- 1)*(h + 3)
Let m(h) be the second derivative of 3/2*h**2 + 3/20*h**4 + 3/100*h**5 + 2 + 75*h - 9/10*h**3. Factor m(i).
3*(i - 1)**2*(i + 5)/5
Solve -2/21*g**2 - 10*g + 0 = 0.
-105, 0
Let w(r) be the third derivative of -r**6/600 - 23*r**5/100 + 151*r**4/30 - 154*r**3/5 - 3346*r**2. Factor w(h).
-(h - 6)*(h - 2)*(h + 77)/5
Find p, given that 944/7*p**2 + 418/21*p**4 + 2/7*p**5 + 0 + 1024/21*p + 740/7*p**3 = 0.
-64, -4, -1, -2/3, 0
Let d(j) be the second derivative of -j**6/15 + 18*j**5/5 - 65*j**4 + 1700*j**3/3 - 2625*j**2 + 14*j - 53. Suppose d(p) = 0. What is p?
5, 21
Let i(n) = n**3 + 119*n**2 + 1813*n - 500. Let v be i(-101). What is d in 2/9*d**v + 2/9 - 4/9*d**3 + 2/9*d + 2/9*d**4 - 4/9*d**2 = 0?
-1, 1
Let h(o) be the third derivative of -o**5/40 - 77*o**4/96 - 53*o**3/6 + 663*o**2 - o + 1. Factor h(k).
-(k + 4)*(6*k + 53)/4
Let c(b) be the first derivative of b**4/4 + 3*b**3 - 35*b**2/2 + 15*b - 247. Let f be c(-12). Factor -10/3*x**2 - 1/3*x**f - 32/3*x - 32/3.
-(x + 2)*(x + 4)**2/3
Let x = 154/15 + -38/5. Let -x*k**2 + 0 - 5/6*k**3 - 2/3*k + 7/6*k**4 = 0. What is k?
-1, -2/7, 0, 2
Let v(x) = 2*x**2 + 2304*x + 668104. Let f(b) = 4*b**2 + 4606*b + 1336192. Let r(w) = 4*f(w) - 9*v(w). Factor r(z).
-2*(z + 578)**2
Let x(o) be the second derivative of 0 + 0*o**3 + 4*o + 21/2*o**2 - 1/450*o**5 - 1/900*o**6 + 0*o**4. Let z(n) be the first derivative of x(n). Factor z(f).
-2*f**2*(f + 1)/15
Let p = 1445271/258085 - -1/51617. Factor 0 + p*d + 8/5*d**2.
4*d*(2*d + 7)/5
Let q = -2117 + 706. Let h = -1408 - q. Factor 8/5*k + 0 + 4/5*k**4 - 8/5*k**2 - 6/5*k**h + 2/5*k**5.
2*k*(k - 1)**2*(k + 2)**2/5
Let t(a) be the second derivative of -52*a + 8/57*a**3 - 2 - 7/114*a**4 + 16/19*a**2 + 1/190*a**5. Factor t(z).
2*(z - 4)**2*(z + 1)/19
Let 0 + 19/7*c**3 + 4/7*c - 40/7*c**2 = 0. Calculate c.
0, 2/19, 2
Let u(n) be the second derivative of 0 - 1/360*n**5 + 6*n + 7/3*n**3 + 1/2160*n**6 + 0*n**2 - 1/48*n**4. Let t(z) be the second derivative of u(z). Factor t(r).
(r - 3)*(r + 1)/6
What is u in -1/5*u**4 + 0*u**3 + 9/5*u**2 - 12/5 - 4/5*u = 0?
-3, -1, 2
Let y = -558 - -556. Let t be y - (-25)/(-5) - -9. Factor 3/5*j**3 + 18/5 + 18/5*j**t + 33/5*j.
3*(j + 1)*(j + 2)*(j + 3)/5
Let s(o) = 4*o**2 + 18*o - 81. Let v(l) = -5*l**2 - 17*l + 102. Let c(j) = 6*s(j) + 5*v(j). Find y, given that c(y) = 0.
-1, 24
Let p = -7132 - -7134. Let g(w) be the second derivative of 0 + 8/3*w**3 + 0*w**p + 4*w - 1/3*w**4. Find a such that g(a) = 0.
0, 4
Let r(m) be the first derivative of m**5/480 + 3*m**4/64 + m**3/6 + 3*m**2/2 + 4*m - 13. Let o(c) be the second derivative of r(c). Factor o(w).
(w + 1)*(w + 8)/8
Let c be 15 + (-302203)/21515 + 8/(-10). Let 2*j**4 + 270/13*j**2 + 216/13*j + 126/13*j**3 + c*j**5 + 0 = 0. Calculate j.
