 + 0*g**2 + 6950*g + 1701.
(g - 189)*(g - 9)
Let y(l) = 22*l**2 - 364*l + 358. Let u(a) = -9*a + 1. Let j(b) = -2*u(b) - y(b). Let j(s) = 0. Calculate s.
1, 180/11
Let r(o) be the third derivative of -5/84*o**7 - o - 37/80*o**6 + 8*o**3 - 4/3*o**4 - 97/60*o**5 + 6*o**2 + 0 - 1/336*o**8. Find m such that r(m) = 0.
-4, -3, -2, 1/2
Let l(n) be the third derivative of -n**8/336 + 11*n**7/35 - 77*n**6/30 + 29*n**5/10 + 183*n**4/8 + 5536*n**2. Factor l(s).
-s*(s - 61)*(s - 3)**2*(s + 1)
Let -2/15*u**3 - 38/15*u - 52/15*u**2 + 20 = 0. Calculate u.
-25, -3, 2
Suppose 996 + 1457 = 11*r. Let w = r + -220. Let 1/7*l**2 - 1/7*l + 1/7*l**w - 1/7 = 0. What is l?
-1, 1
Let f be (2/10)/((-24)/(-120)). Let d be (-1 + f)*(-56)/(-168). Find j such that 0 + 0*j + 1/2*j**4 + d*j**3 + 0*j**2 - 1/4*j**5 = 0.
0, 2
Let t(v) = -49 + 16 - 14*v - 112 - 7. Let n be t(-11). Factor 1/7*a - 1/7*a**n + 2/7.
-(a - 2)*(a + 1)/7
Let f(i) be the first derivative of 804609*i**4/4 + 537602*i**3 + 3590*i**2 + 8*i - 2059. Determine m, given that f(m) = 0.
-2, -2/897
Let z(r) = -r**2 - 24*r - 2. Let k be z(-24). Let j(i) = -27*i**3 - i**2 + 3. Let c be j(k). Let 220*d**4 + d - d - 10*d**3 + 5*d**2 - c*d**4 = 0. What is d?
0, 1
Let r be (-3 - (2 + 16))/((-3)/2). Let l = r - 11. Find p, given that 56*p**2 + 117*p + 24*p**l - 26*p - 4*p**4 - 47*p - 4*p**5 + 12 = 0.
-1, 3
Let t(j) be the third derivative of j**4/4 - 33*j**3/2 + j**2 - 11. Let a be t(17). Solve -16/9 - 2/9*z**a + 4/9*z**2 + 8/9*z = 0 for z.
-2, 2
Determine a, given that -116*a**2 - 11 - 29*a - 11*a + 20*a**3 + 51 - 28*a + 128*a**2 - 4*a**4 = 0.
-2, 1, 5
Let w(k) = k**4 - 23*k**3 - 29*k**2 + 45*k - 18. Let v(r) = r**4 - 19*r**3 - 28*r**2 + 44*r - 18. Let t(p) = -6*v(p) + 5*w(p). What is m in t(m) = 0?
-6, 1, 3
Let o(g) be the third derivative of g**8/112 - 19*g**7/14 + 2479*g**6/40 - 2097*g**5/4 + 2025*g**4/2 - 90*g**2 + g. Suppose o(v) = 0. Calculate v.
0, 1, 4, 45
Suppose 1932 = -36*x + 48*x. Let j be 1 + (-12)/9 + x/69. Factor -1/2*r**2 + 0*r + j*r**4 + 0 + 3/2*r**3.
r**2*(r + 1)*(4*r - 1)/2
Factor 0 + 10/19*f**4 + 2/19*f**5 + 0*f + 0*f**2 - 12/19*f**3.
2*f**3*(f - 1)*(f + 6)/19
Let z(s) = s - 10. Let n be z(10). Suppose q + 18 - 21 = n. Let 25*o**q + o**4 - 2*o**4 - 30*o**3 = 0. Calculate o.
-5, 0
Suppose 0 = -7*v - 3*v. Let q(c) be the second derivative of v*c**3 + 0 - 1/12*c**4 + 0*c**2 - 7/90*c**6 - 12*c - 1/6*c**5. Suppose q(l) = 0. What is l?
-1, -3/7, 0
Let p = -1754156 - -1754158. What is c in -8*c - 2/3*c**p - 22/3 = 0?
-11, -1
Let g(c) be the third derivative of 0*c**4 + 8/3*c**3 + 6*c**2 - 1/2160*c**6 + 0 + 0*c - 1/720*c**5. Let x(f) be the first derivative of g(f). Solve x(s) = 0.
-1, 0
Let t(b) be the second derivative of -b**5/20 - 37*b**4/12 - 323*b**3/6 + 361*b**2/2 - 1069*b. What is d in t(d) = 0?
