*3*(m + 1)*(m + 5)
Factor -326*b + 0 - 2/3*b**2.
-2*b*(b + 489)/3
Suppose 0 = -4*f + 430 + 94. Solve -f*a - a**2 - 3*a**2 + 191*a + 136 = 0 for a.
-2, 17
Let c(p) be the first derivative of 2/15*p**3 + 84/5*p + 23/5*p**2 + 106. Factor c(g).
2*(g + 2)*(g + 21)/5
Let u(q) be the second derivative of 7/9*q**2 + 0 - 59*q + 2/9*q**3 - 1/54*q**4. Determine b so that u(b) = 0.
-1, 7
Suppose -58 + 50 = -2*t - 2*j, t = 5*j + 10. Let l(d) be the second derivative of 0*d**2 + 4*d + 0*d**3 + 1/20*d**t + 0 - 1/30*d**4 - 1/50*d**6. Factor l(b).
-b**2*(b - 1)*(3*b - 2)/5
Let s be (50/(-240)*-18)/(12/16). Let y(a) be the first derivative of 1/2*a**4 + s - a**2 - a + 1/3*a**3. Solve y(t) = 0.
-1, -1/2, 1
Let v(i) = 5*i**3 + 46*i**2 + 107*i. Let z(w) = -5*w**3 - 48*w**2 - 106*w. Let o(k) = 6*v(k) + 7*z(k). What is n in o(n) = 0?
-10, -2, 0
Let h(l) = -2*l + 8. Let m = -28 + 31. Let b be h(m). Let -4*y - 97*y**b - 81*y - 18*y**2 - 10 + 210*y**3 = 0. What is y?
-2/7, -1/6, 1
Let o(t) = -t**2 - 22*t + 1. Let h(v) = 8*v**2 + 529*v - 1141. Let p(g) = 5*h(g) + 35*o(g). Factor p(q).
5*(q - 3)*(q + 378)
Let u = 5503/36620 - 1/3662. Let y(g) be the second derivative of -3/20*g**6 + 3/4*g**2 - u*g**5 - 8*g + 0 - 1/28*g**7 + 1/4*g**4 + 3/4*g**3. Factor y(b).
-3*(b - 1)*(b + 1)**4/2
Let j(p) = -p**3 - 2*p**2 + 2*p + 2. Let y(c) = -5*c**3 - 18*c**2 + c + 26. Let t(h) = 4*j(h) - y(h). Factor t(x).
(x - 1)*(x + 2)*(x + 9)
Let r(a) be the second derivative of 2*a**6/45 + 122*a**5/15 + 235*a**4/3 + 232*a**3 + a - 8168. What is c in r(c) = 0?
-116, -3, 0
Let o(w) = w**4 + 2*w**3 - 30*w**2 + 38*w + 70. Let h(x) = 3*x**4 + 5*x**3 - 87*x**2 + 113*x + 209. Let v(d) = -6*h(d) + 17*o(d). Let v(r) = 0. Calculate r.
-2, 4
Suppose y + 9*u + 17 = 4*u, -5*y + 27 = -3*u. Factor 2*n**4 + n**4 - 6*n**4 - 68*n**y - n**4.
-4*n**3*(n + 17)
Suppose -278*d + 307*d - 1 = -1. Let n(g) be the second derivative of -1/12*g**4 - 6*g - 3*g**2 + d - 7/6*g**3. Factor n(a).
-(a + 1)*(a + 6)
Suppose -7*x - 2*q = -3*x + 10, 4*x + q = -5. Let p(c) = 13*c**2 + 542*c - 168. Let m be p(-42). Find n, given that x - 4/5*n**2 - 2/5*n**3 + m*n = 0.
-2, 0
Suppose 70*v**2 - 271 - 10*v**3 - 59*v**2 - 10*v**3 + 76 + 194*v**2 + 730*v = 0. What is v?
-3, 1/4, 13
Determine m so that 582*m - 203699 + 28*m**3 - 157*m - 13*m**3 + 203699 + 160*m**2 = 0.
-17/3, -5, 0
Let k(v) be the third derivative of -v**6/540 - v**5/45 - 5*v**4/108 + 4*v**3/9 - 1174*v**2. Factor k(m).
-2*(m - 1)*(m + 3)*(m + 4)/9
Let u be (35/10 - 4)*0. Let r = 3 - u. Factor -114*h**2 + 8 - 100*h + 8*h - 256*h**4 + 450*h**2 - 100*h**r - 220*h**3.
-4*(h + 2)*(4*h - 1)**3
Factor 231*f**3 + 2*f**5 + 100*f**3 + 480*f**2 - 7*f**5 + 100*f**4 + 129*f**3.
