*(m + 1)**2/5
Let q(n) be the second derivative of 1/2*n**3 + 2/15*n**6 - 1/10*n**5 - 3*n - 11 - 1/3*n**4 - 1/42*n**7 + 0*n**2. Factor q(u).
-u*(u - 3)*(u - 1)**2*(u + 1)
Find x such that 71/2*x**2 - 165*x - 1/2*x**3 + 0 = 0.
0, 5, 66
Let d(w) = -2*w**2 + 11*w - 3. Let x(f) = -2*f + 14. Let u be x(0). Let p(m) = 4 + u - 34*m + 3 + 6*m**2 - 13. Let a(y) = -10*d(y) - 3*p(y). Factor a(v).
2*(v - 3)*(v - 1)
Find m such that 0 - 1798/7*m**2 + 118/7*m**3 - 2/7*m**4 + 1682/7*m = 0.
0, 1, 29
Let g(o) be the third derivative of o**6/540 - 121*o**5/270 - 61*o**4/54 + 3623*o**2. Factor g(a).
2*a*(a - 122)*(a + 1)/9
Factor 2/21*y**3 - 44/3 - 52/21*y**2 + 358/21*y.
2*(y - 14)*(y - 11)*(y - 1)/21
Let g(u) be the third derivative of -u**7/105 - u**6/4 + 2*u**5/15 + 5*u**4 + 131*u**2. Determine x so that g(x) = 0.
-15, -2, 0, 2
Let l = 561390/1543883 + 2/140353. Factor -2/11*f**3 + 6/11*f**2 - l*f + 0.
-2*f*(f - 2)*(f - 1)/11
Let g(s) = -s**2 + 1. Suppose -3*p = 2*k - 41 + 39, 2*k - 2 = p. Let x(v) = -3*v**3 + 12*v**2 + 3*v - 12. Let d(w) = k*x(w) + 15*g(w). Factor d(l).
-3*(l - 1)*(l + 1)**2
Let k(d) be the first derivative of -5*d**3/3 - 305*d**2/2 - 300*d + 77. Find w, given that k(w) = 0.
-60, -1
Let l be (9 - -7)*(-4 + 3 + -3). Let u = -61 - l. Factor -2*c**4 + 36*c**u - 16*c**3 + 7*c**4 + 15*c**2.
5*c**2*(c + 1)*(c + 3)
Let c be (-157)/((-77715)/27786) - 56. Factor 6/5*n**2 - c*n**3 + 2 - 46/15*n.
-2*(n - 5)*(n - 3)*(n - 1)/15
Let a(b) be the second derivative of 1/120*b**4 - 9/20*b**2 - 47*b + 0 + 0*b**3. Factor a(v).
(v - 3)*(v + 3)/10
Let t(l) = 10*l**2 + 28*l - 49 - 11*l - 14*l**2 + 3*l**2. Let u be t(4). Determine b, given that 2*b - 2/3*b**u + 0*b**2 - 4/3 = 0.
-2, 1
Let h = -99 - -93. Let k be (-1 - -4) + 6/(36/h). Determine v so that -314*v - 9*v**k + 0*v**4 - 3*v**4 + 6*v**4 + 320*v = 0.
-2, 0, 1
Let s be (156/65)/(-4) - 26/(-10). Suppose -10 = s*u - 7*u. Suppose 1/7*k**4 + 1/7 - 2/7*k**u - 1/7*k**5 - 1/7*k + 2/7*k**3 = 0. Calculate k.
-1, 1
Let s(l) = 22*l**2 - 4*l - 7. Suppose 11 = 3*a - 0*d + 2*d, -4*a = -4*d - 28. Let m(j) = 3*j**2 - j - 1. Let i(k) = a*s(k) - 35*m(k). Solve i(h) = 0.
-3, 0
What is r in -64/5*r**3 - 4/5*r**4 - 64*r**2 + 0 - 512/5*r = 0?
-8, -4, 0
Let u(y) be the second derivative of -y**7/10 - y**6/20 + 7*y**5/5 + y**4 - 7*y**2/2 - 30*y. Let l(a) be the first derivative of u(a). Factor l(d).
-3*d*(d - 2)*(d + 2)*(7*d + 2)
Let o(w) be the second derivative of 1/462*w**7 - 1/330*w**6 - 9/110*w**5 + 13/33*w**4 - 20/33*w**3 + 0*w**2 - 42*w + 0. Determine c, given that o(c) = 0.
-5, 0, 2
Let v(k) = -10*k**3 + 552*k**2 + 3390*k - 3905. Let d(x) = -4*x**3 + 276*x**2 + 1696*x - 1956. Let q(y) = 9*d(y) - 4*v(y). What is h in q(h) = 0?