-19, 1
Let o(u) be the third derivative of -121/48*u**4 + 0*u**3 - 1/240*u**6 + 83*u**2 + 0 + 0*u - 11/60*u**5. What is f in o(f) = 0?
-11, 0
Let n(i) be the second derivative of i**6/30 + 46*i**5/5 - 559*i**4/12 + 187*i**3/3 - 9842*i. Factor n(u).
u*(u - 2)*(u - 1)*(u + 187)
Let x = 7 + -4. Factor -6*u**2 - u - 10*u + 20*u + x*u**2.
-3*u*(u - 3)
Let j(x) = 4*x**2 - 12*x - 20. Let o(m) = -4*m + 3. Let i(k) = -3*k + 2. Let y(c) = -3*i(c) + 2*o(c). Let b(p) = -j(p) + 4*y(p). Factor b(a).
-4*(a - 5)*(a + 1)
Let i(d) = d**3 - 11*d**2 - 15*d - 24. Let u be i(12). Let f be (-890)/4*u/75. Suppose -f*g**5 + 180*g**5 + 0*g**3 - 2*g**3 = 0. Calculate g.
-1, 0, 1
Suppose 9 - 3 = 3*m. Let o(n) = -n**3 - 8*n**2 + 6*n - 13. Let q be o(-9). Suppose 7*j**3 + 20 - q*j**2 - m*j**3 - j**2 = 0. What is j?
-1, 2
Let q(g) = g**3 + 21*g**2 + 42*g + 19. Let l(h) = h. Let o = 3 - -1. Let f(m) = o*q(m) - 12*l(m). Let f(t) = 0. What is t?
-19, -1
Suppose 2*u = -2*x + 10, 3*u - 2*x = -0*x + 5. Factor -4 - 21*h + 28*h + 4 - 8*h**2 + h**u.
h*(h - 7)*(h - 1)
Find o such that -4*o**4 - 150866 + 484*o**3 - 21708*o**2 - 2632467 + 428652*o - 365947 = 0.
27, 40
Suppose -u = -13*n + 9*n + 8, -2*u + 3*n - 1 = 0. Let q(x) be the first derivative of -1/3*x**6 + 4/3*x**3 - 4*x - 8 - 3*x**2 + 2*x**u + 0*x**5. Factor q(r).
-2*(r - 2)*(r - 1)*(r + 1)**3
Let x be (-8100)/(-252) + -33 - 12/(-14). Let 1/3*k**3 - 1/6*k**4 + x + 0*k**2 + 0*k = 0. What is k?
0, 2
Suppose -108*i + 102*i = 0. Let j(u) be the second derivative of 4*u**3 - 13*u + i + 1/4*u**4 + 24*u**2. Factor j(b).
3*(b + 4)**2
Factor 4/3*a**3 - 296/3 + 452/3*a - 160/3*a**2.
4*(a - 37)*(a - 2)*(a - 1)/3
Find t, given that -32/7 + 20/7*t**3 + 92/7*t - 12*t**2 + 4/7*t**4 = 0.
-8, 1
Let w(h) be the first derivative of 1/660*h**6 + 0*h**3 + 0*h - 7/330*h**5 + 0*h**4 + 30 - h**2. Let u(p) be the second derivative of w(p). Factor u(m).
2*m**2*(m - 7)/11
Let b(x) be the second derivative of -x**10/15120 + x**9/4320 - x**8/4480 + x**4/2 - 23*x. Let j(n) be the third derivative of b(n). What is p in j(p) = 0?
0, 3/4, 1
Let n be 2145/(-117) + 18 - -1. Factor n*q + 2/3*q**2 + 0.
2*q*(q + 1)/3
Suppose 3*g - 2*u + 82 = -281, -4*u + 250 = -2*g. Let a = -119 - g. Factor a + 2/3*f**2 + 2/9*f**3 + 4/9*f.
2*f*(f + 1)*(f + 2)/9
Let r be ((-47753)/477)/((-986)/348). Factor -12 + 2*c**2 + r*c.
2*(c + 18)*(3*c - 1)/3
Let s(f) be the first derivative of -29*f**4/8 - 44*f**3/3 - 61*f**2/4 - f + 6270. Factor s(p).
-(p + 1)*(p + 2)*(29*p + 1)/2
Let c(q) = -33*q + 169. Let z be c(5). Determine s, given that 128*s + 5*s**2 - 250*s + 128*s - 2*s**3 - s**z = 0.
-3, -1, 0, 2
Let j be (-392)/(-84)*(-11)/(-308)*12. Solve 1/3*q - 1/3*q**3 - 1/6*q**4 + 1/6*q**j + 0 = 0.
