0.
-3, 0, 5
Factor 19/4*r + 17/2 + 1/4*r**2.
(r + 2)*(r + 17)/4
Let r(n) be the first derivative of -n**3/6 + 798*n**2 - 1273608*n + 663. Suppose r(i) = 0. What is i?
1596
Suppose -65*a = 29*a + 564. Let m be a/(-26)*572/220. Factor m*k**5 + 42/5*k**2 - 36/5*k**3 + 6/5*k**4 - 3*k + 0.
3*k*(k - 1)**3*(k + 5)/5
Let c(m) = -3*m**2 - 169*m + 4777. Let d be c(-77). Determine i so that 2/13*i**2 + 10/13*i**d - 10/13*i + 0 - 2/13*i**4 = 0.
-1, 0, 1, 5
Let g(k) = -2*k**3 - 26*k**2 - 48*k + 122. Let l be g(-10). Factor 24/5*j**4 + 0*j**l - 8/5*j**3 - 18/5*j**5 + 0*j + 0.
-2*j**3*(3*j - 2)**2/5
Let q(k) be the first derivative of -k**4/7 - 236*k**3/21 - 416*k**2/7 + 2640*k/7 - 4825. Factor q(u).
-4*(u - 2)*(u + 6)*(u + 55)/7
Let o(v) = v**3 + 134*v**2 - 199*v - 8638. Let x be o(-135). Factor -1/5*h**3 + 0 - 9/5*h**x + 22/5*h.
-h*(h - 2)*(h + 11)/5
Determine o so that 48/5*o - 10 + 2/5*o**2 = 0.
-25, 1
Let l(w) be the first derivative of 2*w**3/3 - w**2 + 5*w + 38. Let k(a) = -2*a + 1. Let x(d) = -3*k(d) + l(d). Factor x(f).
2*(f + 1)**2
Let f(t) be the third derivative of -8*t**2 + 0*t**5 - 1/1680*t**7 - 2 + 0*t + 0*t**3 - 1/240*t**6 + 0*t**4. Factor f(z).
-z**3*(z + 4)/8
Suppose -2*l + 159 - 41 = 0. Suppose -34*f = -43 - l. Factor -3/5*t - 1/5*t**f + 0 + 4/5*t**2.
-t*(t - 3)*(t - 1)/5
Let q(p) be the first derivative of -p**5/10 - 112*p**4 + 449*p**3 - 674*p**2 + 899*p/2 - 3627. Factor q(x).
-(x - 1)**3*(x + 899)/2
Let v be 4/14 + (-30)/56 - 399/(-1596). Let u(q) be the first derivative of -29 + 1/18*q**4 + 0*q + v*q**2 + 4/27*q**3. Factor u(c).
2*c**2*(c + 2)/9
Let t(n) be the second derivative of -n**7/240 - n**6/1080 + n**5/180 - n**4/12 + 21*n**2/2 + 3*n + 18. Let m(a) be the third derivative of t(a). Factor m(w).
-(7*w + 2)*(9*w - 2)/6
Let f be (-99)/(-264)*-8*(-4 - (-60)/27). Let 13 + 1/3*j**2 - f*j = 0. Calculate j.
3, 13
Let s = 319 - 315. Factor -1 + 1 - 122*g**s - 16*g**2 - 16*g**3 + 118*g**4.
-4*g**2*(g + 2)**2
Suppose 7*p - 313 - 93 = 0. Suppose -22*z + 51*z - p = 0. Find c, given that -4/5*c**z + 8/5*c + 0 = 0.
0, 2
Let v(b) be the second derivative of b**4/3 - 8*b**3/3 - 10*b**2 - 2*b + 123. Factor v(g).
4*(g - 5)*(g + 1)
Let g(a) be the first derivative of 2*a**3/27 - 35*a**2/9 - 148*a/9 - 2606. Factor g(v).
2*(v - 37)*(v + 2)/9
Let t(h) = -38*h**2 + 1019*h + 429. Let i(s) = 116*s**2 - 3056*s - 1284. Let d(k) = 5*i(k) + 16*t(k). Factor d(c).
-4*(c - 37)*(7*c + 3)
Let p(b) = -9*b**2 + 14*b**2 - 22 + 11*b - 13*b**2 + b**3. Let c be p(7). Factor -j**3 - c*j**2 - 172 + 172.
-j**2*(j + 6)
Let g be 0/((-14)/(18 - 4)). Let s(j) be the first derivative of -7 + 3/5*j**5 + 9/4*j**4 - 9/2*j**2 - j**3 + g*j. Find b such that s(b) = 0.
-3, -1, 0, 1
Let n(r) be the third derivative of 0*r + 0 - 1/24*r**6 - 1/6*r**5 + 195*r**2 - 10/3*r**3 + 35/24*r**4. What is t in n(t) = 0?
