 2/13*u**2 + p + 2/13*u = 0.
-1, 0
Let t(q) = -44*q**3 + 3468*q**2 - 96260*q + 866020. Let m(u) = -4*u**3 + 315*u**2 - 8751*u + 78729. Let j(s) = 32*m(s) - 3*t(s). Factor j(o).
4*(o - 27)**3
Let k(l) = -9*l**2 - 3*l. Let t(q) = 2*q + 8*q**2 + q - 25 + 25. Let h(w) = 5*k(w) + 6*t(w). Factor h(g).
3*g*(g + 1)
Suppose l - 2*l = -2, -5*w + 1108 = 4*l. Let c = 224 - w. Factor 0 - 3/2*i**3 + 3/2*i + 3/2*i**2 - 3/2*i**c.
-3*i*(i - 1)*(i + 1)**2/2
Let u(g) = -5*g**3 - 56*g**2 - 375*g + 392. Let q(m) = -4*m**3 - 55*m**2 - 367*m + 393. Let c(a) = 4*q(a) - 3*u(a). Factor c(p).
-(p - 1)*(p + 9)*(p + 44)
Let h(j) be the first derivative of -j**4 - 2072*j**3/3 - 1034*j**2 - 526. Factor h(q).
-4*q*(q + 1)*(q + 517)
Let x(t) be the second derivative of -t**5/170 - 116*t**4/17 - 53824*t**3/17 - 12487168*t**2/17 + 2527*t. Suppose x(c) = 0. What is c?
-232
Let l be 2 - 8/6 - (16/6 - 1980/440). Let -18*t + 0 - 1/4*t**4 - 3*t**2 + l*t**3 = 0. What is t?
-2, 0, 6
Factor -18/5*h**2 + 93/5*h + 108/5 - 3/5*h**3.
-3*(h - 4)*(h + 1)*(h + 9)/5
Suppose 0 = -68*j + 63*j + 320. Let b = 66 - j. Let -5*v**3 - 3*v**2 + 193*v - 195*v + 0*v**b - 4*v**2 = 0. Calculate v.
-1, -2/5, 0
Let c(i) be the first derivative of i**5/15 - 17*i**4/3 + 578*i**3/3 + 49*i**2 - 85. Let y(p) be the second derivative of c(p). Suppose y(z) = 0. What is z?
17
Factor 1231*x - 1515361/2 - 1/2*x**2.
-(x - 1231)**2/2
Factor -217*d**2 + 76*d**2 + 127*d**2 + 2*d**3.
2*d**2*(d - 7)
Let x(b) be the first derivative of -18/7*b**2 - b**4 - 10/7*b - 48 - 16/7*b**3 - 6/35*b**5. Let x(z) = 0. Calculate z.
-5/3, -1
Let a(p) be the third derivative of -p**8/60480 + p**7/3780 - p**6/540 + 161*p**5/60 + 3*p**2 + 15*p. Let c(o) be the third derivative of a(o). Factor c(k).
-(k - 2)**2/3
Let c = 5044/9 + -65524/117. Let d(x) be the first derivative of 0*x - c*x**3 + 1/26*x**4 + 16/13*x**2 - 14. Factor d(y).
2*y*(y - 4)**2/13
Let v(x) be the first derivative of -3*x**4/4 - 179*x**3 - 14508*x**2 - 419796*x + 9252. Factor v(f).
-3*(f + 23)*(f + 78)**2
Let v(y) be the third derivative of -1/90*y**5 + 25/9*y**3 + 0*y**4 + 0*y + 5*y**2 - 11. Factor v(q).
-2*(q - 5)*(q + 5)/3
Determine n, given that 586/7*n + 1164/7 + 2/7*n**2 = 0.
-291, -2
Factor 7906*v**2 + 20*v**4 + 6701*v**2 + 61035*v - 76050 - 17*v**4 + 405*v**3.
3*(v - 1)*(v + 6)*(v + 65)**2
Determine p, given that 391*p + 45*p**3 + 1442*p + 4480 - 73*p - 650*p**2 = 0.
-14/9, 8
Let k(a) be the second derivative of -a**6/150 - 23*a**5/100 - a**4/3 + 22*a**3/15 + 94*a - 1. Factor k(n).
-n*(n - 1)*(n + 2)*(n + 22)/5
Suppose -2*p - 1542 = -2*r, -3*p = -3 - 9. Let n = r + -775. Suppose -4*x**2 + n - 8/9*x = 0. What is x?
-2/9, 0
Let h(c) be the first derivative of 1/5*c**5 + 5/4*c**4 - 5/2*c**2 - 4*c + c**3 + 119. Let h(r) = 0. What is r?
