a - z*a**2 + 2088*a**2 + 2*a**3 = 0.
-6, -3, 0
Let d(q) be the first derivative of q**3/6 + 2*q**2 - 10*q - 1138. Solve d(h) = 0.
-10, 2
Let t(h) = 486*h + 51518. Let n be t(-106). Let -9*v - 12 - 3/2*v**n = 0. Calculate v.
-4, -2
Let a = -1833/103880 + 1/392. Let p = a + 827/2120. Determine n, given that -1/8*n**3 + 0 + p*n**2 - 1/4*n = 0.
0, 1, 2
Let t(g) be the third derivative of 0*g**4 + 0*g - 1 + 1/100*g**6 - 1/525*g**7 - 1/75*g**5 + 11*g**2 + 0*g**3. Solve t(l) = 0.
0, 1, 2
Let m(b) = -20*b - 121. Let i be m(-6). Let p be ((-17)/4 + 4)/(i/12). Find t such that 10*t + 1/8*t**p + 8 + 17/8*t**2 = 0.
-8, -1
Let p(w) be the second derivative of 3*w**5/20 + 47*w**4/4 - 97*w**3/2 + 147*w**2/2 - 33*w - 5. Solve p(i) = 0.
-49, 1
Let l(c) be the first derivative of c**4/96 - c**3/48 - 3*c**2/8 - 288*c - 205. Let z(i) be the first derivative of l(i). Factor z(h).
(h - 3)*(h + 2)/8
Let x(t) be the third derivative of t**5/12 - 479*t**4/24 + 190*t**3/3 + t**2 - 10*t - 1. Factor x(i).
(i - 95)*(5*i - 4)
Let s(o) be the second derivative of o**7/168 - 13*o**6/120 - 4519*o. Factor s(z).
z**4*(z - 13)/4
Suppose 6*h - 28 = -22. Let a be (-11 + -4)/(-5) + h. Let s(y) = 2*y**2 - 2*y + 2. Let u(q) = 2*q**2 - q + 3. Let d(w) = a*u(w) - 6*s(w). Factor d(c).
-4*c*(c - 2)
Find k, given that -239*k**3 - 65*k**5 - 18*k**2 - 23*k - 199*k**4 + 70*k**2 + 340*k**3 + 159*k**3 - 25*k = 0.
-4, -6/13, 0, 2/5, 1
Let w(u) be the first derivative of 5*u**4/4 + 85*u**3 - 5*u**2/2 - 255*u + 598. Determine x, given that w(x) = 0.
-51, -1, 1
Let s(g) be the third derivative of -g**5/35 - 121*g**4/6 + 1132*g**3/21 + 7*g**2 - g - 14. Find d such that s(d) = 0.
-283, 2/3
Factor 44*m - 2/9*m**2 - 784/9.
-2*(m - 196)*(m - 2)/9
Let p be -9 - 7/(-3 - -2). Let b be 5/(((-495)/p)/9). Let -b*i + 0*i**2 + 2/11*i**3 + 0 = 0. Calculate i.
-1, 0, 1
Let x = -117434/5 + 235483/10. Suppose 3/2*h**3 + x*h - 33*h**2 - 30 = 0. Calculate h.
1, 20
Let w be ((-36)/15)/((-27)/(-720)). Let i be 597/168 - (-8)/w. Factor -i*t - 36/7 - 4/7*t**2.
-4*(t + 3)**2/7
Let u = 14879/2 + -7439. Let j(w) be the first derivative of 20/9*w**3 - 44/9*w**2 - 6 + 16/3*w - u*w**4 + 2/45*w**5. Factor j(x).
2*(x - 3)*(x - 2)**3/9
Let y be (-7)/(((-336)/(-30))/(-8)). Determine j so that 425*j**2 - 68*j**3 - 83*j**3 - 45*j**4 + 196*j**3 + 5*j**y - 750*j = 0.
-3, 0, 2, 5
Let f(d) = d**3 - 43*d**2 + 3. Let q be f(43). Factor 6*w**4 - 19*w**q - w - 3*w**2 - 7*w**4 + 16*w**3.
-w*(w + 1)**3
Let j(l) be the first derivative of -l**6/10 + 19*l**5/20 - 11*l**4/4 + 7*l**3/2 - 2*l**2 - 46*l + 20. Let w(k) be the first derivative of j(k). Factor w(a).
-(a - 4)*(a - 1)**2*(3*a - 1)
Let p(q) be the first derivative of -12*q**3 - 756*q**2 - 21168*q - 123 - 1/14*q**4. Factor p(o).
