*3 = 0?
-7, -1, 2
Suppose -2*u + 12 = 8*i - 11*i, 0 = u + 4*i - 6. Let w(q) be the first derivative of 1/4*q**2 + 1/12*q**u - 1/4*q**4 + 0*q**3 + 0*q**5 - 2 + 0*q. Factor w(o).
o*(o - 1)**2*(o + 1)**2/2
Let p(l) be the first derivative of -l**5/30 - l**4/4 + l**2 - 4*l - 34. Let c(z) be the second derivative of p(z). Suppose c(w) = 0. What is w?
-3, 0
Suppose -a = 22 + 18. Let b be (48/(-9))/(-4)*(-36)/a. Let 8/5*n**2 - 8/5*n + b*n**3 + 0 = 0. Calculate n.
-2, 0, 2/3
Let k = 899/7455 + -9/355. What is y in -2/21*y**2 - k*y**3 + 0 + 4/21*y = 0?
-2, 0, 1
Let j(i) = i**2 - 4*i - 2. Let k be (-6)/4 - (-2)/4. Let h be (18/8)/((-9)/24). Let o(a) = 1. Let r(d) = h*o(d) + k*j(d). Factor r(x).
-(x - 2)**2
Let w(q) be the third derivative of -5*q**9/1008 + 3*q**8/560 + q**7/140 - 5*q**3/3 - 11*q**2. Let t(g) be the first derivative of w(g). Solve t(h) = 0 for h.
-2/5, 0, 1
Factor -4/5*d**5 - 5184*d + 576/5*d**2 + 8/5*d**4 + 608/5*d**3 - 17280.
-4*(d - 10)**2*(d + 6)**3/5
Factor -12*y**2 - y**4 + 29*y**2 - 204*y - 1553 + 1733 + 8*y**3.
-(y - 6)**2*(y - 1)*(y + 5)
Find y, given that -50/11 - 120/11*y - 24/11*y**3 - 2/11*y**4 - 92/11*y**2 = 0.
-5, -1
Let f be -2 + 2 + 3 + -1. Let o = 14 + -12. Find t, given that -6*t + o*t**2 + 2*t**2 - 3*t**3 - 3*t**2 - 10*t**f = 0.
-2, -1, 0
Let k be 9/((-3 + 34/18)/(76/(-57))). Factor 2/15*b**2 + 12/5*b + k.
2*(b + 9)**2/15
Let r(c) be the first derivative of -c**3/3 - 13*c**2/2 + 14*c - 231. Factor r(s).
-(s - 1)*(s + 14)
Solve -7/6*p**2 + 7/3*p**3 - 2/3*p - 1/2*p**4 + 0 = 0.
-1/3, 0, 1, 4
Suppose -3*r - 14 = -3*o - 2, -9 = -4*o - 3*r. Suppose 3*a - 302 = -5*l, -o*a = -0*a + 4*l - 298. Factor -94*w + w**3 - w**2 + a*w.
w**2*(w - 1)
Find l, given that 2*l**2 + 13*l - 36 - 6*l**2 + 5*l + 6*l = 0.
3
Let a(v) be the second derivative of -v**7/189 - 2*v**6/15 - 8*v**5/9 + v**4/3 + 3*v**3 + 9*v - 3. Determine x, given that a(x) = 0.
-9, -1, 0, 1
Let t(z) be the first derivative of 10*z**3/3 + 52*z**2 + 40*z - 69. Suppose t(j) = 0. What is j?
-10, -2/5
Let n(c) be the third derivative of 8*c**2 + 19/24*c**4 - 1/3*c**3 + 7/24*c**6 + 0 + 0*c - 13/15*c**5. Let n(r) = 0. What is r?
1/5, 2/7, 1
Factor 1/11*x**3 - 7/11*x**2 - 28/11*x - 20/11.
(x - 10)*(x + 1)*(x + 2)/11
Let -2/3*l**4 - 10/3*l**3 + 10/3*l + 14/3*l**2 - 4 = 0. Calculate l.
-6, -1, 1
Suppose 4*c = 5*o - 75, 5*o + 3*c - 37 = 38. Let b = o + -13. Solve 4*j**2 - b*j + 2*j - j - 9*j**2 = 0 for j.
-1/5, 0
Let f(z) = -z**3 + 16*z**2 - 55*z - 10. Let l be f(10). Determine p, given that -l*p + 24*p**3 + 332/7*p**2 + 50/7 + 18/7*p**4 = 0.
-5, 1/3
Let m be (-2)/(-210)*6*28/96. Let d(z) be the second derivative of 1/4*z**2 + m*z**6 + z + 0 + 1/3*z**3 + 1/10*z**5 + 1/4*z**4. Factor d(g).
