*s + 2)
Let s(t) = -2 + t**4 - 7*t**2 - 4*t**4 + 0 + 4*t**3. Let l = -5371 - -5385. Let h(m) = 10*m**4 - 11*m**3 + 22*m**2 + 7. Let k(q) = l*s(q) + 4*h(q). Factor k(u).
-2*u**2*(u - 5)*(u - 1)
Let d(j) be the second derivative of -j**5/90 - 7*j**4/18 - 8*j**3/3 + 62*j**2 - 4*j - 16. Let b(o) be the first derivative of d(o). Factor b(x).
-2*(x + 2)*(x + 12)/3
Let s(t) be the third derivative of -t**7/140 - 11*t**6/80 - 31*t**5/40 - 21*t**4/16 - 71*t**2 + 3*t. Factor s(l).
-3*l*(l + 1)*(l + 3)*(l + 7)/2
Let 176 + 1/2*v**2 + 353/2*v = 0. What is v?
-352, -1
Let t be 32/1 - (-2 + 2). Let n be (-4)/t - (-85)/40. What is v in -16*v**2 - 9 + 6*v**2 + 7*v**n + 12*v = 0?
1, 3
Let h(t) = t - 13. Let k(o) = -8*o + 89. Let q(n) = 60*h(n) + 8*k(n). Let x be q(-17). Solve 9/5*l**5 + 3*l**3 + 21/5*l**4 + x + 3/5*l**2 + 0*l = 0.
-1, -1/3, 0
Let p = -47 - -49. Determine r, given that 42*r - 17*r**p + 27*r**2 - 11*r**2 - 441 = 0.
21
Let m be -2 - (-56)/30 - (-1050)/1125. Let -19/5 + 15*s + m*s**2 = 0. Calculate s.
-19, 1/4
Suppose 194*r + 299 + 283 = 0. Suppose 6 - 2 = 4*z. Let l(h) = h**2. Let v(j) = 5*j**2 - 2*j. Let a(q) = r*l(q) + z*v(q). Factor a(s).
2*s*(s - 1)
Suppose 0*s - 46/9*s**4 - 14/9*s**5 + 0 - 40/9*s**3 - 8/9*s**2 = 0. Calculate s.
-2, -1, -2/7, 0
Let p(k) be the first derivative of 5*k**4/4 + 1730*k**3/3 - 5*k**2/2 - 1730*k + 2679. Factor p(j).
5*(j - 1)*(j + 1)*(j + 346)
Let r be ((-285)/(-380))/((-95)/(-1444)). Find u, given that 72/5*u**4 + r*u + 27*u**2 + 9/5 + 12/5*u**5 + 147/5*u**3 = 0.
-3, -1, -1/2
Solve -142*s**2 + 41*s - 47 + 5 + 130*s**2 + s**3 = 0 for s.
2, 3, 7
Let o be 734 - (3 - 9/1). Let d = o - 2195/3. Factor 10/3 + 5*r**2 + d*r.
5*(r + 1)*(3*r + 2)/3
Suppose -2*q - 78 = -3*r - 4*q, 0 = r - 2*q - 18. Let k be (-2 + r/9)/(8/24). Suppose -15*l**5 - 13*l**4 - 8*l**2 + 19*l**4 + k*l**2 + 15*l**3 = 0. Calculate l.
-1, 0, 2/5, 1
Suppose 0 = 9*v - 4*v + 2*f - 46, 0 = 7*v - 3*f - 18. Let i(b) be the second derivative of 1/4*b**4 + 0 + v*b**2 - 2*b**3 + 10*b. Find k such that i(k) = 0.
2
Suppose 49398*k - 15*k**4 - 20*k**3 + 49420*k - 98948*k + 125*k**2 + 40 = 0. Calculate k.
-4, 2/3, 1
Factor -207/8 + 9*d - 1/8*d**2.