-2*(o + 42)**3/7
Let y(b) = b**3 - b**2 - 711*b + 2. Let j be y(0). Factor 59/2*n**j + 14*n + 35/2*n**3 + 2.
(n + 1)*(5*n + 2)*(7*n + 2)/2
Let h = -8/721 + -28768/6489. Let y = 424/63 + h. Factor -y*x - 2/7*x**2 - 32/7.
-2*(x + 4)**2/7
Let y = -613479/40 + 15337. Let h(c) be the second derivative of 5/24*c**4 + 3/4*c**2 - c - y*c**5 - 7/12*c**3 + 0. Factor h(x).
-(x - 3)*(x - 1)**2/2
Suppose q**5 + 182*q**2 + 244*q**4 - 3*q**5 - 178*q**4 - 60*q - 186*q**3 = 0. Calculate q.
0, 1, 30
Let h(s) = 10*s**2 - 5285*s - 1393910. Let d(v) = 23*v**2 - 10571*v - 2787818. Let i(r) = -5*d(r) + 11*h(r). Solve i(o) = 0 for o.
-528
Let v(i) be the second derivative of 0 + 0*i**3 + 1/5*i**4 + 1/100*i**5 - 13*i + 0*i**2. Determine l so that v(l) = 0.
-12, 0
Determine v, given that 56/5*v**2 + 54/5*v + 2/5*v**3 + 0 = 0.
-27, -1, 0
Let s be 27/(28/(-48)*94/(-2961)). Factor 81*b**2 + 8748 + 3/2*b**3 + s*b.
3*(b + 18)**3/2
Let j(f) = -2*f**3 + 113*f**2 + 1661*f + 12838. Let z(o) = 3*o**3 - 212*o**2 - 3323*o - 25678. Let u(i) = 5*j(i) + 3*z(i). Solve u(h) = 0.
-26, -19
Let i(b) = 310*b**2 - 2*b. Let v be i(1). Let u = 311 - v. Factor -2/5*l**u + 0 + 2*l - 8/5*l**2.
-2*l*(l - 1)*(l + 5)/5
Let c be (-3)/42*-7*12. Find a such that 3*a - 619 + c*a**2 + 619 - 2*a = 0.
-1/6, 0
Suppose -39*v + 5*d - 22 = -40*v, -2*v = -2*d + 4. Let f be v + (64/800 - 158/100). Factor h**4 - 7/2*h**3 + f + 9/2*h**2 - 5/2*h.
(h - 1)**3*(2*h - 1)/2
Suppose 3*j = 3*b - 27, -5*j + 4 = 5*b + 19. Let h be (-770)/(-12) - (-1)/j. Determine f, given that 6 - 6 + 32*f + h + 4*f**2 = 0.
-4
Let l be 2/(-30) + (-18020)/(-300). Suppose -l = 487*u - 502*u. Find f, given that 4/11*f**5 + 0*f - 19/11*f**u + 0 + 6/11*f**2 + 19/11*f**3 = 0.
-1/4, 0, 2, 3
Let a = -183 + -544. Let j = a - -1457/2. Determine u, given that 0*u**2 + j*u**4 + 0*u + 0 + 3*u**3 = 0.
-2, 0
Let x(p) be the first derivative of -3375*p**4/4 - 975*p**3/2 + 285*p**2 - 42*p - 11989. Factor x(r).
-3*(10*r + 7)*(15*r - 2)**2/2
Suppose 3*a + 48 = 3*o, 0 = 3*o + 3*a - 63 + 15. Let 32*l - 127*l**4 + 46*l**2 - 6*l**2 + o*l**3 + 129*l**4 = 0. What is l?
-4, -2, 0
Let k(b) be the third derivative of 17*b**6/30 - 23*b**5/10 + 3*b**4 - b**3/3 - 667*b**2. Suppose k(p) = 0. What is p?
1/34, 1
Let 670/7 - 412/21*b + 2/21*b**2 = 0. What is b?
5, 201
Let x(f) be the first derivative of 0*f - 1/32*f**4 + 7*f**2 + 0*f**3 + 12 - 1/80*f**5. Let a(p) be the second derivative of x(p). Factor a(d).
-3*d*(d + 1)/4
Suppose 4*x = -j + 129, x + 5*j - 14 = 4. Let a = x - 30. Factor -31 + w**2 - 33 + 64 + a*w.
w*(w + 3)
Let q(k) be the second derivative of -k**6/90 + 7*k**5/60 + 5*k**4/4 - 7*k**3/18 - 22*k**2/3 - 1878*k. Solve q(a) = 0.
-4, -1, 1, 11
Factor -50*c + 14*c**2 - 450/7 - 2/7*c**3.
