en that -m**3 - m**3 - 2 + 2*m**2 - p*m**3 + 6*m**3 + 2*m = 0.
-1, 1
Let x be ((-46)/56 - 15/(-60))*21/(-4). Let -21/2*r + 33*r**x + 0 + 21/4*r**4 - 111/4*r**2 = 0. What is r?
-7, -2/7, 0, 1
Suppose -o**3 + 333*o**2 - 658*o**2 + 1034 + 519*o - 191*o**2 = 0. What is o?
-517, -1, 2
Let n(r) be the second derivative of -r**4/21 - 52*r**3/21 - 176*r**2/7 - 156*r. Factor n(u).
-4*(u + 4)*(u + 22)/7
Let q(t) be the second derivative of 3*t**5/100 - 2*t**4/5 + 7*t**3/10 + 1592*t. Let q(u) = 0. What is u?
0, 1, 7
Find w such that 0 + 0*w - 22/5*w**2 + 2/5*w**3 = 0.
0, 11
Let l be 32/112 + (-66)/(-14). Let c(t) = 2*t**3 + t**2 + t + 1. Let o(z) = 11*z**3 + 45*z**2 + 405*z + 5. Let p(s) = l*c(s) - o(s). Solve p(j) = 0 for j.
-20, 0
Let n(o) be the third derivative of o**7/245 + o**6/5 - 153*o**5/35 + 243*o**4/7 - 999*o**3/7 - 134*o**2 - 3*o. Find m such that n(m) = 0.
-37, 3
Let n(u) be the third derivative of -5*u**8/1176 - u**7/245 + u**6/60 + u**5/70 - u**4/42 + 1195*u**2. Find h such that n(h) = 0.
-1, 0, 2/5, 1
Determine c so that -149 - c**2 + 29 - 6810*c + 6748*c = 0.
-60, -2
Factor -336*k + 110*k**3 - 142*k**3 + 669*k**2 + 38*k**3.
3*k*(k + 112)*(2*k - 1)
Let z(y) be the first derivative of y**3/9 - 308*y**2/3 + 94864*y/3 + 2117. Factor z(l).
(l - 308)**2/3
Suppose d = -732 + 731. Let k be (2 - 11)/(-9) - d. Factor 18/11 + 2/11*n**k - 12/11*n.
2*(n - 3)**2/11
Let g(h) be the first derivative of -8*h**3 - 15/2*h**4 - 12 - 4*h**2 - 5/2*h**5 + 7*h. Let n(o) be the first derivative of g(o). Suppose n(k) = 0. Calculate k.
-1, -2/5
Let a(b) = -942*b + 373978. Let c be a(397). Determine w, given that 1/2*w + 0 - 3/2*w**3 - w**c + 0*w**2 = 0.
-1, 0, 1/2
Factor -1/4*a**2 + 3/4 + 1/2*a.
-(a - 3)*(a + 1)/4
Let y(a) = -56*a**2 + 640*a - 1302. Let k(n) = 10*n**2 + 1. Let q(f) = 6*k(f) + y(f). Let q(p) = 0. Calculate p.
-162, 2
Factor -30*h**2 - 18*h - 37*h**3 - 15*h**2 - 11*h**4 - 123319*h**5 + 123318*h**5.
-h*(h + 1)**2*(h + 3)*(h + 6)
Factor -9 - 18*v + 62*v**2 - 64*v**2 + 99 + 41 + 93.
-2*(v - 7)*(v + 16)
Let g be -153 - -152 - 9/3*-1. Suppose -4/11*z + 0 + 2/11*z**g = 0. What is z?
0, 2
Let j(d) = -8*d**3 + 27*d - 6*d - 5*d**2 - 14*d. Let v(t) = 95*t**3 + 60*t**2 - 85*t. Suppose 0 = 6*p - 156 - 54. Let i(f) = p*j(f) + 3*v(f). Factor i(s).
5*s*(s - 1)*(s + 2)
Let b(q) be the third derivative of q**6/420 + 81*q**5/14 + 404*q**4/7 + 692*q**3/3 + 8842*q**2. Factor b(o).
2*(o + 2)**2*(o + 1211)/7
Let b(s) = -11*s**3 + 97*s**2 + 336*s + 6. Let k(f) = 12*f**3 - 109*f**2 - 337*f - 7. Let m(i) = 7*b(i) + 6*k(i). Factor m(x).
-5*x*(x - 11)*(x + 6)
Let m be ((-288)/336)/(-4 - (-292)/(-56) - -6). Let b = -1151 + 17279/15. What is a in 0 - b*a**2 - m*a = 0?
-2/7, 0
Factor -3*t**2 + 16/3*t - 1/3*t**3 + 48.
