-x**6/90 + 29*x**5/60 - 125*x**4/36 - 1241*x**3/18 - 289*x**2 - 2*x + 20. Factor j(y).
-(y - 17)**2*(y + 2)*(y + 3)/3
Determine v so that -3*v**3 + 703 - 375*v**2 + 8*v**3 + 477 - 45*v + 2195 = 0.
-3, 3, 75
Suppose n + 1 = 2*n. Suppose d = 3 - n. Let 26*i**d - 288*i - 21*i**3 + 276*i + 5*i**3 + 2*i**4 = 0. Calculate i.
0, 1, 6
Let w = 147 + -145. Let o(s) be the third derivative of 20/3*s**3 - 5/2*s**4 + 1/2*s**5 + 0*s + 0 - 1/24*s**6 - 2*s**w. Find c, given that o(c) = 0.
2
Let u(l) = -3*l**3 + 2*l**2 + 3*l + 1. Let g(b) = 13 - 7 + b - 7. Let k(m) = -18*g(m) - 2*u(m). Factor k(x).
2*(x - 2)*(x + 2)*(3*x - 2)
Let m(f) be the first derivative of -f**7/210 + f**6/20 - 3*f**5/20 + f**4/6 - 79*f**2 + 326. Let g(d) be the second derivative of m(d). Solve g(y) = 0.
0, 1, 4
Let p be ((-8)/(-1))/(12572/14368). Let 6/7*c**3 - p*c**2 + 20/7 + 38/7*c = 0. What is c?
-1/3, 1, 10
Let y(r) be the third derivative of -7*r**5/60 + 37*r**4/4 + 32*r**3/3 - 9*r**2 - 135. Find j such that y(j) = 0.
-2/7, 32
Suppose 3*y = 313 - 193. Let l = 10 + -6. Find z, given that 38*z**2 - 2*z**3 + 2*z**5 + 4*z**l - 2*z**4 - y*z**2 = 0.
-1, 0, 1
Suppose -2*w + 193*i - 188*i + 4 = 0, 4*w - i = 8. Solve 14/9 - 4/3*o - 2/9*o**w = 0 for o.
-7, 1
Let x(s) be the second derivative of -s**5/100 - 4*s**4/15 - s**3/2 + 14*s - 2. Suppose x(f) = 0. Calculate f.
-15, -1, 0
Let s(v) be the second derivative of 121*v**4/3 + 488*v**3/3 + 8*v**2 - 1399*v. Factor s(b).
4*(b + 2)*(121*b + 2)
Let b be ((-189)/(-30) + -6)/(66/(-12) - -2 - -5). What is v in 8/5*v**3 + 0*v**4 + 0*v**2 - b*v**5 + 0 - 16/5*v = 0?
-2, 0, 2
Let u(z) be the third derivative of -z**5/90 + 5*z**4/36 + 104*z**3/9 - 1706*z**2. Factor u(p).
-2*(p - 13)*(p + 8)/3
Let y(k) be the second derivative of -5*k**7/147 - 23*k**6/105 - k**5/14 + 31*k**4/42 + 10*k**3/21 - 8*k**2/7 - 547*k - 1. Solve y(v) = 0.
-4, -1, 2/5, 1
Let c = -130 - -129. Let z be (1 - c)*(-30)/(-195). Determine n, given that 0 - 6/13*n**4 - z*n**2 + 14/13*n**3 + 0*n = 0.
0, 1/3, 2
Let -1906/3*s - 908209/3 - 1/3*s**2 = 0. What is s?
-953
Let y(t) be the first derivative of 292 + 16/3*t**3 + 48*t + 1/4*t**4 + 26*t**2. Factor y(j).
(j + 2)**2*(j + 12)
Let d(o) be the first derivative of o**6/72 - 5*o**5/24 + 5*o**4/6 - 15*o**3 + 37. Let p(v) be the third derivative of d(v). Solve p(j) = 0.
1, 4
Suppose 23*b - 19*b = p + 6, -5*p + 2 = -4*b. Factor 1/2 + 0*m**b - m + m**3 - 1/2*m**4.
-(m - 1)**3*(m + 1)/2
Let m(y) = 14*y**4 - 26*y**4 + 24*y**4 - 6*y**2 + 9 - 7*y**3 + 9*y. Let d(n) = n**4 + n + 1. Let x(f) = 18*d(f) - 2*m(f). Factor x(a).
-2*a**2*(a - 3)*(3*a + 2)
Let p(i) = -2*i**2 - 29*i - 10. Let f be p(-12). Suppose -5*h + f = 4*m, 5*m - 22 - 3 = 0. Factor h*z**4 + 2*z**4 + 3*z**3 + 7*z**4 + 2*z**3 - 40*z**2 + 20*z.
