 1/280*x**7 + 0*x**3 + 0*x**4 - 17*x**2 - 3. What is m in v(m) = 0?
-3, 0, 1
Let j(c) be the third derivative of 1/80*c**5 - 11 + 11/96*c**4 + 0*c + 2*c**2 - 1/160*c**6 - 1/840*c**7 + 1/4*c**3. Factor j(q).
-(q - 2)*(q + 1)**2*(q + 3)/4
Let q(d) be the second derivative of -d**6/90 + 19*d**5/30 + 163*d**4/36 + 104*d**3/9 + 14*d**2 + 22*d. Let q(z) = 0. What is z?
-2, -1, 42
Suppose -5750*q - 90 = -5765*q. Let k(r) be the third derivative of 1/10*r**5 - r**3 - 1/8*r**4 + 0*r + 3*r**2 + 0 + 1/40*r**q. Solve k(j) = 0.
-2, -1, 1
Let x(j) be the first derivative of -4*j**5 - 107*j**4 - 56*j**3 + 452. Solve x(n) = 0.
-21, -2/5, 0
Let x(n) be the first derivative of n**6/12 + n**5/10 - n**4/8 - n**3/6 - 25. Solve x(d) = 0.
-1, 0, 1
Let b(j) be the third derivative of -j**5/80 - 31*j**4/16 - 15*j**3 - 3*j**2 + 143*j. Find c, given that b(c) = 0.
-60, -2
Suppose 19/5*z - 4/5*z**2 - 22/5*z**3 + 3/5*z**5 + 6/5 - 2/5*z**4 = 0. What is z?
-2, -1, -1/3, 1, 3
Let n(t) = -2*t**2 + 92*t - 608. Let v be n(38). Let l be 4/(-6) + 28/6. Factor v*y**l - 1/4*y**5 + 1/4*y**3 + 0 + 0*y + 0*y**2.
-y**3*(y - 1)*(y + 1)/4
Let i(j) be the second derivative of j**4/42 + j**3/7 - 351*j - 2. What is s in i(s) = 0?
-3, 0
Let p be ((-28)/26)/7 - (-836)/26. Factor -l + 8*l**4 - 3*l - 34*l**3 - 4*l + 2*l + p*l**2.
2*l*(l - 3)*(l - 1)*(4*l - 1)
Let j be (25/(-25))/(-3 + 2). Let c = -23 + 38. Determine l so that 5*l**4 + 5*l**5 - c*l**3 + 10*l + 152*l**2 - 157*l**2 - 1 + j = 0.
-2, -1, 0, 1
Let t(m) be the first derivative of -m**6/21 - 22*m**5/5 + 157*m**4/14 - 158*m**3/21 - 2053. Factor t(j).
-2*j**2*(j - 1)**2*(j + 79)/7
Let d(k) = 3*k**2 + 9*k + 10. Let s be d(-5). Let i be 30/s + (-5)/(-4). Factor -7 + 6 - 2 + 10*j**i - 8*j + 1.
2*(j - 1)*(5*j + 1)
Suppose 0*c = 3*c - 5*g + 1402, 1404 = -3*c + 6*g. Let p = -462 - c. Solve 66/7*u + 20/7 - 2*u**p = 0.
-2/7, 5
Factor 14*c**3 + 544*c**2 - 163*c**2 + 63 - 183*c**2 - 110*c - 166*c**2 + c**4.
(c - 1)**2*(c + 7)*(c + 9)
Let i(s) = 10*s + 19*s**2 + 23*s**2 - 37*s**2. Let b(h) = h**2 + 22*h + 1. Let t be b(-22). Let v(x) = 1. Let o(m) = t*i(m) + 5*v(m). Factor o(u).
5*(u + 1)**2
Let h(z) be the third derivative of -10/9*z**4 + 112/9*z**3 - 1/315*z**7 - 19/30*z**5 + 0*z - 7/90*z**6 + 18 - 3*z**2. Solve h(y) = 0 for y.
-7, -4, 1
Let 0 + 1/3*c**4 - 32/3*c - 19/3*c**3 + 50/3*c**2 = 0. What is c?
0, 1, 2, 16
Let i be 14*(122000/(-11200) + 10 + 1). Determine f so that -9*f + 21/2 - i*f**2 = 0.
-7, 1
Let f(w) be the second derivative of 5/6*w**3 + 95/12*w**4 - 95/2*w**2 + 13*w - 1/4*w**5 + 2. Factor f(y).
-5*(y - 19)*(y - 1)*(y + 1)
Suppose 0 = 2*n - v + 9, 2*n = -0*n + 5*v + 3. Let c be (n/(-4))/((-77)/(-28) - 2). Factor -3 - 15/4*r - 3/4*r**c.
