- 449 - 106*s**2 = 0. Calculate s.
-45, -1, -2/3, 2
Let n(a) be the second derivative of 1/10*a**5 + 729000*a**2 + 45*a**4 - 2 + 8100*a**3 + 47*a. Factor n(r).
2*(r + 90)**3
Let x(f) be the second derivative of 1/90*f**5 + 0 - 2/9*f**3 + 1/36*f**4 - 17/2*f**2 - 22*f. Let h(n) be the first derivative of x(n). Solve h(t) = 0.
-2, 1
Let f(n) = -n**3 - n**2 + 17*n + 17. Let a(y) = -3*y**3 - 3*y**2 + 51*y + 43. Let v(m) = -4*a(m) + 11*f(m). Let v(l) = 0. What is l?
-5, 1, 3
Let s(i) = i**2 - 15*i + 47. Let b be 28/2 + -6 - -3. Let x be s(b). Factor 0*w**4 + 1/3*w**5 - 2/3*w**2 + 0 + 0*w - w**x.
w**2*(w - 2)*(w + 1)**2/3
Let l be 0/(54/(-243) + 388/36*-1). Factor l + 2*v + 1/4*v**4 - 1/4*v**2 - 2*v**3.
v*(v - 8)*(v - 1)*(v + 1)/4
Suppose -4*p + 3*p + z = 10, 0 = 4*z - 20. Let d be (-52)/p + 2/(-5). Let 5 - d*l - 2*l + 2*l**2 + l**2 + 7 = 0. Calculate l.
2
Let z(v) be the first derivative of -4*v**3/9 + 892*v**2/3 - 198916*v/3 + 437. Factor z(j).
-4*(j - 223)**2/3
Determine z so that 0 - 300/7*z**2 - 8*z + 264/7*z**4 - 236/7*z**3 - 32/7*z**5 = 0.
-1/2, -1/4, 0, 2, 7
Suppose 12/7*k**5 + 621/7*k**2 + 135/7*k + 0 + 39*k**3 - 201/7*k**4 = 0. What is k?
-1, -1/4, 0, 3, 15
Let w(b) be the third derivative of -1/2*b**4 - 1/240*b**5 + 0*b**3 - 2 + 142*b**2 + 0*b. Factor w(g).
-g*(g + 48)/4
Let v(t) be the third derivative of 0 + 0*t**3 + 0*t**5 + 0*t - 1/420*t**7 + 0*t**4 + 0*t**6 - 19*t**2 + 1/1344*t**8. Solve v(r) = 0 for r.
0, 2
Let z be (2/2)/(-1 - (-288)/284). Factor 72 + 42*b**2 + z*b - b**4 + 4*b + 3*b**3 + 25*b.
-(b - 9)*(b + 2)**3
Let t(m) be the second derivative of m**5/10 - 43*m**4/4 - 11*m**3 + 65*m**2/2 + m - 1692. Suppose t(b) = 0. What is b?
-1, 1/2, 65
Let n be (16/(-12))/(-2) + 50/6. Let y(f) = f**2 - 6*f - 23. Let v be y(n). Factor 16*k**2 - 2*k**5 + 75*k**v + 4*k**2 + 45*k**3 + 7*k**5 - 45*k**4.
5*k**2*(k + 1)**2*(k + 4)
Suppose 1061 = 2*n - 475. Factor -37*m - 48*m - 4*m**2 + m**2 - n - 11*m.
-3*(m + 16)**2
Let o(v) = -11*v + 101. Let j be o(9). Factor 124*f - 49*f - 40*f - 43*f + 4*f**j.
4*f*(f - 2)
Suppose r - l - 6906 = 6*r, 0 = 2*l + 2. Let b = r + 6909/5. Factor 4/5*i**2 - b*i**3 + 4/5*i - 4/5.
-4*(i - 1)**2*(i + 1)/5
Let g(w) be the second derivative of -w**6/315 - 2*w**5/35 - 47*w**4/126 - 20*w**3/21 + 9*w + 79. Solve g(c) = 0.
-5, -4, -3, 0
Determine o, given that -390720*o - 1778*o**3 + 284414 - 196479*o**2 + 198*o**4 - 199565*o**2 + 504130 - 200*o**4 = 0.
-444, -2, 1
Let r(f) be the first derivative of f**4/12 - 26*f**3/3 - f**2/6 + 26*f - 32. What is d in r(d) = 0?
-1, 1, 78
Suppose -4374*q**3 + 397*q**4 - 5*q**5 - 4960*q**2 - 3593*q**3 + 209*q**3 + 3200*q = 0. What is q?
-1, 0, 2/5, 40
Let b(c) be the third derivative of 7/3*c**5 + 4/3*c**6 - 78*c**2 + 0*c + 0*c**3 + 5/336*c**8 + 11/42*c**7 + 0*c**4 + 0. Factor b(d).
