be 15 + ((-40)/(-16))/(520/216368). Suppose 2166/13*r + 2/13*r**3 + p + 114/13*r**2 = 0. What is r?
-19
Let u(r) be the third derivative of 0*r + 0*r**3 - 3/80*r**6 + 44*r**2 + 0 + 1/16*r**4 + 1/20*r**5. What is g in u(g) = 0?
-1/3, 0, 1
Let v(w) be the first derivative of -6 + 98/3*w**6 + 100/3*w**3 + 0*w**2 + 0*w - 84/5*w**5 - 45*w**4. Suppose v(o) = 0. What is o?
-1, 0, 5/7
Let o(w) be the second derivative of -6*w**3 + 0*w**2 - 1/3*w**4 + 4*w - 6. Factor o(g).
-4*g*(g + 9)
Let w(m) be the third derivative of -4/15*m**4 + 0*m**3 + 0 + 7/75*m**5 + 0*m + 222*m**2 + 1/150*m**6. Factor w(n).
4*n*(n - 1)*(n + 8)/5
Let x be (-31)/31 + (-15)/(-1). Let m be -10 - (3 - 184/x). Find f such that -2/7 + 1/7*f**2 + m*f = 0.
-2, 1
Let q = 1853 + -1848. Let g(y) be the first derivative of y**3 - 1/2*y**2 + 1/4*y**4 - 2*y - 1/5*y**q + 11. Factor g(i).
-(i - 2)*(i - 1)*(i + 1)**2
Factor 2/19*g**2 + 504/19 - 134/19*g.
2*(g - 63)*(g - 4)/19
Let t(s) = -s**4 - 33*s**3 + 3*s**2 + 27*s. Let h(l) = -3*l**4 - 100*l**3 + 10*l**2 + 79*l. Let k(n) = 2*h(n) - 7*t(n). Suppose k(j) = 0. Calculate j.
-31, -1, 0, 1
Let f = 12933/26 - 1728/13. Let p = -363 + f. Factor 9/4*l - 3/2 + p*l**2.
3*(l + 2)*(2*l - 1)/4
Let m(j) = -18*j**3 - 270*j**2 + 8976*j + 9243. Let p(v) = -29*v**3 - 405*v**2 + 13464*v + 13864. Let l(z) = -8*m(z) + 5*p(z). Factor l(i).
-(i - 68)**2*(i + 1)
Let t(v) be the first derivative of -49/6*v + 13/18*v**3 + 35/12*v**2 + 124 + 1/24*v**4. Suppose t(w) = 0. What is w?
-7, 1
Let t(w) be the second derivative of -3 + 5/4*w**5 + 35/6*w**3 - 1/6*w**6 - 20*w - 15/4*w**4 - 5*w**2. Find o such that t(o) = 0.
1, 2
Suppose -245414*i = -245403*i - 22. Factor 3/4*s**3 - 45 - 57/4*s**i + 48*s.
3*(s - 15)*(s - 2)**2/4
Let y(z) be the third derivative of z**6/300 - 8*z**5/25 - 562*z**2. Factor y(b).
2*b**2*(b - 48)/5
Let i = -137/36 + 47/12. Let p(v) be the second derivative of 1/60*v**5 + 1/12*v**4 + i*v**3 + 15*v + 0 + 0*v**2. Find b, given that p(b) = 0.
-2, -1, 0
Suppose 3*r + 5*a - 30 = 0, -a = -0 - 6. Let c(q) be the third derivative of 0*q**3 - 1/80*q**6 + 0 + r*q - 30*q**2 + 1/8*q**4 + 1/40*q**5. Factor c(s).
-3*s*(s - 2)*(s + 1)/2
Suppose 2/3 + 22578*k**2 + 637/3*k + 1191016/3*k**4 + 2415740/3*k**3 = 0. What is k?
-2, -1/106
Let p(q) be the third derivative of -q**5/510 - 29*q**4/68 + 178*q**3/51 + 46*q**2 - 7. What is a in p(a) = 0?
-89, 2
Let z(i) be the second derivative of -i**4/54 + 836*i**3/27 - 174724*i**2/9 - 707*i - 2. Factor z(l).
-2*(l - 418)**2/9
Let j(l) be the third derivative of -l**5/60 - 365*l**4/6 - 266450*l**3/3 + 2961*l**2. Factor j(g).
-(g + 730)**2
Let z be 19 - 915/55 - -7*16/(-308). What is o in -8/3*o + 2/9*o**z + 2/9*o**3 + 0 = 0?
-4, 0, 3
Factor 707*a**2 + 601*a**2 + 183*a**4 + 305*a + 96 + 1350*a**3 - 1097*a - 98*a**4 + 158*a**4.
