2)*(k + 74)*(5*k - 2)/2
Let p(d) be the first derivative of 17/36*d**4 - 10/9*d**3 + 1/54*d**6 + 0*d + 170 + 4/15*d**5 + 0*d**2. Suppose p(c) = 0. What is c?
-10, -3, 0, 1
Let f = 545 - 270. Factor 3*u**4 + f*u**2 + u**4 - 271*u**2 + 8*u**3.
4*u**2*(u + 1)**2
Let c be (-3)/3 + -4 + 8. Find r, given that -15*r - r**2 - 3*r**4 + 208*r**3 - 4*r**2 + 13*r**4 - 5*r**2 - 188*r**c - 5*r**5 = 0.
-1, 0, 1, 3
Let q(p) be the third derivative of -3*p**2 + 0 - p**4 - 7*p - 8*p**3 + 3/4*p**5 + 1/5*p**6 + 1/70*p**7. Find v such that q(v) = 0.
-4, -1, 1
Let -6192/7 + 2/7*g**2 + 3092/7*g = 0. What is g?
-1548, 2
Solve 132*d + 4*d**2 + 4*d**2 - 589 + 1032 + 621 - 4*d**2 = 0.
-19, -14
Suppose 0*f - 6 = 3*f, 3*m + 4*f = -80. Let o be ((-3)/2)/(18/m). Solve -2*p**3 - 4*p + 12*p**2 - 10*p**2 - 2*p**5 + 8*p**3 - o*p**4 = 0.
-2, -1, 0, 1
Let f(u) be the second derivative of u**4/36 - 10*u**3/3 + 208*u**2/3 - 3*u - 478. Factor f(x).
(x - 52)*(x - 8)/3
Let j(d) be the first derivative of -1/3*d**3 - 1/8*d - 61 - 3/8*d**2. Solve j(v) = 0.
-1/2, -1/4
Let q(d) = -24*d**2 + 40*d + 12. Let l(h) = -942 - 23*h - 16*h + 929 + 24*h**2. Let p(j) = -4*l(j) - 5*q(j). Factor p(w).
4*(w - 2)*(6*w + 1)
Let d(r) be the second derivative of -6 + 0*r**2 + 1/30*r**5 - 2/9*r**4 + 5*r + 4/9*r**3. Factor d(c).
2*c*(c - 2)**2/3
Let k(l) = -l**2 - 44*l - 78. Let y be k(-42). Suppose 32*o + 1240*o**4 - 14*o**2 - 12 - 2*o**3 - 1238*o**4 - y*o = 0. Calculate o.
-3, 1, 2
Let w(a) be the first derivative of -2*a**5/15 + 16*a**4/3 + 22*a**3/3 + 4346. Determine h so that w(h) = 0.
-1, 0, 33
Let a = 739 + -723. Factor 603 + r**3 + 530*r**2 - 433 - 685*r - a*r**3.
-5*(r - 34)*(r - 1)*(3*r - 1)
Let y(c) = c**3 - 28*c**2 + 51*c + 27. Let v be y(26). Let n = 6 + -3. Determine u so that -5*u**2 - u**3 - 4 - 4*u - n*u + v + 0 = 0.
-3, -1
Let o be (-246)/21*-1 + 30/105. Let n(v) be the second derivative of -1/8*v**2 + 1/12*v**3 + 0 + o*v - 1/48*v**4. Factor n(j).
-(j - 1)**2/4
Find t, given that -19*t**2 - 15*t**2 + 127*t - 86*t - 264 + 167*t - 2*t**3 + 0*t**3 = 0.
-22, 2, 3
Let x(y) be the third derivative of 25/2*y**3 - 1/80*y**6 + 5 + 3*y**2 + 0*y + 3/10*y**5 - 45/16*y**4. Factor x(g).
-3*(g - 5)**2*(g - 2)/2
Let s(z) be the first derivative of -z**6/15 - 58*z**5/25 + 209*z**4/10 - 118*z**3/15 - 856*z**2/5 - 224*z - 4589. Solve s(v) = 0.
-35, -1, 4
Solve -18/7*h**2 - 8 + 256/7*h = 0.
2/9, 14
Let c = 2068/7189 - 2/1027. Let n(w) be the first derivative of -24/7*w**3 + 12/7*w**2 - 6 - c*w. Factor n(a).
-2*(6*a - 1)**2/7
Suppose 114 = 3*h - 33. Let i = -44 + h. Let 12*p**3 + 7 + 4*p**4 - 4*p**2 - 12*p**i - 7 = 0. Calculate p.
-1, 0, 1/3, 1
Let v be -1*6/54 + 164/18. Factor a + 3*a - 13*a + 12 - v*a - 8*a - 10*a**2.