-62, -8, 1
Let w be (10/(-6))/((-5684)/4552). Let k = w + -2/1421. Let 44/3*i + 121/3*i**2 + k = 0. Calculate i.
-2/11
Let j = 7783/3 - 2594. Let q(u) be the first derivative of -j*u**3 + 28 - 2*u**2 - 4*u. Determine m, given that q(m) = 0.
-2
Determine i so that 16156 + 7*i + 3*i**2 - 16132 - 7*i - 18*i = 0.
2, 4
Let g be -4 + 8/5*5. Factor 880*y**4 + 3*y**2 - y**5 + 7*y**5 - 20*y**3 + 7*y**2 - y**5 + 15*y - 890*y**g.
5*y*(y - 3)*(y - 1)*(y + 1)**2
Let a(u) be the first derivative of -u**2 + 58 - u - 1/3*u**3. Factor a(l).
-(l + 1)**2
Let q(x) be the third derivative of -x**6/240 + 131*x**5/120 - 65*x**4/24 + 3490*x**2 + x. Find s such that q(s) = 0.
0, 1, 130
Let s(d) = 2*d - 7. Let r be s(4). Suppose 2*o - r - 3 = 0. Find t, given that 8*t**o - 8*t**2 + 2*t**3 + 6*t**2 = 0.
-3, 0
Let c(w) be the third derivative of w**8/400 - w**7/1575 + w**4/8 + 13*w**2 - 2. Let s(k) be the second derivative of c(k). Factor s(z).
4*z**2*(21*z - 2)/5
Let u(s) be the first derivative of 2*s**5/35 + 9*s**4/14 + 6*s**3/7 - 7*s**2 + 60*s/7 - 699. Factor u(l).
2*(l - 1)**2*(l + 5)*(l + 6)/7
Let q(a) be the second derivative of a**7/21 + 3*a**6 + 148*a**5/5 + 5910*a. Solve q(f) = 0.
-37, -8, 0
Find g such that -114/5*g**2 - 6048/5 + 288*g + 3/5*g**3 = 0.
12, 14
Solve 16/3*u + 16/9*u**2 + 0 - 41/3*u**3 - 91/9*u**4 = 0.
-1, -12/13, 0, 4/7
Let r(n) = 10*n**3 - 8240*n**2 - 4521030*n - 827345765. Let t(d) = -7*d**3 + 8239*d**2 + 4521027*d + 827345761. Let i(x) = -4*r(x) - 5*t(x). Factor i(q).
-5*(q + 549)**3
Let f(c) be the first derivative of c**6/36 - c**5/6 - 3*c**4/8 + 41*c**3/18 + 8*c**2/3 - 10*c - 13051. Solve f(w) = 0.
-2, 1, 3, 5
Determine h, given that 78816263654*h + 1/2*h**4 + 134105872607281/2 + 34741227*h**2 + 6806*h**3 = 0.
-3403
Let i be (0/76)/(18/(-9)). Factor -2/5*q**3 - 2/5*q**2 + 0*q + i.
-2*q**2*(q + 1)/5
Let l(s) be the second derivative of -s**6/15 - 39*s**5/10 - 105*s**4/2 + 441*s**3 - 2047*s. Determine n so that l(n) = 0.
-21, 0, 3
Let f(p) be the third derivative of -1/15*p**5 - 27*p**2 + 0 + 7/6*p**3 - 1/6*p**4 + 0*p + 1/30*p**6. Let k(l) be the first derivative of f(l). Factor k(r).
4*(r - 1)*(3*r + 1)
Factor -278 - 9727*c**2 + 545*c - 818 + 9722*c**2 + 26.
-5*(c - 107)*(c - 2)
Let o(z) be the first derivative of 2*z**5/25 + 23*z**4/10 + 132*z**3/5 + 756*z**2/5 + 432*z - 4915. What is q in o(q) = 0?
-6, -5
Factor -3023/7*i + 1/7*i**3 - 1510/7*i**2 - 216.
(i - 1512)*(i + 1)**2/7
Suppose 8*b = -5*f + 3*b + 30, -4*b = -12. Factor -2*h**2 - 78*h**3 + 1 + h**4 + 3*h**2 + 78*h**3 - f*h**2.
(h - 1)**2*(h + 1)**2
Let l = -1203 + 1707. Let b = l + -3527/7. Find y such that -4/7 + 5/7*y**2 - b*y = 0.
-4/5, 1
Find b such that -84*b + 2/5*b**2 + 4410 = 0.
