s**5 + s**5 + 726*s**3 - u*s**3 - 9*s**4 = 0. What is s?
-2, -1, 0
Let m = -26060 - -2606009/100. Let f(p) be the second derivative of 0*p**2 - 1/30*p**6 + m*p**5 + 1/210*p**7 + 14*p - 7/60*p**4 + 0 + 1/15*p**3. Factor f(n).
n*(n - 2)*(n - 1)**3/5
Let o = -889131 - -236509267/266. Let u = o - -5/38. Solve 0 - u*y**3 - 8/7*y**2 + 4/7*y = 0.
-1, 0, 1/3
Factor -4/5*m**3 + 899/5*m + 45 + 896/5*m**2.
-(m - 225)*(2*m + 1)**2/5
Factor 1/8*q**2 - 43/2 - 39/8*q.
(q - 43)*(q + 4)/8
Let v(b) be the third derivative of 1/2*b**3 + 0*b + 61*b**2 + 0 + 1/720*b**5 + 5/72*b**4. Factor v(r).
(r + 2)*(r + 18)/12
Determine w, given that 1512*w**2 - 6272/5*w - 2/5*w**5 + 18*w**4 + 0 - 1376/5*w**3 = 0.
0, 1, 14, 16
Let j = 54 + -44. Let p(w) = 10 - 5*w**2 - 10*w - 9*w + j*w. Let x(f) = 11*f**2 + 18*f - 19. Let m(q) = 5*p(q) + 2*x(q). Factor m(r).
-3*(r - 1)*(r + 4)
Let q(j) = j**3 - j**2 + 3. Let a(g) = -g**4 - 327*g**3 + 991*g**2 - 995*g + 338. Let v(m) = -a(m) + 2*q(m). Let v(k) = 0. What is k?
-332, 1
Let f(w) = -117 - 13*w + 2*w**3 - 19*w**3 + 295 - 89*w**2 + 19*w**2. Let t(m) = -35*m**3 - 140*m**2 - 25*m + 355. Let g(d) = 5*f(d) - 2*t(d). Factor g(r).
-5*(r + 3)**2*(3*r - 4)
Let d(j) be the first derivative of 2*j**3/33 + 82*j**2/11 - 166*j/11 + 1456. Factor d(f).
2*(f - 1)*(f + 83)/11
Suppose n = -5*v + 18, 3*n = -5*v - n + 12. What is g in -153*g**2 + 87*g**2 + 4 + 94*g**2 - 32*g**v + 2*g**3 + 22*g - 14*g**5 - 10*g**3 = 0?
-1, -2/7, 1
Let f be (-215818)/1827*(-3)/22. Let z = -173/11 + f. Suppose 0*m + 8/21*m**3 + 0 - 2/21*m**4 - z*m**2 = 0. What is m?
0, 2
Let q = 3547/318 - 355/1272. Factor 0 + 3/8*t**5 + 177/8*t**3 + 0*t + q*t**2 + 93/8*t**4.
3*t**2*(t + 1)**2*(t + 29)/8
Let s(j) be the third derivative of -j**5/12 - 695*j**4/6 - 193210*j**3/3 + 268*j**2 - 2*j + 1. Determine y, given that s(y) = 0.
-278
Suppose -4*m - 3*q = 32, -4*m - 33 = 2*q - 17. Factor -5/3*a**3 - 1/3*a**2 - 4/3 + 1/3*a**5 + 8/3*a + 1/3*a**m.
(a - 1)**3*(a + 2)**2/3
Find a such that -2/17*a**3 + 462/17*a**2 + 0 - 460/17*a = 0.
0, 1, 230
Let g = -685 - -687. Find o such that -5*o**g + 15 + 4*o**2 + 0*o**2 + 15*o - 31*o + 14*o = 0.
-5, 3
What is g in 8319*g**2 + 90 + 8181*g**3 + 3012*g - 567*g + 2982*g**3 - 3163*g**3 + 8881*g**2 = 0?
-2, -3/40
Suppose -33 = -4*c - 17. Suppose -9900*f**2 - 1650*f**c + 500*f - 2576*f**3 - 2120*f - 45*f**5 - 13089*f**3 = 0. Calculate f.
-18, -1/3, 0
Let h(w) be the first derivative of -w**5/420 - w**4/8 - 22*w**2 - 110. Let v(z) be the second derivative of h(z). Factor v(b).
-b*(b + 21)/7
Let r(p) = -p**4 - p**2 - p. Let n(w) = w**4 + 80*w**3 - 219*w**2 - 804*w. Let g(q) = n(q) + 6*r(q). Determine x, given that g(x) = 0.
