
Let h = 815 + -540. Let d = 279 - h. Find s such that 0 + 4/3*s + 4/3*s**2 - 4/3*s**3 - 4/3*s**d = 0.
-1, 0, 1
Suppose -11*x = -9 - 46. Let r be 105/(-42) + x/(15/9). Determine l, given that -1/6*l**3 + 0*l**2 + r*l + 1/3 = 0.
-1, 2
Let n(g) be the first derivative of -2*g**5 - 223 + 23/2*g**4 + 29*g**2 - 26*g**3 - 16*g. Factor n(y).
-2*(y - 1)**3*(5*y - 8)
Suppose -21 = -h - 18. Determine t so that -3*t**2 + t**2 + 106 - 4*t**h + 4*t - 6*t**2 - 98 = 0.
-2, -1, 1
Let m(w) be the third derivative of 0 - 1/2*w**5 - 21*w**2 + 55/24*w**4 + 1/24*w**6 - 5*w**3 + 0*w. Factor m(y).
5*(y - 3)*(y - 2)*(y - 1)
Let l(p) = 9*p**4 + 35*p**3 + 28*p. Let d(j) = 6*j**4 + 24*j**3 + 20*j. Let i(v) = 7*d(v) - 5*l(v). Factor i(a).
-a**3*(3*a + 7)
Let q(w) be the first derivative of -15*w**4/4 - 57*w**3 + 756*w**2/5 - 624*w/5 - 153. Let q(s) = 0. Calculate s.
-13, 4/5
Let t be ((12/42)/2)/(16/28)*12. Factor -3/4*y**2 + 1/4*y**t + 3/4*y**4 + 0 - 1/2*y + 1/4*y**5.
y*(y - 1)*(y + 1)**2*(y + 2)/4
Let t be (0 + 4/3)*15. Suppose -3*a + t*a = 34. Factor -72/7*i**a - 50/7 - 195/7*i - i**3.
-(i + 5)**2*(7*i + 2)/7
Let a(i) be the second derivative of 2*i**6/15 + i**5/140 - i**4/3 - i**3/42 - 2*i + 275. What is j in a(j) = 0?
-1, -1/28, 0, 1
Let o = 16092 - 96845/6. Let f = -136/3 - o. Solve -37/2*a**3 + 9 - f*a**4 - 31/2*a**2 + 57/2*a = 0.
-3, -2/7, 1
Let t(n) = n**3 - 9*n + 33. Let x be t(-4). Let o(f) be the first derivative of -2*f**3 + 2*f**2 + 9 + 0*f + 0*f**4 + 2/5*f**x. Factor o(i).
2*i*(i - 1)**2*(i + 2)
Suppose -l - 10 = -3*n, 0 = 4*n - 2*l + 3 - 15. Factor 4*f**4 + f**4 - 12*f**4 + 5*f**n.
-2*f**4
Let x(u) be the third derivative of -u**5/630 - 31*u**4/84 - 30*u**3/7 + 160*u**2 + 4. Solve x(o) = 0.
-90, -3
Let v(o) be the first derivative of o**3/9 + 61*o**2/3 - 248*o/3 - 2887. Factor v(g).
(g - 2)*(g + 124)/3
Factor -85*p**3 - 90*p**2 - 78*p**3 - 92*p**3 + 343*p**3 + 88*p - 86*p**3.
2*p*(p - 44)*(p - 1)
Let i(b) be the first derivative of -b**4/6 - 7*b**3/3 - 6*b**2 + 70*b - 127. Let n(r) be the first derivative of i(r). Factor n(m).
-2*(m + 1)*(m + 6)
Let n(c) be the first derivative of -5*c**4/48 + 125*c**3/24 - 15*c**2 + 68*c - 320. Let z(w) be the first derivative of n(w). Factor z(l).
-5*(l - 24)*(l - 1)/4
Suppose 0 = 12*g - 1338 + 270. Solve 14*o + 200*o**2 - 90 - g*o - 87*o**4 + 18*o**3 + 32*o**3 - 23*o**4 + 25*o**5 = 0 for o.
-1, -3/5, 1, 2, 3
Let u(r) be the third derivative of -2*r + 4/45*r**5 + 5/54*r**4 - 1/54*r**6 + 1/945*r**7 - 8*r**2 - 25/27*r**3 + 0. Factor u(d).
2*(d - 5)**2*(d - 1)*(d + 1)/9
Find d such that -6*d + 5*d**4 + 16*d**2 - 1/2*d**5 + 0 - 29/2*d**3 = 0.
0, 1, 2, 6
Let o(w) be the first derivative of -14*w**6/3 + 36*w**5/5 + 19*w**4 - 164*w**3/3 + 48*w**2 - 16*w - 692. Determine l, given that o(l) = 0.
