
Let m(p) = -p**3 - p**2 + 2470*p - 7370. Let o be m(3). Solve -122/11*l**3 + 234/11*l**2 - 34/11 - 8/11*l**o - 70/11*l = 0.
-17, -1/4, 1
Let q be 13496/70854*6/4. Suppose -1152/7 + 96/7*j - q*j**2 = 0. What is j?
24
Let x be -2*((-49)/14)/((-2)/(-4)). Find t such that -20*t**4 - 14*t**2 + 0*t**5 + 4*t**3 - 5*t**5 + x*t**2 - 24*t**3 = 0.
-2, 0
Factor -1/3*l**2 - 286/3*l - 376.
-(l + 4)*(l + 282)/3
Let l(k) = -k**2 - 2*k - 37. Let v(r) = -39. Let y(b) = 3*l(b) - 4*v(b). Factor y(d).
-3*(d - 3)*(d + 5)
Let x = 29 - 25. Suppose r = x*r. Let -10 + 5*k**3 + 12*k + r*k**3 - 27*k = 0. Calculate k.
-1, 2
Let l(i) = i**2 + i + 17. Let k be l(-6). Find z, given that -15*z**5 + 3*z - 136*z**2 + 20*z**4 + 6*z**3 + 2*z + 69*z**2 + 4*z**3 + k*z**2 = 0.
-1, 0, 1/3, 1
Let t be (46/4 - 113391/9962)/(18/51). Determine j so that 17/3*j + 14/3*j**2 - 4/3*j**4 + 0*j**3 - t*j**5 + 2 = 0.
-3, -1, 2
Let a = 71 - 69. Let 82*i + 3*i**4 - 46*i**2 + 3*i**3 + 22*i**a - 118*i = 0. What is i?
-2, 0, 3
Let i(v) be the first derivative of -v**4/18 - 278*v**3/27 + 2560. Let i(c) = 0. What is c?
-139, 0
Let w(n) be the second derivative of n**5/32 + 3*n**4/32 - n**3/8 - n**2/2 - 3*n - 1246. Suppose w(f) = 0. Calculate f.
-2, -4/5, 1
Let x = 177 - 147. Let c be -2 - x/3*14/(-35). Factor 1/4*z**c + 25/4 + 5/2*z.
(z + 5)**2/4
Suppose -5*k = 4*a - 20, 5*k + a = 12 + 8. Factor -2*h**2 + 0*h**2 + 2*h**2 - k*h**2.
-4*h**2
Let m(t) be the first derivative of -3*t**4/28 - 169*t**3/7 - 36*t**2 - 7009. Solve m(i) = 0 for i.
-168, -1, 0
Let h = -200 + 203. Suppose -3*u + 6*x = 9*x - 3, -2*u + 1 = h*x. Find w such that 0 - 4/15*w**3 - 2/15*w**4 + 0*w**u + 0*w = 0.
-2, 0
Let i(c) be the first derivative of -5*c**3/18 - 75*c**2/4 - 1250*c/3 + 1880. Let i(r) = 0. What is r?
-25, -20
Suppose -v + 4 = -o - 1, -3*v + 5*o = -19. Let s(c) be the second derivative of -3/2*c**v + 0*c**2 - 1/4*c**4 + 0 + 16*c. Suppose s(j) = 0. Calculate j.
-3, 0
Suppose -239 = 2*r - 349. Let 13*l**5 - 13*l**3 - r*l**2 + 27*l**2 - 8*l + 7*l**5 + l**3 + 28*l**4 = 0. Calculate l.
-1, -2/5, 0, 1
Find u, given that 66*u + 3413 + 72*u - 3379 + 8*u**2 = 0.
-17, -1/4
Let g(n) be the third derivative of 0*n - 2*n**3 + 0*n**6 + 25/12*n**4 + 16*n**2 + 4/105*n**7 - 9/10*n**5 - 3. Let g(k) = 0. What is k?
-3, 1/2, 2
Solve -12333*p**2 - 42595*p - 4061*p - 33459*p**2 - p**4 + 860*p**3 - 3*p**4 = 0 for p.
-1, 0, 108
Let p = -662/111 + 847/111. Factor n**3 - 1/3*n**5 + 2/3*n + 0 - 1/3*n**4 + p*n**2.
-n*(n - 2)*(n + 1)**3/3
Let z(q) = -4*q - 15. Let x be z(-5). Suppose -20 = x*u - 7*u. Factor -u*g + 23*g + 5*g**2 + 7*g.
5*g*(g + 4)
Let s = 44/3 - 718/51. Let j = -3957/17 + 233. Suppose s*m**3 + 0 + 0*m + 4/17*m**4 - j*m**2 - 10/17*m**5 = 0. What is m?