5*d**2*(d + 2)**2*(d + 7)
Let t be 80*(-47)/(-235) - 1*14. Solve 13/2*x + 1/2*x**t - 7 = 0 for x.
-14, 1
Factor 704*w + 80109*w**2 + 3*w**3 - w**3 - 80465*w**2.
2*w*(w - 176)*(w - 2)
Let h(y) = -32*y + 165. Let x be h(5). Solve 4*i**5 + 22 - 40*i**3 + 32*i + 20*i**3 - x*i**4 + 4*i**2 + i**4 - 6 = 0.
-1, 2
Suppose -s = 2*s + 2*p, 5 = 4*s + p. Let w be 4636/8113*((-1)/(-4) - 26/(-13)). Factor 0 - 6/7*k + 3/7*k**4 - w*k**s + 0*k**3.
3*k*(k - 2)*(k + 1)**2/7
Let n(x) be the first derivative of 4*x**3/3 + 1404*x**2 - 714. Find u such that n(u) = 0.
-702, 0
Let h(c) be the first derivative of c**3/12 + 3*c**2/4 + 5*c/4 + 2929. Suppose h(j) = 0. Calculate j.
-5, -1
Let t(i) = 4*i**3 - 672*i**2 - 684*i + 1334. Let k(o) = 4*o**3 - 676*o**2 - 688*o + 1333. Let g(l) = -2*k(l) + 3*t(l). Factor g(m).
4*(m - 167)*(m - 1)*(m + 2)
Let w be (-1)/((15/20)/(-3)). Let t(p) be the first derivative of -3*p**3 + w*p**3 - 2 + 13*p**2 - 4*p**2 + 15*p**2 + 192*p. Factor t(g).
3*(g + 8)**2
Let a = 133 + -130. Solve 4 - 24*c**3 + 20 - 4 - 75*c**5 + 100*c + 135*c**2 - 155*c**4 - c**a = 0.
-1, -2/3, -2/5, 1
Let g(a) be the first derivative of 12*a**5/5 + 55*a**4 - 2192*a**3/9 - 1880*a**2/3 - 448*a - 3760. What is v in g(v) = 0?
-21, -2/3, 4
Let s be (-2106)/(-270) + (-3 - 1) - (-20)/100. Determine q, given that 36/17*q + 0 + 586/17*q**3 + 98/17*q**5 - 462/17*q**s - 258/17*q**2 = 0.
0, 2/7, 3/7, 1, 3
Let m = 146943 - 53631. Determine l, given that 288*l**3 + 4*l**4 + 3921*l**2 - 11697*l**2 + 4*l**4 - 419904 - 12*l**4 + m*l = 0.
18
Let f = -545442 - -545490. Solve -30*w**2 + 68*w + 3*w**3 - f + 1/2*w**4 = 0.
-12, 2
What is a in -910 + 2306 - 885 + a**3 - 707 - 45*a**2 - 192*a = 0?
-2, 49
Suppose 202 = -22*f + 290. Suppose 2*y - 4 = -4*s, -f*s = -4*y + 34 - 62. Factor 8/5*p**2 - 4/5*p - 4/5*p**s + 0.
-4*p*(p - 1)**2/5
Let k(n) be the third derivative of 16/3*n**3 + n**2 + 0 + 17/12*n**4 + 1/30*n**5 - 89*n. Factor k(s).
2*(s + 1)*(s + 16)
Let f = -30119 - -210834/7. Determine a so that -f*a**2 + 0 - 5/7*a = 0.
-5, 0
Let n(h) be the third derivative of -1 + 1/480*h**6 + 0*h**3 + 1/280*h**7 + 1/24*h**4 + 27*h**2 - 1/30*h**5 + 0*h. Solve n(s) = 0.
-2, 0, 2/3, 1
Let d = 797 - 795. Let h be (365/(-73))/(d + -5 + 2). Factor 0*m**2 - 4/3*m**3 + 2/3*m**h + 0*m**4 + 0 + 2/3*m.
2*m*(m - 1)**2*(m + 1)**2/3
Suppose -15*g = -2*g + 42*g - 220. Let d(u) be the second derivative of 10*u + 0 - 1/7*u**2 - 1/105*u**6 + 0*u**5 + 0*u**3 + 1/21*u**g. Let d(s) = 0. What is s?
-1, 1
Let l = -904 + 905. Let y be 1 - l - (-9)/(3 - -33). Solve -1/4*b + b**2 - 1 + y*b**3 = 0.
-4, -1, 1
Let m(j) be the third derivative of 0*j + 1/300*j**5 + 0 - 40*j**2 + 11/60*j**4 - 23/30*j**3. Determine r so that m(r) = 0.
