*(p + 1)*(p + 9)/2
Let x = 6 + -3. Suppose 2*o + 6*h - 22 = 3*h, x*h = -5*o + 37. Solve -1280*f**3 + 21*f + 1277*f**3 + 13 + o = 0 for f.
-2, -1, 3
Let z(p) be the third derivative of 0 + 1/30*p**5 - 1/9*p**4 - p**2 + 0*p**6 + 1/6*p**3 + 0*p - 1/630*p**7. Let z(w) = 0. Calculate w.
-3, 1
Let y = 95 + -90. Suppose 4*l = -2*m - 2 + 40, -4*l - y*m + 47 = 0. Find g, given that 16 + 3*g**2 + 2*g - 5*g**2 - 8*g - l*g = 0.
-8, 1
Let i be (0 - 5) + 165/5. Solve -12*n**5 + i - 347*n**3 + 11*n**3 + 186*n**2 - 228*n + 12 + 112*n**4 + 238*n**2 = 0 for n.
1/3, 1, 2, 5
Let n be (5 + 1)*(3/1 - 5). Let z be n/((-5)/(-3)*189/(-30)). Let -2/7*h**5 - 16/7*h + 2/7*h**4 + 10/7*h**3 - 2/7*h**2 - z = 0. Calculate h.
-1, 2
What is w in -4/9*w**2 - 260/9*w - 256/9 = 0?
-64, -1
Let m be (-1331)/(-35) + -19 - 19. Let s(c) be the second derivative of 10/21*c**4 - m*c**5 + 0 - 50/21*c**3 + 0*c**2 - 2*c. Factor s(l).
-4*l*(l - 5)**2/7
Let y(l) be the second derivative of -3*l**5/100 + 7*l**4/20 + 28*l**3/5 + 72*l**2/5 + 3*l + 79. Factor y(o).
-3*(o - 12)*(o + 1)*(o + 4)/5
Factor -48*j**3 + 48*j**2 + 0 - 3/2*j**5 + 0*j + 15*j**4.
-3*j**2*(j - 4)**2*(j - 2)/2
Let u(d) be the first derivative of 22*d**3/7 + 65*d**2/14 - d/7 + 3608. Factor u(m).
(m + 1)*(66*m - 1)/7
Let j(w) be the first derivative of w**4/22 - 4*w**3/11 + 9*w**2/11 - 24*w - 35. Let a(z) be the first derivative of j(z). Factor a(p).
6*(p - 3)*(p - 1)/11
Determine x so that 326*x + 318*x + 39*x**2 - 56*x**2 + 13*x**2 + 6840 = 0.
-10, 171
Let o be ((-90)/(-8) - 510/680) + 0. Factor -9 - 3/2*k**2 - o*k.
-3*(k + 1)*(k + 6)/2
Suppose -17*l = -4452 - 9811. Let g = l + -5869/7. Suppose 0 - g*f**2 + 4/7*f + 1/7*f**3 = 0. What is f?
0, 2
Suppose 366/5*o**4 - 522/5 + 3*o**5 - 1926/5*o**3 + 2172/5*o**2 - 21*o = 0. What is o?
-29, -2/5, 1, 3
Let z = -10900 - -119908/11. Let t be (24/55)/(18/45). Factor -8/11*j**4 + 2/11*j**5 - z*j**2 + t*j**3 + 0 + 2/11*j.
2*j*(j - 1)**4/11
Let k(h) = 2*h**3 - 16*h**2 + 37*h - 29. Let s(l) = l - 1. Let c = 168 + -171. Let x(r) = c*s(r) - k(r). Determine u, given that x(u) = 0.
2, 4
Let s be (15 - 16)/((-3)/10 + 143/(-65)). Factor -1/10*v**4 - s*v**2 + 1/2*v**3 + 0 + 0*v.
-v**2*(v - 4)*(v - 1)/10
Let r(l) = -49*l**3 + 1710*l**2 - 2814*l + 1185. Let w(u) = 3*u**2 - 2*u - 1. Let o(p) = -2*r(p) + 6*w(p). Factor o(m).
2*(m - 33)*(7*m - 6)**2
What is a in -97*a - 48*a**3 - 4*a**4 + 30 + 0*a**5 + 6*a**4 + 110*a**2 - 2*a**5 + 2*a**4 + 3*a**5 = 0?
-10, 1, 3
Factor 1/2*d**2 + 0 + 55/2*d.
d*(d + 55)/2
Let y(i) be the first derivative of 5*i**4/12 + 5*i**3/3 - 15*i**2/2 + 54*i + 56. Let j(n) be the first derivative of y(n). Factor j(q).
5*(q - 1)*(q + 3)
Let z(w) be the third derivative of 1/540*w**6 + 5/108*w**4 - 20*w + 0 - 4/9*w**3 - 2*w**2 + 1/45*w**5. Determine u, given that z(u) = 0.