-1, 0, 2/5, 1
Let p be 4/3 + (2/20)/(30157/(-2332) + 13). Solve -p*m + 24/5 + 1/5*m**2 = 0 for m.
2, 12
Let 4096 + 4480/3*a + 131/3*a**2 + 1/3*a**3 = 0. What is a?
-64, -3
Let q(p) be the second derivative of -p**5/50 - 23*p**4/10 - 333*p**3/5 + 1369*p**2 + 1736*p. Factor q(c).
-2*(c - 5)*(c + 37)**2/5
Let x(m) = -5*m + 582. Let g be x(116). Let d(u) be the first derivative of 27 - 4/5*u**5 + 13/4*u**4 + 13/3*u**3 + 0*u - g*u**2. What is s in d(s) = 0?
-1, 0, 1/4, 4
Let y(o) = -2*o + 11. Let q be y(4). Let d(k) = -k**4 - 2*k**2 + 1. Let h(s) = s**4 + 24*s**3 + 6*s**2 - 40*s + 3. Let u(n) = q*d(n) - h(n). Factor u(v).
-4*v*(v - 1)*(v + 2)*(v + 5)
Let g(y) = 5*y**4 + 74*y**3 + 847*y**2 + 2677*y - 3600. Let q(s) = -s**4 - s**2 + s. Let d(o) = -2*g(o) - 6*q(o). Suppose d(h) = 0. What is h?
-18, -10, 1
Find a, given that 36 + 79*a**3 + 3*a**5 + 252*a + 239*a**2 - 47*a**2 - 36 - 36*a**4 - 178*a**3 = 0.
-3, -1, 0, 2, 14
Let n = -6317 + 6323. Let q(d) be the third derivative of 1/240*d**n + 0*d**3 + 0 + 0*d - 1/180*d**5 + 0*d**4 - 1/1260*d**7 - 21*d**2. Factor q(a).
-a**2*(a - 2)*(a - 1)/6
Suppose -j = -3, 28 = -2*v + j + 17. Let o be (v - 51/(-12))/(45/216). Suppose -9/5 - o*d + 3/5*d**2 = 0. Calculate d.
-1, 3
Let b = -23923 - -23928. Let -26/15*d**4 + 16/15 + 4/15*d**b + 8/3*d**3 + 2/3*d**2 - 44/15*d = 0. Calculate d.
-1, 1/2, 1, 2, 4
Let x be (-25*47/705)/((30/8)/(-3)). Let q(f) be the first derivative of -3 - 4*f + 4*f**2 - x*f**3. Factor q(j).
-4*(j - 1)**2
Let l = 359845/4 - 89960. Determine n, given that 5*n**3 - 15/4 + l*n**4 + 5/2*n**2 - 5*n = 0.
-3, -1, 1
Let b(x) be the third derivative of -x**7/210 - 19*x**6/30 - 37*x**5/30 + 19*x**4/6 + 25*x**3/2 + 1993*x**2. Factor b(i).
-(i - 1)*(i + 1)**2*(i + 75)
Let z = -267 - -269. Suppose -4*j = 3*b - 16, -3*b - z*j + 8 = -b. Determine t, given that 2/11*t**2 + b + 2/11*t = 0.
-1, 0
Let f(t) be the first derivative of t**4/2 - 21*t**2 + 40*t - 1287. Factor f(q).
2*(q - 4)*(q - 1)*(q + 5)
Let b(y) be the third derivative of -1/2*y**5 + 0*y**3 + y**2 - 17*y + 0 + 9/8*y**4 + 1/40*y**6. Determine p, given that b(p) = 0.
0, 1, 9
Let j = 312/385 - 21/55. Suppose 0 = -4*y + 2*u + 16, 3*y + 5*u = 7*u + 13. Solve -j*k + 6/7*k**2 + 0 - 3/7*k**y = 0 for k.
0, 1
Let h(m) be the third derivative of -m**6/480 + 69*m**5/80 + m**4/96 - 69*m**3/8 + 387*m**2. Determine i so that h(i) = 0.
-1, 1, 207
What is m in 1917*m + 37*m**2 - 1469*m**3 - 1471*m**3 - 298*m**2 - 1659 + 2943*m**3 = 0?
1, 7, 79
Let u be 18*(385/198)/7. Let n(t) be the second derivative of 55/6*t**3 + 0 - 15/4*t**4 + 1/6*t**6 - 10*t**2 + 1/4*t**u + 3*t. Factor n(l).
5*(l - 1)**3*(l + 4)
Let d = 201/76 - 91/38. Let l(t) be the second derivative of -d*t**2 + 1/4*t**3 + 1/40*t**5 + 0 + 26*t - 1/8*t**4. Factor l(r).
