*5 - 1324/17*f + 266/17*f**4 + 258/17*f**3 - 528/17 - 802/17*f**2 = 0.
-132, -1, 2
Let u(o) = -2*o**3 - 16*o**2 - o - 5. Suppose 5*z + 24 + 16 = 0. Let w be u(z). Suppose 3*c + 458*c**4 - 461*c**4 - w*c = 0. What is c?
0
Let f(p) = p**2 + 13*p - 48. Let n be f(5). Let a be 144/60*100/n. Factor 2/7*v**2 + 200/7 - a*v.
2*(v - 10)**2/7
Let d be 1114/198 - ((-14)/(-385)*-5)/(-1). Let c(o) be the second derivative of d*o**2 + 0 + 1/54*o**4 + 14/27*o**3 - 11*o. Determine k so that c(k) = 0.
-7
Factor -10*k**2 + 35*k - 14 - 26 + k**2 + 4*k**2 - 10.
-5*(k - 5)*(k - 2)
Let o(i) be the first derivative of i**5/180 - 11*i**4/36 - 353*i**2/2 + 63. Let d(g) be the second derivative of o(g). Suppose d(f) = 0. What is f?
0, 22
Let f be 282/(-1034) - (6/8 + (-4747)/4620). Let m(t) be the third derivative of -4/21*t**3 + 0*t**4 + 23*t**2 + f*t**5 + 0 + 0*t. Factor m(p).
2*(p - 2)*(p + 2)/7
Determine t, given that -37*t**2 - 11*t**3 + 12*t - 16*t**3 + 5*t**2 + 23*t**3 + 360 = 0.
-6, -5, 3
Solve 0 + 20*d - 103/9*d**4 - 4/9*d**5 - 490/9*d**3 - 197/3*d**2 = 0.
-20, -3, 0, 1/4
Let b be ((-10)/12)/(1560/(-1404)) - 28/48. Factor -97/3*x - b*x**2 - 9409/6.
-(x + 97)**2/6
Let v(p) be the second derivative of -p**5/5 - 14*p**4/3 + 18*p**3 + 360*p**2 + p - 314. Factor v(c).
-4*(c - 4)*(c + 3)*(c + 15)
Suppose 0 = -12*w + 24. Factor 31*l**5 + 9*l - 15*l**3 - 33*l**5 + 7*l**5 - 40*l**w + 10*l**4 - 29*l.
5*l*(l - 2)*(l + 1)**2*(l + 2)
Let h = -818/11 + 12358/165. Let l(a) be the first derivative of -34 + 8/15*a**2 + 1/30*a**4 + h*a + 2/9*a**3. Determine t, given that l(t) = 0.
-2, -1
Let m(t) = t**3 + 4*t**2 + t + 3. Let l be m(0). Let n(k) = -k**3 - 4*k**2 - 3. Let z(u) = -4*u**2 - 2. Let f(j) = l*z(j) - 2*n(j). Solve f(g) = 0.
0, 2
Let d(b) be the third derivative of b**6/60 + 811*b**5/180 + 313*b**4/24 + 67*b**3/9 - b**2 - 1158. Factor d(k).
(k + 1)*(k + 134)*(6*k + 1)/3
Suppose -44*a + 63 = -113. Suppose 7*v - 3*j = 11*v - 24, 2*v + a*j - 22 = 0. Factor -7/6*k**v - 1/3 - 11/6*k - 8/3*k**2.
-(k + 1)**2*(7*k + 2)/6
Let l(w) be the second derivative of w**5/40 - w**4/4 - 2*w + 2803. Factor l(s).
s**2*(s - 6)/2
Let z be 6/4*((-48)/(-9) + -4). Solve 1/6*s - 1/6*s**3 + 1/6 - 1/6*s**z = 0.
-1, 1
Let t(g) = g**3 + 10*g**2 - 7*g - 43. Let h be t(-9). Suppose 51 + 71*r + 5*r**2 - 11 - h*r = 0. Calculate r.
2, 4
Let u(s) be the third derivative of -2/45*s**3 + 17 - 1/150*s**5 + 1/1575*s**7 + 1/36*s**4 - 1/900*s**6 + 0*s + 2*s**2. Find p such that u(p) = 0.
-2, 1
Let w(x) be the third derivative of -1/30*x**5 + 1/4*x**4 + 1 + 6*x**3 - 24*x**2 + 0*x. Factor w(k).
-2*(k - 6)*(k + 3)
Let i = 52 + -98. Let r = -44 - i. Determine q so that -16*q - 2*q**3 - 17*q + 31*q + 4*q**r = 0.
0, 1
Let f be -5 + 170/40 + 1314/216 + 18. Factor -5/3*v**5 + 0 + 20*v**3 + f*v**2 + 10/3*v**4 + 25/3*v.
