m + 23*m - 110*m**3 + 5*m**4 - 5*m**2 - 37*m + 230*m.
5*m*(m - 22)*(m - 1)*(m + 1)
Let o(m) = 47*m + 99. Let j be o(-3). Let t be 8 - (-342)/j - (-17)/21. Factor 1/6*d**3 - 5/6*d + 0 + t*d**2.
d*(d - 1)*(d + 5)/6
Let v(l) be the third derivative of 7 + 3*l**2 - 2/3*l**4 + 0*l + 1/60*l**5 + 5/2*l**3. Factor v(f).
(f - 15)*(f - 1)
Let s be ((-3)/4)/(((-105)/40)/(104/52)). Let y be -1 + (0/(-1) - -1). Solve y*j - s*j**2 + 16/7 = 0.
-2, 2
Factor 98/5*m**2 - 2/5*m**3 + 208/5 + 308/5*m.
-2*(m - 52)*(m + 1)*(m + 2)/5
Let d be 1936/72 + 430/387. Let a(w) be the third derivative of 0 + 0*w - d*w**2 + 3*w**3 + 1/6*w**4 + 1/270*w**5. Suppose a(c) = 0. What is c?
-9
Let o(q) be the first derivative of 3*q**5/50 - q**4/10 - q**3/5 + 3*q**2/5 - 67*q + 193. Let c(p) be the first derivative of o(p). Suppose c(l) = 0. What is l?
-1, 1
Let h be 4/(-18) + (-692)/(-519). Suppose h*b**2 + 16/9*b + 8/9 + 2/9*b**3 = 0. What is b?
-2, -1
Let f(p) be the second derivative of -1/15*p**3 + 1/120*p**4 + 0 + 1/300*p**5 - 2*p**2 + 21*p. Let x(i) be the first derivative of f(i). Factor x(d).
(d - 1)*(d + 2)/5
Let z(t) = -t - 8. Let v(w) = w**2 - w. Let i(s) = v(s) + z(s). Let d be i(4). Find a, given that d*a - 3*a**2 + 0*a - 6*a = 0.
-2, 0
Let k(r) = 50*r**2 + 996*r - 78. Let y be k(-20). Let s(u) be the first derivative of 0*u - 12*u**4 - 3/2*u**y + 8*u**3 + 34. Suppose s(i) = 0. What is i?
0, 1/4
Let q(k) be the first derivative of k**4/18 + 20*k**3/9 + 23*k**2/9 - 116*k/3 + 1707. Factor q(l).
2*(l - 2)*(l + 3)*(l + 29)/9
Let p(z) = -2*z**4 - 71*z**3 + 217*z**2 + 1701*z + 2033. Let j(s) = 3*s**4 + 141*s**3 - 432*s**2 - 3405*s - 4065. Let i(x) = 5*j(x) + 9*p(x). Factor i(l).
-3*(l - 13)**2*(l + 2)**2
Let z(c) be the first derivative of c**3 + 333*c**2 + 1320*c - 4699. Solve z(x) = 0.
-220, -2
Let q(l) be the first derivative of l**5/5 - l**4/2 - l**2 + 94. Let h(p) = 9*p**4 - 3*p**3 - 24*p. Let f(o) = -h(o) + 6*q(o). Determine v, given that f(v) = 0.
-2, 0, 1
Let o(l) be the first derivative of -2*l**5/5 + 71*l**4/2 - 780*l**3 - 8377. Factor o(k).
-2*k**2*(k - 45)*(k - 26)
Suppose 119 = 45*x + 18*x - 7. Find a such that 2/11*a**x - 32/11*a + 30/11 = 0.
1, 15
Let n be (-4 + 5 - 4) + 3. Let h(t) be the third derivative of 29/120*t**6 - 1/6*t**4 + n*t - 1/10*t**7 - 1/15*t**5 + 0*t**3 + 4*t**2 + 0. Factor h(l).
-l*(l - 1)*(3*l - 2)*(7*l + 2)
Let 83/7*d**3 + 8/7*d**4 - 54/7 - 123/7*d + 86/7*d**2 = 0. What is d?
-9, -2, -3/8, 1
Suppose 20*n - 113 = -73. Let m(c) = 2*c**5 + 30*c**4 + 88*c**3 + 112*c**2 + 70*c + 16. Let h(t) = t**5 + t**4 - t. Let i(f) = n*h(f) + m(f). Factor i(z).
4*(z + 1)**4*(z + 4)
Suppose -5*t = 5*v + 25, -2*t - 5*v + 6*v + 5 = 0. Suppose t = -7*q + 3*q + 8. Factor 1/3*u**3 - 1/3 - u**q + u.
