2*t**3/27 + 1259*t**2/9 - 5755. Let n(p) = 0. What is p?
0, 1259
Let d(w) be the third derivative of -w**5/450 + 112*w**4/15 - 50176*w**3/5 + 3*w**2 - 218. Factor d(g).
-2*(g - 672)**2/15
Let k(x) be the third derivative of x**8/1344 + x**7/280 - x**6/120 - 2*x**2 + 1179. Factor k(s).
s**3*(s - 1)*(s + 4)/4
Let o(y) be the third derivative of y**5/15 + 145*y**4/3 - 194*y**3 + 677*y**2. Factor o(a).
4*(a - 1)*(a + 291)
Let u(a) be the first derivative of -a**5/20 + 61*a**4/16 + 31*a**3/6 + 341. Factor u(q).
-q**2*(q - 62)*(q + 1)/4
Let a(m) = -19*m**2 + 1347*m + 2832. Let u(f) = -16*f**2 + 1338*f + 2833. Let c(b) = 3*a(b) - 2*u(b). Suppose c(v) = 0. Calculate v.
-2, 283/5
Find m, given that 4*m**2 + 232*m**5 - 7*m**4 - 242*m**5 - 3*m**4 - 38*m + 12 + 48*m**3 - 9*m**4 + 3*m**4 = 0.
-3, -1, 2/5, 1
Let r(y) be the third derivative of 0*y - 1/735*y**7 + 0 + 2/21*y**5 - 1/210*y**6 - 2/7*y**4 + 0*y**3 + 33*y**2. Factor r(z).
-2*z*(z - 2)**2*(z + 6)/7
Let d(u) = 22*u + 311. Let h = -1739 + 1725. Let a be d(h). Find g such that -8/5*g**5 + 6/5*g**4 + 0*g + 3/5*g**a - 1/5*g**2 + 0 = 0.
-1/2, 0, 1/4, 1
Let m(c) = -2*c**2 + 232*c + 1607. Let q(u) = 12*u**2 - 1276*u - 8836. Let g(h) = 28*m(h) + 5*q(h). Let g(v) = 0. What is v?
-17, -12
Factor 2520*n + 5/2*n**2 + 635040.
5*(n + 504)**2/2
Let s(z) = -347*z**5 - 184*z**4 + 852*z**3 - 439*z**2 + 64*z + 9. Let q(b) = b**5 + 6*b**4 - b**2 - 1. Let d(n) = 18*q(n) + 2*s(n). Solve d(y) = 0.
-2, 0, 4/13, 1
Let z(j) be the third derivative of j**7/70 + 3*j**6/8 - 3*j**5/20 - 47*j**4/8 - 15*j**3 + j**2 - 2410*j. Let z(q) = 0. Calculate q.
-15, -1, 2
Let b(y) be the second derivative of 5/3*y**4 - 5 - y + 0*y**2 + 10/3*y**3 + 1/4*y**5. Suppose b(l) = 0. What is l?
-2, 0
Let r(i) be the first derivative of -i**4/2 + 14*i**3 - 143*i**2 + 630*i + 1864. Factor r(h).
-2*(h - 9)*(h - 7)*(h - 5)
Let z = 18502 + -18500. Find n such that -10/3*n**3 + 0*n + 0 + 5/6*n**z = 0.
0, 1/4
Let r(p) be the second derivative of p**4/54 - 89*p**3/27 + 88*p**2/9 - 35*p - 24. Factor r(k).
2*(k - 88)*(k - 1)/9
Let m(z) = 6*z**3 + 672*z**2 - 2388*z + 2384. Let h(p) = 4*p**3 + 655*p**2 - 2389*p + 2384. Let o(n) = -4*h(n) + 3*m(n). Factor o(t).
2*(t - 298)*(t - 2)**2
Let p(m) be the first derivative of -12168/7*m - 2/21*m**3 - 242 + 156/7*m**2. Let p(i) = 0. What is i?
78
Let m be 6/((-1)/(-1)) - 4. Let s(d) = -d**2 + 16*d - 3. Let u be s(7). Let u*c**4 + 185*c**3 + 41*c**2 - 10 + 58*c**m + c**2 + 30*c**2 - 5*c = 0. What is c?
-2, -1, -1/3, 1/4
Factor -5*n**2 + 41398 - 171660 - 192737 + 2954 - 2530*n.
-5*(n + 253)**2
Suppose 4*n - 2*b = 24, 6*n - 11*n + 4*b = -36. Determine s, given that 15*s**n + 11*s**4 - 5*s**4 - s**4 - 144*s - 132*s**3 - 416*s**2 = 0.
