**m - 2/11*p**2 + 0 = 0.
-1, 0
Let s(w) be the second derivative of w**6/80 + 363*w**5/20 + 39123*w**4/4 + 2125522*w**3 + 12519843*w**2 + 260*w - 3. Suppose s(h) = 0. What is h?
-322, -2
Let k(t) be the second derivative of 2*t**6/15 - 87*t**5/5 + 585*t**4 + 4050*t**3 - 195*t + 2. Let k(r) = 0. What is r?
-3, 0, 45
Let t(d) be the third derivative of -d**5/2 + 5*d**4/4 - 3*d**3/2 + 37*d**2. Let v(q) = -q**2. Let a(r) = -t(r) + 5*v(r). Find b, given that a(b) = 0.
3/5
Let k = 131 + -106. Let p = 7 + -9. Let s(v) = -85*v**2 + 155*v. Let d(w) = -7*w**2 + 13*w. Let t(y) = k*d(y) + p*s(y). Factor t(f).
-5*f*(f - 3)
Let n(v) be the second derivative of -5*v**7/42 + 161*v**6/6 - 6715*v**5/4 + 31205*v**4/4 - 2016*v. Factor n(i).
-5*i**2*(i - 79)**2*(i - 3)
Let z(l) be the third derivative of -21/160*l**5 + 4*l + 0 + 1/280*l**7 + 11*l**2 - 1/64*l**4 + 7/16*l**3 - 11/320*l**6. Find a such that z(a) = 0.
-1, 1/2, 7
Let u(a) = a**2 + 31*a + 56. Let r(l) be the third derivative of -5*l**4/4 - 55*l**3/6 + 37*l**2. Let s(t) = 4*r(t) + 5*u(t). Suppose s(f) = 0. What is f?
-4, -3
Suppose 562 = -54*p + 670. Factor 9/7*t + 3/7*t**3 + 12/7*t**p + 0.
3*t*(t + 1)*(t + 3)/7
Let x(j) be the third derivative of j**5/12 - 635*j**4/12 + 1265*j**3/6 + 10*j**2 - 131*j. Factor x(o).
5*(o - 253)*(o - 1)
Let y(o) = 14 + 2*o**2 - 3*o**2 - 19*o + 12*o**2 - 7*o. Let l(t) = -65*t**2 + 155*t - 85. Let r(g) = 6*l(g) + 35*y(g). Factor r(p).
-5*(p - 2)**2
Let h(t) be the third derivative of -109*t**2 + 0*t - 3/280*t**7 + 1/1344*t**8 + 0*t**3 + 0 + 5/96*t**6 - 9/80*t**5 + 5/48*t**4. Factor h(b).
b*(b - 5)*(b - 2)*(b - 1)**2/4
Factor -90*t - 14*t**3 + 0*t**4 + 39*t**2 - 194805 + t**4 + 194805 + 24*t**2.
t*(t - 6)*(t - 5)*(t - 3)
Let n(m) = -7*m**2 - 125*m - 3. Let d be n(7). Let k be (9 + d/135)*-190. Factor 16/9 + 56/9*q + 16/9*q**4 + k*q**2 + 50/9*q**3 + 2/9*q**5.
2*(q + 1)**2*(q + 2)**3/9
Suppose 956/3*d**3 + 1848*d**2 + 2/3*d**5 + 11858/3*d + 24*d**4 + 0 = 0. Calculate d.
-11, -7, 0
Let f(u) be the first derivative of 23*u**4/2 - 997*u**3/6 - 167*u**2/4 + 11*u + 437. Determine v so that f(v) = 0.
-1/4, 2/23, 11
Let l(u) be the first derivative of -u**3/27 + 245*u**2/9 - 976*u/9 + 2787. Solve l(m) = 0 for m.
2, 488
Let y(f) be the second derivative of 114*f + 0 + 53/11*f**2 - 2/55*f**5 - 71/11*f**3 + 36/11*f**4. Determine k so that y(k) = 0.
1/2, 53
Let u = -788 + 1243. Determine o so that u*o - 900*o + 452*o - o**2 + 30 = 0.
-3, 10
Let w(m) = 4*m**2 - 347*m + 266. Let p be w(86). Let l(s) be the first derivative of -p*s + 3 + 8/3*s**3 - 6*s**2. Solve l(f) = 0.
-1/2, 2
Factor -198226*y**2 - 228*y + 99110*y**2 + 99118*y**2 - 1694.
2*(y - 121)*(y + 7)
Suppose -2*z - 40*y = 432, 52*z + 5*y = 56*z - 71. Let j = 0 + 2. Suppose 4/3*r**3 + 8/3*r**2 + 2/3*r**5 - j*r + 0 - 8/3*r**z = 0. What is r?