-2*(a + 3)*(5*a - 2)
Let n(q) = 19*q**2 - 16*q - 123. Let h be n(3). Let f(a) be the first derivative of -51 + 0*a**2 + 0*a**4 + h*a - 2/35*a**5 + 2/21*a**3. Factor f(b).
-2*b**2*(b - 1)*(b + 1)/7
Let a = 73/20 - 211/60. Let f(t) be the first derivative of 1/25*t**5 + 9 + 1/5*t + 0*t**2 - a*t**3 + 0*t**4. Factor f(m).
(m - 1)**2*(m + 1)**2/5
Let m(c) be the third derivative of c**7/1260 + c**6/90 - c**5/120 - 13*c**4/72 - 4*c**3/9 - 478*c**2 + 2*c. Factor m(n).
(n - 2)*(n + 1)**2*(n + 8)/6
Suppose 0 = 59854*j - 59732*j - 244. Factor -2 + 2/9*p**j + 16/9*p.
2*(p - 1)*(p + 9)/9
Let f(m) be the second derivative of 7/4*m**4 + 9*m - 49/2*m**3 + 0 + 7/2*m**2 - 1/20*m**5. Let i(k) be the first derivative of f(k). Factor i(t).
-3*(t - 7)**2
Let y = -5912 - -41148/7. Let s = 34 + y. Determine t, given that -s*t**3 + 2/7*t - 2/7 + 2/7*t**2 = 0.
-1, 1
Solve 2704/7 + 104/7*a + 1/7*a**2 = 0 for a.
-52
Let p(h) = 4*h**3 - 1. Let n(z) = -34*z**3 - 6*z**2 + 80*z + 8. Let o(x) = x**2 - 3*x - 8. Let w be o(0). Let i(k) = w*p(k) - n(k). Factor i(t).
2*t*(t - 5)*(t + 8)
Let x be (1*-4 + ((-192)/(-10))/4)*60/24. Factor 0 + 5/2*a + 1/4*a**x.
a*(a + 10)/4
Let 1160/17*j**2 - 338724/17 + 2/17*j**3 + 167034/17*j = 0. What is j?
-291, 2
Let u(j) be the second derivative of -j**7/3780 + j**6/360 + j**5/45 - 37*j**4/12 + 48*j. Let g(y) be the third derivative of u(y). Factor g(d).
-2*(d - 4)*(d + 1)/3
Let h(p) = -2*p + 32. Let o(u) = 2*u + 25. Let b be o(-5). Let g be h(b). What is n in -4*n**2 + 5*n**2 + n - 48*n**3 + 3*n**g + 47*n**3 - 4 = 0?
-1, 1, 4
Let o(n) be the second derivative of 1/20*n**6 - 1/8*n**4 + 3/4*n**3 + 0*n**2 - 2*n - 9/40*n**5 - 7. Factor o(g).
3*g*(g - 3)*(g - 1)*(g + 1)/2
Let j(s) be the third derivative of s**5/12 + 65*s**4 + 20280*s**3 - 398*s**2. Factor j(o).
5*(o + 156)**2
Let b(j) be the second derivative of -3/80*j**5 + 1/2*j**4 + 0*j**2 - 3/2*j**3 + 0 - 33*j. Factor b(l).
-3*l*(l - 6)*(l - 2)/4
Let l = 509 + -482. Factor 5 + 27*o - 90*o + 30*o + o**2 + l*o.
(o - 5)*(o - 1)
Let a(k) be the first derivative of k**6/42 + 4*k**5/5 + 243*k**4/28 + 80*k**3/3 - 416*k**2/7 + 1101. Let a(w) = 0. Calculate w.
-13, -8, 0, 1
Let x be (3940/3)/(98/(-84)). Let u = x + 1126. Find y, given that -4/7*y - u*y**2 - 2/7 = 0.
-1
Solve 8*x**4 + 8*x**4 + 56 + x**5 - 46*x**2 - 52*x - 277277*x**3 + 277302*x**3 = 0 for x.
-14, -2, 1
Let p(k) = 3200*k - 512005. Let b(t) = -t**2 + 1. Let y(n) = 5*b(n) + p(n). Determine q, given that y(q) = 0.
320
Let j(v) be the second derivative of 3/4*v**4 + 121*v - 18*v**2 + 2*v**3 - 3/20*v**5 + 0. Solve j(f) = 0 for f.
-2, 2, 3
Factor -2/9*m**3 - 696*m - 76/3*m**2 + 13456/9.
-2*(m - 2)*(m + 58)**2/9
Suppose -3 = m - 4*j - 4, -2*m - 5*j = -41. Suppose -2*a = -10, m*p = 12*p - 3*a + 18. Factor 0*c + 16/3*c**4 + 0 - 4/3*c**5 + 8/3*c**2 - 20/3*c**p.
