 1)*(y + 5)
Let g = -21/946 + 3623/141900. Let s(k) be the third derivative of -14*k**2 + g*k**5 + 24/5*k**3 - 1/5*k**4 + 0 + 0*k. Let s(f) = 0. Calculate f.
12
Let n be 168/532 - (-18)/(-57). Let m(k) be the second derivative of -9/28*k**4 + 18*k - 3/14*k**2 + n + 3/7*k**3. Find s, given that m(s) = 0.
1/3
Let c be 8653*(-4)/(-12818) - (0 + (-6)/87). Factor 8/13*j**3 + 54/13*j**2 + 0 + c*j.
2*j*(j + 6)*(4*j + 3)/13
Let t(r) be the first derivative of -r**2/2 - r - 23. Let o(j) = -2*j**2 - 19*j - 57. Let s(k) = o(k) + 3*t(k). Factor s(c).
-2*(c + 5)*(c + 6)
Let u(h) be the second derivative of -5*h**7/77 + 49*h**6/165 + 317*h**5/110 + 161*h**4/22 + 26*h**3/3 + 56*h**2/11 - 4190*h. Determine b, given that u(b) = 0.
-4/3, -1, -2/5, 7
Suppose 4*d + 6 = 26. Suppose z = -3*g + 41, -2*z - z - 5*g = -119. Factor 8*y**2 + d*y**3 - 6*y**2 + z*y**2 - 272*y + 352*y.
5*y*(y + 4)**2
Let x(h) be the first derivative of -h**4/32 - 29*h**3/24 + 33*h**2/4 - 1831. Let x(c) = 0. Calculate c.
-33, 0, 4
Let b(z) be the second derivative of 2*z**7/21 + 8*z**6/15 - 19*z**5/5 + 14*z**4/3 + 14*z - 15. Factor b(w).
4*w**2*(w - 2)*(w - 1)*(w + 7)
Let w(k) be the third derivative of -k**7/135 + 101*k**6/135 + 58*k**5/135 - 3457*k**2 + k. Solve w(c) = 0.
-2/7, 0, 58
Let p = -4812 - -4815. Let d(w) be the first derivative of 2/25*w**5 + 6/5*w**p + 3/5*w**4 - 10 - 24/5*w - 4/5*w**2. What is j in d(j) = 0?
-3, -2, 1
Let x(b) be the first derivative of 6*b**5/5 - 35*b**4/2 - 8*b**3 - 1059. Factor x(g).
2*g**2*(g - 12)*(3*g + 1)
Suppose q = -2*j + 2, j + 4*q - 2 = -8. Suppose 2 = 4*d + j*z, 5*d - 5*z - 19 = 3*d. Suppose 2/23*a**d - 2/23*a**4 + 0 + 2/23*a**3 - 2/23*a = 0. Calculate a.
-1, 0, 1
Factor -1/2*l**3 - 76 - 79/2*l**2 - 115*l.
-(l + 1)*(l + 2)*(l + 76)/2
Let j be (-14880)/(-238) - (-732)/(-2562). Solve -j - 2/17*x**2 + 92/17*x = 0.
23
Let s be (25/(-35))/((-2)/(-7))*-2. Find o such that -2*o**4 + s*o + o**5 - 71 + 7*o**5 + 35*o**2 - 3*o**4 - 35*o**3 + 2*o**5 + 61 = 0.
-2, -1/2, 1
Find n such that 1068/13*n + 2/13*n**3 + 538/13*n**2 + 0 = 0.
-267, -2, 0
Suppose -1376*p + 1373*p = -6, -3*j - 4*p = -14. Factor 0 + 0*o + 2/5*o**j.
2*o**2/5
Let a(i) be the second derivative of -5*i**4/72 - 287*i**3/36 + 29*i**2/2 + 55*i. Factor a(z).
-(z + 58)*(5*z - 3)/6
Let o(p) be the second derivative of -p**5/90 + 13*p**4/54 - 4*p**3/9 + 273*p. Factor o(f).
-2*f*(f - 12)*(f - 1)/9
Let x(a) be the first derivative of a**5/30 + 17*a**4/12 + 143*a**3/6 + 595*a**2/3 + 2450*a/3 + 3329. Determine j so that x(j) = 0.
-10, -7
Let g = -234 - -237. Factor -4*y**g + 2*y**3 + 9099*y**5 - 9097*y**5.
2*y**3*(y - 1)*(y + 1)
Let r be 38/(-10) - (-6 - (9 + -19)). Let h = 671/45 + r. Find s, given that -4*s**2 + 20/9*s**4 - 16/9 - 44/9*s**3 + 4/3*s**5 + h*s = 0.