(g + 1)**4/2
Suppose n = -3*t + 4*n + 72, 4*t = -3*n + 103. Suppose -t = -6*f + 65. Factor -x**3 + 5*x**3 - f*x**4 + 6*x**4 + 4*x**5 + x**4.
4*x**3*(x - 1)**2
Let j(v) be the third derivative of v**8/448 - v**7/28 + 3*v**6/40 + 9*v**5/10 + 3*v**2 - 3*v. Let j(k) = 0. What is k?
-2, 0, 6
Let q(r) be the first derivative of r**6/57 - 12*r**5/95 + 11*r**4/38 - 4*r**3/19 + 104. Solve q(m) = 0 for m.
0, 1, 2, 3
Let z be ((-2)/(-4))/(-4*(-3)/60) + -2. Factor z*h**2 + 3/2*h - 2.
(h - 1)*(h + 4)/2
Let j be 75/27 - (-2)/9. Factor -3 - 5*u**j - 2*u**5 - 14*u**4 - 50*u**2 - 32*u - 33*u**3 - 5.
-2*(u + 1)**3*(u + 2)**2
Let i = 11605 - 11603. Let 16/19 + 20/19*t + 4/19*t**3 - 22/19*t**i = 0. What is t?
-1/2, 2, 4
Determine y so that 3*y**4 + 441*y - 2*y**2 - y**2 - 2*y**2 - 6*y**3 - 10*y**2 - 423*y = 0.
-2, 0, 1, 3
Let n(p) be the first derivative of p**8/420 - p**6/30 - p**5/15 - 9*p**3 + 41. Let o(h) be the third derivative of n(h). Suppose o(d) = 0. What is d?
-1, 0, 2
Let f be 679/56 - 7 - (11 - 6). Let n + 1/2 - 7/8*n**3 - f*n**5 + 1/8*n**2 - 5/8*n**4 = 0. What is n?
-2, -1, 1
Let u(t) = 3*t**2 + 3*t + 6. Let n(q) = -15*q**2 + 6 + 9*q**2 + 4*q + 9*q**2. Let r(a) = -6*n(a) + 5*u(a). Find b such that r(b) = 0.
-2, -1
Let w(o) be the first derivative of 7/2*o**5 + 0*o**3 + 34 - 1/3*o**6 + 0*o + 9/8*o**4 + 0*o**2. Find x such that w(x) = 0.
-1/4, 0, 9
Let i(c) be the third derivative of 11*c**8/560 - c**7/70 - 39*c**6/200 + 37*c**5/100 + c**4/5 - 6*c**3/5 + 432*c**2. What is s in i(s) = 0?
-2, -6/11, 1
Let x(z) be the third derivative of -49*z**6/180 + 21*z**5/10 - 15*z**4/4 + 3*z**3 - 193*z**2. Factor x(v).
-2*(v - 3)*(7*v - 3)**2/3
Factor p**3 - 16 - 5*p**3 - 11 + 1 + 2 + 8*p**2 + 20*p.
-4*(p - 3)*(p - 1)*(p + 2)
Let u(y) be the third derivative of -1/2856*y**8 - 20*y**2 + 0*y + 1/102*y**4 + 0*y**3 + 0 - 1/102*y**5 + 1/1785*y**7 + 1/340*y**6. Solve u(r) = 0 for r.
-2, 0, 1
Let y(n) = 3*n**4 - 9*n**2 - 6*n + 3. Let w(k) = -3*k**4 - k**3 + 8*k**2 + 4*k - 2. Let o(t) = -3*w(t) - 2*y(t). Factor o(a).
3*a**2*(a - 1)*(a + 2)
Suppose -27*n + 25*n + 2 = 0. Let h(m) = 10*m**3 - 2*m**2 - 2*m + 4. Let v be h(n). Let -v - 2/5*l**2 + 4*l = 0. Calculate l.
5
Let i(u) be the second derivative of -u**6/135 + 4*u**5/45 - 17*u**4/54 + 10*u**3/27 - 375*u. Factor i(t).
-2*t*(t - 5)*(t - 2)*(t - 1)/9
Let w be 1/7*51/2601. Let q(c) be the second derivative of 0 + 0*c**2 - 3*c + 2/255*c**6 - w*c**7 - 1/51*c**4 + 1/170*c**5 + 0*c**3. Let q(i) = 0. Calculate i.
-1, 0, 1, 2
Let s(x) be the first derivative of -1/30*x**4 + 2/15*x + 1/15*x**2 - 10 - 2/45*x**3. Factor s(c).
-2*(c - 1)*(c + 1)**2/15
Let z(y) be the second derivative of -y**5/5 - 6*y**4 - 22*y**3 - 32*y**2 + 2*y - 51. Factor z(g).
