4*(-4 + 5))/(16/(-104)). Factor 4*t**n + 2/7*t**3 + 50/7*t + 24/7.
2*(t + 1)**2*(t + 12)/7
Let h(t) be the first derivative of 3*t**5/20 + 1251*t**4/16 + 831*t**3/4 + 1245*t**2/8 + 14988. Factor h(n).
3*n*(n + 1)**2*(n + 415)/4
Let r(n) = -19*n + 132. Let j(i) = -20*i + 135. Let y(w) = -7*j(w) + 6*r(w). Let p be y(6). Factor 12/5*u - 1/5*u**4 + 0 + 7/5*u**p - 16/5*u**2.
-u*(u - 3)*(u - 2)**2/5
Let a(x) = 4*x + 62. Let j be a(-15). Suppose 0 = -4*l + 16. Let 30*w**5 + 85*w**3 + 90*w**j + 56*w**4 + 59*w**l + 10*w + 75*w**3 - 5 = 0. Calculate w.
-1, 1/6
Let c(x) be the first derivative of 166 - 10*x - 4*x**2 + 2/3*x**3. Let c(i) = 0. What is i?
-1, 5
Let r be (-6)/2 + -52 + 48. Let t be (712/(-36) - (-2)/(-9))/r. Factor -4/7*b**2 + t*b - 24/7.
-4*(b - 3)*(b - 2)/7
Let d be (1500/9 - 4) + (-5996)/(-1499). Determine x, given that 1150/9*x + d + 110/3*x**2 + 2/9*x**4 + 14/3*x**3 = 0.
-6, -5
Let z(f) = -13*f - 35. Let y be z(-3). Suppose 0 = 3*q - 2*b - 68, 7*q - 4*b - 64 = y*q. Suppose q*l**2 + 23*l - 3*l**3 + 30 + 52*l - 18*l = 0. Calculate l.
-1, 10
Let u = 209 + -207. What is n in -88 - 262*n**u - 256*n + 15*n**4 - 193*n**3 + 87*n**3 - 25*n**4 + 2*n**5 = 0?
-2, -1, 11
Let t be (995/(-1380) + 22/(-759))/(27/(-6)). Find b, given that t*b**4 + 0 - 1/6*b**2 + b - b**3 = 0.
-1, 0, 1, 6
Let m = -3685/14 - -1053/4. Let g(a) be the second derivative of 0 + m*a**4 + 28*a + 0*a**2 + 0*a**3 + 3/28*a**5. Let g(r) = 0. Calculate r.
-1/5, 0
Let i(w) = w**3 - 9*w**2 + 14*w + 10. Let s be i(7). Let l be s/5 + -1 + 2. Factor 7*r**3 - 3*r**3 + 36*r - r**l + 18*r**2 + 24.
3*(r + 2)**3
Suppose 5*n = 22*d - 26*d + 21, -5*n = 2*d - 13. Factor 13*f**4 - d - 12*f - 8*f**4 + 4*f + 7*f**3 + 4*f**5 - 3*f**5 - f**2.
(f - 1)*(f + 1)**2*(f + 2)**2
Let u(w) be the third derivative of -w**6/30 + 31*w**5/15 - 40*w**4/3 - 224*w**3/3 + w**2 - 1101. Factor u(r).
-4*(r - 28)*(r - 4)*(r + 1)
Let q be (3/(-4))/3*0/262. Factor 0 + q*k**4 + 1/6*k**5 - 7/6*k**3 + k**2 + 0*k.
k**2*(k - 2)*(k - 1)*(k + 3)/6
Let s = -236736 - -236738. Suppose 1/7*k**3 + 0 + 0*k + 31/7*k**s = 0. Calculate k.
-31, 0
Let p = 789345 + -2368030/3. Solve -p*j**4 + 5/6*j + 5/3*j**2 + 0 - 5/6*j**3 = 0 for j.
-1, -1/2, 0, 1
Let o(a) be the second derivative of 2*a**7/7 - 58*a**6/15 - a**5/5 + 55*a**4 + 36*a**3 - 184*a + 4. Suppose o(k) = 0. Calculate k.
-2, -1/3, 0, 3, 9
Let g be (-12)/105 + 538/1345. Factor g*l**3 + 22/7*l - 12/7*l**2 - 12/7.
2*(l - 3)*(l - 2)*(l - 1)/7
Suppose -3*l = -q - 25, -43*q + 5*l - 27 = -34*q. Let -8*z + 23/3*z**q - 48 - 1/3*z**4 + 2/3*z**3 = 0. Calculate z.
-3, 4
Factor -4775*r**2 - 3*r**3 + 4682*r**2 + 30*r + 66*r.
-3*r*(r - 1)*(r + 32)
Factor 10*z - 5/4 - 15*z**2.
