vative of 21*t**5/20 - 53*t**4/2 + 9*t**3/2 + 135*t**2 + 3108*t. Suppose n(f) = 0. Calculate f.
-6/7, 1, 15
Factor -13924 - 97*l - 6718*l**2 + 118*l**3 - 375*l + 2*l**4 + 10195*l**2 - l**4.
(l - 2)*(l + 2)*(l + 59)**2
Let r(f) = f**2 + 34*f - 2110. Let k be r(-66). Factor 1/6*d**5 - 1/2*d**3 - 2/3*d**k + 1/3*d**4 + 2/3*d + 0.
d*(d - 1)**2*(d + 2)**2/6
Let n(s) be the second derivative of -s**6/30 + 7*s**5/20 + 53*s**4/12 + 27*s**3/2 + 18*s**2 + 346*s + 6. Factor n(c).
-(c - 12)*(c + 1)**2*(c + 3)
Let i(t) be the second derivative of 15/8*t**4 + 13/6*t**3 + 0*t**2 + 0 - 1/8*t**5 + 1/288*t**6 - 11*t. Let g(r) be the second derivative of i(r). Factor g(o).
5*(o - 6)**2/4
Let b = 25579/6 - 4259. Let k(v) be the second derivative of -b*v**3 - 5/12*v**4 - 5*v - 10*v**2 + 0. Determine f so that k(f) = 0.
-4, -1
Let r(k) be the third derivative of 4*k + 0 + 0*k**3 - 2/105*k**7 + 2*k**2 + 1/15*k**5 + 1/90*k**6 - 1/18*k**4. Find m, given that r(m) = 0.
-1, 0, 1/3, 1
Determine l, given that -82*l**2 + 1942/5*l - 92 + 8/5*l**3 = 0.
1/4, 5, 46
Let z(f) = 10*f**4 - 9*f**3 - 10*f**2 + 2*f - 7. Let u(x) = x**4 - x**3 - x**2 - 1. Let i be ((-2)/6)/(0 - 1/9). Let w(n) = i*z(n) - 21*u(n). Factor w(d).
3*d*(d - 1)*(d + 1)*(3*d - 2)
Suppose 9*m = -41 - 31. Let w be (m/(-3))/(1*8/4). Factor -4/3*i**2 + 4/3*i - 4/3*i**3 + w.
-4*(i - 1)*(i + 1)**2/3
Let r(w) be the first derivative of -30*w**2 + w**5 + 65/3*w**3 - 15/2*w**4 + 20*w - 45. Factor r(v).
5*(v - 2)**2*(v - 1)**2
Factor 0 - 916/5*v + 2/5*v**2.
2*v*(v - 458)/5
Let o(r) be the first derivative of 832*r**2 + 81/2*r**4 + 1266*r**3 + 184*r + 105. Suppose o(l) = 0. Calculate l.
-23, -2/9
Let r(p) = -140*p**2 - 75*p + 3205. Let d(y) = y**3 + 210*y**2 + 113*y - 4807. Let z(g) = -5*d(g) - 7*r(g). Factor z(f).
-5*(f - 4)*(f + 8)*(f + 10)
Let f(s) = s**3 - 23*s**2 - 122*s - 174. Let x(p) = -p**3 + 21*p**2 + 121*p + 175. Let t(b) = 5*f(b) + 6*x(b). Factor t(a).
-(a - 18)*(a + 2)*(a + 5)
Suppose -134*y + 1007 - 739 = 0. Let w(h) be the third derivative of -1/12*h**5 - 5/12*h**4 + 0*h - 5/6*h**3 + 0 + 27*h**y. Factor w(o).
-5*(o + 1)**2
Suppose -6*l**2 + 7*l**2 + 50*l - 47*l + 2 = 0. Calculate l.
-2, -1
Suppose i = 4, i + i - 14 = 3*q. Let h be ((-20)/8 - q)*(-6)/1. Factor -45*f + 178*f**h + 1 - 75*f**2 - 53*f**3 - 6.
5*(f - 1)*(5*f + 1)**2
Let z = 5669 + -5666. Let b(q) be the first derivative of 17 + 1/4*q**2 - 1/4*q**z + 1/20*q**5 + 0*q**4 + 0*q. Factor b(k).
k*(k - 1)**2*(k + 2)/4
Suppose -y = 4*h + 304, -y + 0*y + 228 = -3*h. Let q = h + 78. Factor -25 - 2*w + 22*w - 4*w**2 + 3*w**q + 6*w**2.
5*(w - 1)*(w + 5)
Let c(k) be the first derivative of -2*k**3/11 + 72*k**2/11 + 486*k/11 - 723. Factor c(n).