-4*(g + 1)**2*(g + 16)
Let c be 7*(144/28)/2. Suppose 4*m - c = -5*m. Suppose -2/7*j**3 + 0 + 0*j**m + 2/7*j = 0. Calculate j.
-1, 0, 1
Let a(f) be the first derivative of 0*f**3 - 1/2*f**4 + 3*f**2 - 6 - 4*f. Factor a(z).
-2*(z - 1)**2*(z + 2)
Suppose 9 = -3*a, -2*f + 87*a = 78*a - 35. Determine q so that -2/7*q**2 + 8/21*q**f + 0*q - 2/21*q**3 + 0 = 0.
-3/4, 0, 1
Let l(z) = -2*z + 12. Let b be l(5). Factor -5 + 3*c**2 - c**b - 16*c + 8 - 21.
2*(c - 9)*(c + 1)
Let m be (6 + 136/(-20))*-5. Let b(r) be the second derivative of 2*r**2 + 0*r**3 - 1/20*r**5 + 0 - 1/4*r**4 + m*r. Factor b(y).
-(y - 1)*(y + 2)**2
Let t = -1994 - -17948/9. Factor t*k + 2/9*k**2 - 4/9.
2*(k - 1)*(k + 2)/9
Let r(t) be the first derivative of 2*t**3/3 + 38*t**2 + 144*t - 75. Factor r(i).
2*(i + 2)*(i + 36)
Let u(f) be the second derivative of -1/5*f**4 + 2/5*f**3 + 11*f + 0 + 0*f**2 + 3/100*f**5. Factor u(c).
3*c*(c - 2)**2/5
Let d(i) be the first derivative of -i**4/4 - i**3/2 - 20*i - 17. Let n(t) be the first derivative of d(t). Factor n(w).
-3*w*(w + 1)
Find n, given that 23/3*n + 1/3*n**3 - 10/3*n**2 - 14/3 = 0.
1, 2, 7
Let a(d) = -6*d**4 + 9*d**3 - 3*d**2 - 3*d + 3. Let y = 22 + -24. Let p(h) = -5*h**4 + 8*h**3 - 2*h**2 - 4*h + 3. Let o(u) = y*a(u) + 3*p(u). Factor o(v).
-3*(v - 1)**3*(v + 1)
Let g(u) be the third derivative of -u**5/120 - 5*u**4/24 + 11*u**3/12 - 164*u**2. Factor g(o).
-(o - 1)*(o + 11)/2
Let c(j) = 6*j**2. Let p(z) = 9*z**2. Let a = -13 + 18. Let s(k) = a*p(k) - 7*c(k). Factor s(y).
3*y**2
Let x(h) be the second derivative of -h**7/840 + h**6/480 + h**5/240 - h**4/96 + 11*h**2/2 - 19*h. Let y(i) be the first derivative of x(i). Factor y(s).
-s*(s - 1)**2*(s + 1)/4
Let w(f) = -3*f**2 + 375*f + 2774. Let c be w(-7). Factor c - 4/3*u - 2/3*u**2.
-2*(u - 1)*(u + 3)/3
Suppose -10*t = -13*t + 84. Let f be ((-7)/t)/(10/(-16)). What is b in -1/5*b**2 + 1/5*b + f = 0?
-1, 2
Solve -20/3*k + 50/3 + 2/3*k**2 = 0 for k.
5
Let k = -18/5 + 113/30. Let l(b) be the first derivative of 1/9*b**3 - 1/15*b**5 - k*b**2 + 0*b - 2 + 1/12*b**4. Factor l(t).
-t*(t - 1)**2*(t + 1)/3
Let c(y) be the first derivative of -7*y**4/20 - 2*y**3 + 27*y**2/10 + 2*y + 147. Find a such that c(a) = 0.
-5, -2/7, 1
Let d be 108/18 + (-3)/1. Let -1/7*o**4 + 0*o + 0 - 1/7*o**2 + 2/7*o**d = 0. What is o?
0, 1
Let d(i) = 2*i - 14. Let a be d(8). Suppose 10 = a*l + 3*l. Find m, given that -4*m**2 - 2*m**4 - m**3 - m**3 - 2*m**3 - l*m**3 = 0.
-2, -1, 0
Let g(u) be the third derivative of -u**6/120 + u**5/45 + 5*u**4/18 - 16*u**3/9 + 64*u**2 - 1. Factor g(x).
-(x - 2)**2*(3*x + 8)/3
Let j(d) be the first derivative of -1/7*d**2 - 2/35*d**5 + 2/21*d**3 + 13/14*d**4 - 4/7*d**6 - 6 + 0*d. Suppose j(y) = 0. What is y?
-1, -1/3, 0, 1/4, 1
Factor 56*i**3 + 2*i**5 - 10*i**3 - 6*i**2 + 26*i**4 +