-5*v*(v - 5)*(v + 1)**3/3
Let a = 378 + -841/2. Let q = -42 - a. Factor q*d + 0 - 1/2*d**2.
-d*(d - 1)/2
Let u(t) = 2*t**2 - 30*t + 55. Let x be u(13). Suppose 13 = 2*d - 3*p, 6*p = -4*d + 11*p + 23. Determine y, given that 3/5*y**x + 9/5*y**d + 0*y + 0 = 0.
-3, 0
Suppose -164953 = -t - 4*s - 164882, 0 = -t + 5*s + 35. Suppose 160/3*z**2 + t + 655/6*z - 5/6*z**3 = 0. Calculate z.
-1, 66
Let a be (-4)/40 - (-255)/50. Suppose a*p - 2*i = 15, -88*p + 84*p + i = -12. Solve 3/8 - 3/4*x**p - 3/4*x**2 + 3/8*x**5 + 3/8*x**4 + 3/8*x = 0.
-1, 1
Let q(a) be the second derivative of -a**7/70 + 6*a**6/25 - 3*a**5/5 - a**4/10 + 21*a**3/10 - 3*a**2 - 4653*a. What is m in q(m) = 0?
-1, 1, 10
Let p(g) be the third derivative of -g**5/60 + 133*g**4/24 - 22*g**3 - 6*g**2 + 112. Factor p(h).
-(h - 132)*(h - 1)
Let b(x) = x**2 + 7*x + 10. Let j be b(-5). Suppose j = 15*v - 19*v + 16. What is q in -8*q**3 + 6*q**2 - 17*q**2 + 7*q**2 - v*q**4 = 0?
-1, 0
Let n = -58 - -62. Let -20*g**3 - 5*g**5 + 9*g + 20*g**2 - 9*g - 20*g**n + 25*g**3 = 0. Calculate g.
-4, -1, 0, 1
Let l(w) be the first derivative of w**5/30 + w**4/6 - 8*w**3/3 + 80*w**2 + 169. Let q(d) be the second derivative of l(d). Let q(j) = 0. What is j?
-4, 2
Let s(y) be the second derivative of y**8/1680 + y**7/630 - y**6/30 - 17*y**4/2 - y - 64. Let a(b) be the third derivative of s(b). Factor a(w).
4*w*(w - 2)*(w + 3)
Let l(f) = -10*f - 3 - 2*f + f + 0*f. Let d be l(-1). Factor -8*i - 11 - d + 2*i**2 + 19.
2*i*(i - 4)
Let f be (-2820)/4512 - 562/(-336). Solve 32/21 + 88/21*b - 2/21*b**5 - 4/21*b**4 + 80/21*b**2 + f*b**3 = 0 for b.
-2, -1, 4
Let b be -6*19/((-399)/154). Factor 30*q + b - 6*q**2 + q**2 - 9.
-5*(q - 7)*(q + 1)
Let v be (-3)/(((-126)/(-4))/((-6)/2)). Let n(m) be the second derivative of 0 - 1/42*m**4 + v*m**2 - 10*m - 1/21*m**3. Let n(g) = 0. Calculate g.
-2, 1
Let h(q) = -2*q**3 - 8*q**2 - q + 8. Let z be h(-1). Factor -4/5*n**4 + 0*n + 0 - 4*n**z - 16/5*n**2.
-4*n**2*(n + 1)*(n + 4)/5
Suppose -4*p + 5*a - 13 = -10, 0 = p + 2*a + 4. Let r be (4/((-40)/25))/p. Factor r*w**4 + 15/4*w**3 + 5/4*w + 0 + 15/4*w**2.
5*w*(w + 1)**3/4
Solve 31*d**3 - 43*d**3 - 1197*d**2 - 21*d**4 + 1233*d**2 - 3*d**5 = 0 for d.
-6, -2, 0, 1
Determine h so that -94/15*h - 2/15*h**3 + 32/5*h**2 + 0 = 0.
0, 1, 47
Factor 48*p**2 - 51*p**2 + 1280 + 812 + 1820 - 966*p.
-3*(p - 4)*(p + 326)
Let r(l) = 8*l**4 + 12*l**3 + 5*l**2 + 3*l - 10. Let f(v) = -3*v**4 - 3*v**3 - 2*v + 2. Let m(j) = -6*f(j) - 2*r(j). Factor m(o).
2*(o - 4)*(o - 1)*(o + 1)**2
Let p(t) = 6*t. Let h(v) = -30*v**2 + 15*v**2 + 7*v**2 + 9*v**2. Let d be -2 - (1 + -6 + 1). Let l(i) = d*h(i) + p(i). Factor l(z).
