2 + r - 3. Let t(p) = -2*o(p) - 3*x(p). Factor t(z).
z*(z - 1)*(z + 2)
Suppose 0 = -c + 2*c + 21. Let b = -18 - c. Determine i, given that -4*i**3 + b*i**4 - 4 + 4 + 9*i**4 = 0.
0, 1/3
Suppose -8/25*i**4 - 62/25*i + 4/5 + 6/25*i**2 + 16/5*i**3 = 0. Calculate i.
-1, 1/2, 10
Let g(b) be the second derivative of -2*b**7/147 + 26*b**6/35 + 82*b**5/35 + 2*b**4/21 - 54*b**3/7 - 82*b**2/7 - 2*b + 10. Find a, given that g(a) = 0.
-1, 1, 41
Suppose 39 = 5*x + 29. Suppose 2 + x = 2*m. Factor -6*n**3 + 0 - 3/2*n - 15/2*n**m.
-3*n*(n + 1)*(4*n + 1)/2
Factor 1/3*j**2 - 10/3 + j.
(j - 2)*(j + 5)/3
Let u(n) = 2*n**2 - 3*n. Let t(m) = 3*m**2 - 25*m + 42. Let p(y) = t(y) - 2*u(y). Factor p(z).
-(z - 2)*(z + 21)
Let p(c) = -c**3 + 5*c**2 + 3*c - 6. Let s be p(4). Let z be 1*(0 + 1*6). Solve 5*t**3 + t - s*t - 6*t**3 - z*t + 27 + 9*t**2 = 0.
3
Suppose 11*c = 320 - 287. Factor 3/5 - 4/5*t - 1/5*t**4 + 4/5*t**c - 2/5*t**2.
-(t - 3)*(t - 1)**2*(t + 1)/5
Solve -12*h**3 - 20*h**2 - h + 391*h**5 - 3*h + 20*h**4 - 375*h**5 = 0.
-1, -1/4, 0, 1
Let p(a) be the third derivative of 0*a**4 + 0*a - 1/20*a**6 + 0*a**3 - 1/70*a**7 + a**2 - 1/20*a**5 + 0. Determine i so that p(i) = 0.
-1, 0
Suppose -1 = 5*f + 2*u + 1, 12 = -2*f + 2*u. Let p(j) = -j - 1. Let z(v) = -2*v**3 - 2*v**2 - 2*v - 2. Let m(b) = f*p(b) + z(b). Factor m(s).
-2*s**2*(s + 1)
Let r = -81 - -69. Let h be 2 + (-4)/r + 8/12. Solve 3/2*l + 1/2*l**h + 1/2 + 3/2*l**2 = 0 for l.
-1
Let c(d) be the second derivative of d**4/48 + d**3/3 + 7*d**2/8 + 4*d - 4. Factor c(h).
(h + 1)*(h + 7)/4
Let r(a) = -5*a**3 - 15*a**2 - 9*a - 17. Let c(i) = 4*i**3 + 14*i**2 + 11*i + 16. Let f(k) = 6*c(k) + 5*r(k). Let f(w) = 0. What is w?
-1, 11
Suppose -5*k = k. Let a(l) = -3*l + 2. Let j be a(k). Factor j - 2*p**4 - 3*p**4 + 2*p**2 + p**2 + 4*p**4 - p**3 + 5*p.
-(p - 2)*(p + 1)**3
Let b(k) be the first derivative of -55/12*k**2 + 5/3*k**3 + 5*k + 5 - 5/24*k**4. Let b(n) = 0. Calculate n.
1, 2, 3
Factor -25*z**3 - 8*z**5 - 19*z**4 + 10*z**5 - 10*z**2 - 17*z**5 - z**4 + 10*z**5.
-5*z**2*(z + 1)**2*(z + 2)
Let m(z) be the second derivative of -5*z**4/12 + 35*z**3 - 2205*z**2/2 - z - 41. Factor m(w).
-5*(w - 21)**2
Let y = -19/7 - -143/14. Factor y*v**2 - 3*v - 6*v**3 + 0 + 3/2*v**4.
3*v*(v - 2)*(v - 1)**2/2
Let l(y) = 10*y**3 - 91*y**2 - 209*y + 96. Let q(f) = -9*f**3 + 90*f**2 + 210*f - 96. Let a(t) = 6*l(t) + 5*q(t). Suppose a(x) = 0. Calculate x.
-2, 2/5, 8
Let h = 652 - 416. Factor -194*w**2 + 34*w + 4*w**4 + 5 + h*w**2 + 22*w**3 + 3 - 2*w.