-2, 2/7, 1
Let y(a) be the second derivative of a**5/90 + 23*a**4/27 - 2*a + 396. Factor y(f).
2*f**2*(f + 46)/9
Let r(k) be the third derivative of -k**10/15120 - 19*k**9/30240 - k**8/840 + 5*k**5/4 - 3*k**2 + 1. Let l(j) be the third derivative of r(j). Factor l(g).
-2*g**2*(g + 3)*(5*g + 4)
Suppose 18*u = t + 22*u - 30, 0 = 3*t + u - 13. Let s(x) be the first derivative of -1/8*x**4 + 1/18*x**3 + 20 + 1/4*x**t - 1/3*x + 1/30*x**5. Factor s(k).
(k - 2)*(k - 1)**2*(k + 1)/6
Let y(s) = 9*s**3 + 19*s + 14. Let h(m) be the first derivative of m**4/2 + 3*m**2 + 4*m + 109. Let l(k) = 7*h(k) - 2*y(k). Factor l(d).
-4*d*(d - 1)*(d + 1)
Factor -178124 + 161*m - 871*m + 2*m**2 + 490174 - 870*m.
2*(m - 395)**2
Suppose 5*k = 5*b + 10, -3834*b + 2*k - 19 = -3837*b. Find r, given that -1119/7*r**2 - 11532/7 + 34968/7*r + 9/7*r**b = 0.
1/3, 62
Factor 205/4*u**2 + 1/4*u**4 + 23/2*u**3 + 0*u + 0.
u**2*(u + 5)*(u + 41)/4
Let d(t) = 9*t - 5. Let c be d(1). Find y, given that -36*y**4 + 0*y**3 + 2*y - 5*y**2 + 75*y**4 - 4*y**3 - 36*y**c = 0.
-1, 0, 1/3, 2
Let t(m) = m**2. Let h = 66 - 67. Let a(r) = -53*r**2 + 20*r**2 + 18*r + 30*r**2 - 2*r**3 - 10. Let q(p) = h*a(p) + 3*t(p). Find v, given that q(v) = 0.
-5, 1
Let n(c) be the first derivative of c**3/7 + 1080*c**2/7 + 388800*c/7 + 9344. Factor n(t).
3*(t + 360)**2/7
Factor 260 - 3*o**3 - 1452*o**2 - 260 - 555*o - 894*o.
-3*o*(o + 1)*(o + 483)
Let g be 9 + 3 - (-245376)/(-21584). Solve g*f + 2/19*f**2 - 14/19 = 0 for f.
-7, 1
Let v = 81 + -79. Suppose -v*f = 8, 2 = -5*b + 3*f + 34. Let l(y) = y**3 + 1. Let p(z) = 12*z**3 + 18*z**2 - 20*z - 2. Let j(r) = b*l(r) - p(r). Factor j(m).
-2*(m - 1)*(m + 3)*(4*m + 1)
Let k be 0 + 91/(-6) + (-2)/(-12). Let f(h) = -h - 13. Let c be f(k). Factor 44*z - 28*z**c - 77 + 4*z**3 + 32 + 25.
4*(z - 5)*(z - 1)**2
Let s(m) = 7*m**3 - 92*m**2 - 7*m + 88. Let c(u) = -9*u**3 + 91*u**2 + 9*u - 86. Let h(p) = 4*c(p) + 5*s(p). Let h(b) = 0. What is b?
-96, -1, 1
Find z, given that -92*z + 60*z**3 + 50/7*z**4 - 66/7 - 1488/7*z**2 = 0.
-11, -1/5, 3
Let q(z) = -41*z**2 - 942*z - 43239. Let x(o) = -252*o**2 - 5654*o - 259433. Let r(j) = -37*q(j) + 6*x(j). Factor r(l).
5*(l + 93)**2
Let y be -24 - -6 - (-17680)/952. Suppose 0 = x - 5*o + 10, 0*x = -2*x - 3*o + 6. What is h in 12/7*h**3 - 4/7*h**5 + 4/7*h**4 - 8/7*h + x - y*h**2 = 0?
-1, 0, 1, 2
Factor -3*l**2 + 36/5*l + 51/5.
-3*(l + 1)*(5*l - 17)/5
Let b(v) = -v + 115. Let o be b(20). Factor -189 + 10*n + 89 + o - 5*n**2.
-5*(n - 1)**2
Let m(t) be the third derivative of 0*t + 3/10*t**6 + 7*t**5 + 171*t**2 + 22/3*t**3 + 0 + 67/6*t**4. Solve m(i) = 0 for i.
-11, -1/3
Let i(q) be the second derivative of q**6/12 + 253*q**5/8 - 1275*q**4/8 + 3835*q**3/12 - 320*q**2 - 7937*q. Determine a, given that i(a) = 0.