-4, -1, 1
Suppose -3*l - 5*b = 6, 8 = b + 11. Let n(a) be the third derivative of 1/12*a**5 + 5/12*a**4 + 0*a + 0 - 1/42*a**7 + 19*a**2 - 1/12*a**6 + 0*a**l. Factor n(v).
-5*v*(v - 1)*(v + 1)*(v + 2)
Let m(s) = -3*s**3 - 521*s**2 + 66563*s + 67083. Let w(c) = -8*c**3 - 1044*c**2 + 133126*c + 134167. Let r(o) = 5*m(o) - 2*w(o). Factor r(b).
(b - 259)**2*(b + 1)
Let s(l) be the third derivative of l**7/105 - 239*l**6/60 - 241*l**5/10 - 725*l**4/12 - 242*l**3/3 - 493*l**2 - 2. Let s(z) = 0. What is z?
-1, 242
Factor 3*n**3 + 528 - 11136*n**2 - 372*n + 5613*n**2 + 5571*n**2.
3*(n - 4)*(n - 2)*(n + 22)
Find f, given that -19326*f**4 + 3*f**5 + 2*f**5 - 3*f**5 + 14*f - 16*f**3 + 19299*f**4 + 27*f**2 = 0.
-1, -1/2, 0, 1, 14
Let s(f) be the second derivative of f**5/35 + 5*f**4 - 212*f**3/21 + 381*f. Factor s(w).
4*w*(w - 1)*(w + 106)/7
Let p(z) = -6*z**3 + z - 1. Let i(y) = y**5 + 86*y**4 + 1784*y**3 - 3872*y**2 - 4*y + 4. Let d(w) = i(w) + 4*p(w). What is t in d(t) = 0?
-44, 0, 2
Let s(h) be the second derivative of 0 + 15*h**2 + 160*h + 475/6*h**3 + 155/12*h**4. Factor s(a).
5*(a + 3)*(31*a + 2)
Let q(l) be the second derivative of 3*l**5/20 + 125*l**4/2 - 757*l**3/2 + 759*l**2 + 2*l + 264. Factor q(s).
3*(s - 2)*(s - 1)*(s + 253)
Let t(a) be the third derivative of 8/15*a**3 + 0 - 1/525*a**7 + 106*a**2 + 11/150*a**5 + 0*a + 0*a**6 + 3/10*a**4. Let t(q) = 0. What is q?
-2, -1, 4
Let t(b) = 7*b**4 - 26*b**3 + 183*b**2 - 278*b + 128. Let l(v) = -24*v**4 + 78*v**3 - 552*v**2 + 833*v - 384. Let r(a) = 2*l(a) + 7*t(a). Factor r(g).
(g - 16)*(g - 8)*(g - 1)**2
Let a be (-1 + 27/12)/((-3)/12). Let u be (-3)/((-3)/a)*-1. Solve 2 - 7 - 2*x - 3*x - u + 5*x**2 = 0 for x.
-1, 2
Let b(z) be the first derivative of -z**4/7 + 172*z**3/21 + 8*z**2/7 - 688*z/7 - 942. Solve b(i) = 0.
-2, 2, 43
Let s(y) be the second derivative of y**7/13860 - y**6/792 + y**5/110 - y**4/12 + 31*y**2/2 + 2*y. Let m(d) be the third derivative of s(d). Factor m(c).
2*(c - 3)*(c - 2)/11
Let r(d) be the second derivative of 6/5*d**3 + 27/10*d**2 - 3/25*d**5 - 4 + 1/50*d**6 - 1/10*d**4 - 2*d. Find w such that r(w) = 0.
-1, 3
Let n(d) be the second derivative of -1/35*d**5 + 0 + 1/21*d**4 + 0*d**2 + 34*d - 2/105*d**6 + 2/21*d**3. Factor n(w).
-4*w*(w - 1)*(w + 1)**2/7
Let q(r) be the third derivative of -2*r**7/105 + r**6/30 + 2*r**5/15 + 958*r**2. Let q(d) = 0. What is d?
-1, 0, 2
Solve -1682/3*k**3 + 2/3*k**5 + 4912/3*k**2 + 200/3*k**4 + 864 - 2008*k = 0 for k.
-108, 1, 2, 3
Let z = 1451/8 - 1447/8. Let h(v) be the third derivative of 0 + z*v**4 + 5*v**2 + 0*v - 5/3*v**3 - 1/30*v**5. Factor h(t).
-2*(t - 5)*(t - 1)
Factor 0 + 5/4*c**2 + 1185/4*c.
5*c*(c + 237)/4
Suppose -1699*q**3 + 282*q + q**4 + 1639*q**3 - 248 + 156*q + 2*q**4 - 2*q**4 - 131*q**2 = 0. What is q?