2*z*(z + 3)
Let x(w) be the third derivative of w**5/15 + 149*w**4/6 + 124*w**2 + 2. Factor x(r).
4*r*(r + 149)
Suppose -8*f - 516 = -10*f. Factor 5*c**3 - 505 + 257 - 15*c + f.
5*(c - 1)**2*(c + 2)
Let k(t) be the first derivative of -4*t**5/5 - 192*t**4 - 503*t**3 + 2087*t**2/2 - 570*t - 3073. Solve k(r) = 0.
-190, -3, 1/2
Let a(w) = 15076*w + 60304. Let b be a(-4). Factor b*n**2 + 0*n + 8/5*n**4 - 4/5*n**3 + 0 - 4/5*n**5.
-4*n**3*(n - 1)**2/5
Let o(x) be the third derivative of x**7/210 + 29*x**6/120 + 9*x**5/10 + 614*x**2. Factor o(w).
w**2*(w + 2)*(w + 27)
Let z(k) be the first derivative of k**5/150 - k**4/15 + 17*k**2 + 2*k + 180. Let v(a) be the second derivative of z(a). Factor v(c).
2*c*(c - 4)/5
Suppose 0 = -35*j + 38*j - 18. Suppose j*p - 1 = 11. Factor -4*f**3 - 4*f**p + 4*f**4 + 0*f**4 - 44 + 44 + 4*f.
4*f*(f - 1)**2*(f + 1)
Let n = -61/40 + -1553/1080. Let j = 10/27 - n. Factor j*t + 8/3 + 2/3*t**2.
2*(t + 1)*(t + 4)/3
Let s be -14 - ((-47)/3 + -4)/1. Factor s + 5*k**2 - 11*k + 1/3*k**3.
(k - 1)**2*(k + 17)/3
Determine w, given that 201*w**3 + 9107*w + 864 + 1056*w**2 + 3*w**4 - 7271*w + 9*w**4 = 0.
-8, -6, -2, -3/4
Let i(n) be the second derivative of 5/8*n**3 - 9/4*n**2 + 3/16*n**4 - 71*n + 0 - 3/40*n**5. Suppose i(g) = 0. What is g?
-3/2, 1, 2
Determine i so that 3388/3 + 110*i + 2/3*i**2 = 0.
-154, -11
Let o(y) = -108*y**3 + 111*y**2 + 195*y + 60. Let p(b) = -94*b**3 + 111*b**2 + 194*b + 59. Let h(a) = 5*o(a) - 6*p(a). Factor h(w).
3*(w - 6)*(w + 1)*(8*w + 3)
Let b(p) be the second derivative of -p**5/105 + 2*p**3/21 + 7*p**2/2 - 8*p + 3. Let t(o) be the first derivative of b(o). Find u, given that t(u) = 0.
-1, 1
Determine m so that -2/7*m**2 + 30/7*m - 72/7 = 0.
3, 12
Suppose 2*p - 4 = -2*t, 3 = 4*p - 4*t - 5. Factor 2*r**2 + p*r**2 + 152*r - 11*r + 116 - 21*r.
4*(r + 1)*(r + 29)
Let o be 75/24 + (36 - 39). Let n(u) be the second derivative of o*u**3 + 0 - 5/112*u**7 + 13*u + 1/32*u**4 - 13/80*u**6 + 0*u**2 - 27/160*u**5. Factor n(p).
-3*p*(p + 1)**3*(5*p - 2)/8
Let j(i) be the second derivative of -i**8/560 - i**7/420 - i**6/1080 - i**3/6 + 3*i**2 + 2*i - 41. Let z(w) be the second derivative of j(w). Factor z(u).
-u**2*(3*u + 1)**2/3
Let y be (72/21 + -4)/((-16155)/63). Let g = 1783/5385 + y. Factor -1/6*n**4 + g*n**3 + 2/3*n + 0 + 7/6*n**2.
-n*(n - 4)*(n + 1)**2/6
Suppose -15*y = -12*y - c - 1, -1 = 2*y - c. Let r(p) be the first derivative of 4/3*p**3 + 40*p**y + 400*p + 35. What is a in r(a) = 0?
-10
Solve -2/7*n**3 - 158/21*n**2 + 0*n + 0 = 0 for n.
-79/3, 0
Let a(j) be the first derivative of -j**3/12 + 19*j**2/8 - 12*j + 3863. Factor a(s).
-(s - 16)*(s - 3)/4
Let q = 11877 - 11871. Let o(p) be the first derivative of -1/18*p**q + 1/6*p**2 - 2/15*p**5 + 0*p + 2/9*p**3 - 3 + 0*p**4. 