-4, -3, 0
Let y(t) be the first derivative of -t**4/22 - 14*t**3/11 - 39*t**2/11 - 74*t - 74. Let x(c) be the first derivative of y(c). Suppose x(o) = 0. What is o?
-13, -1
Let a be (16/120)/((-22)/(-5)). Let b(j) be the second derivative of -2/165*j**6 + 0*j**2 + 0 + 0*j**5 + 1/231*j**7 + 1/33*j**4 + 18*j - a*j**3. Factor b(z).
2*z*(z - 1)**3*(z + 1)/11
Let -64/3*c**5 + 68*c**3 + 106/3*c**2 - 64/3*c**4 - 86/3*c + 4 = 0. Calculate c.
-2, -1, 1/4, 3/2
Let o(w) be the second derivative of w**4/90 - 6*w**3 - 544*w**2/15 - 119*w - 9. Factor o(x).
2*(x - 272)*(x + 2)/15
Let x be 24/(-3) - (-9)/3. Let b(v) = -3*v - 6. Let w be b(x). Factor h**3 + 59*h**2 - 16 + 32*h + 4*h**4 - w*h**3 - 71*h**2.
4*(h - 2)*(h - 1)**2*(h + 2)
Let h(v) be the first derivative of v**5/5 - 13*v**4/4 + 2*v**3 + 176*v**2 - 640*v - 292. Let h(y) = 0. What is y?
-5, 2, 8
Suppose -3*d + 19 = 5*w - 16, -2*w - 4*d = -28. Factor 14 - 15 + 47*n - 12*n - 28*n**3 + 41 - 7*n**3 - 45*n**2 + 5*n**w.
5*(n - 8)*(n - 1)*(n + 1)**2
Let i(o) = -o - 4. Let m be i(-12). Suppose -3*x + m = q - 2*q, -18 = -5*x + 4*q. Factor 3*z**2 - z**2 - 5*z**2 + 4*z**x.
z**2
Let j(q) be the first derivative of q**6/360 + 17*q**5/180 + 2*q**4/9 + 73*q**2/2 + 14. Let i(k) be the second derivative of j(k). Factor i(v).
v*(v + 1)*(v + 16)/3
Let q(m) be the second derivative of -121/168*m**7 + 0*m**2 + 0 + 11/120*m**6 - 3/4*m**4 + 6/5*m**5 + 0*m**3 + 99*m. Solve q(t) = 0.
-1, 0, 6/11
Let q(b) be the second derivative of b**4/6 + 542*b**3/3 + 73441*b**2 - 284*b. Solve q(o) = 0 for o.
-271
Factor 2*j**2 + 110 + 146/3*j - 2/3*j**3.
-2*(j - 11)*(j + 3)*(j + 5)/3
Let l(b) = -6*b**4 - 10*b**3 - 10*b**2 + 10*b + 14. Let y = -136 - -138. Let k(h) = -2*h**4 + h**2 + h - 1. Let r(f) = y*k(f) - l(f). What is j in r(j) = 0?
-2, 1
Suppose 305*c + 63*c + 411 = 1147. Let -23/2*y + 1/2*y**c - 12 = 0. What is y?
-1, 24
Let f(u) be the first derivative of -11*u**3/3 + 43*u**2 + 16*u - 1037. Let f(w) = 0. What is w?
-2/11, 8
Let y(i) be the second derivative of 14/3*i**3 + 8/147*i**7 + 0*i**2 + 122/105*i**6 + 0 + 267/35*i**5 - 150*i + 37/3*i**4. Solve y(x) = 0 for x.
-7, -1, -1/4, 0
Let u(p) = 11*p**3 - 18*p**2 - 81*p - 36. Let o(g) = -g**3 + g + 4. Let k(t) = -9*o(t) - u(t). What is z in k(z) = 0?
-3, 0, 12
Let h be -4 + -6*32/(-12). Suppose -4*x = -h - 4. Solve -34 + 38 + 2*b + x*b + 2*b**2 = 0.
-2, -1
Let s = 28270 + -28270. Let h(w) be the third derivative of 0*w + 0 - 1/60*w**6 - 1/30*w**5 + 28*w**2 - 1/36*w**4 - 1/315*w**7 + s*w**3. Factor h(z).
-2*z*(z + 1)**3/3
Let f = -119298 - -715789/6. Let s be (-12)/(-7) + (-2)/(-7). Factor f*w**3 + 0 - 2/3*w**s + 1/2*w.
w*(w - 3)*(w - 1)/6
Let q(m) be the first derivative of 1/21*m**6 - 6/35*m**5 - 12/7*m**2 - 1/14*m**4 + 8/7*m + 22/21*m**3 - 92. Suppose q(b) = 0. What is b?