-256, 1
Suppose -5*h - 5*m = 5430, -949 - 1218 = 2*h - 3*m. Let l = -2167/2 - h. Factor 0*p**3 + 1/2*p**4 - l*p**2 + p + 0.
p*(p - 1)**2*(p + 2)/2
Let b be 5/20 - 140/(-16). Suppose -3*f = 2*t - 7, 5*f - b = -2*t + 4. What is x in -6/7*x**4 + 22/7*x**f + 12/7 - 6/7*x**2 - 22/7*x = 0?
-1, 2/3, 1, 3
Let j be (-685)/(-9864)*-27 + (-542)/(-272). Factor j*u**4 - 114/17*u**2 - 198/17*u - 10/17*u**3 + 0.
2*u*(u - 11)*(u + 3)**2/17
Factor 734472/5 + 2/5*w**2 - 2424/5*w.
2*(w - 606)**2/5
Let t(g) = -g + 4 + 0*g**2 + 2*g**2 - 7*g - 6*g. Let f be t(7). Find d, given that -3*d**2 - f*d + 2*d**3 + 6*d**2 - 6*d**3 + 3*d**2 + 1 + d**4 = 0.
1
Let f(j) = -j**2 - 28*j + 93. Suppose 32*x + 372 + 620 = 0. Let m be f(x). Factor -3/2*l**2 + m - 3/2*l.
-3*l*(l + 1)/2
Let a(o) be the second derivative of -o**5/4 + 4595*o**4/2 - 8445610*o**3 + 15523031180*o**2 + 2742*o. Factor a(j).
-5*(j - 1838)**3
Determine i, given that 1679*i + 713*i**3 - 299*i**3 - 25728*i**2 + 1706*i**3 - 44*i**4 + 2929*i = 0.
0, 2/11, 24
Let g(o) = -o**2 - o. Let s(n) = -51 - 67 + 11*n - 5*n**2 + 104. Let u(q) = -4*g(q) + s(q). Let u(b) = 0. Calculate b.
1, 14
Determine n so that -34900*n**2 - 7/2 + 1399/2*n - 5000*n**3 = 0.
-7, 1/100
Let m be (-12)/(-9) - (1 + 938/(-3)). Let 96*d**2 + 3*d**5 - 331*d**3 + m*d**3 + 96*d - 11*d**4 - 4*d**4 = 0. Calculate d.
-2, -1, 0, 4
Let i = 149 + -145. Factor -119*v**3 + 26*v**3 + 3*v**5 + 87*v**3 + 24*v**i + 54*v**3.
3*v**3*(v + 4)**2
Let s(q) be the second derivative of 1/6*q**3 + 3*q + 3*q**2 - 3 - 1/36*q**4. Find z such that s(z) = 0.
-3, 6
Let i(k) = -8*k - 53. Let o be i(-7). Solve -61 - 4*x**4 + 152*x**2 - 242*x**2 + 138*x**2 + 16*x + 4*x**o - 3 = 0 for x.
-2, 1, 4
Let q(v) be the second derivative of 4/45*v**6 + 0 + 0*v**2 - 1/5*v**5 - 1/9*v**3 + 2/9*v**4 + 25*v - 1/63*v**7. Let q(c) = 0. Calculate c.
0, 1
Let j(g) be the third derivative of 0*g + 1/12*g**4 + 1/50*g**5 - 3/100*g**6 - 69 + 1/15*g**3 - 2*g**2. Factor j(m).
-2*(m - 1)*(3*m + 1)**2/5
Let a(k) be the third derivative of -1 + 0*k + 23/180*k**5 - 5/18*k**4 - 1/360*k**6 - 22/9*k**3 + 3*k**2. Find x, given that a(x) = 0.
-1, 2, 22
Let y = 1335/13 - 5778/65. Determine v, given that 72/5*v**2 + 3/5*v**3 + y*v + 0 = 0.
-23, -1, 0
Let g be (-9)/18 + 55/22. Suppose -1 + 13 = 4*t. Factor 8*b - t*b + b + 2 - 5*b - b**g.
-(b - 2)*(b + 1)
Let r = -52345/3 - -17503. Suppose 4*h + 4*o = 3*o + 11, -20 = -4*h - 4*o. Let -60*g**4 - 452/3*g**3 + 16/3 + 128/3*g + r*g**h + 108*g**5 = 0. What is g?
-1, -2/9, 1
Let j(k) be the third derivative of 2 + 5/72*k**4 + 0*k - 7/9*k**3 + 6*k**2 + 1/180*k**5. Determine d, given that j(d) = 0.
-7, 2
Let v(x) be the second derivative of -x**7/147 + 23*x**6/10