-1, 0, 1, 3
Let k(w) = -1532*w + 4. Let i(n) = -n**2 - 2*n - 1. Let x(v) = -4*i(v) - k(v). Factor x(t).
4*t*(t + 385)
Let p be 114/(-20)*-1 + 57/(-190). Let z = -103/20 + p. Suppose z*y**2 + 1/2*y + 0 - 1/4*y**3 = 0. What is y?
-1, 0, 2
Suppose -2/5*r**3 - 188/5*r - 194/5*r**2 + 384/5 = 0. Calculate r.
-96, -2, 1
Let g = -1/98 - -25/49. Suppose 4 = 17*q - 47. Determine k so that 1 - g*k - k**2 + 1/2*k**q = 0.
-1, 1, 2
Let b(o) = 13*o**2 + 2. Let c be b(1). Let k(a) be the first derivative of 7*a**4 + 48*a - 4 - 79*a**4 - 144*a**2 + 184*a**3 + c*a**5 - 18*a**4. Factor k(s).
3*(s - 2)**2*(5*s - 2)**2
Let k be (-4)/5 + ((-7791)/140)/(-53). Let y be (-4)/18 + 35/36. What is z in -y*z**5 - 9/4*z**2 + k*z**4 + 1 - z + 11/4*z**3 = 0?
-2, -2/3, 1
Let u(q) be the first derivative of 2*q**3/45 - 28*q**2/5 - 558*q/5 - 4966. Find f such that u(f) = 0.
-9, 93
Let h be (-6 + 2)*(0 + 1). Let c be (h/10)/((-10)/75). Factor 2*m**3 + 10*m**2 - 4*m**2 - 5*m**c.
-3*m**2*(m - 2)
Suppose -5*a + 3*n - 5 + 20 = 0, 4*n = -4*a + 12. Solve -3/2*k**3 + a - 15/2*k + 6*k**2 = 0 for k.
1, 2
Let w be (-17)/(544/72) + 1060/400. Factor -2/5*p**2 - 8/5*p + w*p**3 + 8/5.
2*(p - 2)*(p - 1)*(p + 2)/5
Let s = 90 + -84. Factor 13*d**3 + s*d**3 - 24*d**2 - 23*d**3 - 36*d.
-4*d*(d + 3)**2
Let y(v) be the first derivative of -v**6/900 - v**5/24 + 13*v**4/120 + 140*v**3/3 + 38. Let j(g) be the third derivative of y(g). Factor j(d).
-(d + 13)*(2*d - 1)/5
Let i(z) be the second derivative of z**4/12 + 28*z**3 - 169*z**2/2 - 13*z + 6. Factor i(w).
(w - 1)*(w + 169)
Suppose -124*b = -17*b. Let -1/4*s**4 - 1/4*s**3 + s + b + s**2 = 0. What is s?
-2, -1, 0, 2
Factor 62/9*f**2 + 0 - 2/9*f**3 - 24*f.
-2*f*(f - 27)*(f - 4)/9
Let y be (-477)/(-3180)*(-4 - -9). Factor -7*v + y*v**3 + 1/4*v**4 - 3/2*v**2 - 6.
(v - 3)*(v + 2)**3/4
Solve -1/3*f**2 - 274576/3 - 1048/3*f = 0 for f.
-524
Let t(k) = 2*k**2 + 84*k - 166. Let u(j) = -50*j - 1. Let n(b) = t(b) + 2*u(b). Let n(i) = 0. What is i?
-6, 14
Let u = -265 + 268. Determine p so that -79*p - 20*p**u - 5*p**2 + 83*p + 21*p**3 = 0.
0, 1, 4
Let f = 4508 - 4505. Let w(z) be the third derivative of 0 + 1/96*z**4 - 24*z**2 + 1/240*z**5 + 0*z - 1/480*z**6 - 1/24*z**f. Factor w(v).
-(v - 1)**2*(v + 1)/4
Let o(y) = 2*y**2 + 56*y + 104. Let a(f) = f + 2. Let n(h) = 6*a(h) + o(h). Suppose n(g) = 0. What is g?
-29, -2
Let g(o) = 9*o + 136. Let n be g(-12). Let z be (n + -30)/(15/(-66)). Factor -z*q - 16/5 - 6*q**2.
-2*(3*q + 2)*(5*q + 4)/5
Let a(y) = y**3 + 8*y**2 - 6*y - 5. Let n be a(-9). Let g = 36 + n. Determine w so that -7*w**3 + 4*w**5 + 0*w**3 + g*w - w**3 = 0.
-1, 0, 1
Let h(z) be the first derivative of -z**6/36 + 13*z**5/15 - 49*z**4/24 + 4*z**3/3 + 216. Factor h(w).