-2, -2/5, 0, 9
Let r(p) be the first derivative of 448*p**5/5 - 113*p**4 + 4*p**3/3 + 1804. Factor r(l).
4*l**2*(l - 1)*(112*l - 1)
Let x = 580/23 - 4909/46. Let d = 83 + x. Find l such that d*l**3 + 3/2*l + 0 - 3*l**2 = 0.
0, 1
Suppose 0 = 5*q - 64 + 49. Factor -5*p**3 - 12*p**4 + 0*p**q + 13*p**4 + p**3 + 3*p**2.
p**2*(p - 3)*(p - 1)
Let a(z) be the first derivative of -3*z**4/8 + 372*z**3 - 138384*z**2 + 22879488*z + 1171. Factor a(m).
-3*(m - 248)**3/2
Let f(p) = -p**4 - p**3 + p**2 - p + 1. Let t(j) = 5*j**5 - 435*j**4 + 1710*j**3 - 2115*j**2 + 845*j - 5. Let q(n) = 5*f(n) + t(n). Let q(i) = 0. What is i?
0, 1, 2, 84
Suppose 0 = -5*l - 12*l + 18*l. Let q(c) be the third derivative of -1/120*c**4 + 2*c**2 + 0*c**3 - 1/600*c**6 + 0 + l*c - 1/150*c**5. Factor q(r).
-r*(r + 1)**2/5
Let t be 183/38 - (-4 + -1)*-1. Let f = 6/19 - t. Factor 2/3 + 0*z - f*z**2 + 1/6*z**3.
(z - 2)**2*(z + 1)/6
Let i be (2/20)/(100/3 + -33). Let j(y) be the second derivative of -i*y**5 - 2/3*y**3 + 0 + 0*y**2 - 4/15*y**6 - 9*y + 3/2*y**4. What is d in j(d) = 0?
-2, 0, 1/4, 1
Factor -45323854*u - 916*u**2 - 113807148520 + 3*u**3 - 41594*u**2 - 16*u**3 + 8*u**3 - 75149486*u.
-5*(u + 2834)**3
Solve 3/2*p**3 + 6615/2*p - 144*p**2 + 7203 = 0.
-2, 49
Let q(o) be the second derivative of -o**7/210 + o**6/24 - 7*o**5/60 + o**4/8 - 281*o**2/2 + o - 74. Let c(y) be the first derivative of q(y). Factor c(m).
-m*(m - 3)*(m - 1)**2
Let h be 6 + (-4)/(-8)*-4. Let l(y) be the first derivative of 148*y**h - 5*y**3 - 2 - 148*y**4 - y**5 + 2*y**5 + 5*y**2. Find f such that l(f) = 0.
-2, 0, 1
Let i = -392 + 395. Determine s so that 17521 - 15120*s**2 - 171072*s - 428*s**i - 4*s**4 + 110558 + 58545 = 0.
-36, 1
Let p be 4/(40/15) - (-1)/2. Find y, given that -5*y**p + 3 + 0 + 2*y**2 + 9 = 0.
-2, 2
Let -217/4*b + 1 - 109/8*b**2 = 0. What is b?
-4, 2/109
Factor 7/4*q**4 + 23/4*q**3 - 9*q - 30*q**2 + 0.
q*(q - 3)*(q + 6)*(7*q + 2)/4
Let g be -2*(-10)/4 - 0. Let v(w) = 7*w**2 + 5*w + 8. Let a be v(g). Factor 306*n**2 + 4 - 64*n**4 + 393*n**4 + 58*n - a*n**4 + 702*n**3 + 473*n**4.
2*(3*n + 1)**3*(11*n + 2)
Suppose 0*s + k = 4*s - 102, 4 = -2*k. Solve 30 - 30*c**3 - 138*c - 42*c + 155*c**2 - s*c = 0 for c.
1/6, 2, 3
Determine w, given that -12482/3 - 1/6*w**2 - 158/3*w = 0.
-158
Factor -3120 - 9364*q - 46*q**2 + 9*q**2 + 15*q**2 + 10*q**2.
-4*(q + 780)*(3*q + 1)
Let t be (-8 - -8)/(72/9) + -5 + 7. Let 28/5*d + 4/5*d**3 + 0 + 32/5*d**t = 0. What is d?
-7, -1, 0
Let p = -7529890/7 + 1075734. Solve p*m - 7688/7 - 2/7*m**2 = 0.
62
Suppose -18481*l + 18548*l = 0. Factor l - 1/2*y**2 + 1/4*y**3 - 15/4*y.
y*(y - 5)*(y + 3)/4
Let m(t) be the third derivative of t**6/300 - t**5/10 + 3*t**4/5 - 1798*t**2. Solve m(c) = 0 for c.
