 d so that 1/4*d**5 - d + o + 3/4*d**3 - d**4 + d**2 = 0.
-1, 0, 1, 2
Let u(p) = 2079 + 0*p**2 + p**2 + 26*p - 2074. Let s be u(-26). Solve -s*d**5 - 25*d + 2*d - 40*d**4 - 90*d**3 - 31*d**2 - 49*d**2 - 2*d = 0 for d.
-5, -1, 0
Let v(t) = 2*t**4 + 14*t**3 + 18*t**2 - 54*t - 100. Let c(r) = -10 + 20 - 9. Let b(n) = -8*c(n) + v(n). Solve b(w) = 0 for w.
-3, 2
Let d(j) be the first derivative of j**6/3 + 32*j**5 + 716*j**4 - 4480*j**3 + 7056*j**2 + 8382. Let d(r) = 0. What is r?
-42, 0, 2
Let m be ((-10)/(-4))/(1*7/28). Suppose -3*p - 3*y = -27, -2*p + 3*y + 8 = m. Determine j so that -5*j**3 - 5/2*j + 1/2 - 1/2*j**5 + 5/2*j**4 + p*j**2 = 0.
1
Let x(g) be the first derivative of -g**5 - 5*g**4 + 10*g**3/3 - 25*g**2 - 140. Let k(p) = -p**3 - 2*p. Let a(z) = 25*k(z) - x(z). Find m such that a(m) = 0.
-1, 0, 2
Let r(f) be the first derivative of -f**5/15 - 28*f**4/3 - 109*f**3/3 + 12390. Factor r(x).
-x**2*(x + 3)*(x + 109)/3
Let p = -203 - -151. Let j be p/(-117)*(-18)/(-4). Determine l so that 8/7 + 48/7*l + 60/7*l**3 + 86/7*l**2 + j*l**4 = 0.
-2, -1, -2/7
Factor -56/3 - 160/3*x + 122/3*x**2 - 14/3*x**3.
-2*(x - 7)*(x - 2)*(7*x + 2)/3
Let j(p) be the third derivative of 0*p**3 + 61/120*p**5 + 48*p**2 + 1/24*p**4 + 0*p + 0. Determine z so that j(z) = 0.
-2/61, 0
Suppose -8*n + 96 = 24*n. Determine u, given that 30 - 12*u**2 + 0*u**5 - 6*u**5 + 112*u**2 - u**5 + 30*u**n + 95*u + 2*u**5 - 10*u**4 = 0.
-2, -1, 3
Let b(y) be the second derivative of y**5/10 + 49*y**4/3 + 731*y**3 - 10404*y**2 + 121*y. Suppose b(o) = 0. Calculate o.
-51, 4
Suppose 10*r + 2*v - 192 = 11*r, 0 = 4*r + 5*v + 807. Let p be 495/r*8/(-5). Determine f, given that 0 + 0*f + 0*f**2 + 1/3*f**3 - 2/3*f**p + 1/3*f**5 = 0.
0, 1
Let m(j) be the third derivative of j**5/570 - 1004*j**4/57 + 4032064*j**3/57 + 12764*j**2. Factor m(k).
2*(k - 2008)**2/19
Let s(i) be the third derivative of 0 - 1/300*i**5 - 1/40*i**4 + 0*i + 61*i**2 + 1/3*i**3. Factor s(p).
-(p - 2)*(p + 5)/5
Let c(n) = -n**3 - 2*n**2 + 53*n + 184. Let k be c(-4). Suppose 1/2*v**2 + 59/4*v - 15*v**3 + 7*v**k - 15/2 + 1/4*v**5 = 0. What is v?
-30, -1, 1
Suppose -b - 4*u = -17, 2*b - 22 = -4*u - 0*u. Suppose -7*c = -4*c - b*l, 0 = -4*c - 4*l. Factor 1/4*a**5 + 0*a + 0*a**3 - 1/2*a**4 + 0 + c*a**2.
a**4*(a - 2)/4
Let q(y) be the third derivative of y**7/840 - y**6/160 - 13*y**5/240 + 5*y**4/32 - y**2 + 11*y + 32. Determine f, given that q(f) = 0.
-3, 0, 1, 5
Solve 0 - 180*x + 3/2*x**2 = 0 for x.
0, 120
Let f(y) be the second derivative of 69*y + 0 + 0*y**2 - 3/110*y**5 + 3/22*y**4 - 2/11*y**3. Factor f(h).
-6*h*(h - 2)*(h - 1)/11
Factor 0 - 2/3*i**2 - 56/3*i.