-2, 0, 9
Let k(m) be the second derivative of -5*m**4/12 + 15*m**3/2 + 90*m**2 + 709*m. Find c, given that k(c) = 0.
-3, 12
Let l(k) = k**2 + 65*k - 74. Let m(n) = n**2 + 1. Let a = -315 - -316. Let y(r) = a*l(r) + 4*m(r). Suppose y(q) = 0. Calculate q.
-14, 1
Let j(m) be the first derivative of 2*m**6/15 - 4*m**5/5 - 11*m**4/3 - 4*m**3 + 298*m + 71. Let t(f) be the first derivative of j(f). Factor t(o).
4*o*(o - 6)*(o + 1)**2
Let t(k) = -k**3 - 28*k**2 - 113*k + 378. Let n be t(-8). Factor 0 + 48/7*u**3 + 0*u - 72/7*u**n + 2/7*u**5 + 22/7*u**4.
2*u**2*(u - 1)*(u + 6)**2/7
Let z(r) = 31*r**3 - 33*r**2 - 83*r + 101. Let n(x) = 216*x**3 - 234*x**2 - 582*x + 708. Let a(h) = -4*n(h) + 27*z(h). Factor a(p).
-3*(p - 1)*(3*p - 7)*(3*p + 5)
Let q(m) = -56*m**2 - 1234*m - 42. Let z be q(-22). What is x in 1/2*x**z + 1 - 3/2*x = 0?
1, 2
Let p(l) be the second derivative of -132*l + 55/36*l**4 + 5*l**3 + 0*l**2 + 0 + 1/12*l**5. Factor p(z).
5*z*(z + 2)*(z + 9)/3
Let n = -89 + 75. Let p(w) = w**2 + 12*w - 17. Let k be p(n). Find j, given that -4*j**3 + 5*j - 12*j**2 + 3*j + 4*j**4 - 3*j**4 + k*j**4 - 4*j**5 = 0.
-1, 0, 1, 2
Let w = 1912955 - 9564771/5. Let t = 4 - 2. Solve -4/5 - 1/5*a**t + w*a = 0.
2
Let g(a) be the first derivative of 11*a**3 + 183*a**2/2 + 90*a - 1170. Solve g(v) = 0 for v.
-5, -6/11
Let a = -2396 + 2407. Suppose -4*u + 32 = 2*t, -4*u + t + 32 = -0*t. Factor 0*s**3 - s**2 + 9*s**3 - 8*s**4 + a*s**3 - 3*s**2 - u*s.
-4*s*(s - 2)*(s - 1)*(2*s + 1)
Let v(i) = 2*i**2 - i - 8. Let g be v(-2). Suppose -29*c**3 - 6*c - 14*c - 4*c**4 + 2*c**3 - c**3 - 44*c**g = 0. Calculate c.
-5, -1, 0
Let j(c) be the first derivative of -47 - 1/25*c**5 + c - 4/15*c**3 - 3/5*c**2 + 3/10*c**4. Determine y, given that j(y) = 0.
-1, 1, 5
Let s(f) = f**3 + 7*f**2 - 7*f + 8. Let q be s(-8). Suppose q = 5*c - c - 36. Factor 4 - 7 + 3 + c*r + 3*r**3 - 12*r**2.
3*r*(r - 3)*(r - 1)
Let s(o) be the first derivative of 7/2*o**4 + 61/5*o**5 + 0*o + 0*o**2 + 0*o**3 + 71 - 3/2*o**6. Factor s(y).
-y**3*(y - 7)*(9*y + 2)
Let a = -117114 + 117118. Suppose -5*q + 5/4*q**3 + 1/4*q**a + 0*q**2 - 4 = 0. What is q?
-4, -2, -1, 2
Let g(x) be the first derivative of x**6/21 + 96*x**5/35 - 342*x**4/7 + 1440*x**3/7 - 12030. Factor g(c).
2*c**2*(c - 6)**2*(c + 60)/7
Let v = 50172340240/88267564203 - -2/247248079. Let i = v + 2/663. Factor -2/7*j**2 + 6/7*j - i.
-2*(j - 2)*(j - 1)/7
Let n(l) = 5*l**2 + 130*l + 849. Let t(s) be the first derivative of 5*s**3 + 195*s**2 + 2549*s - 48. Let m(c) = -7*n(c) + 2*t(c). What is w in m(w) = 0?
-13
Factor -165*y**3 - 11*y**5 - 2029*y**4 + 8*y**5 + 1981*y**4.
-3*y**3*(y + 5)*(y + 11)
Let o(z) = -z**3 - 41*z**2 - 203*z + 245. Let q be o(-35). Factor 2/15*c**2 + 4/15*c - 2/15*c**3 + q.