-4, 1
Let n be (-101369)/1821 - 56/(-1). Suppose 1521*w - 39*w**2 + n*w**3 - 19773 = 0. What is w?
39
Let t(m) be the third derivative of 7*m**6/80 - 11*m**5/40 + 23*m**4/64 - m**3/4 - 184*m**2. Determine h so that t(h) = 0.
1/2, 4/7
Determine n, given that 640/9*n + 72 + 154/9*n**2 - 2/9*n**3 = 0.
-2, 81
Let z = 89072/5139 + 4/5139. Suppose 5*w**3 - 8/3 + z*w + 58/3*w**2 = 0. What is w?
-2, 2/15
Let u = -75 - -183. Solve -89 + 140*c**3 + 199 - 52*c**4 - 94 - u*c**2 + 4*c = 0.
-4/13, 1
Let h(d) = -50*d**3 + 230*d**2 - 288*d + 96. Let x(m) = -50*m**3 + 230*m**2 - 286*m + 96. Let l(o) = 7*h(o) - 8*x(o). Factor l(u).
2*(u - 3)*(5*u - 4)**2
Suppose -3*z = 10 - 16. Suppose -8*g - 5*y = -4*g - 12, 3*g - 9 = -2*y. Factor -2/11*c**g + 8/11*c**z + 4/11 - 10/11*c.
-2*(c - 2)*(c - 1)**2/11
Let n(q) be the second derivative of -q**5/80 + 7*q**4/3 + 343*q**3/24 + 115*q**2/4 + 387*q. Factor n(c).
-(c - 115)*(c + 1)*(c + 2)/4
Let f(n) = n**3 + 16*n**2 + 41*n + 1. Let c be f(-13). Let v(j) = 11*j**2 + 276*j + 29. Let g be v(c). Factor 25/8 + 3/2*p**3 + 15/2*p + 23/4*p**2 + 1/8*p**g.
(p + 1)**2*(p + 5)**2/8
Let h(a) be the first derivative of a**4/16 - a**3/6 - 55*a**2/8 + 50*a + 2967. Let h(s) = 0. Calculate s.
-8, 5
Suppose -4*z + 10 = z. Factor 128*d**3 - 254*d**z + 54 + 0 + 542*d**2 + 216*d.
2*(4*d + 3)**3
Let s(n) be the second derivative of 1/108*n**4 + 0*n**2 + 1/27*n**3 - 1/270*n**6 + 1/378*n**7 + 110*n + 0 - 1/60*n**5. Let s(f) = 0. Calculate f.
-1, 0, 1, 2
Let o = -1138686 - -10248232/9. Let 1184/9*j**3 - o*j + 4/3 - 128*j**4 - 184/9*j**2 = 0. Calculate j.
-2/9, 1/4, 3/4
Let m(r) = 2*r**2 + 523*r + 17538. Let c be m(-222). Factor 0 - 3/4*p**4 + 9/2*p**3 + 21/4*p**2 + c*p.
-3*p**2*(p - 7)*(p + 1)/4
Let o(s) = 5*s - 120. Let z be o(20). Let d be (-22 - z) + 5*1 + 0. What is m in -12/7*m**4 + 12/7*m**2 + 4/7*m**d + 0 - 4/7*m = 0?
-1, 0, 1/3, 1
Suppose 62755*p - 62313*p - 1768 = 0. What is y in 975/2*y**2 + 1/4*y**p + 15625/4 - 4375*y - 19*y**3 = 0?
1, 25
Let t(v) be the first derivative of -v**3 - 18*v**2 - 108*v - 1870. Factor t(h).
-3*(h + 6)**2
Let d = 296166/5 + -59232. Let 2/5 - 4/5*x**4 + 2/5*x**2 - 6/5*x + d*x**3 = 0. What is x?
-1, 1/2, 1
Let m(w) = -7*w - 16. Let o be m(-3). Suppose -k**3 - 4*k**3 + o*k - 129*k**2 + 95 + 34*k**2 = 0. What is k?
-19, -1, 1
Let i(b) be the first derivative of -1/15*b**3 + 0*b + 291 + 26/5*b**2. Factor i(c).
-c*(c - 52)/5
Let z(p) be the second derivative of -p**6/45 + p**5/90 + p**4/9 - p**3/9 + 85*p**2/2 - 48*p. Let y(d) be the first derivative of z(d). Factor y(t).
-2*(t - 1)*(t + 1)*(4*t - 1)/3
Let l(y) = 6*y**3 - 237*y**2 - 120*y + 3. Let o be l(40). Factor 0*u - 1/5*u**2 + 0 + 1/5*u**o.
u**2*(u - 1)/5
Let l(u) = 2*u**2 - 43*u - 87. Let a be l(26). Let c = a - 141. Determine f so that c + 13/6*f**2 - 10*f + 1/6*f**4 + 5/3*f**3 = 0.