(r - 1)**3/2
Let q be 8/(-92) + (-108693)/(-207). Let z be 85/q*6 + 4/(-10). Solve -z*p**2 - 4/7*p + 4/7 + 4/7*p**3 = 0.
-1, 1
Let w(f) be the third derivative of 121*f**7/735 - 44*f**6/105 - 628*f**5/105 + 80*f**4/7 + 1200*f**3/7 + 839*f**2. Factor w(r).
2*(r + 2)**2*(11*r - 30)**2/7
Let v be 96/(-84)*(-595)/510. Factor -2/3*g**3 - 10/3*g**2 + 16/3 - v*g.
-2*(g - 1)*(g + 2)*(g + 4)/3
Factor 0*m + 0 + 2/3*m**4 + 1/3*m**5 + 14*m**2 - 29/3*m**3.
m**2*(m - 3)*(m - 2)*(m + 7)/3
Let r(v) be the second derivative of 1225*v**4/3 + 3640*v**3/3 + 1352*v**2 + 4*v - 124. Find k such that r(k) = 0.
-26/35
Let q be (-7)/7*(-80)/44*(-5)/20*-2. Let n(x) = x**2 + 5*x + 6. Let u be n(-4). Factor 14/11*j + 6/11 + 2/11*j**3 + q*j**u.
2*(j + 1)**2*(j + 3)/11
Factor -1040*t - 153*t**2 - 45*t**2 - 1056 - 50*t**2 - 235*t**3 + 239*t**3.
4*(t - 66)*(t + 2)**2
Factor 439/2*i + 1/2*i**2 - 220.
(i - 1)*(i + 440)/2
Let v(f) be the first derivative of f**6/360 - f**5/10 + 3*f**4/2 - 12*f**3 + 5*f**2/2 + 10. Let x(q) be the second derivative of v(q). Factor x(w).
(w - 6)**3/3
Factor 0 - 3/8*a - 3/8*a**2.
-3*a*(a + 1)/8
Let -5408 + 5/3*q**4 + 3484/3*q + 89*q**3 + 1240*q**2 = 0. Calculate q.
-26, -3, 8/5
Let a(r) be the first derivative of 2*r**3/3 + 8*r**2 - 936*r - 2703. Determine v so that a(v) = 0.
-26, 18
Let r(l) = -l**3 - 6*l**2 - 6*l + 8. Let f be r(-5). Suppose 4*b - f = 3*u - 2*u, -b = -5*u + 11. Suppose -4*t**2 + 8 - b*t + 9*t - t + 0*t = 0. What is t?
-1, 2
Let f = 1436547/2 + -718262. Determine w so that -1/2*w**2 - f*w + 12 = 0.
-24, 1
Let n(x) = x**3. Let m(u) = -9*u**3 + 7*u**2 - 11*u + 5. Let w = 39 - 15. Let r(o) = w*n(o) + 3*m(o). Determine z so that r(z) = 0.
1, 5
Let x = 190 - 191. Let n(r) = r**3 + 3*r**2 + 4*r + 2. Let y be n(x). Suppose 1/2*h**2 + y*h - 1/2 = 0. What is h?
-1, 1
Suppose 4/9*t + 2/9*t**2 - 16/3 = 0. What is t?
-6, 4
Suppose -l = -a - 1, 1 = 2*l - a - 3. Let o = 26 + -6. Find y such that o*y**2 - 5*y**2 - 12*y - 5*y**l + 2*y = 0.
0, 1, 2
Suppose 71 = -3*r + 77. Factor 3*l - 799*l**r + 803*l**2 - 60 - 11*l.
4*(l - 5)*(l + 3)
Suppose -2 - 2 = -2*a. Let i = 66735 + -600605/9. Factor 4/9 + i*o + 8/9*o**a + 2/9*o**3.
2*(o + 1)**2*(o + 2)/9
Let y(u) = -38 - 3*u + 36 - 6*u**2 + u. Let m(n) = -n**2 - n. Let i(c) = -5*m(c) + y(c). Let b(g) = g**2 + g - 1. Let z(x) = 4*b(x) + i(x). Factor z(t).
(t + 3)*(3*t - 2)
Factor -19/4*x - 1/4*x**2 - 45/2.
-(x + 9)*(x + 10)/4
Let f(r) be the first derivative of -3*r**5/5 + 1179*r**4/2 - 2352*r**3 + 3525*r**2 - 2349*r + 7006. Factor f(b).
-3*(b - 783)*(b - 1)**3
Suppose -72 = -8*g - 16*g. Factor -164730*n**2 + 4*n**5 - 8*n**4 + 164730*n**2 + 4*n**g.
4*n**3*(n - 1)**2
Let n be 0 - 1 - (-8)/(-12)*3. Let y be (n + 3)/2*1. Factor -36*a**3 - 3*a + 39