-6*(n - 27)*(n + 3)/11
Factor -5202/7*q + 0 + 2397/7*q**2 + 100/7*q**3 + 1/7*q**4.
q*(q - 2)*(q + 51)**2/7
Let d = -38 - -1867. Let m = d - 1827. Factor 2/3 - i + 1/3*i**m.
(i - 2)*(i - 1)/3
Suppose 8/9*q + 2/9*q**2 + 2/3 = 0. Calculate q.
-3, -1
Let k = -808 - -813. Suppose 0 = 4*y - k*n + 20, -2*n + 12 = n. Find i, given that -1/2*i**5 - i**4 + 0 + 0*i + y*i**2 - 1/2*i**3 = 0.
-1, 0
Let b(t) be the second derivative of -5*t**7/126 - t**6/15 + 3*t**5/4 + 17*t**4/18 - 14*t**3/3 - 12*t**2 + 4*t - 102. Solve b(f) = 0 for f.
-3, -6/5, -1, 2
Suppose 25 = -25*y + 100. Let t(v) be the second derivative of -2/33*v**y - 23*v + 0*v**2 - 1/66*v**4 + 0. Suppose t(k) = 0. What is k?
-2, 0
Factor -144 + 12*l**3 - 45*l**2 - 1048*l + 97*l**2 + 816.
4*(l - 7)*(l + 12)*(3*l - 2)
Suppose 2*o - 9 = 13. Let l be 156/(-1716) + 23/o. Solve 0*q + 0 - 3/2*q**l = 0.
0
Let r = -120 + 168. Suppose -4*x + r + 16 = 0. Determine s so that 27 - 15*s**2 - x + 9 + 5*s**3 = 0.
-1, 2
Let y(x) be the first derivative of 2/51*x**3 - 29 + 512/17*x - 32/17*x**2. Solve y(f) = 0.
16
Let p(r) be the second derivative of -r**6/30 + 293*r**5/100 - 2321*r**4/30 + 4928*r**3/15 + 2352*r**2/5 + 14*r + 46. Let p(v) = 0. Calculate v.
-2/5, 3, 28
Let j(d) be the first derivative of 1/2*d**3 + 1/4*d**4 + 1/20*d**5 - 2*d - 3 + 1/2*d**2. Let r(f) be the first derivative of j(f). Suppose r(l) = 0. What is l?
-1
Solve 29/2*f - 39 - 1/2*f**2 = 0.
3, 26
Let m(z) be the second derivative of 1/30*z**5 - 1/9*z**3 - 3*z - 2 - 1/27*z**4 + 2/9*z**2. Let m(q) = 0. Calculate q.
-1, 2/3, 1
Let w be ((-2)/(-8))/(17/(-136)). Let n be (-1)/(-2 - 3/w). What is k in 2/13*k**4 + 0*k**n + 0 - 8/13*k + 6/13*k**3 = 0?
-2, 0, 1
Let n = 5053/10114 - -2/5057. Let x(l) be the first derivative of -1/6*l**3 + 27 + 3/2*l + n*l**2. Solve x(i) = 0 for i.
-1, 3
Let d = -465 + 471. Suppose -25 = d*x - x, 3 = 2*q + x. Determine r, given that -26/9*r**3 - 2/9*r**2 + 4/9*r - 4/3*r**q + 0 = 0.
-2, -1/2, 0, 1/3
Let i(x) = -8*x + 73. Let j be i(9). Let p be 9 - (j - -2) - 2. Suppose 11*v**4 - 11*v**p + 5*v**4 + 5*v**5 = 0. Calculate v.
-1, 0
Let i be (5 - (10 + 1))/(3/2). Let j(f) = 40*f**2 - 15*f + 85. Let x(b) = -3*b**2 + b - 6. Let g(z) = i*j(z) - 55*x(z). Factor g(p).
5*(p - 1)*(p + 2)
Let h(r) be the second derivative of -3*r**6/85 + 9*r**5/17 - 209*r**4/102 + 48*r**3/17 - 28*r**2/17 + 1077*r - 4. Determine z, given that h(z) = 0.
1/3, 2/3, 2, 7
Let s(v) be the second derivative of v**6/900 + v**5/225 - 2*v**4/15 - 50*v**2 - 92*v. Let a(z) be the first derivative of s(z). Find p, given that a(p) = 0.
-6, 0, 4
Let y(d) = -3*d**2 + 19*d + 14. Suppose z - 838 + 834 = 0. Let t(p) = 35*p**2 - 210*p - 155. Let w(k) = z*t(k) + 45*y(k). Factor w(m).