-2, 1/3, 1
Let t = 150300 + -300597/2. Suppose 2*s - 3 = l, -4*l + 0*s + 6 = -2*s. Determine p, given that -1/4*p**4 - t*p**2 - p**l - 1/4 - p = 0.
-1
Let j(l) be the second derivative of l**6/165 - 8*l**5/55 + 46*l**4/33 - 224*l**3/33 + 192*l**2/11 - 1760*l. Solve j(g) = 0.
2, 4, 6
Let v(x) = x**3 - 8*x**2 + 1. Let c(a) = 2*a**2 + 1. Let k(u) = -c(u) + v(u). Factor k(n).
n**2*(n - 10)
Let s(p) be the first derivative of -4/3*p**2 + 0*p + 2/9*p**3 - 174. Factor s(b).
2*b*(b - 4)/3
Let q(a) = -624*a + 11858. Let d be q(19). Find c, given that 2/17*c**5 - 16/17*c - 4/17*c**3 - 24/17*c**d + 0 + 6/17*c**4 = 0.
-2, -1, 0, 2
Suppose 27*m - 41*m = -140. Suppose 4*q = 2 - m, 0 = 4*z + 2*q - 8. Solve 0 + 1/4*b**4 - 1/4*b + 1/4*b**z - 1/4*b**2 = 0.
-1, 0, 1
Let c be (12 - 2)*((-75)/(-24) + -3). Suppose 164*u = 166*u - 4. Determine k, given that 1/4*k**3 - c*k - 1/4*k**4 + 1/2 + 3/4*k**u = 0.
-2, 1
Let j(y) be the first derivative of y**4 + 18*y**3 + 1453. Let j(q) = 0. Calculate q.
-27/2, 0
Let v(l) be the first derivative of -19 - 10/13*l**2 + 2/39*l**3 + 0*l. Factor v(w).
2*w*(w - 10)/13
Let n(c) be the first derivative of c**4/16 - 4*c**3 - 103*c**2/8 + 75*c/2 - 2214. Suppose n(u) = 0. Calculate u.
-3, 1, 50
Let l = 6 + -5. Let v be 0 + 2 + (3 - l) - 4. Factor v + 1/4*m + 23/8*m**4 + 7/8*m**5 + 27/8*m**3 + 13/8*m**2.
m*(m + 1)**3*(7*m + 2)/8
Suppose 0 = -n - d, -14*n + 17*n - 5*d - 24 = 0. Solve 14/3*f - 2/3*f**4 - 6*f**2 + 10/3*f**n - 4/3 = 0 for f.
1, 2
Let a(n) be the second derivative of 2*n**7/21 - 6*n**6/5 - 3*n**5 + 53*n**4/3 - 20*n**3 - 818*n. Find x such that a(x) = 0.
-3, 0, 1, 10
Let a(h) be the second derivative of -h**4/84 - 799*h**3/42 - 797*h**2/7 + 356*h - 2. Factor a(x).
-(x + 2)*(x + 797)/7
Let b be (-3)/((-42)/(-98) - 10/7). Let u be 0 - -1 - (0 + -3). Suppose -20*j + 41*j**2 - 11*j**u + 7*j**5 - 12*j**4 + 4 + 13*j**b - 22*j**2 = 0. Calculate j.
-1, 2/7, 1, 2
Let v = -87/685 - -127/137. Let 8/5*w**2 + 18/5*w**3 - v*w**5 - 8/5*w + 0 - 2/5*w**4 = 0. Calculate w.
-2, -1, 0, 1/2, 2
Let h = 100/143 - 17/26. Let r = h - -17/110. Determine w, given that r*w**2 + 2/5 + 3/5*w = 0.
-2, -1
Let k(r) = 3*r**3 - 4*r**2 + 1. Let v(a) = -20*a**3 + 3860*a**2 - 737280*a - 5. Let d(p) = 5*k(p) + v(p). Factor d(c).
-5*c*(c - 384)**2
Suppose 7 = 19*i - 126. Suppose -j + 10 = i*z - 3*z, 4*z = 4*j. Factor 8/9*b + 0 + 2/9*b**3 + 8/9*b**j.
2*b*(b + 2)**2/9
Suppose 11 = -5*a - 9, 4*a + 46 = 2*h. Let i(p) be the first derivative of -5/18*p**3 - 5/3*p - 5/4*p**2 + h. Find b such that i(b) = 0.
-2, -1
Let m(t) be the third derivative of t**7/4200 + t**6/900 - t**5/200 - 17*t**3/3 + 34*t**2. Let a(r) be the first derivative of m(r). Factor a(h).
h*(h - 1)*(h + 3)/5
Let p(y) be the first derivative of y**6/6 - 3*y**5/5 + y**4/2 + 2*y**3/3 - 3*y**2/2 + y - 11648. Factor p(b).
