*5 - 11/15*q**3 + 79*q**2 + 2*q. Factor x(g).
2*(g - 11)*(g + 1)**2/5
Determine o, given that -457 - 154*o - 133*o - 255*o - 663 - 28*o - 5*o**2 = 0.
-112, -2
Let i(x) be the second derivative of 7*x**4/8 - 19*x**3 - 72*x**2 - 3559*x. Determine t so that i(t) = 0.
-8/7, 12
Let f(c) = c**2 - 14*c + 19. Suppose 75 = -0*l + 5*l. Let u be f(l). Factor -4*h**2 - 135 - u - 27 + 56*h.
-4*(h - 7)**2
Let j = 272566/13893 + 22/1263. Let z(y) be the second derivative of 17/110*y**5 + 6*y + 36/11*y**3 - 15/11*y**4 - 1/165*y**6 + j*y**2 + 0. Factor z(a).
-2*(a - 6)**3*(a + 1)/11
Factor -135/2 + 1/4*s**2 + 3/4*s.
(s - 15)*(s + 18)/4
Let y = 167 + -70. Let x = y - 99. Let p(g) = 34*g + 128. Let i(h) = -h**2 + 69*h + 256. Let z(j) = x*i(j) + 5*p(j). Determine v so that z(v) = 0.
-8
Let z(b) be the first derivative of 3*b**5/2 - 57*b**4 + 345*b**3/2 - 381*b**2/2 + 84*b + 4187. Determine s, given that z(s) = 0.
2/5, 1, 28
Let z be -2 + (-105)/(-49) - (-33)/((-26565)/(-46)). Let 12*g**2 + z*g**3 + 62/5 - 123/5*g = 0. What is g?
-62, 1
Suppose 4829 - 4984 = -31*p. Find a, given that -3/2*a**3 - 1/4*a**4 + 1/4*a**p + 3/4 - 11/4*a + 7/2*a**2 = 0.
-3, 1
Suppose 9*d - 6 = 111. Determine k, given that 4 + d*k - 4*k**3 + 9*k**2 - 25*k + 3*k**2 = 0.
1
Let u(i) be the first derivative of i**5/5 - 4*i**4 + 31*i**3 - 117*i**2 + 216*i + 11425. Factor u(w).
(w - 6)*(w - 4)*(w - 3)**2
Let x(i) be the third derivative of i**6/360 - i**5/30 + i**4/8 - 29*i**3/2 - 2*i**2 - 5*i. Let y(h) be the first derivative of x(h). Factor y(w).
(w - 3)*(w - 1)
Determine m so that 1147/3*m + 381*m**3 + 2/3 + 2288/3*m**2 = 0.
-1, -2/1143
Suppose 1306*i + 146 = 1379*i. Factor -1/7*w**i + 0 - 2/7*w.
-w*(w + 2)/7
Suppose -2*p - 94 = -4*i, 4*p - 76 = -4*i - 0*p. Let n be (4/5)/((-4)/(-10)). Solve 18*q**n - i*q**2 + 64*q - 75 - 181 = 0.
8
Let b(w) be the first derivative of -29 - 20*w - 10/3*w**3 + 5/4*w**4 - 35/2*w**2. What is r in b(r) = 0?
-1, 4
Let f(i) be the second derivative of -i**7/84 + 13*i**6/20 + 17*i**5/8 - 119*i**4/24 - 14*i**3 + 41*i**2 - 1529*i + 1. Find r, given that f(r) = 0.
-2, 1, 41
Let p = -13285 + 13285. Factor 0 + 3/7*l**3 + 3/7*l**2 + p*l.
3*l**2*(l + 1)/7
Let j be 445/(-1869)*(1 - 238/140). Factor -19/3 - 37/6*t + j*t**2.
(t - 38)*(t + 1)/6
Let i(s) be the first derivative of -s**6/2 - 474*s**5/5 - 939*s**4/4 - 156*s**3 + 2527. Suppose i(g) = 0. Calculate g.
-156, -1, 0
Find w, given that -79/5 - 1/10*w**2 - 159/10*w = 0.
-158, -1
Let y be ((-187)/55 + 24/(1 - -5))/(14 + -11). Suppose 11/5*z + 2 + y*z**2 = 0. What is z?
-10, -1
Suppose 4*o + 60 = 16*o. Suppose o*t**5 + 232*t**2 + 9*t**4 - 2*t**5 - 129*t**2 - 115*t**2 = 0. Calculate t.