5*(m + 1)*(m + 2)
Let u(w) be the second derivative of w**5/110 + 7*w**4/11 + 196*w**3/11 + 107*w**2/2 + 8*w - 6. Let r(g) be the first derivative of u(g). Factor r(k).
6*(k + 14)**2/11
Let d(i) be the third derivative of i**6/780 + 181*i**5/390 - 123*i**4/52 - 183*i**3/13 + 2*i**2 - 339. Determine h, given that d(h) = 0.
-183, -1, 3
Let s(u) be the first derivative of 2/7*u**3 - 2/7*u**4 + 9/7*u**2 + 4/7*u - 299. Solve s(h) = 0 for h.
-1, -1/4, 2
Let w(i) = -26*i**2 + i**2 - i - i**3 + 15*i**2 - 4. Let o be w(-10). Factor -3*b + 11*b**3 + o*b**2 + 0*b**2 - 8*b**3 - 7*b**4 + b**4.
-3*b*(b - 1)*(b + 1)*(2*b - 1)
Suppose 189*p = 190*p - 34. Let w be 15/60 - 11/(-4). Suppose -24*s - p*s**3 - 13*s**4 - 44*s**2 + 10*s**w + 9*s**4 = 0. Calculate s.
-3, -2, -1, 0
Let s(o) be the first derivative of o**6/1800 - o**5/100 - 7*o**4/120 - o**3 - 3*o**2 + 141. Let c(a) be the third derivative of s(a). Factor c(f).
(f - 7)*(f + 1)/5
Let l(q) be the first derivative of 2*q**5/5 + 12*q**4 - 18*q**3 - 50*q**2 - 1295. Determine w so that l(w) = 0.
-25, -1, 0, 2
Suppose 5*k + 2*c - 14 = 0, -4*c = 7*k - 9*k - 4. Suppose -x + 2*x = 3. Factor 19*t**2 - k*t**x + 4*t**3 - 19*t**2.
2*t**3
Factor -60463 - 161*v**4 + 879 + 296*v**3 + 15633*v + 40045*v + 7092*v**2 - 3486*v + 165*v**4.
4*(v - 1)*(v + 19)*(v + 28)**2
Let w = -722 + 719. Let m be 104/(-13) + (-33)/w. Factor -8/9*a**4 + 2/9*a**2 + 0*a + 0 - 2/3*a**m.
-2*a**2*(a + 1)*(4*a - 1)/9
Let x(n) be the third derivative of -n**5/15 + 913*n**4/6 + 1220*n**3 - 3*n**2 - 138*n - 1. Let x(u) = 0. What is u?
-2, 915
Let s(t) be the first derivative of 2*t**3/3 - 148*t**2 + 10952*t - 842. Determine m so that s(m) = 0.
74
Let m(s) be the second derivative of s**7/168 - s**6/24 + 5*s**4/12 - 2*s**3/3 + s + 1282. Determine p, given that m(p) = 0.
-2, 0, 1, 2, 4
Let w(t) be the first derivative of 2*t**3/33 - 9*t**2/11 + 28*t/11 + 1506. Factor w(g).
2*(g - 7)*(g - 2)/11
Let m = 48 - 42. Suppose -3*k + m = -k. Factor -24*i + 14*i**k - 4*i**3 + 0*i**3 - 20*i**2 - 6*i**3.
4*i*(i - 6)*(i + 1)
Factor -1060 - 1020 - s**2 + 30*s + 2979 - 1043.
-(s - 24)*(s - 6)
Let z(j) be the second derivative of -10*j**2 - 1/6*j**6 - 10*j**3 - 5*j - 3/2*j**5 - 65/12*j**4 - 4. Factor z(n).
-5*(n + 1)**2*(n + 2)**2
Let t(p) be the first derivative of -p**6/3 - 88*p**5/45 - 38*p**4/9 - 4*p**3 - 11*p**2/9 + 4*p/9 + 12286. Determine q, given that t(q) = 0.
-2, -1, 1/9
Let q(u) = u**2 + 2*u + 5. Let y be q(0). Suppose 5*k + 5 = -l, -33 = -y*l + 7*k - 3*k. Suppose 10*s**3 + l*s**3 + 4*s**3 - 15*s**3 - 8*s**2 = 0. What is s?
0, 2
Suppose 10*o + 35 - 85 = 0. Factor -31*m - 4*m**2 - o*m - 3*m**2 + 11*m**2.
4*m*(m - 9)
Let x(s) be the third derivative of s**6/900 + 4*s**5/225 + 7*s**4/60 + 2*s**3/5 + s**2 - 476*s. Find h such that x(h) = 0.
-3, -2
Let v(u) be the second derivative o