-3*(r + 1)*(r + 4)/4
Determine g, given that 40/7 + 3/7*g**3 + 1/7*g**4 - 12/7*g - 2*g**2 = 0.
-5, -2, 2
Let b = 373 + -361. Let c be (b/135*-5)/(-1). Find v such that -4/9*v**2 + c - 4/9*v + 4/9*v**3 = 0.
-1, 1
Let m(v) = 2*v**2 - 7. Let t be m(-3). Suppose t*c - 34 = -12. Suppose 4 + 112*s - 2 - 116*s + 2*s**c = 0. What is s?
1
Let b be (-2)/9*(-810)/30. Factor 3*q + 74*q**2 + b*q - 44*q**2 + 7*q + 11*q**3 + 3*q**3.
2*q*(q + 1)*(7*q + 8)
Factor -82/11 - 80/11*l + 2/11*l**2.
2*(l - 41)*(l + 1)/11
Let m(b) be the first derivative of b**4/30 - 2*b**3/45 - 4*b**2/15 + 8*b/15 - 833. Solve m(s) = 0.
-2, 1, 2
Suppose -50*f = -49*f - 80. Suppose 72 + 148*r - 126*r**3 + 66*r**3 + f*r**2 + 64*r**3 = 0. What is r?
-18, -1
Suppose 0 = -3*c - 2 + 5. Suppose u + c = -h, -2*u + u + 3 = 2*h. Factor 2*q**4 + 6 - 1 - 3 - h*q**2.
2*(q - 1)**2*(q + 1)**2
Let i be 2/(-4)*16/(-24). Suppose -4*f - 1 = -77*a + 74*a, -4*a = 5*f - 22. Factor -i*q**4 + 2/3*q**2 + 1/3*q**a + 0*q + 0.
-q**2*(q - 2)*(q + 1)/3
Let a(v) be the third derivative of -2*v**5/45 - 15*v**4/4 - 11*v**3 - 244*v**2 + 3. Factor a(l).
-2*(l + 33)*(4*l + 3)/3
Let i(y) be the second derivative of y**6/150 + 3*y**5/50 + 3*y**4/20 + 2*y**3/15 + 2*y - 427. Let i(w) = 0. Calculate w.
-4, -1, 0
Let n(c) be the third derivative of c**6/30 - 37*c**5/15 + 145*c**4/2 - 1050*c**3 - 675*c**2 + 1. Factor n(l).
4*(l - 15)**2*(l - 7)
Suppose -10*o - 60 = -25*o. Let r = -3 + 6. Solve i**3 + 16*i**4 + o*i**2 + 15*i**3 + i**3 + 3*i**r = 0 for i.
-1, -1/4, 0
Let u(c) be the second derivative of 182*c**6/45 - 94*c**5/5 - 109*c**4/9 + 248*c**3/3 + 72*c**2 + 8*c + 324. What is d in u(d) = 0?
-1, -2/7, 18/13, 3
Let g be (-326 + 1)*(7 + 58/(-8)). Let o = -2921/36 + g. Factor -1/9*v**5 + 2/9*v**2 - o*v + 2/9*v**3 - 1/9*v**4 - 1/9.
-(v - 1)**2*(v + 1)**3/9
Determine v, given that -2/13*v**4 + 84/13*v**2 - 22/13*v**3 - 112/13 - 8/13*v = 0.
-14, -1, 2
Suppose 0 = -4*f + 4*u - 4, 28*u - 26*u - 12 = 0. Let v(s) be the first derivative of -13 + 1/4*s**4 - s**2 + 0*s - 3/5*s**f + s**3 + 1/6*s**6. Factor v(t).
t*(t - 2)*(t - 1)**2*(t + 1)
Let q(n) be the first derivative of -n**3/5 + 102*n**2/5 - 396*n/5 + 6492. Factor q(k).
-3*(k - 66)*(k - 2)/5
Let f(s) be the first derivative of -s**5 - s + 5/2*s**4 - 25 + 1/6*s**6 - 10/3*s**3 + 5/2*s**2. Solve f(k) = 0.
1
Factor -366/7 - 3/7*o**2 - 27*o.
-3*(o + 2)*(o + 61)/7
Let b(f) = -f**3 - 37*f**2 - 34*f + 72. Suppose -3*d = 5 - 17, 6*w - 4*d + 232 = 0. Let i be b(w). Find y, given that i*y + 1/4*y**4 + 4 + 0*y**3 - 2*y**2 = 0.
-2, 2
Let m(q) = -2*q**3 + 8*q**2 + 11*q - 11. Let i be m(5). Let j be 34684/1740 - (-2)/i. Factor 28/5*d + 2/5*d**2 + j.