-2, 0, 1
Let y(w) = -19*w**2 - 75*w + 6. Let x(z) = -z**3 + 6*z**2 - 3*z + 14. Let t be x(6). Let s be y(t). Factor 1/2*j**3 - 1/2*j**4 + 0*j + 1/6*j**5 - 1/6*j**s + 0.
j**2*(j - 1)**3/6
Suppose -3*o + 6 = -i - 0, 0 = -5*o - 3*i + 10. Factor -330*x + 929 + 3*x**2 - o*x**2 - 4039 - 5965 - 4*x**2.
-3*(x + 55)**2
Let -60/7*i**3 - 3/7*i**4 - 612/7 - 15*i**2 + 780/7*i = 0. Calculate i.
-17, -6, 1, 2
Determine u so that 1136/3 - 2/3*u**2 + 42*u = 0.
-8, 71
Let n(b) = -15*b**3 + 7834*b**2 - 1014030*b - 3112605. Let v(p) = -5*p**3 + 2611*p**2 - 338015*p - 1037535. Let z(s) = 4*n(s) - 11*v(s). Factor z(t).
-5*(t - 263)**2*(t + 3)
Let q(c) be the third derivative of 1/210*c**5 + 0*c - 1/84*c**4 - 84*c**2 + 1/420*c**6 + 0 - 1/21*c**3. Solve q(j) = 0 for j.
-1, 1
Let z(j) be the first derivative of j**7/105 - 3*j**5/25 - 4*j**4/15 - j**3/5 + 13*j - 25. Let l(t) be the first derivative of z(t). Factor l(h).
2*h*(h - 3)*(h + 1)**3/5
Let c be -1*(84/231 - (-120)/(-352)*4) + -1. Factor 4/5*t**3 + c + 2/5*t + t**2 + 1/5*t**4.
t*(t + 1)**2*(t + 2)/5
Suppose -k = k - 4. Factor -3*y**2 - 36 + 24*y - 3*y**3 + 2*y**2 - 6*y**2 + 10*y**k.
-3*(y - 2)**2*(y + 3)
Determine i, given that 26/3 + 8/3*i**3 - 98/3*i**2 - 80/3*i = 0.
-1, 1/4, 13
Let l(h) = -h**3 - 19*h**2 + 22*h + 42. Let w be l(-20). Let c(q) be the first derivative of -315*q**3 - 1 + 314*q**3 - w. Factor c(j).
-3*j**2
Let l(v) = 4*v**4 + 529*v**3 + 17470*v**2 + 16900*v. Let d(o) = -6*o**4 - 794*o**3 - 26210*o**2 - 25350*o. Let h(i) = -5*d(i) - 8*l(i). Factor h(m).
-2*m*(m + 1)*(m + 65)**2
Suppose -14*w**3 - 284 - 262 + 582 + 6*w - 2*w**4 - 26*w**2 = 0. What is w?
-3, -2, 1
Let u be (-8)/((-88)/3113) + -3. Let l be ((-112)/u)/(4/(-15)). Factor -15/2*y + 3*y**2 + 3 - 6*y**4 + l*y**5 + 6*y**3.
3*(y - 2)*(y - 1)**3*(y + 1)/2
Let o(y) = 13*y**2 - 29. Let s(d) = -7*d**2 + 15. Let x be 4/(-3 - 44/(-12)). Let u(m) = x*o(m) + 11*s(m). Factor u(r).
(r - 3)*(r + 3)
Let m be (-3 - 205/(-75))/(-7*1 - (-8479)/1220). Determine g, given that 56/3*g**2 + 8*g + 2/3*g**5 + 0 + m*g**4 + 46/3*g**3 = 0.
-3, -2, -1, 0
Let m(p) be the third derivative of -p**5/120 - 49*p**4/12 - 65*p**3/4 + 1190*p**2. Factor m(z).
-(z + 1)*(z + 195)/2
Let p(h) be the third derivative of -9/11*h**3 - 3/110*h**5 + 0 - 58*h**2 + 9/44*h**4 + 0*h + 1/660*h**6. Suppose p(t) = 0. Calculate t.
3
Let a be (-20)/(-3)*(1 - 40). Let t be (a/(-40))/(2/36). What is g in 66*g**4 - 21*g**2 + 63*g**3 + 15*g**5 + t*g**2 + 39*g + 6 + 51*g**3 = 0?
-1, -2/5
Let s(n) be the third derivative of -89*n**2 - 1/735*n**7 + 1/84*n**4 - 1/70*n**5 + 0*n + 1/140*n**6 + 0*n**3 + 0. Determine t, given that s(t) = 0.
0, 1
Let b = -204199 + 204199. Factor 0 + 1/5*j**2 + b*j.
j**2/5
Suppose 28*m - 27*m + 1 = 4*x, x = 1. Factor 30*u - 678*u**3 + 5*u**2 - 676*u**3 + 1349*u**m.