0, 3, 12
Suppose -54*m + 5 = -53*m. Let f(v) = -v + 12. Let z be f(3). Find d such that 6*d**3 - z*d**3 - m*d**2 - 2*d**3 = 0.
-1, 0
Let d(m) be the first derivative of 2*m**4/3 - 5*m**3/3 - 481*m**2/3 - 40*m - 5528. Factor d(v).
(v - 12)*(v + 10)*(8*v + 1)/3
Let d(q) be the first derivative of q**4/24 - 565*q**3/18 + 615. Factor d(l).
l**2*(l - 565)/6
Factor -465/4*d + 1/4*d**2 - 351.
(d - 468)*(d + 3)/4
Suppose 0 = -20*w + 10*w - 380. Let m be (w/14 - 0) + (127 - 124). What is o in 2/21*o**2 + 8/21*o + m = 0?
-3, -1
Suppose -8*m + 1 = 3*d - 39, 40 = 4*m + 4*d. Factor 1/4*q**3 + 0 + q + 5/4*q**m.
q*(q + 1)*(q + 4)/4
Let p(w) = 23*w**2 - 524*w + 591. Let z(n) = -10*n**2 + 266*n - 296. Let t(b) = -4*p(b) - 9*z(b). Factor t(u).
-2*(u - 1)*(u + 150)
Let z(h) be the second derivative of 1/15*h**5 + 1/9*h**4 - 6*h - 4/3*h**3 + 0*h**2 + 0. Suppose z(q) = 0. What is q?
-3, 0, 2
Suppose -2*h - 5*m + 235 = -0*h, 0 = h + 3*m - 115. Suppose -45*k = -50*k + h. Determine l, given that 24*l**2 - 13*l - k*l**2 - l = 0.
-7, 0
Let o be ((-9)/6)/((-180)/53232). Let i = o - 443. Determine m so that -6/5*m + 0 - i*m**3 - 9/5*m**2 = 0.
-2, -1, 0
Let p(j) be the second derivative of 5*j**4/12 + 215*j**3/6 + 205*j**2 - 996*j. What is l in p(l) = 0?
-41, -2
Factor -1/6*p**3 - 60*p + 216 + 11/2*p**2.
-(p - 12)**2*(p - 9)/6
Let h(f) be the first derivative of f**7/70 + f**6/4 + 9*f**5/20 + 161*f**2/2 + 194. Let j(d) be the second derivative of h(d). Factor j(w).
3*w**2*(w + 1)*(w + 9)
Determine b, given that -3888 - 11496*b**2 - 13824*b - 121/3*b**4 + 1408*b**3 = 0.
-6/11, 18
Suppose 58*x + 16 = -2*f + 55*x, -5*f = x + 1. What is o in -4/3*o**3 + f - 1/3*o**4 - 2/3*o**2 + 4/3*o = 0?
-3, -1, 1
Let s(b) be the second derivative of 2*b**7/21 + 4*b**6 + 104*b**5/5 - 502*b**4/3 + 378*b**3 - 400*b**2 - 1819*b. Determine q, given that s(q) = 0.
-25, -8, 1
Let v be ((-456)/(-40) + -11)/((-6)/(-25)). Let h(q) be the first derivative of -10*q + 5/2*q**2 - 2 + v*q**3. Factor h(t).
5*(t - 1)*(t + 2)
Let x(n) = -n**2 - 1763*n - 790327. Let k(u) = -u**2 - 1758*u - 790329. Let b(v) = 3*k(v) - 4*x(v). Solve b(o) = 0.
-889
Suppose w + 3*r - 9 = 0, -4*w + 5 = -4*r - 15. Let d(k) be the third derivative of 0*k + 0*k**4 - 1/300*k**w + 10*k**2 + 0*k**3 - 1/75*k**5 + 0. Factor d(p).
-2*p**2*(p + 2)/5
Solve 141/2*x - 33/4*x**2 + 135/4 = 0 for x.
-5/11, 9
Let u(l) be the third derivative of 2*l**7/15 - 73*l**6/10 + 1112*l**5/15 + 454*l**4 - 576*l**3 - 2*l**2 + 4097. Let u(w) = 0. What is w?
-2, 2/7, 9, 24
Let i(x) = -47*x**2 - 5103*x - 1300497. Let w(r) = 14*r**2 + r - 1. Let a(d) = i(d) + 3*w(d). Factor a(b).
-5*(b + 510)**2
Let k be 680/700 - (-28)/(-70). Let g(o) be the first derivative of -8 + 18/7*o**2 - 1/7*o**4 + 20/7*o + k*o**3. Factor g(y).
-4*(y - 5)*(y + 1)**2/7