3*(a + 2)*(a + 4)*(9*a - 2)**2
Let z(d) be the first derivative of -d**6/6 - 9*d**5/5 + 33*d**4/4 - 35*d**3/3 + 6*d**2 + 2133. Factor z(f).
-f*(f - 1)**3*(f + 12)
Let s be (420/(-175))/((-2)/(-10)). Let p be (-4 - -7) + (129/s - -9). Find k such that -1/2 + 5/4*k**3 - p*k - 3/4*k**4 + 5/4*k**2 = 0.
-1, -1/3, 1, 2
Let c(p) be the third derivative of -p**5/40 + 43*p**4/8 - 85*p**3/4 - 2*p**2 - 630*p. Solve c(i) = 0.
1, 85
Suppose 35 = 8*p - 5*x, -x = 15*p - 19*p + 7. Let r(u) be the first derivative of 2/3*u**3 + 14 + 0*u**2 + p*u. Solve r(s) = 0 for s.
0
Let c = -10858 - -10872. Let z(i) be the second derivative of -1/30*i**4 + 0 - c*i + 1/15*i**3 + 0*i**2. Factor z(t).
-2*t*(t - 1)/5
Factor 384/5 + 76*j - 4/5*j**2.
-4*(j - 96)*(j + 1)/5
Let s be (-2)/((5 - 1) + (-1408)/330). Let t(n) be the first derivative of 0*n**3 - s*n**2 + 3 + 5/4*n**4 + 10*n. Solve t(a) = 0 for a.
-2, 1
Let i(l) be the third derivative of -l**6/540 + l**5/90 + l**4/12 + 143*l**3/3 + 299*l**2 + 1. Let u(x) be the first derivative of i(x). Factor u(m).
-2*(m - 3)*(m + 1)/3
Let r = 20566/183 - 349256/3111. Factor -r*w**3 - 100/17*w**2 - 98/17*w + 0.
-2*w*(w + 1)*(w + 49)/17
Let x(d) be the first derivative of -d**6/33 - 8*d**5/55 + 2*d**4/11 + 68*d**3/33 + 45*d**2/11 + 36*d/11 - 853. Let x(c) = 0. Calculate c.
-3, -2, -1, 3
Let r = 675993 + -675990. Factor -15/2*u**2 - 29/4*u - 7/4*u**r - 3/2.
-(u + 1)*(u + 3)*(7*u + 2)/4
Suppose -4*k - 58 = -3*x, x + k = 4*x - 64. Solve 22*c**2 + x*c - 15 - 11*c**3 + 6*c**2 + 13*c**3 - 37 = 0.
-13, -2, 1
Let z(j) = -6*j**2 + 1144*j - 3089. Let u(b) = 7*b**2 - 1143*b + 3158. Let o(q) = -11*u(q) - 12*z(q). Determine l so that o(l) = 0.
-233, 2
Let l = 617 - 612. Solve -20 - l*g - 3*g + 3*g - 5*g**2 - 7*g - 8*g = 0.
-2
Let h = 7 - -33. Let k(g) be the second derivative of -3*g + 0*g**4 + 6*g**4 + 39*g**5 - h*g**5 - 8*g**3 - 16*g**2. Factor k(x).
-4*(x - 2)**2*(5*x + 2)
Let a(l) = -36*l + 146. Let d be a(3). Suppose -27*p - d*p = -130. Find w, given that -4*w**5 - 5*w**4 + 19/4*w**2 + 2*w**3 + 1/4 + p*w = 0.
-1, -1/2, -1/4, 1
Let c(o) be the first derivative of -2*o**6/21 - 3*o**5/7 - 2*o**4/7 + 19*o**3/21 + 6*o**2/7 - 4*o/7 + 479. Determine d so that c(d) = 0.
-2, -1, 1/4, 1
Factor 106723*q - 5*q**2 + 3*q**2 - 106925*q.
-2*q*(q + 101)
Let z(b) be the second derivative of b**4/3 - 50*b**3 + 2200*b**2 + 1465*b. Factor z(d).
4*(d - 55)*(d - 20)
Let r = -125/764 + 7987/11460. Let -34/15*m**3 + r*m - 28/5*m**2 - 2/15*m**4 + 112/15 = 0. What is m?
-14, -2, 1
Let k = 18089/48152 + -4/6019. Let x(o) be the first derivative of k*o**2 + 7/12*o**3 + 1/4*o**4 + 0*o - 18. Factor x(v).
v*(v + 1)*(4*v + 3)/4
Let i = -633/4 + 319/2. Let u(a) be the second derivative of 0 - i*a**4 - 6*a**2 + 3/40*a**5 + 17/4*a**3 + 28*a. Factor u(h).
