 - 10*j + 24 = 0. Let a be j/20 + (0 - 17/(-5)). Factor -86*m**2 - a*m - m**3 - 2*m**3 + 80*m**2 + 12*m.
-3*m*(m - 1)*(m + 3)
Let m(n) be the second derivative of -3/4*n**3 + 0*n**2 - 9/20*n**5 - n**4 + 0*n**6 - 19*n + 1/28*n**7 + 2. Factor m(o).
3*o*(o - 3)*(o + 1)**3/2
Let u(c) = 32*c + 219. Let t be u(-7). Let r be ((-3)/t)/((-7)/((-210)/81)). Suppose 2/3*b**2 - 8/9 + 0*b - r*b**3 = 0. Calculate b.
-1, 2
Factor -9*i**4 - 66*i + 68*i + 4*i**2 + 8*i**4 - 2*i**3 - 3*i**2.
-i*(i - 1)*(i + 1)*(i + 2)
Determine l, given that 116*l - 26*l**2 + 12*l**2 + 296 - 416*l + 18*l**2 = 0.
1, 74
Suppose 974 + 720 = 7*u. Let q = 245 - u. Solve -2*r - 18/5*r**q + 4/5 - 32/5*r**2 = 0 for r.
-1, 2/9
Solve 216/7*y**2 + 0 - 24/7*y**4 + 4/7*y**5 - 36/7*y**3 + 0*y = 0 for y.
-3, 0, 3, 6
Let x(l) be the third derivative of 1/42*l**7 - 206*l**2 + 0*l + 0*l**3 + 1/12*l**5 + 0 + 5/4*l**4 - 1/6*l**6. Solve x(o) = 0.
-1, 0, 2, 3
Suppose -r + 2 + 2 = z, -3*r + 4*z = 2. Factor 4*w**3 - 12*w**4 + 5*w**2 - 8*w + 4*w**2 - 26*w**5 + 3*w**r + 30*w**5.
4*w*(w - 2)*(w - 1)**2*(w + 1)
Let v(t) = -42*t - 77. Let s be v(-9). Factor 89 + 0*y**2 - y**2 - 149 - s - 38*y.
-(y + 19)**2
Let t(h) be the first derivative of -15*h**2 - 5/2*h**6 + 5*h**5 - 5/3*h**3 - 94 + 65/4*h**4 + 0*h. Find g, given that t(g) = 0.
-1, 0, 2/3, 3
Let p(i) = -3793*i - 11377. Let o be p(-3). Find r such that -4/13*r**o - 2/13*r**3 + 4/13 + 2/13*r = 0.
-2, -1, 1
Determine r so that 0*r**2 + r**2 + 5*r**2 - 3*r**2 - 50*r - r**2 = 0.
0, 25
Let g = 43 - 40. Suppose 2 = -g*v + 8. Find w, given that -28*w**2 - 10 + 9*w + 33*w**v - 4*w = 0.
-2, 1
Factor 228484 - 228962*z + 1913/4*z**2 - 1/4*z**3.
-(z - 956)**2*(z - 1)/4
Let 29*u - 11/2*u**2 - 6 - 9/4*u**4 - 61/4*u**3 = 0. What is u?
-6, -2, 2/9, 1
Let s(k) = 3*k**3 - 5*k**2 - k + 2. Let x(p) = -p**3 + 2*p**2 + p. Let g(o) = -s(o) - 4*x(o). Let r be g(4). Factor -1/3 + 8*a - 48*a**r.
-(12*a - 1)**2/3
Let d(x) be the first derivative of 5*x**3 + 3295*x**2/2 - 7770*x + 8245. Find v such that d(v) = 0.
-222, 7/3
Let f(q) be the third derivative of q**8/840 - q**6/50 + 4*q**5/75 - q**4/20 - 1009*q**2. Solve f(g) = 0.
-3, 0, 1
Let f(q) = q**3 - 8*q**2 + q - 75. Let a be f(9). Suppose -a*b = 14*b + 6*b. Factor -2/3*g**5 + 0*g**3 + 2/3*g**4 + 0 + 0*g**2 + b*g.
-2*g**4*(g - 1)/3
Let v = 88/3 - 29. Let h = -674035 - -674035. Factor l**3 - l + h - 1/3*l**4 + v*l**2.
-l*(l - 3)*(l - 1)*(l + 1)/3
Let j = 101496 + -304486/3. Suppose -2/21*d**3 + 4/7 + j*d + 0*d**2 = 0. Calculate d.
-2, -1, 3
Find b such that -36/5*b**3 - 300*b + 328/3*b**2 + 2/15*b**4 - 1250/3 = 0.
-1, 5, 25
Let v = 18422/1295 - 520/37. Let k(f) be the first derivative of -4/7*f**3 - 15/28*f**4 + 0*f + v*f**5 + 1 + 9/14*f**2. Suppose k(c) = 0. What is c?