-2, 1, 2
Suppose 1155 = -24*r + 19*r. Let i = r + 231. Find c, given that -2/5*c**4 + 2/5*c**3 + 0*c**2 + i*c + 0 = 0.
0, 1
Solve -48/5 - 392/5*s + 28*s**2 + 34/5*s**3 = 0.
-6, -2/17, 2
Let w(j) be the first derivative of 0*j + 1/24*j**4 + 49 + 0*j**2 + 1/18*j**3. Factor w(q).
q**2*(q + 1)/6
Let c(t) be the second derivative of 2*t**6/45 - 904*t**5/15 + 102152*t**4/3 - 92345408*t**3/9 + 5217515552*t**2/3 + t + 387. Factor c(k).
4*(k - 226)**4/3
Suppose 5*u - p - 22 = 0, 2*u - 7*p + 2*p = 18. Factor 2*q**4 - 1779*q**2 + 8 + 1797*q**2 + 20*q + 7*q**3 - q**u.
(q + 1)*(q + 2)**3
Let l(a) be the third derivative of 5*a**8/21 - 4*a**7/21 - 37*a**6/8 + 38*a**5/3 - 275*a**4/24 + 5*a**3 + 266*a**2. Determine h so that l(h) = 0.
-3, 1/4, 1, 2
Suppose 18 = 108*s - 99*s. Factor 184*r**2 + 3*r**3 - 202*r**2 + s*r**4 + 22*r**3 - 4*r**3 - 5*r**4.
-3*r**2*(r - 6)*(r - 1)
Let d(f) = f**2 + 4*f**3 - 5*f - 9*f**2 + 16 - 5*f**3. Let q be d(-7). Determine o, given that 54*o**q + 35 - 3*o**4 - 48*o**3 + 60*o - 14 + 60*o**3 = 0.
-1, 7
Suppose 2*t = 2*r - 163 + 131, 112 = 22*r + 2*t. Factor -14/5*q**3 - 2/5*q**4 - r*q**2 - 18/5*q + 0.
-2*q*(q + 1)*(q + 3)**2/5
Find n such that 8/9*n**3 - 172/3*n**2 - 28 + 760/9*n = 0.
1/2, 1, 63
Let v be 6 + (161/4)/(-7). Let k = 1/2 + v. Suppose 3/4*s**3 + k*s**4 + 3/2 - 3/4*s - 9/4*s**2 = 0. Calculate s.
-2, -1, 1
Let y(m) = -m**3 - 9*m**2 - 4*m - 89. Let d be y(-12). Suppose -393*o = -d*o - 78. Factor 81 - o*f**3 + 7*f**4 - 297/2*f + 108*f**2 - 1/2*f**5.
-(f - 3)**4*(f - 2)/2
Let r(x) = 35*x**4 - 22*x**3 + 21*x**2 - 50*x - 23. Let z(n) = -3*n**4 + 2*n**3 - 2*n**2 + 4*n + 2. Let p(j) = 4*r(j) + 46*z(j). Factor p(s).
2*s*(s - 2)*(s + 2)**2
Let k = -725 + 737. Let h be 4/(-10) + 0/k + 1. Factor -h*w + 1/5*w**2 + 1/5*w**4 + 3/5*w**3 - 2/5.
(w - 1)*(w + 1)**2*(w + 2)/5
Let i(g) be the first derivative of -20*g**3/3 + 21465*g**2/2 - 5365*g - 5784. Factor i(j).
-5*(j - 1073)*(4*j - 1)
Let r(p) be the second derivative of -46*p + 1/18*p**4 + 13/9*p**3 + 0 + 14*p**2. Suppose r(w) = 0. What is w?
-7, -6
Let i be (-6)/(-27) - ((-25)/9 - 3). Let x = -4 + i. Determine o, given that -2*o**4 + x*o + 4*o**2 - 2*o**2 - 4*o**3 + 2*o**3 = 0.
-1, 0, 1
Let h(j) = 8*j**4 - 4*j**3 - 58*j**2 - 60*j + 144. Let p(y) = -y**4 - y**2 - 3. Let a(t) = -h(t) - 6*p(t). Factor a(w).
-2*(w - 7)*(w - 1)*(w + 3)**2
Find w such that 4*w**3 + 110*w**2 - 897*w**2 + 15*w**2 = 0.
0, 193
Let f(a) be the third derivative of a**7/945 - 79*a**6/540 - 164*a**5/135 - 83*a**4/27 - 2*a**2 + 3262*a. Determine p so that f(p) = 0.
-2, 0, 83
Determine b so that 1520875/4*b**2 + 39675/4*b**3 + 345/4*b**4 + 0 + 0*b + 1/4*b**5 = 0.
-115, 0
Let f(o) be the th