-4*c**2*(c - 2)*(c - 1)**2/3
Let f(j) = -j**3 - 11*j**2 + 6*j - 43. Let p be f(-12). Factor 15*a**2 - 336*a + p*a - 302*a - 246.
3*(a - 41)*(5*a + 2)
Let n be 95/35 + (-2)/(-7). Let t be (n - 7) + 4 - 0. Suppose 2*g - 6*g**2 + 9*g**2 + 10*g + t*g = 0. Calculate g.
-4, 0
Let p(m) be the first derivative of -m**6/15 + 68*m**5/25 - 321*m**4/10 + 1088*m**3/15 - 256*m**2/5 + 800. Suppose p(a) = 0. What is a?
0, 1, 16
What is w in -23*w - 49*w + 15 + 15 - 51*w**2 + 103*w**2 - 10 = 0?
5/13, 1
Let m(x) be the third derivative of -x**7/280 - 21*x**6/160 - 3*x**5/8 + 425*x**4/8 + 1125*x**3 + 2*x**2 + 46. Determine u so that m(u) = 0.
-10, 9
Let y(m) be the second derivative of 1/5*m**5 - 74*m + 2 + 0*m**2 - 16/3*m**3 - 7/3*m**4. Determine p, given that y(p) = 0.
-1, 0, 8
Factor -2656/3*l + 2/3*l**3 - 658/3*l**2 - 888.
2*(l - 333)*(l + 2)**2/3
Let a be ((-8)/10800)/(-3*(368/60 + -6)). Let c(m) be the third derivative of -a*m**6 + 0*m**4 + 0 + 0*m + 11*m**2 + 1/135*m**5 + 0*m**3. Factor c(l).
-2*l**2*(l - 2)/9
Let o(k) be the first derivative of k**3/4 - 75*k**2/2 - 153*k - 743. Determine w so that o(w) = 0.
-2, 102
Let i be 594/792 - ((-15)/4)/(-5). Let a(b) be the third derivative of 1/330*b**5 + 0*b + 0*b**3 + i*b**4 + 0 + 11*b**2. Factor a(n).
2*n**2/11
Factor 3/5*k**3 + 1437/5*k**2 + 573*k + 1431/5.
3*(k + 1)**2*(k + 477)/5
Let g(i) = i**5 + 18*i**4 + 8*i**3 + 14*i**2 + 16*i + 4. Let r be -8*(66/(-12) - -6). Let d(o) = o**4 - o**3 - o**2. Let u(l) = r*g(l) + 44*d(l). Factor u(s).
-4*(s + 1)**3*(s + 2)**2
Let x(g) be the third derivative of -2*g**7/735 + g**6/70 + 8*g**5/35 + 2*g**4/3 - 2*g**2 - 653. Solve x(c) = 0 for c.
-2, 0, 7
Let s = 2497/1110 - 82/37. Let n(a) be the first derivative of 9 - 1/6*a**2 + 0*a + 1/12*a**4 - 1/18*a**3 + s*a**5. Solve n(r) = 0.
-2, -1, 0, 1
Let k be (-1*11/2)/((-1551)/564). Determine m so that -3/8*m**4 + 39/8*m - 45/8*m**k - 3/2 + 21/8*m**3 = 0.
1, 4
Let -121*x**2 + x**3 - 34*x - 238*x**2 + 344*x**2 = 0. What is x?
-2, 0, 17
Let r(z) = -21*z + 44. Let g be r(2). Factor 23 - 14*s + 38 - 10 - s**g.
-(s - 3)*(s + 17)
Let y be 1 - 50 - (-5 - (-11 + 3)). Let k be y/(-364) + (-557)/(-7). Suppose 162/7*j**4 - k*j**3 + 300/7*j**2 + 48/7 + 312/7*j = 0. Calculate j.
-1/3, -2/9, 2
Let x be 28/(-8)*(-40)/14. Suppose -3*v - x + 46 = -3*l, -2*v = 5*l - 3. Suppose -3 + v*o**2 - 3/2*o + 3*o**4 + 21/2*o**3 = 0. Calculate o.
-2, -1, 1/2
Suppose 0 = 60*s - 67*s + 385. Suppose s*p - 310 - 20 = 0. Factor -3/4*r**2 - p*r - 3/4*r**5 - 3 + 3/4*r**4 + 15/4*r**3.
-3*(r - 2)**2*(r + 1)**3/4
Let p(z) = -z**2 + 685*z + 66308. Let h be p(-86). Find o such that 1/4*o**4 + 0 + 3/4*o**h - 5/4*o**3 + 9/4*o = 0.
-1, 0, 3
Suppose 23*l + 2336 = 55*