2*(w + 1)*(w + 2)**2*(2*w + 1)
Factor -45 - 20*g**2 + 204*g**4 - 12*g**3 + 204*g**4 - 405*g**4 - 10*g**2 + 84*g.
3*(g - 5)*(g - 1)**2*(g + 3)
Let b be (-1250)/(-40)*2*(-1)/(-15). Let y(u) be the first derivative of -5/2*u**4 - 5/2*u**2 - b*u**3 + 12 + 0*u - 1/2*u**5. Find r, given that y(r) = 0.
-2, -1, 0
Let d(a) be the second derivative of -9*a + 1/4*a**4 - a**3 + 0*a**2 + 0. Find s, given that d(s) = 0.
0, 2
Suppose -16 = -4*z - 5*w + 4*w, -2*z = -2*w - 18. Suppose b + i = 7, -4 - 25 = -z*b - 2*i. Solve -1/3*h**3 + 0*h**4 + 1/6*h + 0*h**2 + 0 + 1/6*h**b = 0.
-1, 0, 1
Suppose 0 = 5*a + 10, 2*w - 5*w = 4*a - 1. What is b in 6*b**3 - 13*b**3 + 4*b**w = 0?
0
Let y(i) be the third derivative of -i**6/40 + i**5/10 + 3*i**4 + 2*i**2 - 122. Suppose y(a) = 0. What is a?
-4, 0, 6
Let y be -28*2/(-48)*32/42. Factor y + 2/9*q**2 + 8/9*q.
2*(q + 2)**2/9
Suppose j = -4*d - j + 114, 3*j = -15. Let h = -10 + d. Find u, given that 4*u**4 + 6*u**3 + 2*u**2 + 2*u**4 - h*u**5 + 23*u**5 = 0.
-1, 0
Let f(k) be the second derivative of -5*k**7/42 + k**6/3 + 3*k**5/4 - 10*k**4/3 + 10*k**3/3 + 37*k. Determine d, given that f(d) = 0.
-2, 0, 1, 2
Let j(q) = -12*q**2 + 11*q - 3. Let f(k) = -13*k**2 + 15*k - 4. Let o(s) = -3*f(s) + 4*j(s). Find y such that o(y) = 0.
-1/9, 0
Let t(r) = -r - 10. Let m be t(-8). Let g(b) = -b**3 - b**2 + b - 2. Let q be g(m). Suppose 2*p**5 + 2*p + 13*p**3 - 17*p**3 + q*p**5 = 0. Calculate p.
-1, 0, 1
Suppose 5*b = -2*h - 3*h - 135, h - b = -17. Let i(f) = -3*f**3 - 43*f**2 + 3*f + 11. Let w(z) = z**3 - z**2 + z + 1. Let o(u) = h*w(u) + 2*i(u). Factor o(r).
-4*r*(r + 2)*(7*r + 2)
Let d(y) be the first derivative of -4*y**3/3 + 186*y**2/5 + 152*y/5 + 230. Factor d(m).
-4*(m - 19)*(5*m + 2)/5
Factor 0 + 0*n**4 + 0*n**2 - 3/2*n**5 + 3*n**3 - 3/2*n.
-3*n*(n - 1)**2*(n + 1)**2/2
Let q = 128 - 125. Let x(m) be the first derivative of -3*m - 2*m**q + 3/8*m**4 - 1 + 15/4*m**2. Factor x(i).
3*(i - 2)*(i - 1)**2/2
Let n be 12/((21/(-4))/((-530)/(-80) - 7)). Find j such that -3/7*j + 0 - 3/7*j**3 - n*j**2 = 0.
-1, 0
Let d(w) = 18*w**4 + 45*w**3 - 57*w**2 - 12*w + 6. Let o(f) = -53*f**4 - 134*f**3 + 168*f**2 + 36*f - 17. Let a(j) = 17*d(j) + 6*o(j). Solve a(i) = 0 for i.
-4, -1/4, 0, 1
Let r(l) be the second derivative of 45*l**5/4 - 20*l**4 + 23*l**3/2 - 3*l**2 + 111*l. Factor r(j).
3*(3*j - 2)*(5*j - 1)**2
Let t(j) = 2 + j**2 + 2*j + 3*j**2 - j**3 - 6. Let k be t(4). Factor k - 2 + q**2 + 11*q - 8*q.
(q + 1)*(q + 2)
Suppose -118*p + 487 = 203*p - 797. Factor 1/10*b**2 + 0*b + 0 - 1/5*b**3 + 1/10*b**p.
b**2*(b - 1)**2/10