2*(d + 7)**2/5
Let d(o) be the third derivative of -o**7/210 - o**6/30 + 45*o**3/2 - 4*o**2 - 11*o. Let x(k) be the first derivative of d(k). Let x(g) = 0. Calculate g.
-3, 0
Solve 32 - 60*o + 35*o**2 - 15/2*o**3 + 1/2*o**4 = 0 for o.
1, 2, 4, 8
Let m(l) be the first derivative of -2/3*l**3 - 60 - 3/2*l**2 + 0*l + 1/4*l**4. Factor m(d).
d*(d - 3)*(d + 1)
Let w(s) be the first derivative of s**5 - 15*s**4/4 - 20*s**3 + 50*s**2 + 240*s + 1997. Factor w(u).
5*(u - 4)*(u - 3)*(u + 2)**2
Let b(j) be the third derivative of 17*j**6/240 - 11*j**5/15 + 23*j**4/16 + 21*j**3/2 + 4*j**2 + 194. Factor b(h).
(h - 3)**2*(17*h + 14)/2
Suppose -2*b - 14 = -4*q, -21*q + 18*q + 21 = -5*b. Let d be 135/585 - 3/(1*b). Factor -2/13*a**4 + 8/13 + d*a - 10/13*a**3 + 2/13*a**5 + 2/13*a**2.
2*(a - 2)**2*(a + 1)**3/13
Let f(g) be the first derivative of 5*g**6/24 + 27*g**5/20 + 45*g**4/16 + 29*g**3/12 + 3*g**2/4 - 2769. Find j, given that f(j) = 0.
-3, -1, -2/5, 0
Let o(j) be the first derivative of j**6/6 - 52*j**5/5 + 105*j**4 + 2400*j**3 + 6655. Solve o(d) = 0.
-8, 0, 30
Let c(a) = -2*a**2 + 23*a - 31. Let w be c(11). Let j be (92/w - -6)*2/7. Factor 10*p + 4*p**2 + j*p**3 + 0.
2*p*(p + 5)**2/5
Let h(r) be the second derivative of r**4/6 - 3098*r**3/3 + 2399401*r**2 - 5498*r. Let h(u) = 0. What is u?
1549
Suppose 674*r - 649*r - 75 = 0. Let q(a) be the third derivative of 0*a - 1/12*a**5 + 1/24*a**6 + 0*a**4 + 0 + 19*a**2 + 0*a**r. Suppose q(d) = 0. What is d?
0, 1
Let y be (212/(-265))/((-6)/15 - 0). Suppose -p = -3*r + 6, p - 3*r + 2*r = -2. Factor p - 1/5*t**4 + 1/5*t + 1/5*t**y - 1/5*t**3.
-t*(t - 1)*(t + 1)**2/5
Let q = 153828 - 153824. Factor 1/5*j**q - 66/5*j - 14/5*j**3 + 27/5 + 52/5*j**2.
(j - 9)*(j - 3)*(j - 1)**2/5
Let m be (-222)/(-42) + 4/(-14). Suppose 0 = -5*n + 5*j + 5, 4*j - m = n. Find q, given that 77 - 4*q**2 - 4*q**n - 77 = 0.
-1, 0
Let u(a) be the third derivative of -2*a**7/15 - 22*a**6/15 - 5*a**5 - 3*a**4 + 321*a**2 + 1. Factor u(d).
-4*d*(d + 3)**2*(7*d + 2)
Let w be (-1)/5 - 372/(-60). Let v be (-10)/(-3) - 2/w. Solve 27*g**2 - 5 - 20*g**4 - 1 + 29*g**2 + 8*g**3 - 13*g + 35*g**v = 0.
-1, -1/4, 2/5, 3
Let g(n) be the third derivative of -40*n**2 - 16/3*n**3 - 5/18*n**6 + 0 - 26/9*n**5 + 2*n + 58/9*n**4. Determine o, given that g(o) = 0.
-6, 2/5
Let r(i) be the third derivative of i**5/30 - 156*i**4 + 292032*i**3 + 2*i**2 + 98*i. Find f such that r(f) = 0.
936
Let s(f) = 9*f**2 - 496*f + 503. Let x(k) = -200*k**2 + 10910*k - 11070. Let q(u) = 45*s(u) + 2*x(u). Determine l, given that q(l) = 0.
1, 99
Suppose 0 = -32*m + 33*m + 54. Let h = m + 100. Suppose -h*t**3 + 0*t + t + 45*t**3 = 0. Calculate t.
-1, 0, 1
Let x(a) be the second derivative of -a**4/24 - 33*a**3 + 199*a**2 - 2*a - 556. What is q in x(q) = 0?
-398, 2
What is n in -29121*n - 8421 + 3076*n + 7404*n**2 + 5626*n**2 + 21441 - 5*n**3 = 0?