-2*c*(c - 2)*(c + 1)/15
Suppose 56*l = 51*l. Let r(m) be the first derivative of 1/13*m**2 + l*m + 5 - 4/65*m**5 - 1/39*m**6 + 0*m**4 + 4/39*m**3. Let r(h) = 0. Calculate h.
-1, 0, 1
Let x(y) = 103*y**2 + 281*y + 7. Let t(u) = 29*u**2 + 94*u + 2. Let c(j) = 7*t(j) - 2*x(j). Factor c(w).
-3*w*(w - 32)
Let n(k) be the first derivative of k**5 + 185*k**4 + 2915*k**3/4 + 6535*k**2/8 + 725*k/2 - 3180. Find y, given that n(y) = 0.
-145, -2, -1/2
Let z(w) be the first derivative of -w**4/12 - 79*w**3/9 - 295*w**2/6 + 125*w - 2576. Factor z(b).
-(b - 1)*(b + 5)*(b + 75)/3
Factor 2807/4*o**2 - 2811/8*o + 1/4.
(2*o - 1)*(2807*o - 2)/8
Let w(l) be the second derivative of l**6/120 + 19*l**5/40 - 127*l**4/48 - 41*l**3/6 + 817*l. Suppose w(s) = 0. What is s?
-41, -1, 0, 4
Let v(d) be the first derivative of 85*d**6/2 + 482*d**5 + 875*d**4/4 - 1460*d**3/3 - 90*d**2 - 661. Find g such that v(g) = 0.
-9, -1, -2/17, 0, 2/3
Let j(m) = m**3 - m**2 - 2*m. Let x(w) = -2 + 325*w + 325*w - 651*w + 1. Let o(f) = -j(f) - 3*x(f). Factor o(q).
-(q - 3)*(q + 1)**2
Let h(f) be the first derivative of f**3/12 + 37*f**2/8 + 9*f - 3309. Factor h(c).
(c + 1)*(c + 36)/4
Let t be 5/((-987)/(-2772) - (-2)/33). Let s(y) be the third derivative of -1/6*y**3 - 5/144*y**4 + 0 + t*y**2 - 1/360*y**5 + 0*y. Solve s(k) = 0.
-3, -2
Let v(m) be the first derivative of -m**6/33 - 2*m**5/55 + 59*m**4/22 - 74*m**3/11 + 54*m**2/11 - 169. Find o such that v(o) = 0.
-9, 0, 1, 6
Let t(q) be the third derivative of -q**5/180 - 7*q**4/18 - 22*q**3/3 - 1034*q**2. Let t(w) = 0. Calculate w.
-22, -6
Let -12/7 - 101/7*b**2 - 113/7*b = 0. What is b?
-1, -12/101
Let d(m) be the first derivative of m**6/1980 + 2*m**5/165 - 16*m**3/3 - m**2 + 13. Let n(p) be the third derivative of d(p). Let n(r) = 0. Calculate r.
-8, 0
Let k(y) be the first derivative of y**6/36 - 167*y**5/15 + 165*y**4/2 - 1972*y**3/9 + 656*y**2/3 - 2118. Solve k(s) = 0.
0, 2, 328
Solve 3906/5*j + 5292/5 - 74/5*j**3 + 474/5*j**2 + 2/5*j**4 = 0.
-3, -2, 21
Let y(u) be the third derivative of 1/9*u**4 + 0 - 4*u**2 + 0*u + 1/180*u**5 - 10/9*u**3. Factor y(l).
(l - 2)*(l + 10)/3
Let u = 41 - 223. Let l = u + 185. Factor -2/3*h**2 + 2/3*h**4 - 2/3*h + 2/3*h**l + 0.
2*h*(h - 1)*(h + 1)**2/3
Suppose 225*l - 76*l + 192*l - 1364 = 0. Let t = 123 - 859/7. Determine v so that 2/7*v**l + 0 + 0*v - t*v**3 + 0*v**2 = 0.
0, 1
Find t, given that -12*t**4 - 179*t**2 - 34*t**2 + 329*t**3 - 72*t - 32*t**3 = 0.
-1/4, 0, 1, 24
Suppose 297 + 39 = 48*y. Let k be (y/(770/12))/(12/60). Factor 0 - k*q - 7/11*q**3 + 23/11*q**2.
-q*(q - 3)*(7*q - 2)/11
Let l(r) = -5*r**3 - 376*r**2 + 783*r - 390. Let s(t) = -30*t**3 - 2257*t**2 + 4696*t - 2340. Let c(m) = 23*l(m) - 4*s(m). Determine f, given that c(f) = 0.
-78, 1
Factor 2/3*d**4 + 12*d**3 + 200 + 78*d**2 + 640/3*d.
2*(d + 2)*(d + 5)