*r**2 - 20.
-5*(r - 2)**2*(r + 1)
Suppose -36*c + 154 = -26. Let g(d) be the second derivative of 0*d**3 + 0*d**2 - 3/28*d**4 + 0 + 3/140*d**c - 13*d. Factor g(p).
3*p**2*(p - 3)/7
Let l = 29909/17955 - -16/17955. Factor 640/3*p**2 + 160/3*p**3 + 0*p + 0 + l*p**5 - 70/3*p**4.
5*p**2*(p - 8)**2*(p + 2)/3
Let l(x) be the first derivative of 5*x**4/3 + 95*x**3/6 + 30*x**2 + 58*x - 201. Let o(p) be the first derivative of l(p). Suppose o(s) = 0. Calculate s.
-4, -3/4
Let s(a) be the third derivative of a**6/780 + 17*a**5/195 - a**4/156 - 34*a**3/39 - a**2 + 2844*a. Let s(l) = 0. What is l?
-34, -1, 1
Let m = 7260683/9 - 806719. Find n, given that -2/3*n**3 - 70/9*n + 0 - m*n**2 = 0.
-35, -1/3, 0
Let j(v) be the third derivative of -v**7/420 - v**6/60 - v**5/30 - 41*v**3/3 + v**2 - 2*v. Let g(z) be the first derivative of j(z). Find a such that g(a) = 0.
-2, -1, 0
Let v(i) be the first derivative of 82 - 196/5*i**5 + 120*i**2 + 488/3*i**3 + 21*i**4 + 32*i. Let v(f) = 0. Calculate f.
-1, -2/7, 2
Suppose -13 = 5*i + 5*w + 42, -5*i + 5*w = 5. Let m be (i/(-14))/((-6)/(-42)). Factor -6 - 35*o - 25*o**2 + 0 - 1 - 8 - 5*o**m.
-5*(o + 1)**2*(o + 3)
Let l = -75 + 77. Factor -j**3 - l*j - 7*j + j**2 + 11*j.
-j*(j - 2)*(j + 1)
Let l = 3154745/4206316 + -2/1051579. Find s, given that l*s**5 + 315/2*s**3 + 5625/4 + 1425/2*s**2 + 6375/4*s + 69/4*s**4 = 0.
-5, -3
Let r(f) be the first derivative of -2*f**3/3 - 27*f**2 + 243*f - 216. Let k(x) = -x**2 + x**2 + x**2. Let w(d) = 5*k(d) + r(d). What is z in w(z) = 0?
9
Suppose -28*q = 187 - 663. Suppose q*y + y = 54. Factor -16/5*c + 0 - 52/5*c**y - 4/5*c**5 - 48/5*c**2 - 24/5*c**4.
-4*c*(c + 1)**2*(c + 2)**2/5
Let z(b) = 9*b**2 - 106*b + 180. Let y(w) = 80*w**2 - 955*w + 1625. Let p(d) = -22*d - 70. Let l be p(-3). Let i(q) = l*y(q) + 35*z(q). Factor i(c).
-5*(c - 20)*(c - 2)
Let g(y) be the second derivative of -5/6*y**6 - 11*y - 5/2*y**2 - 1/2*y**5 + 5/2*y**4 - 5/6*y**3 + 5/14*y**7 - 3. Factor g(w).
5*(w - 1)**3*(w + 1)*(3*w + 1)
Suppose 3*z - 18 = 2*r, r + 10 = 3*z + 1. Let n(s) be the first derivative of 0*s**2 - 2*s**6 - 4 + 9/7*s**4 + 4/21*s**3 + z*s + 44/35*s**5. Solve n(i) = 0.
-1/3, -1/7, 0, 1
Factor -4/17 - 42/17*b**3 - 2*b + 80/17*b**2.
-2*(b - 1)**2*(21*b + 2)/17
Let n be (-271)/122 - (380/(-8))/19. Let l = 64/427 + n. Factor 0 - 3/7*v**2 - l*v.
-3*v*(v + 1)/7
Let l(f) = -f**3 + 2*f - 1. Let d(o) = 15*o**2 + 40*o + 5. Let t(c) = -31*c + 123. Let n be t(4). Let a(m) = n*d(m) - 5*l(m). Find r such that a(r) = 0.
-2, 0, 5
Let b(l) be the first derivative of l**6/27 - 4*l**5/15 + 4*l**4/9 + 1367. Factor b(f).
2*f**3*(f - 4)*(f - 2)/9
Let j(g) be the second derivative of -2*g**7/21 - 14*g**6/15 - 11*g**5/5 - 5*g**4/3 - 1342*g. Factor j(u).