-5*(2*z - 1)*(6*z - 1)/4
Let t(k) be the first derivative of -39*k**4/10 + 248*k**3/15 + 124*k**2/5 + 32*k/5 - 10125. Let t(i) = 0. What is i?
-2/3, -2/13, 4
Factor 3/4*g**2 - 1101/4*g - 276.
3*(g - 368)*(g + 1)/4
Let q(z) be the second derivative of z**4/24 + 257*z**3/12 - 259*z**2/2 - 4557*z - 1. Let q(s) = 0. Calculate s.
-259, 2
Let t be -14*(-10)/35*1. Suppose -81*w - 81 + 27*w**t + 3*w**5 + 46*w**2 + 149*w**3 - 71*w**3 + 8*w**2 = 0. Calculate w.
-3, -1, 1
Let y(j) be the first derivative of 4*j**5/5 + 41*j**4 - 200*j**3/3 - 648*j**2 + 2016*j + 1815. Determine q, given that y(q) = 0.
-42, -3, 2
Let c be 0*(29/(-58) + 0). Factor -1/3 + 1/6*s**3 - 1/2*s + c*s**2.
(s - 2)*(s + 1)**2/6
Factor 1387543*f**2 + 14481*f - 1387069*f**2 - 38400 + 3*f**3 + 3759*f.
3*(f - 2)*(f + 80)**2
Factor j**4 - 20*j**2 - 11*j**3 + 24*j - 16*j**3 - 9*j**2 + 13*j - 10*j + 28.
(j - 28)*(j - 1)*(j + 1)**2
Let v be (-3)/(-3) + 10160/(-508) + 23. Let r be 2/(-9) + (-50)/(-9). Determine q, given that v*q**4 + r*q**3 - 8/3*q + 0 - 4/3*q**2 = 0.
-1, 0, 2/3
Suppose 19*w - 46*w - 2421 = -2448. Find t, given that -w - 1/2*t + 1/2*t**2 = 0.
-1, 2
Factor 98596 + 1257/4*q**2 - 1/4*q**3 - 98910*q.
-(q - 628)**2*(q - 1)/4
Let h(n) be the second derivative of 1/33*n**4 + 16 + 0*n**3 - 21/110*n**5 + 0*n**2 - 16/55*n**6 + n - 25/231*n**7. Suppose h(s) = 0. What is s?
-1, 0, 2/25
Let q(c) be the third derivative of c**7/35 + 7*c**6/90 + c**5/30 + 61*c**3/6 - 43*c**2. Let j(m) be the first derivative of q(m). Find v such that j(v) = 0.
-1, -1/6, 0
Factor -568*r + 282296 + 2/7*r**2.
2*(r - 994)**2/7
Let b(m) be the first derivative of -324*m**5/5 - 113040*m**4 - 157653088*m**3/3 + 35067520*m**2 - 7795264*m + 3792. Factor b(q).
-4*(q + 698)**2*(9*q - 2)**2
Let j = -436 + 431. Let y(p) = -6*p**2 - 21*p - 72. Let c(l) = 3*l**2 + 9*l + 36. Let h(m) = j*y(m) - 9*c(m). Factor h(r).
3*(r + 2)*(r + 6)
Let x be 48/(-432) - (-10)/(-18) - (-1 - 8/3). Factor 0*u + 0*u**x + 0 - 2/21*u**2 + 2/21*u**4.
2*u**2*(u - 1)*(u + 1)/21
Let x(f) = -3. Let o(u) = 2*u**2 - 34*u - 54. Suppose -13*p + 44 = 122. Let n(l) = p*x(l) + o(l). Factor n(w).
2*(w - 18)*(w + 1)
Let i = -327 - -347. Find c, given that -13 + 1 - 8*c**2 + 69*c - i*c - 29*c = 0.
1, 3/2
Let y(c) be the second derivative of 0 - 70/3*c**3 - 3/4*c**5 - 8*c**4 - 24*c**2 + 1/15*c**6 - 65*c. Factor y(l).
(l - 12)*(l + 2)**2*(2*l + 1)
Suppose 0 = 27*l - 969 - 3081. Suppose -l*h - 61 - 1219 - 10*h - 5*h**2 = 0. What is h?
-16
Let g be 517/(-99) + (1 - (-21)/(-27)). Let o be ((-2)/g)/(46/(-115)) + 3. Factor 1/4*c**o + 3 + 2*c.
(c + 2)*(c + 6)/4
Let h(p) be the third derivative of p**6/36 + 17*p**5/12 + 1385*p**4/72 + 35*p**3 - 2*p**2 - 72*p. Factor h(i).
5*(i + 7)*(i + 18)*(2*i + 1)/3
Let u(w) be the second derivative of -101*w + 0 - 2/5*w**6 + 4/5*w**5 + 0*w**2 + 1/21*w**7 + w**4 - 3*w**3. Factor u(l).