-4, -3, 1
Suppose 34*b - 97 = 5. Factor 0*l**2 + 51*l + l**2 - b*l**2 - l**2.
-3*l*(l - 17)
Suppose 340/19*v + 0 - 2/19*v**4 - 340/19*v**3 + 2/19*v**2 = 0. What is v?
-170, -1, 0, 1
Let y be 34680/(-1344) + 26 + 3/8. Let 1/7*f**2 - y*f + 0 = 0. Calculate f.
0, 4
Let n(i) = 3*i**2 - 4350*i - 2354435. Let a(j) = 2*j**2 - 2176*j - 1177216. Let r(y) = 10*a(y) - 6*n(y). Factor r(q).
2*(q + 1085)**2
Let o(v) = -6*v**4 - 214*v**3 - 1619*v**2 - 3211*v - 60. Let t(n) = n**4 + n**3 - n**2 - n + 12. Let u(p) = -o(p) - 5*t(p). Suppose u(k) = 0. What is k?
-201, -4, 0
What is f in 944*f**2 - 3*f + 1873*f**2 - 149833 + 149833 = 0?
0, 1/939
Let n = -3488 - -627841/180. Let j(d) be the third derivative of 0*d + n*d**6 + 0*d**4 + 4/9*d**3 - 1/30*d**5 + 0 - 15*d**2. What is p in j(p) = 0?
-1, 2
Let x be (-17 + 684/54)*(-1)/13. Find n, given that x*n**2 - 4 + 4/3*n = 0.
-6, 2
Let b(d) be the third derivative of 0*d + 0*d**5 + 0*d**3 + 19/35*d**7 + 0*d**4 - 37/40*d**6 - 1/112*d**8 + 0 + 36*d**2. Solve b(q) = 0 for q.
0, 1, 37
Let u = 56578/9 + -226267/36. Factor -1/4*s**2 - u*s - 3/2.
-(s + 2)*(s + 3)/4
Let o(k) be the third derivative of k**5/15 - 152*k**4/3 + 46208*k**3/3 - 224*k**2. Factor o(a).
4*(a - 152)**2
What is t in 859041*t**5 - 859037*t**5 + 56*t**4 + 572*t**3 + 40*t**4 = 0?
-13, -11, 0
Let o be 23 - (10/(-36))/(563/(-46166)). Factor -58/9*x - o*x**2 - 56/9.
-2*(x + 1)*(x + 28)/9
Let d(v) = -68*v**2 - 132*v + 1140. Let j(p) = 3*p**2 + p - 6. Let b(o) = 2*d(o) + 44*j(o). Solve b(w) = 0 for w.
-63, 8
Let l be (-83 + (-11220)/(-140))*2*(-2)/5. Let 12/7*v**2 - 2/7*v**3 - l + 8/7*v - 2/7*v**4 = 0. Calculate v.
-2, 1, 2
Let u be 230/25 - 15/3. Let m = u - -3/10. Solve -15/4*j + 3*j**3 + 0 + 9/2*j**4 + 3/4*j**5 - m*j**2 = 0 for j.
-5, -1, 0, 1
Suppose 0 = -25*f + 31*f + 55*f - 105 - 17. Factor 2/17*n**f + 242/17 - 44/17*n.
2*(n - 11)**2/17
Let j = 1337 + -705. Suppose -100 = 612*c - j*c. Solve 5/3*i**2 - 13/6*i + 1/2*i**c + 5/3*i**3 + 1/2 - 13/6*i**4 = 0 for i.
-1, 1/3, 1, 3
Let m = -30132/23 + 90833/69. Factor -m*q - 1/3*q**3 + 19/6*q**2 - 4.
-(q - 6)*(q - 4)*(2*q + 1)/6
Suppose 35*o - 14 = -10*o + 121. Let u(i) be the third derivative of 0 + 0*i**o - 1/78*i**4 + 20*i**2 + 3/130*i**5 + 0*i. Suppose u(p) = 0. What is p?
0, 2/9
Let t(s) be the first derivative of -s**5/20 - 5*s**4/16 + 17*s**3/2 - 40*s**2 + 56*s - 422. Solve t(h) = 0.
-14, 1, 4
Let d(y) = -63*y - 1381. Let n be d(-22). Let j(z) be the first derivative of 7 + 0*z**4 + 0*z**2 + 0*z + 2/15*z**n - 2/9*z**3. Solve j(i) = 0.
-1, 0, 1
Find t such that -850*t - 722500 - 1/4*t**2 = 0.
-1700
Let u(n) = -12*n**2 + 2649*n - 2609. Let v(o) = 16*o**2 - 3531*o + 3479. Let a(y) = 9*u(y) + 7*v(y). Factor a(p).