-w**2*(w - 24)*(w - 1)**2/6
Let -234/7*t - 108 + 6/7*t**2 = 0. What is t?
-3, 42
Let l(z) be the first derivative of z**6/48 + 7*z**5/80 + z**4/8 + 50*z**3/3 + 34. Let v(a) be the third derivative of l(a). Factor v(r).
3*(r + 1)*(5*r + 2)/2
Let s(p) = -p**3 - 37*p**2 + 2103*p - 340. Let r be s(-68). Factor 2*m**3 + 0 + r*m**2 - 49/3*m**5 - 7/3*m**4 + 0*m.
-m**3*(7*m - 2)*(7*m + 3)/3
Let j(r) = -101*r**3 - 164*r**2 - 1500*r - 1118. Let k(y) = 7*y**3 + 12*y**2 + 107*y + 80. Let i(o) = 2*j(o) + 29*k(o). Factor i(s).
(s + 1)*(s + 7)*(s + 12)
Let s(y) = 11 - 8 + 4*y - 2*y**2 - 2*y**2. Let x(r) = -r**2 + 7 + 8 - 14 + r. Let n(k) = -s(k) + 3*x(k). Factor n(h).
h*(h - 1)
Factor 4/3*n - 1/3*n**3 + 4 - n**2.
-(n - 2)*(n + 2)*(n + 3)/3
Solve -8*x**2 - 58258*x - 6*x**4 + 16*x**3 + 2*x**4 + 58258*x - 4*x**2 = 0 for x.
0, 1, 3
Let u(t) be the third derivative of t**6/480 - 3*t**5/40 + t**4/12 + 16*t**3 + 4693*t**2. Factor u(w).
(w - 16)*(w - 6)*(w + 4)/4
Let h(w) be the first derivative of -5*w**4/4 - 565*w**3/3 - 8640*w**2 - 72900*w + 1377. Factor h(l).
-5*(l + 5)*(l + 54)**2
Suppose -3*m = w - 58, 6*w + 5*m + 95 = 404. Let x(h) be the first derivative of 17 - w*h - 1/3*h**3 - 7*h**2. Factor x(j).
-(j + 7)**2
What is i in 4/7*i**3 + 2908/7*i - 1460/7*i**2 - 1452/7 = 0?
1, 363
Let u be (-12)/(-54)*27/3. Let g(s) = -s**4 - s**3 - s**2. Let h(b) = 4*b**4 - b**3 - 8*b**2 - b. Let a(y) = u*g(y) - h(y). Factor a(q).
-q*(q - 1)*(q + 1)*(6*q + 1)
Let v(b) = -1. Let g(u) = u**2 - 10*u + 3. Let s be 12*(-1)/26*-13. Let i(q) = s*v(q) - g(q). Factor i(h).
-(h - 9)*(h - 1)
Suppose 13 = 5*h + 3. Suppose 10*y - h*y - 1352 = 0. Solve -y*b**3 - 4*b**2 + 85*b**3 + 80*b**3 = 0.
-1, 0
Factor 1096*g - 248*g + 430*g - 134*g + 327184 + g**2.
(g + 572)**2
Let w(t) be the second derivative of 2 + 16*t - 3/5*t**2 + 1/30*t**4 + 2/15*t**3. Factor w(i).
2*(i - 1)*(i + 3)/5
Factor -857 - 11*x**2 + 1712 - 855 + 12*x**2 - 1609*x.
x*(x - 1609)
Let k = -16/1239 - -44812/16107. Factor 0 + k*y - 2/13*y**2.
-2*y*(y - 18)/13
Let l(x) be the first derivative of -x**6/2340 - 8*x**5/195 - 64*x**4/39 + x**3/3 + x**2 - 91. Let a(b) be the third derivative of l(b). Factor a(z).
-2*(z + 16)**2/13
Let x(u) be the first derivative of 15*u**4/4 + 72*u**3 + 759*u**2/2 + 270*u - 3512. Let x(f) = 0. Calculate f.
-9, -5, -2/5
Let q = -3 + 6. Suppose -q*v + 6*v - 6 = 0. Let 2*i**5 - v*i**4 + 9*i**4 - 7*i**4 = 0. Calculate i.
0
Let i(g) be the third derivative of -3*g + 0 + 1/21*g**4 + 1/735*g**7 - 1/14*g**5 - 31*g**2 + 1/210*g**6 + 20/21*g**3. Find y such that i(y) = 0.
-5, -1, 2
Let l(o) be the second derivative of o**4/12 + 811*o**3/3 - 3816*o. Factor l(g).
g*(g + 1622)
Let t(w) be the third derivati