-1, 0, 1/2, 3
Let h(c) be the second derivative of -c**5/100 - c**4/4 + 86*c**3/15 - 138*c**2/5 + 3176*c. Factor h(x).
-(x - 6)*(x - 2)*(x + 23)/5
Let l = -312/1351 + -702923/74305. Let u = -100/11 - l. Suppose 0 + 18/5*s + u*s**3 + 3*s**2 = 0. What is s?
-3, -2, 0
Let q(v) be the first derivative of 1/2*v**2 + 1/8*v**4 - 1/2*v**3 + 39 + 0*v. Factor q(i).
i*(i - 2)*(i - 1)/2
Factor 0 - 5/4*j**2 - 545/2*j.
-5*j*(j + 218)/4
Let h(j) be the second derivative of -j**4 + 0 + 51/40*j**5 + 1/28*j**7 + 0*j**3 + 0*j**2 - 1/2*j**6 + 74*j. Solve h(u) = 0.
0, 1, 8
Let h be -2 + -13*95/(-247). Let f(q) be the first derivative of 24 - 13/14*q**2 - 11/21*q**h - 3/28*q**4 - 5/7*q. Suppose f(s) = 0. What is s?
-5/3, -1
Let v = 752660/1756223 - -1/250889. Determine n so that 2/7*n**3 + 9/7*n**2 + v + 10/7*n = 0.
-3, -1, -1/2
Let v(f) = f**2 - 3*f - 157. Let m be v(-21). Let r = m - 1040/3. What is i in 1/3*i**4 + r*i + 0 - 1/3*i**2 - 1/3*i**3 = 0?
-1, 0, 1
Let v(h) be the first derivative of h**4/2 - 16*h**3 + 63*h**2 + 6435. Find l such that v(l) = 0.
0, 3, 21
Let d be (-33250)/(-8400) + 2/48. Find o such that 23/4*o**2 + 1/2 + 15/4*o - 6*o**3 - 4*o**d = 0.
-2, -1/4, 1
Let b(y) be the first derivative of y**3 + 50 + 18*y - 21/2*y**2. Suppose b(h) = 0. Calculate h.
1, 6
Factor -51*w**3 + 71*w + 7*w + 27*w + 51*w**2 - 3*w**2 + 6.
-3*(w - 2)*(w + 1)*(17*w + 1)
Let f be (-78)/30*(-5)/(-2 + 3). Let l be ((-3315)/(-21))/f - 11. Factor -l + 26/7*s + 2*s**3 - 2/7*s**4 - 30/7*s**2.
-2*(s - 4)*(s - 1)**3/7
Let r = -359/4 + 1801/20. Let a(f) be the first derivative of -3/2*f - 3/4*f**4 + 1/4*f**6 - 15 + 3/4*f**2 + f**3 - r*f**5. Let a(m) = 0. Calculate m.
-1, 1
Let k = 8 - 2. Solve k*u**5 - 216*u**3 - 64*u - 340*u**3 - 36*u**5 - 360*u**2 - 288*u**4 + 2*u**5 = 0.
-8, -1, -2/7, 0
Let y = 45 - 55. Let o = y - -18. Let z(i) = -75*i**2 - 180*i - 60. Let n(u) = -25*u**2 - 60*u - 20. Let t(p) = o*n(p) - 3*z(p). Factor t(a).
5*(a + 2)*(5*a + 2)
Let f be (7 + -4)*(-16)/(-6). Suppose 6*c - 3*c - 5*t = 100, -f = -2*t. Suppose c - 120 + 67*o + 7*o**2 - 27*o - 12*o**2 = 0. Calculate o.
4
Let c(j) = -14*j - 13*j - 113 - 503 - 17*j. Let s be c(-14). Factor s + 1/6*r**3 + 0*r + 1/3*r**2.
r**2*(r + 2)/6
Let f(v) be the first derivative of -3*v**5/5 + 57*v**4/4 + 89*v**3 + 207*v**2/2 + 1516. Factor f(m).
-3*m*(m - 23)*(m + 1)*(m + 3)
Let m(w) be the second derivative of -w**5/110 - 235*w**4/66 + 2238*w. Factor m(o).
-2*o**2*(o + 235)/11
Factor 180*o + 1431*o**2 + 54 - 1392*o**2 + 65*o + 112*o.
3*(o + 9)*(13*o + 2)
Suppose 3*h + 4*r - 3*r - 6 = 0, 2*h - 3*r = 15. Factor -48*x**4 + 42*x**3 + 6*x**5 + 21*x + 47*x**3 + 6*x**5 - 57*x**2 - 3 - 14*x**h.