-23, 1
Let s(m) = -9*m**2 - 2542*m - 2533. Let p(o) = -16*o**2 - 4576*o - 4560. Let x(n) = -11*p(n) + 20*s(n). Factor x(j).
-4*(j + 1)*(j + 125)
Let t(s) be the first derivative of -s**5/60 + 55*s**4/72 - 91*s**3/9 - 49*s**2/3 + 37*s - 123. Let j(g) be the first derivative of t(g). Factor j(u).
-(u - 14)**2*(2*u + 1)/6
Let q = -46621 - -46624. Factor 2*h - 4/5 + 2/5*h**q - 8/5*h**2.
2*(h - 2)*(h - 1)**2/5
Let p be (-48)/20 + (32/40)/2 - -8. Factor p*k**2 - 1/6*k**3 - 72*k + 288.
-(k - 12)**3/6
Let n be (-1 - -1) + 88/216 + 1. Let a = n - 440/351. Find m, given that -64/13*m - 16/13*m**3 + 48/13*m**2 + a*m**4 + 32/13 = 0.
2
Solve -6*m**2 + 3/4*m**3 - 33/4*m + 27/2 = 0.
-2, 1, 9
Factor 2/11*h**3 + 7680/11*h - 14400/11 - 244/11*h**2.
2*(h - 60)**2*(h - 2)/11
Let y(c) = 2*c**5 + c**4 - c**3 - c**2 - 2*c + 1. Let m(f) = 9*f**5 + 8*f**4 + 7*f**3 - 25*f**2 - 58*f + 5. Let t(q) = m(q) - 5*y(q). Factor t(o).
-o*(o - 4)*(o - 3)*(o + 2)**2
Factor 0*p - 1/2*p**4 - 58*p**3 + 0 + 0*p**2.
-p**3*(p + 116)/2
Let y(z) be the second derivative of -3*z**2 - 2 + 13/2*z**3 - 9/14*z**7 - 3/5*z**5 + 2*z**6 - 9/2*z**4 + 2*z. Solve y(t) = 0.
-1, 2/9, 1
Let m(j) be the third derivative of -j**5/12 - 25*j**4/6 + 315*j**3/2 - 305*j**2 - 2*j + 1. Factor m(w).
-5*(w - 7)*(w + 27)
Let c(p) = p**3 + 50*p**2 + 127*p + 47. Let j be c(-37). What is v in -315*v**2 - j*v + 17945*v + 3795 + 1325 + 5*v**3 = 0?
-1, 32
Let y be 25/4 - 6 - 162/1224. Factor -y*x**3 + 20/17 + 4/17*x**2 + 26/17*x.
-2*(x - 5)*(x + 1)*(x + 2)/17
Let f = -8819 + 61735/7. Solve -f*i**2 + 32/7 + 12/7*i = 0.
-2, 8
Determine a so that -17 + 0*a**2 + 23*a + 2*a**2 - 3*a + 53 - 2*a = 0.
-6, -3
Let l(j) = -5*j**2 - 16*j. Let f be l(-3). Let z be 2/(f + -8 - -6). Let 12/7*y**z + 16/7 - 32/7*y = 0. What is y?
2/3, 2
Let f = 2417/212560 + 3/2657. Let g(b) be the third derivative of -1/160*b**6 + 0*b - 14*b**2 + 0*b**3 + 0*b**4 + 0 + f*b**5. Suppose g(j) = 0. What is j?
0, 1
Let f(q) be the third derivative of q**5/420 + 51*q**4/56 - 11*q**3/3 - 75*q**2 - 18. Find l, given that f(l) = 0.
-154, 1
Let g(w) be the second derivative of w**4/36 - 364*w**3/9 + 66248*w**2/3 + 7580*w. Let g(r) = 0. What is r?
364
Let q = 9563 + -9559. Let d(g) be the first derivative of -5/3*g**2 + 2 - g - 1/15*g**5 - 4/3*g**3 - 1/2*g**q. Factor d(y).
-(y + 1)**3*(y + 3)/3
Let z(o) be the third derivative of -o**6/40 - 363*o**5/20 - 45*o**4 + 362*o**3 + 3*o**2 - o - 2. Suppose z(h) = 0. What is h?
-362, -2, 1
Let w(g) be the third derivative of -g**6/720 - g**5 - 10919*g**4/48 - 32041*g**3/18 - 17*g**2 + 7*g + 4. Solve w(m) = 0 for m.
-179, -2
Factor 3 - 6 - 236*w - 11 + w**2 + 231*w.
(w - 7)*(w + 2)
Let v(h) be the first derivative of h**4/24 - 19*h**3/18 + 55*h**2