-5*u*(u - 3)*(u + 2)
Let q(f) be the second derivative of 13*f**6/10 - 27*f**5/10 - 107*f**4/4 - 54*f**3 - 48*f**2 + f - 450. Suppose q(h) = 0. What is h?
-1, -8/13, 4
Let k(d) be the second derivative of d**4/4 + 17*d**3/2 - 252*d**2 + d - 295. Let k(c) = 0. What is c?
-24, 7
Let 560250*w**2 - 46875000 + 1476*w**3 + 224*w**3 + 547*w**3 + 3*w**4 + 46312500*w = 0. Calculate w.
-250, 1
Suppose -232*o + 2 = -229*o + 5*c, -5*o = 2*c - 16. Let f(t) be the third derivative of 0 + 3/80*t**5 - 2*t**2 - 1/8*t**3 - 1/16*t**o + 0*t. Factor f(s).
3*(s - 1)*(3*s + 1)/4
Let m(g) be the second derivative of -3 + g - 1/60*g**6 + 7/100*g**5 + 0*g**2 + 1/15*g**3 - 13/120*g**4. Solve m(i) = 0 for i.
0, 4/5, 1
Let r(l) = 19*l**2 - l + 2. Let y(c) = -115*c**2 - 79*c - 12. Let n(t) = 6*r(t) + y(t). Factor n(i).
-i*(i + 85)
Let d = -459406/5 + 91882. Factor -2/5*p**3 + 56/15*p + d*p**2 - 2/15*p**4 + 16/5.
-2*(p - 3)*(p + 2)**3/15
Let d(n) be the third derivative of -n**5/20 - 93*n**4/8 + 144*n**3 - 7724*n**2. Suppose d(f) = 0. Calculate f.
-96, 3
Let z = -51 - -65. Let m be 36/z + ((-31)/(-7) - 4). Find t such that 6 - 64*t**3 + 64*t**3 - m + 3*t**4 - 6*t**2 = 0.
-1, 1
Let a be -4 + 42/10 + 91/195. Let l(i) be the second derivative of a*i**4 + 0 - 2*i**2 + 17*i + 17/15*i**3. Factor l(d).
2*(4*d + 5)*(5*d - 2)/5
Let b(o) be the third derivative of -1/45*o**5 - 1/945*o**7 - 4/27*o**4 + 0 + o**2 + 1/60*o**6 - 6*o + 0*o**3. Factor b(w).
-2*w*(w - 8)*(w - 2)*(w + 1)/9
Suppose -256*j + 287*j - 66 = 27. What is i in 0*i + 0 + j*i**2 - 5/3*i**4 + 1/3*i**5 + i**3 = 0?
-1, 0, 3
Find r such that -607*r + 115*r + 123*r**3 - 3*r**4 - 1032 + 24338409*r**2 - 24338139*r**2 = 0.
-2, 2, 43
Let t be 10/(-72)*(-696)/2175. Let k(b) be the second derivative of 0 - 4*b - 1/150*b**5 + t*b**4 + 0*b**2 - 4/45*b**3. Find v, given that k(v) = 0.
0, 2
Let u(b) = -5*b**4 - 26*b**3 - 109*b**2 + 142*b + 540. Let i(h) = 6*h**4 + 18*h**3 + 108*h**2 - 141*h - 540. Let x(k) = 2*i(k) + 3*u(k). Factor x(f).
-3*(f - 2)*(f + 3)**2*(f + 10)
Let h(k) be the second derivative of 2*k**2 + 0 - 93*k - 40/21*k**3 - 1/7*k**4. Factor h(b).
-4*(b + 7)*(3*b - 1)/7
Factor -2290*s**3 - 4591*s**2 - 2705*s**2 + 4*s**5 + 2858*s**3 + 12996*s + 128*s**4.
4*s*(s - 3)**2*(s + 19)**2
Let l be (18 - (118048/210)/31) + (-1)/(-3). Let u(b) be the first derivative of -16/15*b**3 + l*b**4 + 2*b**2 - 8/5*b - 19. Factor u(j).
4*(j - 2)*(j - 1)**2/5
Let m = -419603 + 1258813/3. Factor v**3 + m - 11/3*v**2 + 8/3*v.
(v - 2)**2*(3*v + 1)/3
Let q be (-6)/24 + 51/12. Find p, given that 3*p**q - 8*p**4 + 40*p + 32 + p**4 + 4*p**5 - 28*p**2 - 44*p**3 = 0.
-2, -1, 1, 4
Let p = 934827 - 934815. Suppose -57/2*h**3 + 0 + 0*h - 15*h**2 - p*h**4 + 3/2*h**5 = 0. What is h?
-1, 0, 10
Factor -351/7*t + 66/7*t**2 