-(t - 4)*(t + 4)*(t + 9)/3
Let w(v) be the second derivative of v**5/5 + 146*v**4/3 + 862*v**3/3 + 572*v**2 - 2*v + 199. Find h such that w(h) = 0.
-143, -2, -1
Determine t so that 285732 + 101*t + 4*t**2 - 5*t**2 - 286120 = 0.
4, 97
Factor 15/2*g - 1/4*g**2 - 161/4.
-(g - 23)*(g - 7)/4
Let z(m) be the third derivative of 31*m**2 + 0*m**3 + 0 + 15/16*m**4 + 0*m + 1/40*m**5. Suppose z(k) = 0. Calculate k.
-15, 0
Let m(d) be the third derivative of -2*d**7/315 + 7*d**5/45 + d**4/3 - 839*d**2. Find g, given that m(g) = 0.
-2, -1, 0, 3
Let h(d) be the second derivative of 0 + 0*d**3 - 191*d + 0*d**2 + 1/36*d**4 + 103/120*d**5. Solve h(f) = 0 for f.
-2/103, 0
Let a(t) be the third derivative of t**5/60 + t**4/2 - 3*t**3/2 + 17*t**2. Let u be a(-14). Factor -14*w + 9*w**5 + 20*w**2 + 20*w**4 + u*w + 30*w**3 - 4*w**5.
5*w*(w + 1)**4
Let j be 12/((-96)/(-5800)) - 1. Let l = -724 + j. Factor l*u - 4/5*u**3 + 0 + 2/5*u**4 + 2/5*u**2.
2*u**2*(u - 1)**2/5
Suppose -28 - 4*y**4 - 79*y**2 - 53*y**2 + 148*y - 20 - 24*y**2 + 649*y**3 - 589*y**3 = 0. What is y?
1, 12
Factor 0 + 3/4*b**3 - 9/4*b**2 - 15/2*b.
3*b*(b - 5)*(b + 2)/4
Let h(s) = 10490*s + 41960. Let y be h(-4). Factor y - 3/4*c - 3/2*c**3 - 9/4*c**2.
-3*c*(c + 1)*(2*c + 1)/4
Factor 0 + 2/9*b**3 + 32/3*b - 38/9*b**2.
2*b*(b - 16)*(b - 3)/9
Let t(f) = f**3 + 11*f**2 + 26*f + 79. Let y be t(-9). Let c(d) be the second derivative of 0*d**3 - 1/6*d**4 + 0 - y*d + 4*d**2. Determine k so that c(k) = 0.
-2, 2
Let d(z) be the first derivative of 8/27*z**3 - 11/9*z**2 + 1/18*z**4 + 4/3*z - 31. Factor d(k).
2*(k - 1)**2*(k + 6)/9
Let h(o) = -o**3 - 17*o**2 + 14*o - 53. Let d be h(-18). Factor 5*b**2 - 25*b - 31 + 23 - 14*b**3 + 23 + d*b**3.
5*(b - 1)**2*(b + 3)
Solve -3/2 + 215/4*g - 209/4*g**2 = 0 for g.
6/209, 1
Let w(z) be the first derivative of 2*z**3/15 + 106*z**2/5 - 432*z/5 + 3268. Find x, given that w(x) = 0.
-108, 2
Let c = 149/306 - -2/153. Let u(g) be the first derivative of -1/4*g - 1/8*g**2 + c*g**3 + 7. Suppose u(i) = 0. What is i?
-1/3, 1/2
What is n in -629856 - 398092*n - 122*n**4 + 12*n**4 - 3*n**5 - 58320*n**2 - 4968*n**3 + 83164*n - 88*n**4 = 0?
-18, -6
Let x(d) be the second derivative of 1/126*d**7 + 0 + 17*d + 4000/9*d**3 + 21*d**5 + 0*d**2 + 2300/9*d**4 + 61/90*d**6. Solve x(w) = 0.
-20, -1, 0
Let i be (-1 - 899/(-93))/(15/27*3). Factor -i*r + 12/5 + 4/5*r**3 + 2/5*r**2.
2*(r - 2)*(r + 3)*(2*r - 1)/5
Let a be 308/(-336)*(-18)/66. Let k = 797/4 + -193. Determine s, given that k + a*s**2 + 5/2*s = 0.
-5
Let j(w) be the first derivative of -w**3/12 + 127*w**2 - 64516*w - 2972. Factor j(z).
-(z - 508)**2/4
Let q(h) be the second derivative of -42 - h + 3/20*h**4 + 4/15*h**3 + 1/100*h**5 + 0*h**2. Let q(w) = 0. What is w?
