
Let z(b) be the third derivative of 1/180*b**6 - 1/9*b**5 - 39*b**2 + 8*b**3 + 0*b + 1/3*b**4 + 0. Factor z(s).
2*(s - 6)**2*(s + 2)/3
Let f be 122/(-183) + 1 + 92/(-6). Let o be ((-12)/(-12))/((-7)/f). Find q such that 3/7*q**2 + o*q + 12/7 = 0.
-4, -1
Let p = -2857/4 - -715. Determine o, given that -9/2*o**2 - p*o + 3/2*o**4 - 3/4*o**3 + 3/2 = 0.
-1, 1/2, 2
Let b = -5940 + 12315/2. Let f = 218 - b. Factor 0 + 0*o + f*o**2.
o**2/2
Let -2/11 - 12/11*l - 18/11*l**2 = 0. What is l?
-1/3
Let k = 10645/77 + -1516/11. Factor -1/7 - k*l**2 + 3/7*l + 1/7*l**3.
(l - 1)**3/7
Let o(b) = 3*b - 12. Let n be o(5). Let v be ((-18)/(-42))/(n/2). Factor -v*c**2 - 2/7*c + 4/7.
-2*(c - 1)*(c + 2)/7
Factor 4868 - 4*q**2 - 20750 - 80*q + 1714 - 8332 + 680*q.
-4*(q - 75)**2
Let p(j) be the second derivative of j**5/10 + 17*j**4/6 + 21*j**3 - 81*j**2 + 363*j. Suppose p(h) = 0. What is h?
-9, 1
Let c(n) be the first derivative of -5*n**3/3 - 5*n**2 - 5*n + 8. Suppose c(y) = 0. What is y?
-1
Let f = 1736 - 3471/2. Suppose 1/2*m**3 + f*m**4 + 1 - 3/2*m**2 - 1/2*m = 0. What is m?
-2, -1, 1
Let x(p) be the first derivative of p**3 + 21*p**2/2 + 36*p - 94. Factor x(q).
3*(q + 3)*(q + 4)
Let z(s) = -2*s. Let v(l) = -2*l**3 - 33*l**2 - 45*l + 30. Let k(u) = v(u) - z(u). Factor k(y).
-(y + 2)*(y + 15)*(2*y - 1)
What is f in 6/5 + 0*f - 2/15*f**2 = 0?
-3, 3
Let s = 43 + -40. Let 4*y + 3 + 7*y - s*y - y + 2*y**2 = 0. Calculate y.
-3, -1/2
Let d be 364/110 - 36/90. Let i = 119/22 - d. Factor 0*l + 0 - 1/2*l**3 - 1/2*l**2 - 3/2*l**5 + i*l**4.
-l**2*(l - 1)**2*(3*l + 1)/2
Let o be 8 + 0 + (-2)/2. Let b(v) = v**2 - 6*v - 4. Let r be b(o). Let 6*u**2 - 6*u**3 + r*u - 2 + 16*u**4 + 5*u**3 - 4*u - 18*u**4 = 0. What is u?
-2, -1/2, 1
Let v = 10 - 126/13. Solve -2/13*t**4 + 4/13*t - v*t**3 + 2/13 + 0*t**2 = 0.
-1, 1
Let o(c) be the first derivative of -c**3 - 27*c**2/2 - 24*c - 449. Factor o(q).
-3*(q + 1)*(q + 8)
Let w(k) = -k**2. Let t(o) = -o**2 - 180*o - 185. Let s(d) = -t(d) + 6*w(d). Factor s(z).
-5*(z - 37)*(z + 1)
Let n(a) be the third derivative of 0*a**3 + 0 + 1/180*a**6 - 26*a**2 + 1/90*a**5 + 0*a - 1/36*a**4 - 1/315*a**7. Find s such that n(s) = 0.
-1, 0, 1
Let d(l) be the third derivative of 5*l**5/42 + 17*l**4/14 + 8*l**3/21 + 2*l**2 + 107. Factor d(n).
2*(n + 4)*(25*n + 2)/7
Let l(x) be the second derivative of 5*x**4/12 - 110*x**3/3 + 1210*x**2 + x - 11. Factor l(y).
5*(y - 22)**2
Let r(z) be the second derivative of -z**5/360 + z**4/36 - z**3/12 - 2*z**2 + 7*z. Let h(d) be the first derivative of r(d). Suppose h(f) = 0. Calculate f.
1, 3
Suppose -15 = -5*i + 85. Let t be 46/40 - 8/i. Factor 0*r**2 + 0 - t*r**3 + r + 1/4*r**4.
r*(r - 2)**2*(r + 1)/4
Let w(a) be the second derivative of 3*a**5/40 - a**4/8 - 8*a - 3. Factor w(j).