-4*u**2*(u + 1)**2*(u + 5)
Let j(h) be the second derivative of h**4/16 + 5*h**3/8 + 3*h**2/2 + 3*h - 231. Solve j(k) = 0.
-4, -1
Let q = -1235 - -2649. Factor -1424*f + q*f + 15*f**4 + 1 + 10*f**3 - 15*f**2 - 1.
5*f*(f - 1)*(f + 1)*(3*f + 2)
Let i = 5118 + -3600. Let x = -1516 + i. Factor -2/7*t**3 - 6/7*t + 6/7*t**x + 2/7.
-2*(t - 1)**3/7
Let u(b) be the second derivative of b**4/12 + b**3 + 4*b**2 - 21*b. Let d be u(-5). Determine n, given that 4*n**3 + 2*n**5 - 5*n**5 + 2*n**3 + 0*n - d*n = 0.
-1, 0, 1
Let s(z) be the first derivative of 4*z**5/5 + 74*z**4 - 604*z**3/3 + 152*z**2 - 1198. Factor s(v).
4*v*(v - 1)**2*(v + 76)
Let w(l) be the first derivative of l**6/39 - 336*l**5/65 - l**4/13 + 224*l**3/13 + l**2/13 - 336*l/13 - 8385. Find k such that w(k) = 0.
-1, 1, 168
Suppose r - 6 = -0. Suppose -5*z + 0*q = -4*q - 10, q = -3*z + r. Solve 4*h**2 + 4 + 3*h - 6*h**z - 5*h**2 = 0 for h.
-4/7, 1
Let s(l) be the second derivative of -l**6/45 + 53*l**5/90 - 25*l**4/6 - 3*l**3 + 15*l - 23. Determine x so that s(x) = 0.
-1/3, 0, 9
Factor 2/7*d**2 + 376/7*d - 54.
2*(d - 1)*(d + 189)/7
Let b(m) be the third derivative of m**5/210 - 4*m**4/7 + 92*m**3/21 - 32*m**2 + 30. Suppose b(g) = 0. What is g?
2, 46
Suppose -854*g + 2129 = -2028 + 1595. What is x in 22/7*x**4 + 0*x + 0 - 22/7*x**2 + 2/7*x**g - 2/7*x**5 = 0?
-1, 0, 1, 11
Let u = 632 + -14. Factor 4*q + q**4 + q**2 + u*q**3 - 4*q - 616*q**3.
q**2*(q + 1)**2
Let z(h) = 15*h**2 - 35*h - 35. Let s(i) = -9*i + 7*i**2 - 12*i - 18 + 4*i. Let a(c) = -764*c - 6114. Let q be a(-8). Let l(j) = q*z(j) + 5*s(j). Factor l(v).
5*(v - 4)*(v + 1)
Suppose -5*h + 12 + 48 = 0. Suppose 29*m - 25*m = h. Factor -9*b**2 - 21*b - 4*b**m - 15*b - 4*b**2 - 11*b**2.
-4*b*(b + 3)**2
Let a = 24511 + -122553/5. Factor -1/5*c**5 - a*c**4 - 4/5*c + 0 + 4/5*c**2 + 3/5*c**3.
-c*(c - 1)**2*(c + 2)**2/5
Let p be (408/27 - 5/45)*1/3. Let l(n) be the second derivative of 27*n - 3*n**p + 0 - 15/4*n**4 - 5/3*n**3 - 5/6*n**6 + 0*n**2. Factor l(u).
-5*u*(u + 1)**2*(5*u + 2)
Let p(l) be the first derivative of 1/3*l**3 + 1/4*l**4 + 98 - 4*l - 2*l**2. Factor p(q).
(q - 2)*(q + 1)*(q + 2)
Let b(m) = 55*m**3 - 84*m**2 - 183*m + 344. Let n(i) = i**3 + 2*i + 1. Let l(a) = -b(a) + 6*n(a). Factor l(r).
-(r + 2)*(7*r - 13)**2
Let a(z) = -8*z**2 - 27*z - 6. Let p be a(-3). Suppose -3*b = p*t, -2*t + 5 - 15 = 4*b. Factor 47/6*o**3 - 8*o + 26/3*o**2 + 2*o**4 - 32/3 + 1/6*o**t.
(o - 1)*(o + 1)*(o + 4)**3/6
Let m be 11 - (546/(-455))/(4/565). What is u in -19*u - 1/2*u**2 - m = 0?
-19
Let z(k) = k**3 - 7*k**2 - 9. Let l(c) = -5*c**2 - 2 + 0 + 3*c**2. Let g be (-48)/(-32)*(-20)/15. Let q(d) = g*z(d) + 9*l(d). Factor q(m).
-2*m**2*(m + 2)
Solve 0 - 17*j**3 - 655/8*j**2 + 0*j - 1/8*j**4 = 0.