5*z*(z - 1)*(z + 2)*(3*z - 2)
Let l(j) = -j**3 + 6*j**2 + 14*j - 80. Let k be l(5). Let b be k*(-1)/(-6) + (-1)/2. Factor -3/2*o**b - 9/2 - 15/2*o + 3/2*o**3.
3*(o - 3)*(o + 1)**2/2
Let 107/3*q**3 - 321*q + 936 - 101*q**2 - 1/3*q**4 = 0. What is q?
-3, 3, 104
Let r(a) be the third derivative of 4*a**7/175 + 1207*a**6/300 + 231*a**5/50 - 117*a**4/10 - 40*a**3/3 - 371*a**2. What is w in r(w) = 0?
-100, -1, -1/4, 2/3
Let l = 82 - 80. Suppose -l*q = 3*g - 4*g - 8, -4*g - 5 = q. Factor -29*k**3 + 3*k + 0*k + 26*k**q.
-3*k*(k - 1)*(k + 1)
Suppose 10 = 3*y - 5*d - 2, 0 = -2*y - 2*d + 8. Let b = 11 - 7. What is z in 2*z**b + 270*z**2 - 2*z**3 + z**y + 2*z + 4*z**3 - 277*z**2 = 0?
-2, 0, 1/3, 1
Let d(h) be the first derivative of -1120*h**4 - 80*h - 3320/3*h**3 + 1715/6*h**6 - 36 - 440*h**2 - 49*h**5. Solve d(z) = 0.
-1, -2/7, 2
Suppose 1562*f + 1527*f = 817*f + 4544. Factor 18/17*m + 38/17*m**f + 2/17*m**4 + 0 + 22/17*m**3.
2*m*(m + 1)**2*(m + 9)/17
Suppose 0 = -270*g + 91*g + 1611. Let v(f) be the first derivative of 4/5*f**5 + 2*f**4 - 20*f - 16*f**3 - g + 28*f**2. Suppose v(k) = 0. What is k?
-5, 1
Factor 7/2*v**2 - 91/2 - 85/2*v + 1/2*v**3.
(v - 7)*(v + 1)*(v + 13)/2
Let c(n) be the second derivative of -n**5/5 + 136*n**4/3 + 1114*n**3/3 + 840*n**2 - 3920*n. Factor c(s).
-4*(s - 140)*(s + 1)*(s + 3)
What is d in 13*d**4 + 9*d**4 - 2837 + 893 - 8*d**4 - 10*d**4 - 236*d**3 + 1092*d**2 - 612*d = 0?
-1, 3, 54
Let b(m) be the third derivative of -m**5/30 + m**4/12 + 110*m**3/3 - 1109*m**2. Factor b(h).
-2*(h - 11)*(h + 10)
Let a(x) be the third derivative of 2*x**7/525 - 3*x**6/25 - 88*x**5/75 + 2*x**2 - 133*x. Factor a(r).
4*r**2*(r - 22)*(r + 4)/5
Let j(h) = -14*h**2 + 287*h + 291. Let q(l) = -12*l**2 + 284*l + 288. Let x(g) = 4*j(g) - 5*q(g). Factor x(m).
4*(m - 69)*(m + 1)
Let d be 69 + -1 + (-1 - -1). Let p = 72 - d. Factor -5*i**5 + 4*i**3 + 0*i**4 + 4*i**2 + i**5 - 4*i**p.
-4*i**2*(i - 1)*(i + 1)**2
Let v(x) be the third derivative of x**7/70 + 41*x**6/8 + 10401*x**5/20 - 11021*x**4/8 - 10609*x**3 + 7*x**2 + 1. Factor v(r).
3*(r - 2)*(r + 1)*(r + 103)**2
Let d be 6*-70*(-16)/2880. Let b(g) be the first derivative of -98/9*g**3 + 0*g**2 + 40 - 2/15*g**5 + 0*g + d*g**4. Solve b(q) = 0.
0, 7
Let x = -25 + -383. Let h = 410 + x. Factor -1/5*c**h - 9/5 - 6/5*c.
-(c + 3)**2/5
Let t(j) be the first derivative of j**6/240 - 7*j**4/96 + j**3/8 - 280*j - 261. Let r(i) be the first derivative of t(i). Factor r(a).
a*(a - 2)*(a - 1)*(a + 3)/8
Let j(m) be the third derivative of m**5/660 + 21*m**4/11 + 10584*m**3/11 + 496*m**2 - m. Factor j(f).
(f + 252)**2/11
Let f = 39/97 + -919/3492. Let n(u) be the second derivative of 0*u**2 + f*u**4 + 10*u + 0 - 5/18*u**3. Factor n(z).