(u - 1)**3/3
Let b(w) be the first derivative of -34*w**3/3 + 49*w**2 + 12*w - 1830. Factor b(s).
-2*(s - 3)*(17*s + 2)
Let a(q) be the third derivative of -q**4 - 9/10*q**6 + 0*q + 3*q**2 + 0 - 8/5*q**5 - 8/35*q**7 - 5/224*q**8 + 0*q**3. Factor a(h).
-3*h*(h + 2)**3*(5*h + 2)/2
Factor 494/15*v - 2/15*v**2 - 164/5.
-2*(v - 246)*(v - 1)/15
Let n(d) be the first derivative of d**5/100 + 3*d**4/20 + 9*d**3/10 - 5*d**2/2 + 32*d - 47. Let v(k) be the second derivative of n(k). Factor v(p).
3*(p + 3)**2/5
Factor -27/4*r - 27 + 3/4*r**2.
3*(r - 12)*(r + 3)/4
Factor -280 - 20*d**2 - 21*d**2 - 280 + 40*d**2 - 407*d - 154*d.
-(d + 1)*(d + 560)
Let f(k) be the second derivative of 2*k**7/21 - 4*k**6/5 + 4*k**5/5 + 2*k**4 - 10*k**3/3 + 2*k + 266. Factor f(l).
4*l*(l - 5)*(l - 1)**2*(l + 1)
Suppose 4*v + x = 19, -2*v - 5*x + 23 = -0. Let p(c) be the second derivative of 9/4*c**5 + 5/6*c**3 + 0 - 5/2*c**v + 0*c**2 + 6*c. Find r such that p(r) = 0.
0, 1/3
Let l(f) be the first derivative of -f**5/55 + 5*f**4/132 + f**3/33 + 59*f**2/2 + 48. Let c(w) be the second derivative of l(w). Determine h so that c(h) = 0.
-1/6, 1
Let c = -795 - -1120. Let k = -1299/4 + c. Factor -2*v + 4 + k*v**2.
(v - 4)**2/4
Let w(r) be the first derivative of r**6/3 + 56*r**5/5 + 257*r**4/2 + 1876*r**3/3 + 1212*r**2 + 1008*r + 9014. What is u in w(u) = 0?
-14, -6, -1
Factor -260/7 + 44/7*z**2 - 2/7*z**3 + 218/7*z.
-2*(z - 26)*(z - 1)*(z + 5)/7
Suppose -1056/7*m**2 - 1052/7 + 2/7*m**3 + 2106/7*m = 0. Calculate m.
1, 526
Let h be 20 + -25 - (65 + 2)*-1. Suppose 27*p + 8 = h. Solve -35/2*s**p + 25/2*s + 5 = 0.
-2/7, 1
Let m(k) be the first derivative of 0*k + 59 + 8*k**3 - 3/4*k**6 - 15*k**4 - 69/10*k**5 + 0*k**2. Factor m(h).
-3*h**2*(h + 4)**2*(3*h - 1)/2
Factor 28/3*j + 2/3*j**2 + 16.
2*(j + 2)*(j + 12)/3
Let h(p) be the second derivative of -p**6/120 + 57*p**5/10 - 26219*p**4/24 + 4313*p**3 - 51529*p**2/8 + 2654*p. Solve h(i) = 0.
1, 227
Suppose 13 = 20*o - 18*o - 3*l, 0 = 2*l + 6. Let -2*i**2 + 8*i**2 - i**o - 4*i**2 = 0. What is i?
0
Let -14/3*p**3 + 10/3*p - p**2 + 4/3*p**5 + 0 + p**4 = 0. What is p?
-2, -1, 0, 1, 5/4
Suppose -24*t + 9*t + 2520 = 0. Let w = t - 836/5. Factor -48/5*c + 24/5*c**2 - w*c**3 + 32/5.
-4*(c - 2)**3/5
Let k = 311 - 275. Let m be (7 - k/4) + 32/14. Determine w, given that m*w**4 - 6/7*w**2 + 2/7*w + 4/7 - 2/7*w**3 = 0.
-1, 1, 2
Factor -12960*l - 2107*l**5 + 15*l**4 - 3188 - 420*l**3 - 5884 - 2109*l**5 - 4320*l**2 + 4219*l**5.
3*(l - 14)*(l + 1)*(l + 6)**3
Let s(d) = 41*d - 120. Let o be s(4). Let w be (-1)/o - (-36)/48. Factor -2/11*j**2 + w - 6/11*j.
-2*(j - 1)*(j + 4)/11
Suppose 813 = -19*b + 22*b. Let -343*y**3 - 3*y**4 + 108*y**3 + 102*y**3 - b*y - 108 + 91*y**3 - 183*y**2 + 19*y = 0. Calculate y.