-131, -5, 0
Let u be (-51)/(-270) + (-3)/90*5. Let y(o) be the second derivative of 0 - 2*o + 1/6*o**5 + 4/9*o**3 + 0*o**2 - 4/9*o**4 - u*o**6. Factor y(g).
-2*g*(g - 2)**2*(g - 1)/3
Suppose -2*k = -5*r + 24, -3*r = 2*k - 5 - 3. Let c be (0 + r - 0)*2/2. Find y such that 4*y**3 + 3*y + 8*y**2 - y - 2*y**5 - 4*y**c - 4*y - 4 = 0.
-2, -1, 1
Let z = -27387/4 - -6847. Let i(m) be the second derivative of -z*m**5 + 0 + 0*m**4 + 24*m + 0*m**2 + 5/6*m**3. What is h in i(h) = 0?
-1, 0, 1
Let o(h) be the third derivative of -h**6/300 - 403*h**5/150 - 80*h**4/3 - 532*h**3/5 + 3254*h**2. Let o(v) = 0. Calculate v.
-399, -2
Let y(w) = 3*w**2 - 19*w - 256. Let r be y(13). Let n(z) be the third derivative of 0 - 1/6*z**3 + 0*z - 25*z**2 - 7/180*z**5 - 5/36*z**r. Solve n(f) = 0.
-1, -3/7
Let b be 15/20 - (-4)/(-16)*-21. Suppose -2 = 2*k - b. Factor 47 + 6*t - 47 - 3*t**k + 0*t**2.
-3*t*(t - 2)
Let f(s) be the third derivative of s**6/420 + 67*s**5/210 + 64*s**4/21 + 12*s**3 + 4414*s**2. Solve f(i) = 0.
-63, -2
Let n = 9623 + -9623. Let m(d) be the second derivative of 0 + 1/48*d**4 + n*d**2 - 21*d - 1/24*d**3 + 1/80*d**5 - 1/120*d**6. Solve m(o) = 0 for o.
-1, 0, 1
Suppose 9*i - 8*i - 3 = 0. Let s(a) = 11 - 11 - a**2 - a + a**i. Let h(g) = -19*g**3 + 14*g**2 - g. Let x(v) = -h(v) + 6*s(v). Factor x(q).
5*q*(q - 1)*(5*q + 1)
Let y(s) be the third derivative of 0 + 1/3*s**5 + 5/3*s**4 + 0*s**3 - 1/12*s**6 - 24*s - 1/42*s**7 + s**2. Factor y(r).
-5*r*(r - 2)*(r + 2)**2
Let x(p) be the third derivative of p**5/390 - 19*p**4/156 - 14*p**3/3 + 99*p**2. Let x(s) = 0. What is s?
-7, 26
Suppose -64/9 + 22/9*r**2 + 2/9*r**3 + 40/9*r = 0. What is r?
-8, -4, 1
Let y be (-8)/(-44) - 11/(-3146)*-41. Let n(l) be the first derivative of y*l**4 - 4/39*l**3 - 8/13*l + 1 - 7/13*l**2. Suppose n(b) = 0. Calculate b.
-1, 4
Let b(a) = -a**3 + 3*a - 3. Let q be b(-6). Suppose 21*u = -44*u + q. Let -3*g**5 - 2*g - 3*g**4 + 0 + 1/3*g**2 + 55/3*g**u = 0. Calculate g.
-3, -1/3, 0, 1/3, 2
Solve -57*b - 25/2*b**2 + 1/4*b**4 + 11*b**3 - 135/4 = 0 for b.
-45, -1, 3
Let x(w) = 5*w**2 - 2026*w + 2029. Let r(j) = 6*j - 4. Let i(q) = -4*r(q) + x(q). Factor i(c).
5*(c - 409)*(c - 1)
Suppose 0 = -14*o + 9*o. Let z be 4 - o*(-4)/(-12). Suppose -15*a - 4*a**2 + 20*a**4 + z*a**5 - 17*a + 24*a**3 - 12*a**2 = 0. Calculate a.
-2, 0, 1
Let o(j) = -39*j**3 + 4971*j**2 - 287484*j - 292350. Let r(m) = 11*m**3 - 1420*m**2 + 82138*m + 83529. Let s(p) = 5*o(p) + 18*r(p). Suppose s(q) = 0. What is q?
-1, 118
Let b(n) be the first derivative of -2/15*n**3 - 110 + 24/5*n + 1/5*n**2. Suppose b(c) = 0. Calculate c.
-3, 4
Let x(v) be the first derivative of -v**4/4 + v**3 - v**2/2 + v - 96. Let h be x(2). Find q, given that 2/15*q**4 - 2/5*q**h + 0*q**2 + 0*q + 