Calculate h.
1, 2, 4
Let m be (4/5)/((-6)/(-45)). Let h be 0*(6*16/192)/(1/(-2)). Suppose h + 5/2*i**5 - i**2 - m*i**4 + 9/2*i**3 + 0*i = 0. Calculate i.
0, 2/5, 1
Let z(h) be the second derivative of h**4/20 + 597*h**3/10 + 1232*h. Factor z(d).
3*d*(d + 597)/5
Let p(a) be the third derivative of a**7/210 - 43*a**6/480 + 113*a**5/240 - 53*a**4/96 - 7*a**3/8 + 98*a**2 + 3*a. Determine j, given that p(j) = 0.
-1/4, 1, 3, 7
Let r(v) be the first derivative of -209 + 3*v + 2*v**2 + 1/3*v**3. Find p, given that r(p) = 0.
-3, -1
Suppose -243*j + 6827 = 2091*j - 2509. Find k, given that 18/7*k - 57/7*k**3 + 0 - 57/7*k**2 - 12/7*k**j = 0.
-3, -2, 0, 1/4
Let g be (90/1053)/(-15 - 3300/(-216)). Find l, given that -22/13*l - 10/13*l**2 - g = 0.
-2, -1/5
Let q(t) be the second derivative of t**6/30 - 49*t**5/10 + 127*t**4/4 - 236*t**3/3 + 94*t**2 - 5574*t. Factor q(l).
(l - 94)*(l - 2)*(l - 1)**2
Suppose 33*k = 13*k - 76 + 76. Let a(z) be the second derivative of 1/3*z**3 - 6/7*z**2 + 6*z - 1/42*z**4 + k. Factor a(b).
-2*(b - 6)*(b - 1)/7
Factor 4602*k - 90 + 450 - 4494*k - 4*k**2.
-4*(k - 30)*(k + 3)
Let s = 543695/63964 - 1/63964. Suppose -s*o**4 + 73/2*o**2 + 2*o**5 - 16*o**3 + 32*o - 10 = 0. Calculate o.
-2, -1, 1/4, 2, 5
Suppose 48 - 42 = 3*y. Suppose 17*a**2 + 9*a**3 + 12*a**y + 2 + 46*a**2 + 88*a + 26 = 0. What is a?
-7, -2/3
Let m = -4818 + 19277/4. Let n(z) be the first derivative of 0*z - 7 + 0*z**2 - m*z**4 + 10/3*z**3. Find k, given that n(k) = 0.
0, 2
Let p(a) be the first derivative of a**3/9 + 165*a**2/2 - 496*a/3 - 7653. Factor p(i).
(i - 1)*(i + 496)/3
Let a(y) be the first derivative of -5*y**6/6 + 54*y**5 - 1360*y**4 + 16350*y**3 - 178875*y**2/2 + 135000*y - 7905. Factor a(l).
-5*(l - 15)**3*(l - 8)*(l - 1)
Let h(n) be the first derivative of -n**5/5 + n**4 + 44*n**3/3 - 48*n**2 - 94*n - 17. Let g(l) be the first derivative of h(l). Factor g(d).
-4*(d - 6)*(d - 1)*(d + 4)
Let s(x) be the third derivative of -x**9/3780 + x**8/70 + 6*x**4 + 10*x**2 - 2*x. Let p(j) be the second derivative of s(j). Factor p(n).
-4*n**3*(n - 24)
Let w = 117 + -228. Let h = w + 114. Solve 11*k - 69*k + 2*k + 16*k**3 + h*k**4 - 12*k**2 - 32 + k**4 = 0.
-4, -1, 2
Factor 108/13*b**2 + 2/13*b**3 - 978/13*b + 868/13.
2*(b - 7)*(b - 1)*(b + 62)/13
Let f be 15/11 + 4743775/471317. Solve 0 + 34/7*r**4 + f*r**2 - 8/7*r - 106/7*r**3 = 0.
0, 2/17, 1, 2
Let c = 21843074/17 + -1282607. Let k = -2279 + c. Factor -16/17 + k*q - 2/17*q**2.
-2*(q - 4)*(q - 2)/17
Let z be ((-34)/16)/((-4)/(-80))*-18. Suppose -z = -4*t - 5*t. Solve 3*k**5 - 8*k**5 - t*k**2 + 25*k**4 - 40 + 134*k - 24*k - 45*k**3 + 40*k**3 = 0.
-2, 1, 4
Suppose -4*u - 2363 = 5*p, 0*u + 5*p = -2*u - 1179. Let r = u + 847. Solve v**3 + 247*v**4 + 7*v**3 - r*v**4 + 2*v**5 = 0 for v.