3*j**2*(j - 1)/2
Solve -11/3*t**2 + 1/3*t**3 + 9 + 5*t = 0.
-1, 3, 9
Let b(z) = -27*z - 322. Let k be b(-12). Let p(t) be the first derivative of 0*t - 2/15*t**3 + 1/20*t**4 - 3 + 0*t**k + 1/25*t**5. Suppose p(a) = 0. What is a?
-2, 0, 1
Suppose -60*l = -54*l. Let c(y) be the third derivative of 1/6*y**4 + 0*y + 1/60*y**6 + 3*y**2 + 0*y**3 - 1/10*y**5 + l. Factor c(i).
2*i*(i - 2)*(i - 1)
Suppose -i + 6 = -2*l - l, 4*l + 6 = i. Let j(g) be the third derivative of 6*g**2 + 0*g**4 + 0*g**3 + 0*g + 1/600*g**i + 1/300*g**5 + 0. Factor j(o).
o**2*(o + 1)/5
Let w = 304318/177 + -5158/3. Let o = 169/354 - w. Factor -5*l + o*l**2 + 25/2.
(l - 5)**2/2
Let d(c) = -c**2 - 114*c + 600. Let m be d(-119). Factor 0 + 0*z - 2/9*z**2 - 2/3*z**3 - 2/9*z**m - 2/3*z**4.
-2*z**2*(z + 1)**3/9
Let b(y) be the first derivative of -y**4/18 - 5*y**3/27 - 2*y**2/9 + 3*y - 14. Let u(h) be the first derivative of b(h). Factor u(t).
-2*(t + 1)*(3*t + 2)/9
Let m(n) = -4*n**2 + 11*n - 7. Let c(v) = 4*v**2 - 10*v + 6. Let g(q) = 3*c(q) + 2*m(q). Factor g(p).
4*(p - 1)**2
Find v, given that -277*v**2 + 0*v**4 + 5 + 267*v**2 + 5*v**4 = 0.
-1, 1
Suppose 29*z - 66 = 21. Suppose h - 9 - 4 = -z*r, -4*h = -16. Find g, given that 0*g**r - 2/3*g + 0 - g**2 + 1/3*g**4 = 0.
-1, 0, 2
Factor -114*n**2 + 28*n**3 - 8*n + 41*n**2 - 12*n + 0*n.
n*(4*n + 1)*(7*n - 20)
Let g = 5 - 7. Let z be 9/((-4)/(g + -2)). Determine d so that -6*d**3 + 6*d - 114 + 114 + z*d**2 = 0.
-1/2, 0, 2
Let k be (15/18)/5*(-18 - -28). What is v in -v**3 + 1/3*v - k*v**4 + 1/3*v**2 - 2/3*v**5 + 0 = 0?
-1, 0, 1/2
Let q = -116 + 118. Factor 79*f - 70*f**3 + 21*f + 74*f**3 - 40*f**q.
4*f*(f - 5)**2
Let d = -25 - -24. Let b = d + 6. Factor 38*l**2 - 34*l**2 - 5*l - b*l**3 + 3*l + 3*l**3.
-2*l*(l - 1)**2
Let x(a) be the third derivative of 1/4*a**4 - 13*a**2 + 0*a + 0 - 1/20*a**5 - 1/2*a**3. Factor x(h).
-3*(h - 1)**2
Let q(c) = c**2 - 8*c - 7. Let a = -19 + 28. Let f be q(a). Find y such that -7 - 66*y**f + y + 2*y + 69*y**2 + 1 = 0.
-2, 1
Let a = 97 - 90. Let y(f) be the third derivative of 0*f + 1/525*f**a + 0 - 5*f**2 + 0*f**3 + 0*f**5 + 0*f**4 - 1/300*f**6. Let y(d) = 0. Calculate d.
0, 1
Suppose 4*h - 486 - 54 = 0. Let l = h - 133. Factor -1/3*r + 0 - 1/3*r**l.
-r*(r + 1)/3
Suppose 131*c - 229*c**2 + 2 + 62*c**2 - 101*c**2 + 135*c**3 = 0. Calculate c.
-2/135, 1
Factor -17496/11 - 6/11*r**2 - 648/11*r.
-6*(r + 54)**2/11
Let u = 26 + -22. Suppose 4*n**u - 2*n**2 + 6*n**2 + 1107*n**3 - 1115*n**3 = 0. What is n?
0, 1
Let p = 11 + -7. Determine l, given that 2*l - 9 + 8*l**2 + 12*l**4 + 2*l**5 - p*l**3 + 5 - 16*l**4 = 0.
-1, 1, 2
Let i(c) be the first derivative of -42*c**3/11 - 124*c**2/11 + 8*c/11 - 13. Solve i(q) = 0.