3*(h - 8)*(h - 1)**2/2
Let c(k) be the second derivative of -2/15*k**6 + 0*k**2 - 3/5*k**5 + 35*k - k**4 - 2/3*k**3 + 0. Factor c(t).
-4*t*(t + 1)**3
Let a(u) be the first derivative of u**6/105 + 2*u**5/35 + 2*u**4/21 + 108*u - 113. Let m(t) be the first derivative of a(t). Suppose m(w) = 0. Calculate w.
-2, 0
Suppose 0 = 17*g - 120 - 220. Let x(l) be the first derivative of l**3 - g - 57*l**2 + l - 6 + 55*l**2. Factor x(u).
(u - 1)*(3*u - 1)
Let x(l) be the second derivative of -l**6/60 + l**4/12 + 45*l**2/2 + 23*l - 2. Let d(n) be the first derivative of x(n). Factor d(f).
-2*f*(f - 1)*(f + 1)
Let c(l) = -l**3 + 5*l**2 + 17*l - 18. Let o(g) = g**3 - g + 7. Let d be o(0). Let x be c(d). Factor 788*t - 8*t**4 + 0*t**3 + 2*t**5 + 6*t**x - 796*t + 8*t**2.
2*t*(t - 2)**2*(t - 1)*(t + 1)
Suppose 2*g - 10 = 0, -4*g - 220 = 7*i - 5*i. Let a be (4/10)/((-144)/i). Solve -2/3*k**2 + 0 - a*k**3 + 0*k = 0.
-2, 0
Solve -185/3*r**2 - 187/3 + 1/3*r**3 - 373/3*r = 0.
-1, 187
Let h(c) = -2*c**2 + c - 2. Let s(o) = -6*o**2 + 2*o - 6. Suppose 9*z = -z + 100. Let v(x) = z*h(x) - 3*s(x). Factor v(g).
-2*(g - 1)**2
Find z, given that 0 - 20/3*z**5 + 0*z - 608/3*z**4 - 600*z**2 - 1580*z**3 = 0.
-15, -2/5, 0
Let d(w) be the second derivative of -4*w**6/15 - 54*w**5/5 - 259*w**4/2 - 698*w**3/3 - 168*w**2 + 57*w - 13. Find a such that d(a) = 0.
-14, -12, -1/2
Let l(v) be the third derivative of 0*v + 0 + 124*v**2 - 7/8*v**3 + 1/240*v**5 + 5/24*v**4. Factor l(u).
(u - 1)*(u + 21)/4
Let n(d) = d**3 + d**2 - 6*d. Let l(x) = 3*x**3 - 242*x**2 + 1117*x - 1290. Let b(c) = -l(c) - 2*n(c). Factor b(r).
-5*(r - 43)*(r - 3)*(r - 2)
Determine g so that 8/5*g**3 + 24/5*g - 9/5 - 1/5*g**4 - 22/5*g**2 = 0.
1, 3
Let w(k) = -k - 156 + 354 - 179. Let i be w(17). What is q in -11*q**2 + 2*q**i + 4*q**2 - 5*q = 0?
-1, 0
Let w(k) = -k**2 - 9*k - 18. Let b(a) = 7*a**2 + 29*a + 54. Let u(g) = 4*b(g) + 14*w(g). Factor u(y).
2*(y - 2)*(7*y + 9)
Let z be ((-72)/(-224))/(0 - (-6)/16). Let q = 52284 - 52280. Solve -12/7*a**2 + 0*a**3 - z + 16/7*a + 2/7*a**q = 0.
-3, 1
Let p(f) be the second derivative of 1/30*f**5 - 1/9*f**3 + 0*f**4 + 2*f + 1/6*f**2 + 20 - 1/90*f**6. Factor p(d).
-(d - 1)**3*(d + 1)/3
Suppose -2*a + 5*n = -4, -a - 7*n + 4*n + 2 = 0. Factor -20*p**3 - 16*p**3 - 2*p**5 + 810*p**4 - 16*p - 40*p**a - 824*p**4.
-2*p*(p + 1)*(p + 2)**3
Let f(r) = 331*r**3 - 2*r**2 - 2*r. Let p be f(-1). Let j = -331 - p. Factor -1/4*l**5 + 0 + 0*l + 0*l**2 + j*l**3 - 1/4*l**4.
-l**4*(l + 1)/4
Determine p so that 3/8*p**2 - 3/8 - 1/8*p**3 + 1/8*p = 0.
-1, 1, 3
Let l(j) = 15*j**2 + j - 1. Let y be l(1). Suppose 0 = 89*o - 84*o - y. Factor -1/3 - 