2*l*(l - 3)**2*(l - 1)*(l + 1)
Let c = 660 + -38. Suppose c*d = 626*d - 8. Determine a so that a**4 - 2/3*a - 4/3*a**d + 2/3*a**3 + 1/3 = 0.
-1, 1/3, 1
Let m be 12/1 - (592/(-111))/(20/(-45)). Let y = 1 - 1. Factor m*c**2 + 0 + 2/5*c**4 + y*c - 4/5*c**3.
2*c**3*(c - 2)/5
Suppose 135*z - 2*h - 44 = 136*z, 5*z - 2*h - 44 = 0. Suppose 0*p + z + 13/10*p**3 + 2*p**4 + 1/5*p**2 + 9/10*p**5 = 0. What is p?
-1, -2/9, 0
Let c(b) be the third derivative of -3/20*b**5 + 1/420*b**7 + 0*b**4 + 0*b - 66*b**2 + 0 + 0*b**3 + 17/240*b**6. Factor c(i).
i**2*(i - 1)*(i + 18)/2
Let b be (-11 - (-12 - 4) - -7) + 356/(-30). Factor 2/15*z**4 + b - 4/15*z**3 + 2/15*z**5 + 2/15*z - 4/15*z**2.
2*(z - 1)**2*(z + 1)**3/15
Let r(s) be the third derivative of s**6/24 + 49*s**5/12 - 445*s**4/3 + 3050*s**3/3 - 658*s**2. Factor r(j).
5*(j - 10)*(j - 2)*(j + 61)
Let g(m) be the second derivative of -m**5/12 + 65*m**4/4 - 2535*m**3/2 + 38*m**2 - 9*m. Let q(j) be the first derivative of g(j). Determine x so that q(x) = 0.
39
Let 748/5*o - 209814/5 - 2/15*o**2 = 0. What is o?
561
Let b(h) = 9*h**3 + 209*h**2 - 401*h - 156. Let m(g) = -18*g**3 - 420*g**2 + 801*g + 312. Let v(k) = -9*b(k) - 5*m(k). Let v(u) = 0. What is u?
-26, -1/3, 2
Let 26/9*n**4 - 10/9*n**5 + 2/9*n**3 + 8/9 - 34/9*n**2 + 8/9*n = 0. Calculate n.
-1, -2/5, 1, 2
Suppose -798 = -2*g + 4*t - 202, 5 = 5*t. Let f be ((-80)/g)/((-8)/12). Determine y so that f*y**3 - 8/5 - 2*y**2 + 16/5*y = 0.
1, 2
Let y(m) = m**3 - m - 1. Let j(w) = 10*w**3 - 8*w**2 + w - 4. Let i(l) = -j(l) - y(l). Let q(s) = 6*s**3 - 3*s**2 - 3. Let a(t) = 3*i(t) + 5*q(t). Factor a(p).
-3*p**2*(p - 3)
Suppose 3*j - 17 = -45*f + 46*f, 2*f = 4*j - 20. Solve -c + c**2 - 7*c + j - 1 + c = 0 for c.
1, 6
Let d(y) be the second derivative of -3/2*y**2 + 1/36*y**4 - 125*y + 4/9*y**3 + 0. Factor d(h).
(h - 1)*(h + 9)/3
Suppose -2*w = 32 - 36. Factor 45 + 125*z**w + 123*z**3 + 210*z - 50*z**3 - 53*z**3.
5*(z + 3)**2*(4*z + 1)
Let n(p) be the first derivative of -p**3/2 - 321*p**2/4 + 666*p - 3975. Factor n(c).
-3*(c - 4)*(c + 111)/2
Let -823*z**3 - 31250 + 54375/2*z + 36*z**4 + 4850*z**2 - 1/2*z**5 = 0. What is z?
-4, 1, 25
Suppose -4*y = -2*y + 70*y. Let w(u) be the second derivative of -2/27*u**3 + y*u**2 + 0 - 1/54*u**4 - 2*u + 1/90*u**5. Solve w(t) = 0 for t.
-1, 0, 2
Let d(b) be the second derivative of 7/3*b**4 - 4*b**3 + 3*b + 3 + 16/7*b**2. Let d(a) = 0. Calculate a.
2/7, 4/7
Let k(h) = -h**3 + 6*h + 4. Let u be k(3). Let y be u + (-12)/(-3) - -2. Suppose 1 - 225*m - y + 231*m - 4*m**2 = 0. What is m?
0, 3/2
Suppose 4*b - 3*p - 2 = 0, 33*b - 31 = 28*b - p. Suppose -5*l - 7 = -82. Determine z, given that l*z**2 + 7 - 1 - 5*z + b*z**4 - 15*z*