-6, 1
Let j = -38 + 39. Let d be (-1)/(-3) + j/(-3)*-23. Solve o**2 + 20*o**2 + 20*o**3 + 12*o**2 + 5*o**4 + 10*o - d*o**2 = 0.
-2, -1, 0
Suppose -7*p + o + 41 = 16 - 17, 0 = -4*o. Let t(u) be the third derivative of 1/120*u**p - 20*u**2 + 5/24*u**4 + 0*u - 1/15*u**5 + 0 - 1/3*u**3. Factor t(v).
(v - 2)*(v - 1)**2
Let i(t) be the first derivative of -5*t**3/12 - 459*t**2/8 - 91*t - 5560. Let i(s) = 0. What is s?
-91, -4/5
Let y(u) be the third derivative of 0 + 0*u + 1/420*u**5 - 11/21*u**3 + 1/8*u**4 + 38*u**2. Solve y(a) = 0.
-22, 1
Let q(u) = -3*u**3 + 3 + 3 + 6*u**3 - 3*u**2 - 4. Let w be q(1). Let -3*s**2 - 6*s**2 - 9*s**2 + w*s + 1 + 19*s**2 = 0. What is s?
-1
Let i(x) be the first derivative of x**5/35 - 241*x**4/28 - 70*x**3 - 1478*x**2/7 - 1976*x/7 + 2852. Factor i(y).
(y - 247)*(y + 2)**3/7
Let s(h) be the first derivative of -h**4/28 + 92*h**3/21 + 190*h**2/7 + 384*h/7 - 31. What is k in s(k) = 0?
-2, 96
Let q(f) be the third derivative of 13/45*f**5 + 0*f**6 - 58*f**2 + 0*f + 1/3*f**4 - 4*f**3 + 0 + 1/2016*f**8 - 1/140*f**7. Determine w, given that q(w) = 0.
-2, 1, 6
Suppose 5063 = -14*t + 5273. Let z(p) be the second derivative of -7/15*p**3 - 3/50*p**5 - 1/3*p**4 + 0*p**2 + t*p + 0. Factor z(i).
-2*i*(i + 1)*(3*i + 7)/5
Let p = 5/47056973 + 3232955205449/99478440922. Let l = p + 1/1057. Factor 5 + 55/2*z**2 - l*z.
5*(z - 1)*(11*z - 2)/2
Let x = -70830 - -141661/2. Determine v so that 0 + x*v**3 - 3/4*v - 5/4*v**2 = 0.
-1/2, 0, 3
Let o be (72/5)/((-86)/(-215)). Let q be (-14)/63 + ((-8)/o)/(-1). Factor -4/3*k**3 + q*k**2 + 0*k + 0.
-4*k**3/3
Let b(u) = 29*u - 25. Let i be (-12)/(-6)*(-3)/(-6). Let s be b(i). Find h, given that 6/19*h**2 + 2/19*h**s - 8/19 + 8/19*h**3 - 8/19*h = 0.
-2, -1, 1
Factor -10*j - 8 - 3*j**2 + 1/4*j**4 + 1/2*j**3.
(j - 4)*(j + 2)**3/4
Let a(o) = 51*o**2 + 31*o + 20. Let n(x) = -43*x**2 - 29*x - 20. Let j(y) = -5*a(y) - 6*n(y). Determine p, given that j(p) = 0.
-5, -4/3
Let f(g) = -g**4 + g**3 + g**2 + g - 1. Let t(x) = 3*x**5 - 21*x**3 + 24*x**2 + 6*x - 18. Let q(k) = -6*f(k) - t(k). Find j such that q(j) = 0.
-2, -1, 1, 2
Solve h**3 - 29*h + 20*h**2 - 15*h + 92*h + 48*h = 0.
-12, -8, 0
Let g be -4 - (88442/(-4860) + (11 - 8)). Let p = g + 1/486. Let -196/5*b**2 - 4/5 - p*b = 0. What is b?
-1/7
Let t be (8 - 2)*16/72*((-91)/(-4) + -19). Let 12/5*d**2 + 0 + 0*d + 12/5*d**3 - 3/5*d**4 - 3/5*d**t = 0. Calculate d.
-2, -1, 0, 2
Factor 0 + 1/3*a**2 + 36*a.
a*(a + 108)/3
Let y be 6*((-45)/(-10) + -4). Suppose 3*x - 25 = -2*z, y*x - 45 = -2*x - 4*z. Find l such that -l**2 + 0*l**3 + x