-5*f**2*(f - 24)*(f + 2)**2
Let c(g) = -1237*g**3 + 1231*g**2 - 9*g - 5. Let y(p) = -4329*p**3 + 4308*p**2 - 33*p - 18. Let i(z) = 18*c(z) - 5*y(z). Solve i(j) = 0 for j.
-1/207, 0, 1
Let c(f) be the third derivative of -f**5/20 - 15*f**4/4 + 308*f**3 + 2514*f**2. Let c(w) = 0. Calculate w.
-44, 14
Let t = 493586/575687 + -20/82241. Factor -114/7 - 33*u - t*u**2.
-3*(u + 38)*(2*u + 1)/7
Let r(l) be the second derivative of -l**7/357 - 4*l**6/51 - 62*l**5/85 - 115*l**4/51 + 125*l**3/51 + 250*l**2/17 - 1324*l. What is f in r(f) = 0?
-10, -5, -1, 1
Let d(t) be the first derivative of -t**6/1080 + 7*t**5/360 + t**4/9 + 230*t**3/3 + 2. Let x(w) be the third derivative of d(w). What is k in x(k) = 0?
-1, 8
Let 824/3*q + 286/9*q**2 + 440/9 = 0. What is q?
-110/13, -2/11
Factor -394 - 561*b - 6*b**2 - 5*b**2 - 170 + 14*b**2.
3*(b - 188)*(b + 1)
Let n be 6 + -10 + 18/6. Let f be (n/10)/((-10)/280) + 2. Factor -4/5*a**3 - 4*a**2 + 0 - f*a.
-4*a*(a + 2)*(a + 3)/5
Suppose k = d + 7, 5*d + 17 = 3*k - 0*d. Find r such that -24 + 3*r**2 - 11*r - 4*r**2 + 2*r**2 + k*r = 0.
-4, 6
Factor -15480*w**2 + 5*w**3 - 2*w**5 + 7*w**5 + 15510*w**2 - 20*w**4.
5*w**2*(w - 3)*(w - 2)*(w + 1)
Let m(o) be the third derivative of o**7/42 - o**6/4 + 3*o**5/4 - 5*o**4/6 + 87*o**2 + 16*o. Suppose m(q) = 0. What is q?
0, 1, 4
Let u be 0*((-1386)/108 - -13). Factor -1/6*c**4 - 1/6*c**3 + 1/6*c + u + 1/6*c**2.
-c*(c - 1)*(c + 1)**2/6
Let o(d) = 2*d**3 + 38*d**2 + 16*d - 35. Let i(z) = z**2 + z. Let a(q) = i(q) + o(q). Let l be a(-19). Let -l*n - 1/2*n**2 + 0 = 0. What is n?
-6, 0
Let x(u) = 5*u**2 + 284*u - 3. Let s(b) = -10*b**2 - 565*b + 5. Let r(t) = -3*s(t) - 5*x(t). Factor r(q).
5*q*(q + 55)
Let v(d) = 23*d**3 - 188*d**2 + 201*d + 18. Let a(p) = -20*p**3 + 190*p**2 - 200*p - 15. Let w(i) = 6*a(i) + 5*v(i). Factor w(h).
-5*h*(h - 39)*(h - 1)
Let w(g) be the third derivative of 2*g**2 + 3/350*g**7 - 1/50*g**5 + 0*g**3 + 1/40*g**6 + 0*g - 8 + 0*g**4. Factor w(d).
3*d**2*(d + 2)*(3*d - 1)/5
Let t be 12/(-330)*-1*(-54)/(-12). Let v = 173/385 - t. Factor 2/21*y**3 + 10/21*y**2 + v*y - 6/7.
2*(y - 1)*(y + 3)**2/21
Let j be 6/4410*6/4. Let m = 2059/490 - j. Let -18/5*r - 3/5*r**2 + m = 0. What is r?
-7, 1
Let n(j) be the third derivative of -j**5/690 + 4*j**4/69 - 21*j**3/23 - 2027*j**2. Factor n(r).
-2*(r - 9)*(r - 7)/23
Let r = 248514 + -497023/2. Suppose -2*d + 4*d**2 + r*d**3 + 0 = 0. What is d?
-2, 0, 2/5
Let m be 546/(-1274) + ((-328)/(-112) - 2). Factor 0 + 1/2*d**2 - 1/2*d**4 - m*d + 1/8*d**5 + 3/8*d**3.
d*(d - 2)**2*(d - 1)*(d + 1)/8
Determine q so that -33/2*q**4 - 1/2*q**5 + 0 - 91/2*q**2 - 15*q - 93/2*q**3 = 0.
-30, -1, 0
Find f, given that -1728/5 - 15*f**2 + 624/5*f + 3/5*f**3 = 0.
8, 9
Factor 3*b + 297/2 - 3/2*b**2.
