494. Let a be r(95). Let g(y) be the first derivative of 22 + 28/3*y**3 - a*y - 24*y**2. Factor g(q).
4*(q - 2)*(7*q + 2)
Let u(z) be the first derivative of -z**3/3 - 9*z**2 - 81*z - 760. Factor u(p).
-(p + 9)**2
Let n(j) be the second derivative of j**5/100 + 3*j**4/10 - 2*j**3/15 - 36*j**2/5 + 223*j. Factor n(a).
(a - 2)*(a + 2)*(a + 18)/5
Determine u so that 260*u**2 + 0*u + 2/3*u**4 + 0 - 394/3*u**3 = 0.
0, 2, 195
Let s(n) be the first derivative of n**4 + 1/5*n**5 + 145 - 1/3*n**3 + 0*n - 2*n**2. Solve s(v) = 0 for v.
-4, -1, 0, 1
Let a(c) = 37*c**2 - 54*c + 16. Let q be a(5). Let i = 671 - q. Determine z so that 0*z + 0*z**2 + i + 4/7*z**3 + 4/7*z**4 = 0.
-1, 0
Let z(g) be the second derivative of 5*g**4/3 + 466*g**3/3 - 188*g**2 - 130*g - 3. Suppose z(i) = 0. What is i?
-47, 2/5
Factor 438*f - 1284*f + 437*f + 457*f + 4*f**3 + 52*f**2.
4*f*(f + 1)*(f + 12)
Let l(f) = -29*f**2 + 29*f + 41. Let n(j) = -10*j**2 + 10*j + 14. Suppose -6*r + 187 = -17*r. Let b(m) = r*n(m) + 6*l(m). Factor b(h).
-4*(h - 2)*(h + 1)
Solve -77691448085*c - 29880*c**3 - 115323720030000 - 107567539915*c - 118355245*c**2 + 6753445*c**2 - 3*c**4 = 0 for c.
-2490
Let k(r) be the first derivative of 49 + 15/4*r**4 + 20*r**2 + 0*r + 70/3*r**3. Let k(q) = 0. What is q?
-4, -2/3, 0
Factor -1131*u**3 - 2280 - 279/2*u**4 + 3/8*u**5 - 3408*u**2 - 4554*u.
3*(u - 380)*(u + 2)**4/8
Let j(c) = -c**2 + 2*c + 71826. Let p be j(-267). Factor 0 + 2/7*a**p + 2/7*a**2 - 4/7*a.
2*a*(a - 1)*(a + 2)/7
Let x(n) be the third derivative of -2/315*n**7 + 0*n**3 - 5/18*n**4 + 0*n + 4/45*n**5 + 1/40*n**6 + 0 - 1/1008*n**8 + 59*n**2. Let x(f) = 0. What is f?
-5, -2, 0, 1, 2
Let n = 1968 + 243. Let p = -41959/19 + n. Let 6/19*c**3 - p + 130/19*c + 58/19*c**2 = 0. Calculate c.
-5, 1/3
Solve -904/9*o**2 - 308/9*o**3 + 34*o + 2/9*o**5 + 604/9 + 100/3*o**4 = 0 for o.
-151, -1, 1, 2
Determine r, given that -36/7 - 74/7*r**2 - 2/7*r**4 + 90/7*r + 22/7*r**3 = 0.
1, 3, 6
Let g(k) be the third derivative of 2/35*k**5 - 1/420*k**6 + 0*k**3 + 0*k - 3/7*k**4 + 82*k**2 + 2. Let g(b) = 0. Calculate b.
0, 6
Let o = -63 + 59. Let l be -2*(o + 4 + 1191/(-6)). Let -397 + l - 27*f**4 + 90*f**3 + 24*f - 84*f**2 = 0. What is f?
0, 2/3, 2
Suppose -21*y + 71 + 34 = 0. Let w(s) be the first derivative of 8 + 0*s**2 + 1/2*s**3 + 0*s - 3/10*s**y + 0*s**4. Factor w(i).
-3*i**2*(i - 1)*(i + 1)/2
Let f(o) be the third derivative of o**5/60 - 5*o**4/2 + 187*o**3/3 - 311*o**2. Let b be f(53). Let 5/2*w - 5/4*w**4 + 5*w**b + 0 - 25/4*w**2 = 0. Calculate w.
0, 1, 2
Let f = -1854301/4 - -463578. Factor f*x**3 - 23/2*x**2 - 2 + 13*x.
(x - 2)**2*(11*x - 2)/4
Suppose -58*y = 53*y - 65 - 601. Let b(q) be the second derivative of 0*q**2 + 4/3*q**4 - 1/5*q**5 + 8/3*q**3 + 2*q - 2/15*q**y + 0. Find c such that b(c) = 0.