-2*i*(i + 28)/3
Let f(n) be the third derivative of 1/2340*n**6 + 0 - 28*n**2 + 0*n + 3/52*n**4 + 1/130*n**5 - 4/3*n**3. Let z(s) be the first derivative of f(s). Factor z(h).
2*(h + 3)**2/13
Suppose 168 + 108/5*g**3 + 3/5*g**4 - 1026/5*g + 15*g**2 = 0. Calculate g.
-35, -4, 1, 2
Let z(o) be the first derivative of -2/3*o**3 - 138 + 32/7*o + 1/14*o**4 + 8/7*o**2. Factor z(s).
2*(s - 4)**2*(s + 1)/7
Let t(v) = -54*v + 609. Let c be t(11). Let p(q) be the first derivative of c*q - 3*q**2 + 1/5*q**3 + 1. What is u in p(u) = 0?
5
Let l(n) be the second derivative of -n**8/1680 + n**7/63 - 5*n**6/36 + 4*n**4/3 - n**2 - 25*n - 2. Let r(u) be the third derivative of l(u). Factor r(o).
-4*o*(o - 5)**2
Let r(h) be the third derivative of -154/13*h**4 + 0 - 588/13*h**3 - 1/780*h**6 - 17/78*h**5 + 5*h**2 + 0*h. Factor r(y).
-2*(y + 1)*(y + 42)**2/13
Let p(c) be the first derivative of 45 + 0*c + 60/11*c**3 - 2025/11*c**2 - 1/22*c**4. Suppose p(b) = 0. Calculate b.
0, 45
Let n be (4/23)/((-1088)/(-736)). Suppose 20/17 - 22/17*d + n*d**2 = 0. Calculate d.
1, 10
Let c be ((-14)/(-3))/(-1)*(-174)/203. Let h(l) be the first derivative of -4/5*l**5 + 0*l + 0*l**2 - 10 + 0*l**3 - l**c. Factor h(s).
-4*s**3*(s + 1)
Factor -10*p**4 + 20693732 + 19813882 + 9547268*p - 1068228*p**2 - 5664*p**3 - 76416980*p.
-2*(p + 189)**3*(5*p - 3)
Let z(y) be the first derivative of -y**3/7 + 39*y**2/7 + 465*y/7 + 145. Determine w so that z(w) = 0.
-5, 31
Let f(w) be the first derivative of 2*w**5/35 + w**4/7 - 40*w**3/21 - 66*w**2/7 - 90*w/7 + 15847. Let f(p) = 0. Calculate p.
-3, -1, 5
Let h be -14*((-3553)/(-399) - 99/11). Solve -1/6*l**3 - 7/2*l - h*l**2 - 3 = 0 for l.
-3, -2
Factor 31/2*r + 10/3*r**2 + 12 - 1/6*r**3.
-(r - 24)*(r + 1)*(r + 3)/6
Let t(z) = -580*z - 565. Let k be t(-1). Let m(g) be the first derivative of g**3 - 3/4*g**4 + k + 0*g + 3*g**2. Determine q, given that m(q) = 0.
-1, 0, 2
Find q such that -2/3*q**4 - 70/9 + 68/3*q**2 - 16/9*q**3 + 16*q = 0.
-7, -1, 1/3, 5
Suppose -7*l + 20 = 3*l. Let j be 665/294*4 - 36/(-378). Factor -64/7 + 32/7*s**l + 64/7*s - 4/7*s**5 - j*s**3 + 4*s**4.
-4*(s - 2)**4*(s + 1)/7
Let o(l) = -4926*l - 29552. Let n be o(-6). Determine f so that 1/2*f**5 - f**n + 0*f**3 - 1/2*f + 0 + f**2 = 0.
-1, 0, 1
Let q(v) be the third derivative of v**7/840 + 7*v**6/120 + 5*v**5/48 - 9*v**4/16 + 1329*v**2. Factor q(b).
b*(b - 1)*(b + 2)*(b + 27)/4
Let g(b) be the second derivative of 1/80*b**5 + 150*b - 1/12*b**3 + 1/48*b**4 + 0 + 0*b**2. Factor g(k).
k*(k - 1)*(k + 2)/4
Let o(m) be the second derivative of -m**4/20 + 23*m**3/10 + 63*m**2 - 1119*m. Let o(r) = 0. Calculate r.
-7, 30
Let s be (12/20)/(12/(-270)). Let v = s + 85/6. Factor -1/3*z**2 - v*z + 1.
-(z - 1)*(z + 3)/3
Suppose -58*d + 45*d + 11 = 3*f, -3*f - 9 = 3*d. Determine p so that 2*p - 2 - 1/2*p**3 + 1/2*p**d = 0.