3*(x - 1)**3*(2*x - 1)**2
Let r(c) = c**3 + 22*c**2 + 41*c + 47. Let j be r(-20). Factor -19*p**4 + 8*p**2 + 37*p**4 + 0*p**2 - j*p**3 + 5*p**3 - 4*p**2.
2*p**2*(p - 1)*(9*p - 2)
Let f(u) be the second derivative of -4*u**6/15 - 27*u**5/10 + 79*u**4/6 - 6*u**3 - 3*u - 330. Determine v so that f(v) = 0.
-9, 0, 1/4, 2
Let z = 61901 - 61896. Suppose -3/2*x**z + 0 + 12*x - 15/2*x**4 - 9*x**3 + 6*x**2 = 0. Calculate x.
-2, 0, 1
Factor 5395779*m + 4*m**2 - 4768 - 3892 - 5387123*m.
4*(m - 1)*(m + 2165)
Let k(g) be the first derivative of 0*g + 1/6*g**4 - 1/2*g**2 - 1/30*g**5 + 120 - 1/18*g**3. Factor k(o).
-o*(o - 3)*(o - 2)*(o + 1)/6
Let z(h) be the second derivative of -h**6/40 - 33*h**5/40 - 19*h**4/4 - 9*h**3 + 4*h + 95. Solve z(j) = 0.
-18, -2, 0
Let 354*q**3 - 2388*q**2 + 50*q**4 - 103*q**5 - 733 + 193 + 358*q**4 + 2187*q + 32*q**5 + 50*q**5 = 0. What is q?
-3, 3/7, 1, 20
Factor 161*t**5 - 62328*t**4 - 2303*t**2 + 180*t + 1468*t**5 - 1481*t**2 + 26544*t**3 - 257*t**5.
4*t*(t - 45)*(7*t - 1)**3
Let o be (-23235)/35 - 0 - 0. Let w = -663 - o. Suppose -2/7*p**2 - w - 8/7*p = 0. Calculate p.
-3, -1
Let k(v) = -v**3 - 271*v**2 - 1417*v - 42. Let i(x) = 4*x**3 + 1356*x**2 + 7086*x + 196. Let n(j) = 6*i(j) + 28*k(j). Solve n(g) = 0 for g.
-5, 0, 142
Factor -5817*s**2 + 9*s + 5819*s**2 - 105*s.
2*s*(s - 48)
Let f(p) be the third derivative of p**6/540 + 7*p**5/135 + 7*p**4/36 - 4*p**3/3 - 965*p**2. Factor f(u).
2*(u - 1)*(u + 3)*(u + 12)/9
Let x(n) be the first derivative of -n**5/330 - 2*n**4/33 - 4*n**3/11 - 43*n**2/2 - 31. Let h(g) be the second derivative of x(g). Determine a so that h(a) = 0.
-6, -2
Let s(o) be the first derivative of -o**6/14 + 577*o**5/35 - 27259*o**4/28 - 46657*o**3/21 - 9409*o**2/7 + 1908. Find c, given that s(c) = 0.
-1, -2/3, 0, 97
Let i = -1041818/45 - -115772/5. Suppose -22/9*q - 8/3 + 22/9*q**3 + i*q**2 - 2/9*q**4 = 0. What is q?
-1, 1, 12
Let c be (-46)/(-6) + (-414)/621. Let y(b) be the second derivative of 1/8*b**3 + 3/8*b**2 - 1/16*b**4 - 3/80*b**5 + 0 + c*b. Factor y(l).
-3*(l - 1)*(l + 1)**2/4
Let r(x) be the second derivative of -x**7/2 - 36*x**6/5 + 507*x**5/20 + 153*x**4/2 + 36*x**3 - 7*x + 135. Find h such that r(h) = 0.
-12, -1, -2/7, 0, 3
Let h = 4008 - 4008. Let s(o) be the third derivative of 1/120*o**4 + h*o - 1/300*o**6 + 0*o**5 + 0 + 0*o**7 + 1/1680*o**8 - 17*o**2 + 0*o**3. Factor s(l).
l*(l - 1)**2*(l + 1)**2/5
Let o = -417079/9 - -46343. Factor 2/9*j**3 + 0 + o*j - 10/9*j**2.
2*j*(j - 4)*(j - 1)/9
Suppose 16 = -0*q + 2*q + 2*q. Let -2/9*c**4 - 34/9*c**2 - 38/9*c + 38/9*c**3 + q = 0. Calculate c.
-1, 1, 18
Find q, given that 2/5*q**4 + 0*q - 2/5*q**2 + 1/5*q**3 - 1/5*q**5 + 0 = 0.
-1, 0, 1, 2
Let z be (-19 - (-2632)/98) + -1. Factor -4/7*k**2 - 4/7*k + z.
-4*(k - 3)*(k + 4)/7
Let c(z) be the second derivative of 89*z - 1/3