-2, 2/63
Let b be 1/(-3)*(5 - 2). Let x be 3 + 0 + (b - -2). Factor -3*l + 9*l**2 + 0*l**3 - 2*l**3 - x*l**3.
-3*l*(l - 1)*(2*l - 1)
Suppose 184*m + 16 = 180*m. Let u be 9/21 + m/28. Find s such that u*s**2 + 2/7*s - 4/7 = 0.
-2, 1
Let m(y) = 48*y**5 - 1767*y**4 + 18542*y**3 - 22420*y**2 + 7214*y + 3. Let c(x) = x**5 + x**4 - x**3 - 2*x + 1. Let r(d) = 3*c(d) - m(d). Factor r(v).
-5*v*(v - 19)**2*(3*v - 2)**2
Suppose y = -d + 83, 1 = 5*d + 26. Suppose 12 = -y*w + 91*w. Find s, given that 0 + 8/9*s - 40/9*s**2 + 46/9*s**3 - 14/9*s**w = 0.
0, 2/7, 1, 2
Let z be 83/30 - (41 - (-7887)/(-198)). Suppose 2*u + z*u**2 + 2/5 = 0. What is u?
-1, -1/4
Let s(m) be the third derivative of -1/280*m**6 + 0*m**4 + 0*m + 0*m**7 + 16*m**2 + 0 + 0*m**5 + 1/784*m**8 + 0*m**3. Solve s(r) = 0 for r.
-1, 0, 1
Let l(s) be the first derivative of 10 + 1/7*s**4 - 4/7*s**3 - 18/7*s**2 - 20/7*s. Factor l(k).
4*(k - 5)*(k + 1)**2/7
Let t = 47 + -47. Suppose t*n + 20 = 5*n. What is z in 3*z**2 - 5/2*z + z**3 - 7/2*z**n + 1/2 + 3/2*z**5 = 0?
-1, 1/3, 1
Let c(g) be the second derivative of g**6/135 - 8*g**5/45 - g**4/18 + 46*g**3/27 + 32*g**2/9 - 5*g - 4. Find w, given that c(w) = 0.
-1, 2, 16
Suppose -53*x + 104 + 55 = 0. Find p such that 102/7*p**4 + 242/7*p**2 + 16/7 + 108/7*p + 34*p**x + 2*p**5 = 0.
-4, -1, -2/7
Let i(y) be the first derivative of y**4/2 - 41*y**3/9 - 7*y**2/6 + 283. Factor i(r).
r*(r - 7)*(6*r + 1)/3
Let c(u) be the first derivative of -5*u**3/3 - 315*u**2/2 - 310*u + 37. Factor c(o).
-5*(o + 1)*(o + 62)
Let d = -40 + 43. Suppose 16 = -d*u + 5*b, u - 2*b + 6 = -1. Factor -2*z**2 - 18/7 - 30/7*z - 2/7*z**u.
-2*(z + 1)*(z + 3)**2/7
Let m(d) = -69*d + 556. Let y be m(8). Find c such that 16/3*c**2 - 8/3*c + 0 + 2/3*c**y - 10/3*c**3 = 0.
0, 1, 2
Let i(p) = 14*p - 4 + 31*p + 4 - 2. Let g be i(2). Find s such that 103*s - 14 + 12*s**3 + 23*s**3 + 4 - g*s + 60*s**2 = 0.
-1, 2/7
Let z be 16 + 7/((-77)/66). Let a(t) be the first derivative of -9 + 12/5*t**5 + 4*t + z*t**4 + 12*t**2 + 16*t**3. Factor a(u).
4*(u + 1)**3*(3*u + 1)
Let t(w) = w**2 - w + 3. Let z be t(0). Let 8*n**3 + 4*n - z*n**2 - 15*n**2 + 0*n**2 = 0. Calculate n.
0, 1/4, 2
Let i(v) be the third derivative of 5*v**8/336 + v**7/42 - v**6/3 - v**5 + 19*v**2 + 2. What is g in i(g) = 0?
-2, 0, 3
Factor -8/23*w**2 + 0 + 8/23*w**3 + 2/23*w**4 - 32/23*w.
2*w*(w - 2)*(w + 2)*(w + 4)/23
Let j = -402 + 1623/4. Let q(u) be the first derivative of 12*u**3 - 36/5*u**5 - j*u**4 - 6*u**2 + 0*u + 9/2*u**6 + 10. Suppose q(w) = 0. Calculate w.
-1, 0, 2/3, 1
Let g(h) be the second derivative of h**8/840 + h**7/420 - 9*h**3/2 + 20*h. Let m(p) be the second derivative of g(p). Factor m(u).
2*u**3*(u + 1)
Let p(q) be the third derivative of -1/6*q**5 - 4/9*q**4 + 0 - 4/9*q**3 