0, 2
Let c(p) = 2*p**2 + p + 1. Let z = -111 + 113. Let d(i) = -8*i**2 - 17*i + 13. Let n(k) = z*d(k) + 6*c(k). Suppose n(l) = 0. Calculate l.
-8, 1
Let b be ((-5928)/(-1710))/((-28)/(-693)). Solve 363/5*x**2 - 3/5*x**5 + 0*x + 0 - b*x**3 + 69/5*x**4 = 0 for x.
0, 1, 11
Let t be ((2 + 78)*(-2)/(-5))/(-2). Let o be 12*6/27*(-12)/t. Suppose 13/3*g**o + 0 + 2/3*g = 0. What is g?
-2/13, 0
Let k(j) be the first derivative of 15/8*j**2 + 48 + 0*j + 1/12*j**3. Determine q so that k(q) = 0.
-15, 0
Suppose 3*t + 24 = 4*n, 30 = -5*t - 142*n + 147*n. Factor t*i + 1/2*i**2 - 9/2.
(i - 3)*(i + 3)/2
Let r(y) be the third derivative of -y**6/60 + 229*y**5/60 - 557*y**4/24 - 56*y**3 + 5441*y**2. Factor r(i).
-(i - 112)*(i - 3)*(2*i + 1)
Let p(w) be the first derivative of 1/6*w**3 + 0*w - 87 + 1/8*w**4 + 0*w**2. Solve p(u) = 0 for u.
-1, 0
Let l(q) be the third derivative of 8/45*q**5 + 0 + 20/9*q**3 + 66*q**2 + 0*q + 1/90*q**6 - 19/18*q**4. Find w, given that l(w) = 0.
-10, 1
Solve -29*q**2 + 142364*q**4 - 15*q**2 - 101*q**2 + 142*q**3 + 30*q - 142399*q**4 + 8*q**3 = 0.
0, 2/7, 1, 3
Let c(t) = -3*t**3 - 68*t**2 - 1452*t - 10646. Suppose z = 11*z - 90. Let d(p) = -13*p**3 - 273*p**2 - 5808*p - 42583. Let n(m) = z*c(m) - 2*d(m). Factor n(b).
-(b + 22)**3
Let b(i) be the third derivative of -i**5/160 + 421*i**4/32 - 177241*i**3/16 - 5905*i**2. Factor b(u).
-3*(u - 421)**2/8
Let w be (2844/(-553))/((-2)/7). Let x(y) be the second derivative of 3/190*y**5 - 1/19*y**3 - 1/114*y**4 + 0*y**2 + 1/285*y**6 + 0 - w*y. Factor x(u).
2*u*(u - 1)*(u + 1)*(u + 3)/19
Let d(m) be the third derivative of 1/6*m**5 + 0 + 1/24*m**6 - 25/24*m**4 + 0*m - 5*m**3 + 72*m**2. Solve d(g) = 0 for g.
-3, -1, 2
Let m(w) be the first derivative of 49/2*w**4 - 48*w - 164*w**2 - 41 - 532/3*w**3. Factor m(u).
2*(u - 6)*(7*u + 2)**2
Let r(o) be the second derivative of o**5/90 + o**4/18 + o**3/9 - 71*o**2/2 + 176*o. Let t(f) be the first derivative of r(f). Factor t(x).
2*(x + 1)**2/3
What is r in 6387*r - 23215*r**2 + 2400*r**3 - 112*r**4 + 47*r**4 + 12137*r + 736*r + 1620 = 0?
-1/13, 1, 18
Let x(c) be the first derivative of 2*c**6/3 + 256*c**5/5 + 954*c**4 - 3168*c**3 - 6534*c**2 - 4530. Determine n so that x(n) = 0.
-33, -1, 0, 3
Factor -334/5 + 334/5*i**2 - 2/5*i + 2/5*i**3.
2*(i - 1)*(i + 1)*(i + 167)/5
Solve -8202*f**4 + 111*f + 4107*f**4 + 4099*f**4 - 96 + 61*f - 52*f**2 - 28*f**3 = 0.
-3, 1, 8
Let h = -684 + 685. Factor 15*n**4 + 21*n**2 - 7 - n - h + 0*n + 41*n**2 - 3*n + 61*n**3.
(n + 2)**2*(3*n - 1)*(5*n + 2)
Factor 1170*o - 2288 + 557*o + 5565*o - 773*o - 528*o**2 - 12841 + 12*o**3.
3*(o - 3)*(2*o - 41)**2
Let l = -103 - -54. Let m be l/(-5) - (10 + -5 - 3). Factor m*z**2 - 3*z - 21/5*z**3 - 3/5.
