 285*q**4/4 - 10224*q**3 + 30246*q**2 - 3*q - 1131. Factor d(p).
-3*(p - 142)**2*(p - 1)
Let a(z) be the second derivative of -6760*z**5 - 260*z**4/3 - z**3/3 + z + 4406. Suppose a(f) = 0. Calculate f.
-1/260, 0
Suppose -q - 1 = -4*q - d, 0 = -5*q - 5*d - 15. Let f be 2/12 - 95/(-6) - 0. Factor r**3 - 2*r**3 + 16*r + 7*r**3 + f*r**q - 2*r**3.
4*r*(r + 2)**2
Let f be -1*(7 - -129661)/(-7). What is u in -70*u**4 + f*u**2 - 18494*u**2 - 15*u**5 + 51*u**3 + 4*u**4 = 0?
-5, -2/5, 0, 1
Let -9375/7 - 3825/7*l - 405/7*l**2 - 3/7*l**3 = 0. What is l?
-125, -5
Let l = 626978/5 - 125394. Solve -2/5*p**4 + 18/5*p**2 + 0*p**3 - 24/5 + l*p = 0 for p.
-2, 1, 3
Find o such that 58*o**3 - 21*o**3 + 5372*o - 10*o**3 - 6936 + 226*o**2 + 1264*o**2 + 46*o**3 + o**4 = 0.
-34, -6, 1
Let c be (80/(-10) - 11)/(2/(-8)). Determine x so that -84*x**2 + 39*x**2 + 33 + 94*x + 7 + c*x = 0.
-2/9, 4
Let w(m) = 3*m**2 - 8*m - 3. Let r(x) = -x**2 + 3*x + 1. Let c(s) = 11*r(s) + 4*w(s). Let l(v) = -4*v**2 - 12*v + 6. Let y(g) = -10*c(g) - l(g). Factor y(h).
-2*(h - 1)*(3*h + 2)
Let c be (-105)/(-175)*(-25)/(-3). Let v be (265/(-90))/((-8)/16) + c. Solve v - 26/9*a**2 - 70/9*a - 2/9*a**3 = 0.
-7, 1
Let u be ((-2)/(24/4))/(225/(-54)). Let z(b) be the first derivative of -14/15*b**3 + 0*b - u*b**5 + 10 - 3/5*b**2 - 1/2*b**4. Factor z(q).
-2*q*(q + 1)**2*(q + 3)/5
Suppose -348 = 9*v + 337 - 712. Let l(y) be the first derivative of 32 + 0*y**v - 1/18*y**4 + 0*y + 1/9*y**2. Factor l(d).
-2*d*(d - 1)*(d + 1)/9
Suppose -10*b = 19 - 59. Let y be 364/169 + 4/(-26). Determine x, given that 5 + 80*x**y + 20*x - 4 + b + 20*x = 0.
-1/4
Let y = -1083 + 1101. Let s be 240/(-20)*(-8)/y. What is n in -4/3*n**3 + 20/3*n**2 - 32/3*n + s = 0?
1, 2
Factor -2*z**3 - 2348*z + 962 + 492*z**2 + 388*z**2 + 86*z**2 + 422*z.
-2*(z - 481)*(z - 1)**2
Let i = -291/304 + 2063/1520. Determine s so that 26/5*s - 24/5 - i*s**3 + 0*s**2 = 0.
-4, 1, 3
Let d(p) = 7*p**2 + 5790*p + 1676213. Let u(m) = 36*m**2 + 28950*m + 8381069. Let x(q) = -11*d(q) + 2*u(q). What is j in x(j) = 0?
-579
Let a be (((-222)/(-3700))/((28/(-60))/7))/(1/(-2)). Factor a - 12/5*f + 3/5*f**2.
3*(f - 3)*(f - 1)/5
Let l(w) = 3*w**3 - 4*w**2 - 21*w + 34. Let f(d) = -d**3 - 2*d**2 + d - 1. Let v(r) = -2*r + 74. Let k be v(43). Let o(t) = k*f(t) - 3*l(t). Factor o(p).
3*(p - 1)*(p + 3)*(p + 10)
Solve 1/11*k**4 + 509/11*k**3 + 0*k + 0 + 508/11*k**2 = 0.
-508, -1, 0
Let x = 35 + -80. Let v = x + 47. Suppose -4*i - 4 - i**2 - v + 3*i**2 = 0. Calculate i.
-1, 3
Let j(g) be the first derivative of -167 + 6*g - 3/2*g**4 + 2/5*g**5 - 8/3*g**3 + 5/2*g**2 + 1/6*g**6. Find n, given that j(n) = 0.