-6, -1
Determine u so that 24/5 - u**4 + 8/5*u**3 + 23/5*u**2 - 10*u = 0.
-12/5, 1, 2
Let d = 9268 - 9263. Let h(z) be the first derivative of -27/4*z + 153/16*z**2 + 5*z**3 + 21/32*z**4 - d. Factor h(a).
3*(a + 3)**2*(7*a - 2)/8
Let s(n) be the second derivative of -26*n + 0*n**3 + 0 + 43/2*n**2 + 11/45*n**5 - 5/18*n**4 - 1/45*n**6. Let j(b) be the first derivative of s(b). Factor j(r).
-4*r*(r - 5)*(2*r - 1)/3
Let v be 30/70*(-567)/81*134/(-8). Determine w so that -69/4*w**2 + 9/2 + v*w = 0.
-2/23, 3
Let b(i) = -4*i - 189. Let m be b(19). Let c = m + 1333/5. Factor -1/5*l**3 + 18/5 - 21/5*l + c*l**2.
-(l - 3)**2*(l - 2)/5
Let w(j) be the second derivative of 5*j**4/24 - 35*j**3/4 - 115*j**2/2 + 121*j + 1. Find h, given that w(h) = 0.
-2, 23
Suppose -10 = 4*p - 22. Determine a, given that -518*a**4 - 8*a**2 + 517*a**4 + 0*a**2 + 6*a**p = 0.
0, 2, 4
Find v such that 4515/4*v + 3/4*v**3 + 5547 - 123/2*v**2 = 0.
-4, 43
Let l be (-455)/(-26)*60/21. Let q be 7/3 + l/30. Determine g, given that 23/4*g**q + 0 + g**5 - g + 15/2*g**3 + 7/4*g**2 = 0.
-4, -1, 0, 1/4
Let p(v) = 2*v**4 + 384*v**3 - 7942*v**2 + 52188*v - 8. Let w(s) = -s**4 - 128*s**3 + 2647*s**2 - 17383*s + 3. Let d(y) = -3*p(y) - 8*w(y). Factor d(a).
2*a*(a - 25)**2*(a - 14)
Let u be 1999*4/12 + (-4 + 5)/3. Let l(p) be the first derivative of -u*p - 20/3*p**3 + 17 + 100*p**2 + 1/6*p**4. Factor l(h).
2*(h - 10)**3/3
Determine n, given that -221/2*n**4 - 2*n**5 + 5400 - 12240*n + 7716*n**2 - 1244*n**3 = 0.
-30, 3/4, 2
Let x(q) be the first derivative of q**6/6 - 14*q**5/5 - 3*q**4 + 440*q**3/3 + 400*q**2 + 763. Solve x(z) = 0.
-4, -2, 0, 10
Factor 205 + 341*v**2 - 225*v + 1037 - 338*v**2.
3*(v - 69)*(v - 6)
Let c be 12 + -12 + 5 + 46. Suppose 59 = 22*n - c. Suppose 4/7*x**2 - 2/7*x + 0 + 2/7*x**n - 4/7*x**4 + 0*x**3 = 0. What is x?
-1, 0, 1
Factor -81*o**2 - 4*o**3 - 2826 - 8*o**2 + 45262 - 731*o**2 - 41612*o.
-4*(o - 1)*(o + 103)**2
Suppose 15*g - 240 = -0*g. Suppose u + 7 = 2*m, -18 = -m - u - g. Let -3*i**m + 3/2*i**5 + 18*i**2 - 9 + 3/2*i - 9*i**4 = 0. Calculate i.
-1, 1, 6
Let v(s) = 6*s**2 + 111*s + 245. Let w be v(-16). Let 10/7*p**4 + 6/7*p**2 + 0 - 1/7*p - 3/7*p**w - 12/7*p**3 = 0. Calculate p.
0, 1/3, 1
Suppose -29 + 133 = 35*x + 69. Solve -1/2*d**5 - 3*d**4 - 8*d**2 - x - 7*d**3 - 9/2*d = 0 for d.
-2, -1
Let u(a) be the second derivative of -a**5/10 + 37*a**4/6 + 260*a**3 + 803*a - 2. Factor u(l).
-2*l*(l - 52)*(l + 15)
Let y(s) be the first derivative of 4*s**3/9 - 148*s**2/3 + 284*s + 3731. Let y(q) = 0. What is q?
3, 71
Let a = 139 + -137. Factor -245*r + 43*r**3 - 5*r**4 + 22*r**3 + 15*r**a - 190*r**2.
-5*r*(r - 7)**2*(r + 1)
Let y be 7/5*11/((-231)/(-5466)). Let u = 365 - y. Solve -u + 9/5*o**2 - 3/5*o**3 + 3/