-2*(c - 45)*(c - 5)*(c + 1)/7
Suppose 5*o + 11265 - 11192 = 4*s, -8*s + 3 = o. Let 392/3 + 2/3*f**s - 56/3*f = 0. Calculate f.
14
Let f be (-2 - -2)*11/198*3. Let u(s) be the first derivative of 20*s**3 + f*s + 6*s**2 + 63/4*s**4 - 19. Suppose u(p) = 0. What is p?
-2/3, -2/7, 0
Suppose 0 = -5*c + 37 + 123. Determine s so that -c*s**3 + 8*s**3 + 11*s**3 + 14*s**3 = 0.
0
Let b = 10437 + -7427. Let u be (-2)/(-17) - b/(-4760). Determine j, given that u*j + 1/2 + 1/4*j**2 = 0.
-2, -1
Let q be (-2)/(7 - 7 - 1). Factor 19*i + i**q - 12 + 18 + 30 - 2.
(i + 2)*(i + 17)
Let a(g) be the first derivative of -3*g**3 - 6*g + 1. Let d(m) = m**2 + 1. Let y be 6/3 + (-9 - 2 - -3). Let b(v) = y*d(v) - a(v). Factor b(k).
3*k**2
Suppose -3*b + 22 = 4*s, 3*b + 79*s = 80*s + 2. Solve 6 + 3/4*j**b + 27/4*j = 0.
-8, -1
Let o be (4 - (-5)/5) + -6 - -121. Let s = o - 116. Suppose 24/11*k**3 - 2/11 + 4/11*k**2 - 18/11*k**s - 8/11*k = 0. What is k?
-1/3, 1
Let h(y) be the first derivative of -y**3/15 - 27*y**2/5 - 2033. Let h(c) = 0. Calculate c.
-54, 0
Let r(g) be the second derivative of g**7/42 - g**6/2 - 17*g**5/20 + 5*g**4/4 + 8*g**3/3 + 903*g. Factor r(w).
w*(w - 16)*(w - 1)*(w + 1)**2
Let c = 5678/3381 + -390/1127. Find g, given that 4/3*g**2 + 1/3*g**5 - c*g**4 + 0*g + 0 - 1/3*g**3 = 0.
-1, 0, 1, 4
Let t(l) be the third derivative of 2*l**7/315 - 13*l**6/9 - 403*l**5/45 + 266*l**4/9 - 2*l**2 - 568*l. Find b such that t(b) = 0.
-4, 0, 1, 133
Suppose -32*p - 140 = -18*p. Let j be -6 - ((-21)/12 + (p - -5)). Suppose j*c**2 - 9/8*c + 3/8*c**5 + 3/4*c**3 + 3/8 - 9/8*c**4 = 0. What is c?
-1, 1
Suppose -2*k - 2 = -x, 2*x = 7*x + 3*k - 23. Suppose 0 = -x*s - 21 + 41. Factor -16*v**s + 21*v**5 + 1 + 15*v**4 + 10*v**3 - 1.
5*v**3*(v + 1)*(v + 2)
Let h(j) be the third derivative of -j**5/210 - 494*j**4/21 - 976144*j**3/21 - 4553*j**2. Solve h(r) = 0.
-988
Let m = -28221 - -59997/2. Let r = m + -24645/14. Factor -72/7 - 26/7*i**2 - r*i + 20/7*i**3 - 2/7*i**4.
-2*(i - 6)**2*(i + 1)**2/7
Let u(v) be the first derivative of 0*v**2 + 24 + 5*v**3 - 1/14*v**4 - 1/60*v**5 + 0*v - 1/1260*v**6. Let b(r) be the third derivative of u(r). Factor b(h).
-2*(h + 1)*(h + 6)/7
Let h(d) be the second derivative of d**6/15 + d**5/5 - d**4/6 - 2*d**3/3 - 811*d. Factor h(w).
2*w*(w - 1)*(w + 1)*(w + 2)
Let n(x) be the second derivative of x**4/72 - 85*x**3/6 + 21675*x**2/4 - 1501*x. Determine q, given that n(q) = 0.
255
Let h(o) be the second derivative of 3*o**2 + 1/240*o**5 + 1/12*o**3 + 0 + 11*o + 1/32*o**4. Let g(t) be the first derivative of h(t). What is x in g(x) = 0?
-2, -1
Suppose -5*l - 37 = -11*t, 3*t - 7 = t + l. Let h be (-1 - -2) + (-10)/(-6). Factor h*j - 10/3 + 2/3*j**t.
2*(j - 1)*(j + 5)/3
Let 9/4*s**2 + 9/2*s + 1/4*s**3 + 0 = 0.