-3, -1, 1, 2
Let o = -132622 + 1724094/13. Find k such that o*k**2 - 2/13*k**3 + 8/13*k - 32/13 = 0.
-2, 2, 4
Let v = -4/2189 + 2229/21890. Let t(u) be the second derivative of 6*u - 1/20*u**5 - 2*u**2 + 1/42*u**7 + v*u**6 - 11/12*u**4 + 0 - 2*u**3. Factor t(g).
(g - 2)*(g + 1)**3*(g + 2)
Let l = 9467/1428 - 225/34. Let z(p) be the second derivative of 0 + 0*p**6 - l*p**7 + 3/40*p**5 - 20*p + 0*p**3 + 0*p**2 - 1/12*p**4. What is b in z(b) = 0?
-2, 0, 1
Let m(a) be the third derivative of -a**7/210 - 47*a**6/120 - 67*a**5/30 - 11*a**4/3 - 1201*a**2. Find n such that m(n) = 0.
-44, -2, -1, 0
Let y(k) be the second derivative of k**5/20 - 5*k**4/18 - k**3/2 + 2*k**2/3 - 59*k - 6. Factor y(o).
(o - 4)*(o + 1)*(3*o - 1)/3
Let l(h) be the second derivative of 2*h**6/15 - 12*h**5/5 + 46*h**4/3 - 40*h**3 + 50*h**2 + h + 521. Factor l(y).
4*(y - 5)**2*(y - 1)**2
Let f(r) = -159*r + 957. Let o be f(6). Let x(w) be the third derivative of -2/3*w**o + w**4 + 0*w - 24*w**2 - 3/5*w**5 + 0. Let x(b) = 0. Calculate b.
1/3
Let i(r) be the first derivative of 5*r**6/24 - r**5/16 - r**4/3 - r**3/6 - 230*r - 23. Let a(k) be the first derivative of i(k). Find d, given that a(d) = 0.
-2/5, 0, 1
Suppose -28739*v + 28967*v - 185 = 145 + 126. Find b such that -45/2*b**v + 10*b - 5/6 = 0.
1/9, 1/3
Let k = 1930135/147477 - -43/13407. Factor -18/11*c**3 - 40*c + 348/11*c**2 + k.
-2*(c - 18)*(3*c - 2)**2/11
Let k(o) be the third derivative of -o**5/90 - 113*o**4/18 - 216*o**2 - 2*o. Factor k(l).
-2*l*(l + 226)/3
Suppose 19*p = 5*p - 1 + 29. Find z such that 352*z - 192 - 484/3*z**p = 0.
12/11
Let x(a) be the first derivative of 39/2*a**4 + 56*a**3 + 42*a - 1 + 141/2*a**2 + 6/5*a**5 - 1/2*a**6. Find h, given that x(h) = 0.
-2, -1, 7
Let l be ((-1)/(-3))/(4/24). Let c be 2/(-4)*(-7 - (l + -3)). Factor 0*o**3 - 4*o**c - 3*o + 13*o - 32 + 6*o + 8*o**2.
-4*(o - 2)**2*(o + 2)
Let g(c) be the third derivative of c**9/756 - 23*c**8/1680 + c**7/60 + c**6/72 + 31*c**3/3 - c**2 + 25. Let h(b) be the first derivative of g(b). Factor h(v).
v**2*(v - 5)*(v - 1)*(4*v + 1)
Let w be (3 - 0)/(81/3024). Suppose 33 - 24 + 6*y + 109*y**2 - w*y**2 = 0. Calculate y.
-1, 3
Let c(d) be the second derivative of -d**7/21 - 4*d**6/15 - 3*d**5/5 - 2*d**4/3 - d**3/3 - 1207*d. Let c(r) = 0. What is r?
-1, 0
Let c = -18129/5 + 3626. Let o(f) be the second derivative of 0*f**2 + 0 - 4*f + c*f**5 - 4/3*f**3 + 1/3*f**4. Determine b, given that o(b) = 0.
-2, 0, 1
Let w = 863/3 + -266. Let g(v) be the first derivative of 15/2*v**4 + w*v**3 + v**5 + 13 + 20*v + 30*v**2. Find s such that g(s) = 0.
-2, -1
Factor 166/3 - 1/6*z**2 + 79/6*z.
-(z - 83)*(z + 4)/6
Let k be 8/9 - 0/1. Let m = -449543 - -1348633/3. Factor k + 0*b**2 + 4/9*b**3 - m*b.
4*(b - 1)**2*(b + 2)/9
Let s(i) be the third derivative of i**6/30 + 82*i**5/15 + 239*i**4/6 + 316*i**3/3 - 2*i**2 + 5*i. Factor s(p).