-2, -1, 0, 1
Suppose 0 = 1544*a - 1549*a + 100. Factor 38*q**2 + 4*q**3 + 46*q**2 - 236*q + 48*q**2 - a*q**2 + 120.
4*(q - 1)**2*(q + 30)
Suppose 0 = -a - 57 + 14. Let f be a/(-9) + 14/63. Factor -f*b**2 - 6*b - 160 + 175 - 4*b.
-5*(b - 1)*(b + 3)
Suppose 0 = -2*l + 5*r + 4, 7 = 5*l - 3*r - 3. Suppose -138*q - 15 + 70*q + 73*q - 5*q**3 + 15*q**l = 0. What is q?
-1, 1, 3
Let g(i) be the third derivative of i**6/90 - 4*i**5/15 + 7*i**4/6 + 199*i**3/6 - 20*i**2. Let w(z) be the first derivative of g(z). Solve w(k) = 0.
1, 7
What is k in -22/3*k**2 + 0 + 4/3*k**4 - 5/3*k**3 - 13/3*k = 0?
-1, 0, 13/4
Let q(v) = -5*v**3 - 197*v**2 - 1997*v. Suppose -3*w + 132 = 123. Let x(g) = 5*g**3 + 196*g**2 + 1996*g. Let r(t) = w*x(t) + 4*q(t). Factor r(m).
-5*m*(m + 20)**2
Let t be (-2 + 44/10)/(744/1395). Let v(y) be the first derivative of -12*y + 10 - t*y**2 + y**3. Suppose v(x) = 0. Calculate x.
-1, 4
Let c(r) be the third derivative of 7/330*r**5 - 35*r**2 - 1/660*r**6 - 7/33*r**3 + 1/132*r**4 + 0*r + 0. Factor c(w).
-2*(w - 7)*(w - 1)*(w + 1)/11
Suppose 1262 = -3*n + 12*t - 17*t, 2 = -2*t. Let i = n - -1271/3. Suppose 4*k - 2/3*k**2 + i = 0. What is k?
-1, 7
Suppose 3*j + 14 = -1. Let g be (12 - (-30)/j)/3. Factor 0*z**g + 1/3 - 2/3*z**3 + 2/3*z - 1/3*z**4.
-(z - 1)*(z + 1)**3/3
Let t(i) be the third derivative of -i**8/112 + 2*i**7/35 - 4*i**5/5 + 2*i**4 - 2*i**2 + 59*i. Factor t(n).
-3*n*(n - 2)**3*(n + 2)
Let p(l) = -10*l - 241. Let h be p(-28). Let f be 3/2*((-104)/h + 6). What is a in -4/7*a**4 - 2/7*a**f - 4/7 + 8/7*a**2 - 2/7*a + 4/7*a**3 = 0?
-2, -1, 1
Let v = 1090 - 1885. Let s = 795 + v. Determine l so that 2*l**3 + s + 2*l**2 + 2/3*l + 2/3*l**4 = 0.
-1, 0
Let s be (-1)/((-144)/284) + 13/(-117)*2. Determine g, given that -s*g**3 - 51/4*g**2 + 0 - 7/2*g = 0.
-7, -2/7, 0
Let h(w) be the third derivative of 7/216*w**4 + 0 + 0*w**3 + w**2 + 1/540*w**5 + 6*w. Determine r so that h(r) = 0.
-7, 0
Suppose -114 - 82 = 4*u. Let f be (u + -11)/12 - (-17)/3. Solve 0 + 1/3*g**2 + f*g = 0.
-2, 0
Let o = 327348/11 + -29754. Suppose -243/11 + 9/11*h**4 - 1/11*h**5 + 243/11*h - o*h**2 - 18/11*h**3 = 0. What is h?
-3, 3
Factor -7/2 - 9/2*u**2 - 15/2*u - 1/2*u**3.
-(u + 1)**2*(u + 7)/2
Factor 1/2*r**4 + 401408 + 12849/2*r**2 + 108416*r - 121*r**3.
(r - 128)**2*(r + 7)**2/2
Let s(v) be the first derivative of 5*v**3/3 + 45*v**2/2 - 450*v - 920. What is o in s(o) = 0?
-15, 6
Let b(z) be the second derivative of z**7/168 - z**6/20 + 13*z**5/80 - z**4/4 + z**3/6 + 35*z + 9. Find o, given that b(o) = 0.
0, 1, 2
Let h(f) = 2*f**4 + 8583*f**3 + 9210626*f**2 + 18395517*f + 9193475. Let y(s) = s**3 - s + 1. Let i(k) = -h(k) + 3*y(k). Factor i(b).
-2*(b + 1)**2*(b + 2144)**2
Let g(p) be the