105
Let v(a) be the second derivative of a**4/20 - 848*a**3/5 + 1017*a**2/2 - 243*a + 4. Suppose v(d) = 0. What is d?
1, 1695
Suppose 143698 - 143534 = 82*i. Find s such that 36/5*s**i + 39/5*s**3 + 12/5*s + 3/5*s**5 + 18/5*s**4 + 0 = 0.
-2, -1, 0
Let k(b) be the second derivative of -9*b**4 - 490*b**3/3 - 36*b**2 - 690*b. Let k(a) = 0. Calculate a.
-9, -2/27
Let m(x) = 3*x**2 + 6*x + 18. Let a(l) = -2*l**2 - 5*l - 17. Let u = -14 - -6. Let g(f) = -2*f - 22. Let n be g(u). Let i(y) = n*a(y) - 5*m(y). Factor i(b).
-3*(b - 2)*(b + 2)
Suppose 4*x + 5 = 33. Let y be -3*16/(-84)*x*1. Factor 201*f - 195*f + y - 4 + 2*f**2.
2*f*(f + 3)
Let f be (-4 + (-154)/(-33))/((-2)/(-12)). Factor -227*u**f + 247*u**4 + u**5 - 5*u**5 - 12*u**3 - 36*u**2 + 10 - 10.
-4*u**2*(u - 3)**2*(u + 1)
Let i(t) = 14*t**3 + 128*t**2 + 438*t + 315. Let g(p) = 11*p**3 + 127*p**2 + 437*p + 315. Let a(y) = -3*g(y) + 2*i(y). Let a(u) = 0. Calculate u.
-21, -3, -1
Let m(q) = -43257*q**2 + 1854*q - 20. Let p(l) = 43255*l**2 - 1855*l + 20. Let g = 36 - 31. Let o(w) = g*m(w) + 6*p(w). Solve o(u) = 0 for u.
2/93
Suppose -4*r - 8148 = 24*r. Let v = r - -583/2. What is z in 1/4*z - 1/4*z**2 + v = 0?
-1, 2
Let v(d) = -20*d**2 - 400*d + 396. Let g(r) = -6*r**2. Let w(b) = 4*g(b) - v(b). Factor w(l).
-4*(l - 99)*(l - 1)
Let f be ((-18)/120)/((-4)/((-220)/(-99))). Let c(m) be the first derivative of 2/9*m**3 + 1/6*m**2 + 0*m + f*m**4 - 21. Determine k, given that c(k) = 0.
-1, 0
Let c(a) = 2*a**3 - a**2 - 3*a - 1. Let x(m) = -21*m**3 - 1237*m**2 + 519201*m - 71991285. Let o(t) = -22*c(t) - 2*x(t). Factor o(v).
-2*(v - 416)**3
Let o(g) be the first derivative of g**4/18 - 10*g**3/9 + 3*g**2 - 94*g + 2. Let c(a) be the first derivative of o(a). Factor c(r).
2*(r - 9)*(r - 1)/3
Let u(v) be the third derivative of v**8/84 + 4*v**7/7 + 133*v**6/15 + 308*v**5/15 - 1089*v**4/2 + 5324*v**3/3 - 236*v**2 - 8*v. Solve u(f) = 0.
-11, 1, 2
Factor -210*q**2 - 162*q + 0 - 177/2*q**3 - 12*q**4.
-3*q*(q + 2)**2*(8*q + 27)/2
Factor 224*n + 918*n**2 + 40/3 - 578/3*n**3.
-2*(n - 5)*(17*n + 2)**2/3
Let l(x) be the first derivative of 5*x**4/12 + 86*x**3/3 + 546*x**2 - 1352*x/3 + 64. Factor l(h).
(h + 26)**2*(5*h - 2)/3
Suppose 10*h = 19*h - 18. Let t = -706 + 4950/7. Factor 0*d**h + 4/7*d**3 - 12/7*d + t.
4*(d - 1)**2*(d + 2)/7
Let i(q) be the second derivative of -q**7/294 + 2*q**6/105 + q**5/140 - q**4/21 - 8*q + 20. Let i(u) = 0. Calculate u.
-1, 0, 1, 4
Let u(w) be the second derivative of -17*w**5/180 - w**4/4 - w**3/18 + 22*w**2 - 39*w - 2. Let s(d) be the first derivative of u(d). Solve s(f) = 0.
-1, -1/17
Suppose 1627*s**3 + 2*s**4 + 1375*s**3 - 2794*s**3 + 408*s**2 = 0. What is s?
-102, -2, 0
Let b(l) be the third derivative of l**8/2240 - l**7/140 + 3*l**6/80 - l**5/10 + 3*l**4 + 48*l**2 + l. Let q(f) be the secon