-2, 1, 2
Let u(v) = -3*v**2 + 305*v + 3446. Let t(o) = -5*o**2 + 305*o + 3445. Let m(s) = -4*t(s) + 5*u(s). Factor m(x).
5*(x + 15)*(x + 46)
Let b = -45 - -369. Factor 32*r**3 - 336*r**4 - 136*r**3 + b*r**4 - 148*r**2 - 56*r.
-4*r*(r + 1)*(r + 7)*(3*r + 2)
Suppose c - 114 - 388 = 0. Suppose -c = 3*u - 508. Factor 4/7*h + 0 - 18/7*h**2 + u*h**3.
2*h*(h - 1)*(7*h - 2)/7
Suppose d + 75 = -d - 3*y, -4*y + 4 = 0. Let z be d/(-9) - 12/9. Solve -2*l**z + 4*l**3 + 4*l**2 + 3*l**3 - 3*l**3 - 6*l = 0 for l.
-3, 0, 1
Let p(b) = 9*b**2 - 7*b + 3. Let q be p(-3). Factor 355*k - 25600*k**2 + 67*k + 347*k - q*k - 4 - 24*k.
-4*(80*k - 1)**2
Let q(j) = 7*j**3 - 7*j**2 - 7*j + 1. Let m be q(6). Let b = m + -6092/5. Determine d so that -11/10*d + 3/10*d**3 - b + 1/10*d**4 - 3/10*d**2 = 0.
-3, -1, 2
Let d(t) be the third derivative of 0 - 16*t**2 - 1/63*t**7 + 1/30*t**5 - 7/36*t**4 + 2/9*t**3 + 7/180*t**6 + 0*t. Solve d(u) = 0.
-1, 2/5, 1
Let q(p) = -142*p + 1140. Let w be q(8). Let v(u) be the third derivative of 0*u - 1/36*u**w + 0 + 1/180*u**5 + 12*u**2 + 0*u**3. Factor v(c).
c*(c - 2)/3
Factor -2155024/3 - 2936/3*h - 1/3*h**2.
-(h + 1468)**2/3
Let q = -27372 - -27376. What is x in -2/5 + 8/15*x**3 + 4/15*x**2 - 8/15*x + 2/15*x**q = 0?
-3, -1, 1
Let h = 373227/87101 + 9/12443. Factor -33/7*d - 3/7*d**2 - h.
-3*(d + 1)*(d + 10)/7
Let k(u) be the third derivative of 0*u**3 + 60*u**2 + 1/20*u**5 + 0*u**4 + 1/40*u**6 + 0*u + 0. Suppose k(l) = 0. Calculate l.
-1, 0
Let m(p) be the second derivative of -p**6/30 - 2*p**5/5 + 6*p**4 + 144*p**3 + 1080*p**2 - 6*p - 94. Factor m(i).
-(i - 10)*(i + 6)**3
Let n = 123 - 135. Let h be n/52*110/(-33). Factor h*v**3 + 4/13*v**2 + 0 + 0*v.
2*v**2*(5*v + 2)/13
Let o(u) = -u**2 + 1159*u. Let p(g) = -g**2 + 2319*g. Let l(b) = 9*o(b) - 4*p(b). Factor l(a).
-5*a*(a - 231)
Let a(h) be the second derivative of -9*h + 1/20*h**4 - 11/5*h**3 + 0 + 363/10*h**2. Factor a(d).
3*(d - 11)**2/5
Let l(c) = -c**5 + c**4 - c**3 + 1. Let i = 443 - 457. Let g(u) = -9*u**5 - 16*u**3 - 5*u**2 - u + 7. Let j(z) = i*l(z) + 2*g(z). Let j(d) = 0. What is d?
-1, -1/2, 0
Let j be (26 + (-1520)/57)/(4 - 51/9). Factor 0 + j*b**2 - 24/5*b.
2*b*(b - 12)/5
Let n(c) be the first derivative of 4/5*c - 3/10*c**2 + 70 - 1/15*c**3. Find y, given that n(y) = 0.
-4, 1
Let v(t) be the second derivative of -t**7/21 + 431*t**6/25 - 42596*t**5/25 + 99338*t**4/15 + 304128*t**3/5 + 65536*t**2 - 7579*t. What is n in v(n) = 0?
-2, -2/5, 5, 128
Let z(v) be the second derivative of -v**4/8 + 13*v**3/4 + 21*v**2/2 - 1589*v. What is k in z(k) = 0?
-1, 14
Let v = -1037 + 1211. Suppose v*c = 185*c. Suppose 0*u + 0 - 2/9*u**4 + c*u**2 - 4/9*u**3 = 0. What is u?
-2, 0
Let i(j) be the first derivative of -j**4/72 - 5*j**3/18 + 11*j**2/1