(b - 1)**4*(b + 1)
Let j(z) be the first derivative of 0*z**2 + 0*z - 1/2700*z**6 + 2/45*z**4 - 7/900*z**5 + 11/3*z**3 + 8. Let p(f) be the third derivative of j(f). Factor p(v).
-2*(v - 1)*(v + 8)/15
Solve 5*m**5 - 44902*m**2 - 695*m**4 + 25160*m**3 + 5457*m**2 - 29915*m**2 = 0 for m.
0, 3, 68
Let y(b) be the second derivative of b**5/40 - b**4/4 + 8*b**2 - 2*b - 380. Factor y(a).
(a - 4)**2*(a + 2)/2
Let k(n) = -n + 26. Let i be k(33). Let b be -104*5/(-700)*(0 - i). Find m, given that 2*m**2 - 12/5 + b*m = 0.
-3, 2/5
Let d = -311 - -345. Suppose d*u - 3*u - 62 = 0. Solve -u*o - 2/7*o**2 - 20/7 = 0 for o.
-5, -2
Let d(y) be the first derivative of -y**5/15 + 47*y**4/3 - 8645*y**3/9 - 9025*y**2/3 + 3607. Factor d(j).
-j*(j - 95)**2*(j + 2)/3
Suppose 4*t = -81 + 85. Let b be 44/66*(t - 2/(-4)). Factor -2 + b - 3*u**2 - u**3 + 2 + 3.
-(u - 1)*(u + 2)**2
Let f(l) be the third derivative of l**5/420 - 31*l**4/168 - 60*l**3/7 + 2776*l**2. Factor f(j).
(j - 40)*(j + 9)/7
Let c be (-12)/90 - 7*26/(-15). Let y be 88/c + (-1 - 5). Find t, given that 4/3*t - y - 1/3*t**2 = 0.
2
Let p = -1919 + 4195. Let f = p + -6817/3. Factor 121/6 + 1/6*w**2 - f*w.
(w - 11)**2/6
Let k(g) = 43*g**3 + 2*g**2 - g - 2. Let r be k(1). Let j be (4/7)/(12/r). Determine d, given that -12*d**j - 12*d**3 + 15*d + 40*d**2 + 9*d = 0.
-2/3, 0, 3
Let j(d) be the first derivative of d**3/12 + d**2 - 21*d - 808. Factor j(v).
(v - 6)*(v + 14)/4
Determine c so that 510/7*c - 2*c**3 - 2/7*c**4 + 46/7*c**2 + 900/7 = 0.
-5, -3, 6
Solve 81/2*j**5 - 441/2*j**4 + 1790*j**2 - 1042*j**3 + 64 - 632*j = 0.
-4, 2/9, 1, 8
Solve -770/3*s + 2/3*s**3 - 382/3*s**2 - 386/3 = 0.
-1, 193
Let w(t) be the first derivative of -t**4 + 0*t + 143 - 2/25*t**5 - 10/3*t**3 + 0*t**2. Solve w(c) = 0.
-5, 0
Let k be 4/(-6) + (-232)/(-24) + 0. Let h be 9/2*4/k. Factor 6*a**4 - 5*a + h*a**5 + 2*a**3 + a + 2*a**2 - 8*a**2.
2*a*(a - 1)*(a + 1)**2*(a + 2)
Find h such that 1713*h**2 + 275*h - 3422*h**2 + 1714*h**2 = 0.
-55, 0
Let s(r) be the second derivative of r**6/135 + r**5/10 - 8*r**4/9 + 52*r**3/27 + 6*r + 72. Determine m, given that s(m) = 0.
-13, 0, 2
Let y(j) = -6*j - 16. Let q be y(-3). Determine r, given that 686*r**2 - 53*r - 167*r - 691*r**q - 2420 = 0.
-22
Let h(c) be the second derivative of -c**8/5040 - c**7/315 - 11*c**6/540 - c**5/15 - 31*c**4/6 + 80*c. Let f(a) be the third derivative of h(a). Factor f(j).
-4*(j + 1)*(j + 2)*(j + 3)/3
Suppose 332 + 916 = 6*h. Suppose 205*i**2 - 28*i - 8*i - h*i**2 + 39 = 0. What is i?
-13, 1
Let m be (3/8*2)/(303/1212). Let j(k) be the second derivative of 12*k + 1/10*k**5 + 0 + 0*k**2 - 2/3*k**m - 1/6*k**4. Let j