4*(p - 218)*(p - 1)
Let d = -1/14290 + 21439/57160. Find i, given that 0*i**2 - 3/8*i**4 + 0*i + 0 + d*i**3 = 0.
0, 1
Let v(x) = 4*x**2 + 19*x + 35. Let h be (-2 - 16/(-3))/((-52)/(-78)). Let c(o) = o**2 + 10*o + 17. Let t(q) = h*c(q) - 2*v(q). Suppose t(p) = 0. What is p?
-1, 5
Let b(i) be the third derivative of 58*i**7/35 - 52*i**6/3 + 141*i**5/5 + 5*i**4/3 - 4523*i**2. Factor b(t).
4*t*(t - 5)*(t - 1)*(87*t + 2)
Factor -261*x**2 - 412*x**3 + 15623*x**4 - 31246*x**4 - 547*x**2 + 15619*x**4.
-4*x**2*(x + 2)*(x + 101)
Suppose 0 = -3*h - 15, 2*s - 49 = 4*s + 5*h. Let z be -2 - (-3)/(s/(-8)). Determine u so that 0*u**2 + z*u**3 - 2*u**2 - 2*u**3 + 3 - 1 + 2*u = 0.
-1, 1
Let b be ((-5 - -7)/(-1))/(1/(-8)). Factor 7*a**3 + 258 + a**4 + 8*a**2 - 258 - b*a.
a*(a - 1)*(a + 4)**2
Let g(j) = -j**2 - 5*j + 704. Let x be g(24). Let h(y) be the first derivative of -x + 2/3*y**3 + 14*y**2 + 98*y. Determine z, given that h(z) = 0.
-7
Let n(y) be the third derivative of y**7/945 - 13*y**6/540 + 11*y**5/135 - 2118*y**2. Factor n(b).
2*b**2*(b - 11)*(b - 2)/9
Let n(j) be the first derivative of -24/7*j - 24/35*j**5 + 1/14*j**6 + 6*j**2 + 75/28*j**4 - 38/7*j**3 + 21. Solve n(y) = 0 for y.
1, 2
Let z = -370820 + 370822. Factor -3/2*j**4 + 0 - 35/6*j**z - 2*j + 1/6*j**5 - 11/2*j**3.
j*(j - 12)*(j + 1)**3/6
Let k(i) be the first derivative of -i**4/4 + 16*i**3/3 + i**2/2 - 14*i + 125. Let z be k(16). Factor 7*c**2 - 8*c**4 + 7/2*c**5 + 1 - 11/2*c + z*c**3.
(c - 1)**3*(c + 1)*(7*c - 2)/2
Factor 0 + 0*a + 5/6*a**4 + 5/2*a**3 + 5/3*a**2.
5*a**2*(a + 1)*(a + 2)/6
Find o such that -116*o**2 + 4*o - 868690 + 868790 + 16*o**4 - 8*o**3 + 6*o - 2*o**5 = 0.
-2, -1, 1, 5
Let 892/5*l + 0 - 4/5*l**2 = 0. What is l?
0, 223
Let c be 0*(-5 - -19)/140. Let d(v) be the third derivative of c*v**3 - 1/210*v**7 - 1/30*v**6 + 0 + 0*v - 1/60*v**5 + 1/4*v**4 - 8*v**2. Factor d(o).
-o*(o - 1)*(o + 2)*(o + 3)
Let x = -8010 - -8012. Let q(l) be the first derivative of -1/5*l**x + 0*l - 23 - 1/30*l**6 + 1/15*l**3 + 3/20*l**4 - 1/25*l**5. Let q(y) = 0. What is y?
-2, -1, 0, 1
Suppose -3*w + 3*u + 45 = 0, -2*u + 30 = -0*w + 3*w. Find s, given that 8*s**2 - 8*s**3 + 2*s**5 - 4*s**4 - 184*s + 210*s - 4*s**3 + w = 0.
-1, 2, 3
Let f(z) = -z**2 + 9*z + 21. Let u be f(10). Suppose -u = -5*d + 29. Factor -50*j**2 - 2*j**3 + 6*j**3 + d*j + 38*j**2.
4*j*(j - 2)*(j - 1)
Let h(p) be the first derivative of -p**6/120 - p**5/10 - 3*p**4/8 + 18*p**3 + 19. Let k(m) be the third derivative of h(m). Suppose k(w) = 0. What is w?
-3, -1
Let c(x) = 25*x**3 - 3583*x**2 + 360023*x - 356417. Let g(u) = 16*u**3 - 2389*u**2 + 240014*u - 237611. Let j(q) = 5*c(q) - 8*g(q). Factor j(z).
-3*(z - 199)**2*(z - 1)
Let q(k) be the third derivative of