-4, 1, 62
Let q(w) = 7*w**3 + 641*w**2 + 23703*w - 24333. Let m(j) = -8*j**3 - 648*j**2 - 23700*j + 24332. Let s(v) = -3*m(v) - 4*q(v). Suppose s(i) = 0. Calculate i.
-78, 1
Factor 19/4*o**2 + 1/4*o**3 - 40 + 19/2*o.
(o - 2)*(o + 5)*(o + 16)/4
Suppose -717*x = -742*x + 125. Let q(f) be the second derivative of 1/50*f**x + 0 + 2/15*f**4 + 1/5*f**3 + 41*f + 0*f**2. Let q(p) = 0. What is p?
-3, -1, 0
Let t be ((-1236)/(-14) + -88)/(1/7). Let -1/6*m - 8/3*m**t + 1/6*m**3 + 8/3 = 0. What is m?
-1, 1, 16
Let j(l) be the third derivative of 5/3*l**4 + 0*l**3 + 1/30*l**6 + 0 - 11/15*l**5 - 2*l**2 - 23*l. Let j(q) = 0. What is q?
0, 1, 10
Let q be (((-468)/36)/78)/((-5)/90). Determine s, given that -14/15*s**2 + 0 + 4/5*s + 2/15*s**4 + 0*s**q = 0.
-3, 0, 1, 2
Let u = 34 + -39. Let f = u - -9. Solve 4*o**3 + 26*o**f + 3*o**3 - 3*o**3 - 22*o**4 = 0.
-1, 0
Let l(z) be the first derivative of 3*z**4/20 + 163*z**3/5 - 1023*z**2/2 + 2595*z + 5930. Let l(g) = 0. What is g?
-173, 5
Let j be -18 - -7 - 105/(-7). Let r(k) be the first derivative of 5/4*k**j + 20*k - 5/3*k**3 - 7 - 10*k**2. Factor r(w).
5*(w - 2)*(w - 1)*(w + 2)
Let o(h) = h**4 - 4*h**3 - h**2 + h - 4. Let m(s) = -44*s**3 - 78*s**2 - 37*s - 4. Let t(y) = -2*m(y) + 2*o(y). Solve t(f) = 0 for f.
-38, -1, 0
Let j(c) = 3*c**2 + 18*c - 6. Let k be j(-6). Let r be ((-3)/k + 0)*106/159. Solve -4/3*n + r*n**2 + 0 = 0.
0, 4
Let j(k) be the first derivative of 12*k**2 + 3/4*k**4 + 81 - 60*k + 11*k**3. Solve j(u) = 0 for u.
-10, -2, 1
Let 1098/5*c**2 + 14331/5*c**3 + 2601*c**4 - 252/5*c - 24/5 = 0. Calculate c.
-1, -2/17, 2/15
Solve 921*u + 282747/2 + 3/2*u**2 = 0 for u.
-307
Let w(j) be the second derivative of -j**5/4 - 345*j**4/4 - 23805*j**3/2 - 1642545*j**2/2 - 3*j - 237. Factor w(u).
-5*(u + 69)**3
Let x(o) be the third derivative of 1/105*o**7 - 2/15*o**6 - 4*o**3 + o**2 + 17*o + 11/30*o**5 + 2/3*o**4 + 0. Let x(t) = 0. Calculate t.
-1, 1, 2, 6
Let p(o) be the first derivative of -3*o**4/20 + 44*o**3/5 + 18*o**2 - 259*o - 66. Let v(t) be the first derivative of p(t). Factor v(u).
-3*(u - 30)*(3*u + 2)/5
Suppose 4*q - 33 = 5*p, 5*q + 551*p - 546*p + 15 = 0. Factor -2/5*u - 4/5*u**q - 2/5*u**3 + 0.
-2*u*(u + 1)**2/5
Suppose -8*y + 13*y = 25. Factor -y + 26510*x + 4*x**2 - 26482*x + 45.
4*(x + 2)*(x + 5)
Suppose 69*m - 179 = 235. Suppose -3*j + 5*v + 25 = 0, -3*j + 55 = v + 6. Suppose 8*c**2 + m + j*c**2 - 26*c**2 - 3*c = 0. What is c?
-2, 1
Let i = -1633 - -873. Let q = -758 - i. Factor 2/5*v**q + 32/5*v + 128/5.
2*(v + 8)**2/5
Factor -1/8*q**2 - 35/2 - 9*q.
-(q + 2)*(q + 70)/8
Let o(a) be the second derivative of a**5/10 - 71*a**4/6 + 548*a**3/3 + 620*a**2 + 2882*a. Factor o(y