-2, -1, 0, 2
Suppose 0*m + 2*m - 4 = 0. Suppose -3*n + 23 = 4*z, -4*n - 5*z = -5*n - 5. Solve 4 + 2*t**2 + 4*t**4 - 2*t**2 + t**n - 4*t**3 + 2*t - 8*t**m + t**5 = 0 for t.
-2, -1, 1
Factor -260 + 87*d**2 + 134*d - 16*d**2 - 21*d**2 - 21*d**2 - 31*d**2.
-2*(d - 65)*(d - 2)
Let s(b) = 4 + 12*b**2 - 7 + 148*b + 11*b**2 - 79 - 26*b**2. Let r(x) = 16*x**2 - 740*x + 408. Let l(z) = 5*r(z) + 24*s(z). Let l(v) = 0. Calculate v.
1/2, 18
Let h(l) be the second derivative of -l**4/3 + 148*l**3/3 - 426*l**2 + 503*l. Factor h(f).
-4*(f - 71)*(f - 3)
Let s(p) be the third derivative of 27*p + 3/28*p**4 + 0 + p**2 + 0*p**3 - 1/420*p**6 + 0*p**5. Factor s(z).
-2*z*(z - 3)*(z + 3)/7
Let l = 1127/51 + -217/17. Find m, given that -l*m + 1/9*m**4 + 4 + 61/9*m**2 - 14/9*m**3 = 0.
1, 6
Let z = -27/86 - -2311/7224. Let y(t) be the third derivative of z*t**4 + 0*t + 0*t**3 + 1/420*t**5 + 0 - 4*t**2. Factor y(n).
n*(n + 1)/7
Let c(a) be the second derivative of -a**5/4 - 67*a**4/12 + 107*a**3/3 + 48*a**2 - 1215*a. Factor c(m).
-(m - 3)*(m + 16)*(5*m + 2)
Let m(b) = -b**2 - 10*b - 21. Let w be m(-12). Let q be 637/5 - -3*6/w. Let -12*d - 36*d**2 + 136*d**4 - q*d**4 - d**3 + 4*d**3 = 0. Calculate d.
-2, -1/3, 0, 2
Determine p so that -155720872/3 - 1/3*p**3 - 538*p**2 - 289444*p = 0.
-538
Determine h, given that -23/2*h**3 - 1/4*h**4 + 34*h + 3/4*h**2 - 23 = 0.
-46, -2, 1
Factor -112 + 147*m**2 + 146*m**2 - 444*m**2 + 150*m**2 + 22*m.
-(m - 14)*(m - 8)
Let a(s) be the second derivative of s**7/210 - s**6/45 - s**5/6 + s**4 + 9*s**3/2 + 3*s**2/2 - 42*s. Let j(p) be the second derivative of a(p). Factor j(b).
4*(b - 3)*(b - 1)*(b + 2)
Let o(s) be the third derivative of 2/3*s**4 + 1/6*s**6 + 2 + 0*s - 8/15*s**5 + 11*s**2 + 0*s**3 - 2/105*s**7. Factor o(n).
-4*n*(n - 2)**2*(n - 1)
Suppose s = 6*s - 4*m - 18, 3*m = -6. Factor -11*i**2 - 26*i**s - 6*i - 23*i**2 + 4*i**3 - 58*i.
4*i*(i - 16)*(i + 1)
Let t be 674*((-81)/(-234) + 4/26). Let i = t - 337. Let i*j - 1/7*j**3 - 2/7*j**2 + 0 = 0. Calculate j.
-2, 0
Suppose 5*n + 20 = 0, -20 = 7*a - 2*a + 5*n. Suppose -c - 2*c + 12 = a. Factor 0*g**4 + 5*g**3 - 5*g**c + 4*g - 5*g + 16*g + 25*g**2.
-5*g*(g - 3)*(g + 1)**2
Find u such that -5/3*u**2 - 33 - 1/3*u**3 + 19*u = 0.
-11, 3
Let q be 2*(-88)/64*(6 - 532/77). Let q*r**2 - 1/2*r - r**3 - 1 = 0. What is r?
-1/2, 1, 2
Let d(m) be the first derivative of -6*m**2 + 71 + 4/3*m**3 - 40*m. Factor d(b).
4*(b - 5)*(b + 2)
Let x(w) be the second derivative of w**6/75 - w**5/5 + 4*w**4/5 + 2*w**3/3 - 5*w**2 + w + 1442. Factor x(s).
2*(s - 5)**2*(s - 1)*(s + 1)/5
Let m(a) be the second derivative of 0*a**2 + 1/20*a**5 - 5*a + 0*a**3 + 1/12*a**4 + 2. Solve m(u) = 0.