-3*(b - 11)*(b + 9)/2
Let q = 92834/4535 - 64/907. Solve 54/5 + 42/5*m**2 + q*m - 6/5*m**3 = 0 for m.
-1, 9
Let i(y) be the second derivative of 5/3*y**2 - 3/2*y**3 - 3/20*y**5 + 25/36*y**4 + 123*y + 0 + 1/90*y**6. Let i(p) = 0. Calculate p.
1, 2, 5
Suppose 2*q - q = 8. Let t be (-20)/q*56/(-5). Determine c, given that t - 34*c**2 + 130*c + 22 - 11*c**2 + 85*c = 0.
-2/9, 5
Let c = -22709835/26 + 873625. Let v = c - 339/2. Let 2/13*u**3 + v*u + 0 + 6/13*u**2 = 0. Calculate u.
-2, -1, 0
Let f(y) be the first derivative of 4 + 0*y + 2/15*y**3 + 4/5*y**2. Find c, given that f(c) = 0.
-4, 0
Let -92*o + 1506*o + 518*o - 2116 + 4*o**3 + 180*o**2 = 0. What is o?
-23, 1
Let k(i) be the first derivative of 3*i**3 - 2*i**2 - 1/2*i**4 + 0*i - 10. Factor k(b).
-b*(b - 4)*(2*b - 1)
Let n(s) be the second derivative of s**6/210 + 57*s**5/70 + 251*s**4/7 - 6785*s**3/21 + 10443*s**2/14 - 62*s - 14. Suppose n(a) = 0. What is a?
-59, 1, 3
Let k(h) be the first derivative of -2*h**4 + 32*h**3/3 + 4*h + 81. Let t(c) = 3*c**3 - 11*c**2 + c - 1. Let w(g) = 4*k(g) + 11*t(g). Factor w(a).
(a + 1)**2*(a + 5)
Let f(z) be the second derivative of -z**7/84 - 43*z**6/30 - 2902*z. Factor f(d).
-d**4*(d + 86)/2
Let x be 788/(-9)*(-218)/8. Let m = x - 2385. Factor 2/9*g**3 + 2/9*g - m*g**2 + 4/3.
2*(g - 3)*(g - 2)*(g + 1)/9
Suppose -24 = 2*d, -20*n - 2*d + 4*d + 64 = 0. Factor -3*c + 0 + 18*c**3 + 9/2*c**n + 21/2*c**4.
3*c*(c + 1)**2*(7*c - 2)/2
Let t(r) be the third derivative of -r**6/40 + 19*r**5/5 - 273*r**4/2 - 7056*r**3 - 45*r**2 - 3*r + 8. Factor t(c).
-3*(c - 42)**2*(c + 8)
Factor -1/4*z**2 + 665/4 + 4*z.
-(z - 35)*(z + 19)/4
Let c be (-7)/(-2) + (-32)/64. Suppose -18*r**2 + 69 - 2*r**3 - r**c + 27 = 0. Calculate r.
-4, 2
Let k(g) = -g**3 + 12*g**2 + 84*g + 21. Let z be k(17). Factor 7*c**2 + 10*c + 50*c + 0*c**2 - z*c**2 + 0*c.
3*c*(c + 20)
Factor -411/5*a - 3/5*a**2 - 2358/5.
-3*(a + 6)*(a + 131)/5
Suppose 9*u + 32 = 15*u + 2*u. Let b be (-2)/(-8) + (-7)/(-4). Suppose -b*x**u + 2*x**2 - 111*x + 111*x = 0. Calculate x.
-1, 0, 1
Let r(d) = 7*d**5 + 12*d**4 - 38*d**3 - 2*d**2. Let s(b) = -17*b**5 - 22*b**4 + 77*b**3 + 5*b**2. Let a(y) = -10*r(y) - 4*s(y). Factor a(g).
-2*g**3*(g - 2)*(g + 18)
Let h(z) be the third derivative of -z**8/112 - 37*z**7/70 - 17*z**6/5 - 33*z**5/5 - 2053*z**2. Find l such that h(l) = 0.
-33, -2, 0
What is m in -282/11 - 2/11*m**2 - 100/11*m = 0?
-47, -3
Determine n so that 120/19*n + 30/19*n**4 + 32/19 - 82/19*n**3 - 24/19*n**2 = 0.
-1, -4/15, 2
Let n be 30/42*-25 - (-1463)/77. Let s = 702/7 + -100. Factor -8/7 - s*m**2 - n*m.
-2*(m + 2)**2/7
Let g(w) = 9*w**2 + 15*w + 11. Let b(v) = 5*v**2 + 7*v + 6. Let j(f) = -11*b(f) + 6*g(f). Let k be j(12). Factor 14*y**2 - k*y**2 - 3 - 3*y**2 + 4*y.
-(y - 3)*(y - 1)
Suppose -5*h + z +