4*(p + 1)*(p + 2)*(p + 79)
Let j(d) be the first derivative of d**7/5880 - d**5/210 - 43*d**3/3 - 79. Let a(q) be the third derivative of j(q). Determine s, given that a(s) = 0.
-2, 0, 2
Let c = 26 + -18. Suppose -w - z = -c, 4*z = -w + 15 - 1. Factor -w*f + 4*f**2 - 4*f + 0*f - 2*f**2.
2*f*(f - 5)
Find k, given that -26*k**2 + 2722*k**4 + 209*k**2 + 7*k**3 + 198*k - 25*k**3 - 2725*k**4 = 0.
-11, -1, 0, 6
Let i(s) be the second derivative of 11 - 2*s - 13/21*s**4 - 22/21*s**3 + 4/7*s**2. Find n, given that i(n) = 0.
-1, 2/13
Suppose o + 1 = 4. Let z be (1 + 4)*(-10)/(-25). Factor 6*x - 6*x + 11*x**o + 5*x**3 - 4*x**z.
4*x**2*(4*x - 1)
Let o be (-1 - -8) + (-6)/20*8685/386. Let 1/4*n**2 - 1/2*n + o = 0. What is n?
1
Let y(d) be the second derivative of -92*d + 21*d**3 + 0 - 13/6*d**4 + 10*d**2. Solve y(p) = 0 for p.
-2/13, 5
Let n be 19/(-95) - ((-4)/7 + 1207/(-595)). Determine l so that 0 - 16/5*l**3 + 4/5*l**4 + 0*l + n*l**2 = 0.
0, 1, 3
Let n(k) = -30 - 8 + 2*k + 38 - 20. Let s be n(12). Factor 69*z**3 + 3606 + 43*z**3 + 5998 + 4*z**s + 5488*z + 1176*z**2.
4*(z + 7)**4
Factor 16800*c - 15512 - 4*c**4 - 13233 - 7864 + 8385 - 27*c**3 - 173*c**3 - 1828*c**2.
-4*(c - 3)**2*(c + 28)**2
Let v(y) = -31*y**2 + 109*y - 45. Let z be v(3). Factor 25/3*w**2 + 5/3*w**z + 40/3*w + 20/3.
5*(w + 1)*(w + 2)**2/3
Let w(r) be the first derivative of -2*r**5/45 + 86*r**3/27 - 14*r**2/3 - 1366. Solve w(z) = 0 for z.
-7, 0, 1, 6
Let x(b) be the first derivative of 2*b**3/15 - 277*b**2/10 + 138*b/5 - 1059. Factor x(f).
(f - 138)*(2*f - 1)/5
Let r = 422 - 357. Find j such that 4033*j**3 + 85*j + r*j + 2*j**4 - 4007*j**3 + 110*j**2 = 0.
-5, -3, 0
Let h be 37 - (17160/300 - 34). Determine f, given that -h*f + 66/5 + 3/5*f**2 = 0.
1, 22
Suppose 0 = 7*y + 48 + 15. Let o be (17/2 + 4)/((-15)/y). Solve -3/2*h**4 + o*h**2 - 9/2*h**3 - 6 + 9/2*h = 0 for h.
-4, -1, 1
Suppose 1330819 = -23*a + 1330865. Factor -1/2*z**3 + 0*z + 0 - 2*z**a + 1/4*z**4.
z**2*(z - 4)*(z + 2)/4
Let n(c) be the third derivative of 2 + 1/30*c**4 + 0*c**3 - 1/150*c**5 + 0*c + 32*c**2. What is u in n(u) = 0?
0, 2
Suppose 96 = -117*r + 119*r. Let u = 51 - r. Factor -8*c + 8 - 8*c + 2*c**u + 6*c**2 - 2*c**4 + 2*c**3.
-2*(c - 2)*(c - 1)**2*(c + 2)
Suppose 35/4*q**3 - 290 - 1165/4*q**2 + 2195/2*q = 0. What is q?
2/7, 4, 29
Let h = 183 + -173. Let x be h/14*(-96)/(-20). Solve 12/7*s**3 + 18/7*s**2 + 2/7*s**4 - x - 8/7*s = 0.
-3, -2, 1
Suppose 2*q + 178 - 160 = 0. Let x(r) = -20*r**2 - 209*r - 393. Let y(t) = -5*t**2 - 52*t - 99. Let u(l) = q*y(l) + 2*x(l). Suppose u(o) = 0. What is o?
-7, -3
Factor -68/3*j**2 - 1/3*j**3 - 133/3*j - 22.
-(j + 1)**2*(j + 66)/3
Let l be (-8)/(-192)*6 + (-665)/5700. Factor -8/15*u**4 - l*u*