-8, -1, 0
Let m be (-160)/(-60) + (-1)/(-3). Suppose -9*r**5 - 101*r - 1196*r**2 + 202*r - 1508*r**m + 571*r - 255 - 225*r**4 + 831 = 0. Calculate r.
-12, -1, -2/3, 2/3
Determine r so that 9/5*r - 2/5*r**2 + 19 = 0.
-5, 19/2
Let x be (-10)/(-1) - (-932)/(-2330). Let j(o) be the first derivative of 4*o**3 + 18 - 4*o**2 + x*o**5 + 0*o + 17*o**4. Find t such that j(t) = 0.
-1, -2/3, 0, 1/4
Suppose 85 = 5*v - v + 3*d, 2*v = -2*d + 42. Suppose 2*x = 5*a - v, -3*a - 3*x + 8 = x. Factor -l**3 - 10*l**a - 2*l**3 + 7*l**4 + 0*l**4.
-3*l**3*(l + 1)
Suppose 4*y + 2666 = 2*m, 2886 - 217 = -4*y + 5*m. Let i = y - -670. Suppose -4/7*g**i + 0 + 0*g + 0*g**3 + 4/7*g**2 = 0. What is g?
-1, 0, 1
Let j(t) be the second derivative of -1/120*t**6 + 0*t**3 - 1/168*t**7 + 0*t**2 + 32*t + 1/48*t**4 + 1/80*t**5 - 2. Factor j(k).
-k**2*(k - 1)*(k + 1)**2/4
Suppose 133*i - 471 + 205 = 0. Let t be 20/(-35) - 111/(-84). Suppose 9/4*x + 3/2 + t*x**i = 0. Calculate x.
-2, -1
Let p(v) be the first derivative of -6*v**5/25 + 99*v**4/10 - 652*v**3/5 + 3636*v**2/5 - 8208*v/5 + 2085. Let p(m) = 0. What is m?
2, 6, 19
Let f be 54/(-27) + (-1 - -99). Let 104*k + 66*k**2 - 30*k**2 + 2*k**3 - 3*k**2 + f - k**2 = 0. What is k?
-12, -2
Let z be ((-44)/6)/((-16)/24). Suppose -z*h = -18 - 26. Let -24/13*y**h - 18/13*y**5 + 4/13*y**3 - 2/13*y + 8/13*y**2 + 0 = 0. Calculate y.
-1, 0, 1/3
Let j(f) be the third derivative of f**3 + 21/32*f**6 + 0 + 0*f + 7/120*f**7 + 18*f**2 - 35/24*f**4 + 17/40*f**5. Solve j(a) = 0 for a.
-6, -1, 2/7
Let g(b) be the third derivative of -1/6*b**4 + 0*b**3 + 0*b + 1/15*b**5 - 157*b**2 - 2/105*b**7 + 1/30*b**6 + 0. Factor g(j).
-4*j*(j - 1)**2*(j + 1)
Let m(v) be the second derivative of v**4/9 - 26*v**3/3 + 240*v**2 + 1570*v. Suppose m(i) = 0. What is i?
15, 24
Let v(g) = -7*g**4 + 2584*g**3 + 2639*g**2 + 12*g - 6. Let n(q) = 135*q**4 - 49095*q**3 - 50150*q**2 - 230*q + 115. Let p(b) = 6*n(b) + 115*v(b). Factor p(u).
5*u**2*(u + 1)*(u + 517)
Let c(y) be the second derivative of -2/105*y**7 + 4/25*y**5 + y + 50 + 1/15*y**6 + 0*y**2 - 17/30*y**4 + 2/5*y**3. Solve c(f) = 0 for f.
-2, 0, 1/2, 1, 3
Let l = 10 + -7. Let a(u) = -3 - l - 12*u + 4 - 1. Let h(w) = -w**2 - 11*w - 2. Let j(n) = -2*a(n) + 3*h(n). Factor j(t).
-3*t*(t + 3)
Let c be (-45)/36 - (-57)/(-12) - -1. Let r be 14*(264/(-54) - c). Determine n, given that 38/9*n - r*n**2 + 4/3 = 0.
-2/7, 3
Let b(d) = 22*d - 408. Let y be b(16). Let g be (28/y)/(22/(-24)). Factor -2/11*p**4 + 0 - 6/11*p**2 + 2/11*p + g*p**3.
-2*p*(p - 1)**3/11
Let -200/9 + 52/9*p**4 - 542/9*p - 32/9*p**3 - 428/9*p**2 - 2/9*p**5 = 0. What is p?
-1, 4, 25
Suppose 0 = 5*r + 3*a - 53, -2*a - 4 = -2*r + 14. Factor 4*q**2 + 4*q**3 - 4*q + 5*q**4 - 9*q**2 + q**3 - 11*q + r*q**3.
5*q*(q -