5*z*(z - 1)/3
Determine y so that 2/5*y**2 - 256/5*y - 266 = 0.
-5, 133
Factor 5/3*l**3 - 20/3*l**2 - 15/2 - 15*l + 5/6*l**4.
5*(l - 3)*(l + 1)**2*(l + 3)/6
Let a(k) be the third derivative of -k**6/240 + k**5/15 - 5*k**4/48 - 7*k**3/6 + 3937*k**2. Factor a(j).
-(j - 7)*(j - 2)*(j + 1)/2
Let j(l) be the first derivative of l**7/630 + l**6/36 + 4*l**5/45 + 5*l**2 + 108. Let p(g) be the second derivative of j(g). Solve p(x) = 0 for x.
-8, -2, 0
Let u = -379 + 423. What is z in 2*z**5 - 324*z + 108 - 1736*z**3 + u*z**4 - 6*z**5 + 360*z**2 + 1552*z**3 = 0?
1, 3
Find f, given that 696/7*f**3 - 260/7*f**4 + 1488/7*f - 144/7 + 4940/7*f**2 = 0.
-3, -2/5, 1/13, 6
Let n(t) be the third derivative of t**5/12 + 925*t**4/12 - 5024*t**2. Factor n(j).
5*j*(j + 370)
Find b, given that 88*b**2 - 128/3 - 96*b - 70/3*b**3 + 2*b**4 = 0.
-1/3, 4
Let w = 281701/60 + -4695. Let r(q) be the third derivative of w*q**6 + 16/3*q**3 - 10*q**2 + 2*q**4 + 0*q + 3/10*q**5 + 0. Factor r(m).
2*(m + 1)*(m + 4)**2
Let g(t) be the third derivative of t**5/45 + 8*t**4/3 + 184*t**3/9 - 57*t**2 + 7. Determine n, given that g(n) = 0.
-46, -2
Factor -3/7*s - 1/7*s**5 - 2/7*s**2 + 0*s**4 + 2/7 + 4/7*s**3.
-(s - 1)**3*(s + 1)*(s + 2)/7
Suppose -2*p = 2*f - 44 - 28, -5*p = -5*f + 190. Suppose 2*n + 5*k - 24 = 0, -34*n + 14 = -f*n + 5*k. Factor 2/3*t**5 + 0 + 0*t + n*t**3 + 0*t**2 - 8/3*t**4.
2*t**3*(t - 3)*(t - 1)/3
Let q(l) be the second derivative of -l**7/23940 - l**6/2280 - 143*l**4/12 - 299*l. Let d(r) be the third derivative of q(r). Suppose d(f) = 0. Calculate f.
-3, 0
Let h(n) = -13*n**3 + 986*n**2 + 27*n - 958. Let j(v) = -6*v**3 + 492*v**2 + 12*v - 480. Let l(u) = -3*h(u) + 7*j(u). Solve l(m) = 0.
-1, 1, 162
Let m(t) be the third derivative of t**8/168 - 2*t**7/7 + 47*t**6/15 - 44*t**5/5 - 5252*t**2 + 2*t + 1. Solve m(j) = 0 for j.
0, 2, 6, 22
Suppose 5*n = 4*i + 1024 - 981, n - 5 = 2*i. Suppose 2 + 21/4*w**5 - 19/4*w**i - 93/4*w**2 + 85/4*w**4 - 1/2*w = 0. Calculate w.
-4, -1, -1/3, 2/7, 1
Let q(a) be the second derivative of 0 - 48*a - 1/3*a**3 - 1/12*a**4 + 15/2*a**2. Factor q(y).
-(y - 3)*(y + 5)
Let -38*m**2 + 105*m**2 - 28*m**2 + 10*m - 30*m + 24 - 35*m**2 = 0. What is m?
2, 3
Let y(x) = 2*x**2 - x + 8. Let p(q) = -q**3 + 9*q**2 + 19*q + 4. Let n(m) = -4*p(m) + 20*y(m). Find t such that n(t) = 0.
-6, 2, 3
Let c = -35 + 35. Suppose c = 4*f - 3*v - 10, 5*v + 0*v = 5*f - 10. Factor -2*y + 4*y**4 + 2*y**5 - 4*y**2 + 3*y**4 + y**4 - f*y**4.
2*y*(y - 1)*(y + 1)**3
Let t(q) = 79*q**2 - q - 6. Let n be t(-2). Let v = n + -2180/7. Factor 0*g + v*g**2 - 4/7.
4*(g - 1)*(g + 1)/7
Let z(h) = 148*h - 577. Let g be z(4). Let o(y) be the first derivative of 1/2*y**2 + 0*y + g - 1/4*y**4 + 0*y**3. Factor o(m).
-m*(m - 1)*(m + 1)
Let o