-1, 0
Suppose 1170 = -6*o + 1194. Factor o*j**2 + 2*j**4 + 173789*j + 6*j**3 - 173789*j.
2*j**2*(j + 1)*(j + 2)
Let f(t) be the second derivative of t**6/240 - 9*t**5/160 + t**4/16 + t**3/3 - 2*t + 23. Factor f(z).
z*(z - 8)*(z - 2)*(z + 1)/8
Factor 194/5*s - 2/5 + 198/5*s**3 + 394/5*s**2.
2*(s + 1)**2*(99*s - 1)/5
Let p be (655/(-262))/(-20 + 5). Determine d, given that 1/3*d**2 - p*d**3 + 1/6*d - 1/3 = 0.
-1, 1, 2
Determine a, given that 142*a**2 - 133*a**2 + 114*a - 3*a**4 + 188*a**3 + 72 - 224*a**3 = 0.
-12, -1, 2
Let z(o) be the first derivative of -o + 176 - 10/7*o**2 + 1/7*o**3. Factor z(j).
(j - 7)*(3*j + 1)/7
Factor -40/7*x + 34/7*x**2 + 2/7*x**3 - 72/7.
2*(x - 2)*(x + 1)*(x + 18)/7
Suppose 3/2*h**2 - 450 + 213/2*h = 0. What is h?
-75, 4
Factor -210*m**2 + 1473/7*m**3 + 0*m - 3/7*m**4 + 0.
-3*m**2*(m - 490)*(m - 1)/7
Let q = -369 - -1089. Factor q*b - 359 - 73*b**3 - 4*b**4 - 244*b**2 + b**3 - 41.
-4*(b - 1)**2*(b + 10)**2
Let b(h) = 3*h + h - 5*h - h**2 - h**3 + 0*h. Let n(o) be the second derivative of -3*o**5/20 + o**4/3 + o**3/6 - 124*o. Let d(v) = b(v) + n(v). Factor d(c).
-c**2*(4*c - 3)
Let k(u) be the first derivative of 41 - 46/9*u**2 - u**4 - 10/3*u - 32/9*u**3 - 2/45*u**5. Factor k(c).
-2*(c + 1)**3*(c + 15)/9
Let o(b) be the third derivative of b**5/15 + 707*b**4/72 - 59*b**3/18 + 9*b**2 - 7*b + 30. Find g such that o(g) = 0.
-59, 1/12
Let s(i) be the third derivative of i**5/60 - 53*i**4/12 + 35*i**3/2 + 7087*i**2. What is x in s(x) = 0?
1, 105
Let d(m) be the second derivative of m**4/24 - 91*m**3/4 + 271*m**2/2 - 8361*m. Solve d(k) = 0 for k.
2, 271
Find a, given that 130/3 + 262/3*a - 2/3*a**5 - 134/3*a**4 + 4/3*a**2 - 260/3*a**3 = 0.
-65, -1, 1
Let d be (-13 - 400/(-30))/(2/(-6)). Let k be d + 30/(-18) - -3 - -4. Let k*m**2 - 4/3 + 5/3*m**3 + 4/3*m = 0. What is m?
-2, -1, 2/5
Suppose 2*h - 4*n + 6920 = 6976, 72 = -3*h - 6*n. Suppose -1/3*m**4 + 0*m - 3*m**3 - 14/3*m**h + 0 = 0. Calculate m.
-7, -2, 0
Let b(k) be the first derivative of -8 - 1/12*k**3 - 1/8*k**2 - 1/48*k**4 - 4*k. Let j(c) be the first derivative of b(c). Determine m so that j(m) = 0.
-1
Let m = 374960 - 1865107/5. Let v = m + -1935. Find a, given that 12/5*a + 2/5 - v*a**4 - 12/5*a**3 + 16/5*a**2 = 0.
-1, -1/3, 1
Let z(j) be the first derivative of 10*j**5 - 2735*j**4/4 + 35575*j**3/3 + 25060*j**2 + 11760*j - 1918. What is v in z(v) = 0?
-1, -3/10, 28
Suppose 2*g + 5*b = 19, -g + 5*b = -0*g + 13. Determine p, given that -31*p**3 + g*p**2 - 3 - 2 + 3 + 8*p**3 + 23*p = 0.
-1, 2/23, 1
Let l(n) = 24*n + 10. Let q be l(3). Let f = q + -80. Suppose -6 + 8*d**3 - 7*d + 9*d**f + 4*d**5 - 5*d**5 - 3*d**2 = 0. Calculate d.
-2, -1, 1, 3
Factor -24 + 2/15*d**2 - 82/15*d.
2*(d - 45)*(d + 4)/15
Let u(z) = -z**3 - 9*z**2 -