-3*(z - 1)**2*(7*z + 1)/5
Suppose 4*d + 5*k = 581 - 142, 5 = -5*k. Let -8*r**2 + 8*r**2 + 4*r**2 + 48 - d*r + 79*r = 0. What is r?
2, 6
Let s = 172909/420 - 143/140. Let u = 411 - s. What is a in 0*a**2 - u*a**4 + 0 + 0*a**3 + 0*a = 0?
0
Let m(p) be the first derivative of -46 - 864*p - 576*p**2 + 63/4*p**4 - 74*p**3 - 3/5*p**5. Factor m(j).
-3*(j - 12)**2*(j + 1)*(j + 2)
Let a(z) be the second derivative of z**4/66 + 106*z**3/33 + 105*z**2/11 + 21*z + 19. Find q such that a(q) = 0.
-105, -1
Let s(u) = -26*u - 24. Suppose -3*k - 2*k + j - 8 = 0, -k - 4 = j. Let l(x) = x**2 - 53*x - 49. Let a(d) = k*l(d) + 5*s(d). Suppose a(i) = 0. What is i?
-11, -1
Let w(o) = 3*o**2 - 2*o + 1. Let t be 2/((-8)/(-1 - -17)). Let s(f) = -3*f**2 + 154*f + 28. Let j(m) = t*w(m) - s(m). What is h in j(h) = 0?
-16, -2/9
Let f(i) = -159*i - 12. Let s be f(-1). Solve -11*p**2 - 5*p - 45*p**3 + 44*p**3 + 4*p - 6*p + s = 0.
-7, 3
Let s(a) = 39*a - 218. Let u be s(7). Suppose -4*l + u = 39. Factor -4/9*n**l - 20/9*n**3 - 28/9*n - 4*n**2 - 8/9.
-4*(n + 1)**3*(n + 2)/9
Let o(s) be the first derivative of s**4/4 + 6*s**3 + 71*s**2/2 - 90*s + 1435. Determine m so that o(m) = 0.
-10, -9, 1
Let w(h) be the third derivative of h**7/1260 + h**6/90 - 7*h**5/20 - 31*h**4/8 - h**3/3 + 4*h**2 + 15. Let t(l) be the second derivative of w(l). Factor t(n).
2*(n - 3)*(n + 7)
Suppose -28*x - 13290 = -13*x. Let m = -884 - x. Find t such that 0 - 1/2*t**3 + 5/2*t**m + 0*t = 0.
0, 5
Let n(f) = f**3 + 9*f**2 - 4*f + 43. Let l be n(-11). Let k be (l/93)/(4/(-3)). Factor k - 1/4*j**2 + j.
-(j - 5)*(j + 1)/4
Factor 39/8*c**2 - 99/8 + 57/8*c + 3/8*c**3.
3*(c - 1)*(c + 3)*(c + 11)/8
Factor 275*m + 27*m**2 + 45 - 184*m**2 + 350*m**3 - 735*m**3 - 128*m**2 + 350*m**3.
-5*(m - 1)*(m + 9)*(7*m + 1)
Suppose -5/4*h**2 - 415 - 435/4*h = 0. Calculate h.
-83, -4
Suppose -787 + 160*j**3 - 109 + 244*j**2 + 157*j**2 - 74*j**4 - 512*j + 199*j**2 + 99*j**5 - 117*j**5 = 0. What is j?
-4, -28/9, -1, 2
Let y(r) be the third derivative of r**6/40 + 137*r**5/10 + 3689*r**4/8 + 6370*r**3 + 16*r**2 + 17*r. Factor y(n).
3*(n + 7)**2*(n + 260)
Let j(y) = -3*y**3 + 85*y**2 - 576*y + 857. Let h(f) = 127*f**3 + 126*f**3 + 280 + 6 - 254*f**3 - 192*f + 28*f**2. Let l(t) = 7*h(t) - 2*j(t). Factor l(p).
-(p - 12)**2*(p - 2)
Let h be 3/6 - (-41019)/(-66). Let w = 623 + h. Factor o**w - 2/3*o - 1/3*o**3 + 0.
-o*(o - 2)*(o - 1)/3
Let d(h) be the third derivative of -h**6/200 - 39*h**5/100 - 19*h**4/20 + 231*h**2 - h + 5. Determine s so that d(s) = 0.
-38, -1, 0
Let k = -1775 - -1776. Let w be k/((-19)/(-59)) - (-748)/(-7106). Find s such that w*s**2 + 1/2*s**3 + 6*s + 4 = 0.
-2
Let o(g) = 70*g**4 - 14*g**3 - 82*g**2 + 182*g - 92. Let f(x) = -22*x**4 + 5*x**3 + 27