-(d - 69)*(d - 3)/8
Let 0*k + 0 + 57/2*k**3 + 15/2*k**2 = 0. Calculate k.
-5/19, 0
Let f(c) = 5*c**2 - 121*c + 27. Let l(h) = -6*h**2 + 120*h - 36. Let j(k) = -4*f(k) - 3*l(k). Factor j(r).
-2*r*(r - 62)
Factor -8*h**4 + 50*h**3 - 15*h**4 + 106*h**3 + 20*h**4 + 0*h**3 - 153*h**2.
-3*h**2*(h - 51)*(h - 1)
Factor 178/9*d - 11/9*d**2 - 32/9.
-(d - 16)*(11*d - 2)/9
Let y = 4 + -1. Let p be (-3)/7 - 14/(294/(-51)). Factor 7*j**4 - 10*j**y + 10*j - 5 - 10*j**p + 5*j - j**4 + 9*j**4 - 5*j**5.
-5*(j - 1)**4*(j + 1)
Factor 0 - 65/3*k**2 - 1/3*k**3 + 168*k.
-k*(k - 7)*(k + 72)/3
Let i be 0*((-28)/(-36) + (-36)/81). Factor -1/3*h - 1/3*h**3 - 2/3*h**2 + i.
-h*(h + 1)**2/3
Let g(u) be the second derivative of -u**5/40 - 25*u**4/24 - 23*u**3/6 - 817*u. Determine w, given that g(w) = 0.
-23, -2, 0
Let b = 87/14 + -407/70. Let -b*n**3 + 6/5*n**4 - 6/5*n**2 - 2/5*n**5 + 0 + 4/5*n = 0. What is n?
-1, 0, 1, 2
Factor 287*s**2 - 13*s**3 - 889*s**2 + 11*s**3.
-2*s**2*(s + 301)
What is i in 4/3*i**2 + 2062096/3 + 5744/3*i = 0?
-718
Let q(i) = -3*i**2 - 3*i - 6. Let s = 34 - 24. Let o = 9 - s. Let j(r) = -r**2 - r - 1. Let n(c) = o*q(c) + 4*j(c). Factor n(a).
-(a - 1)*(a + 2)
Let h(p) be the third derivative of p**7/420 - 7*p**6/10 + 41*p**5/5 - 122*p**4/3 + 108*p**3 + 254*p**2 - 2*p. Factor h(i).
(i - 162)*(i - 2)**3/2
Let a(t) be the third derivative of -t**8/560 - 3*t**7/350 + 11*t**6/100 - 19*t**5/50 + 27*t**4/40 - 7*t**3/10 - 12*t**2 + 12. Factor a(b).
-3*(b - 1)**4*(b + 7)/5
Let f = -8208 - -8212. Let s(o) be the first derivative of 1/3*o**3 + 11/8*o**2 - 9 + 3/2*o - 1/16*o**f. Find q, given that s(q) = 0.
-1, 6
Let t(l) be the third derivative of l**6/24 + 2089*l**5/4 + 21819605*l**4/8 + 45581154845*l**3/6 + 163*l**2 + 3. Determine b so that t(b) = 0.
-2089
Let m(p) be the first derivative of -16*p**5/5 + 48*p**4 + 428*p**3/3 + 138*p**2 + 56*p + 7599. Solve m(o) = 0.
-1, -1/2, 14
Let b = 1447/78 - 239/13. Let i(d) be the second derivative of -b*d**6 - 23*d + 0 - 20/3*d**4 + 0*d**2 - 10*d**3 - 7/4*d**5. Factor i(z).
-5*z*(z + 2)**2*(z + 3)
Let w = 1611793/28 - 230255/4. Suppose 0 + w*h**3 - 24/7*h - 8/7*h**2 = 0. Calculate h.
-2, 0, 6
Let a be (8/(-5) - -1)*(32240/546 - 60). Let q be (15/14 + -1)*4. Factor a*y - q*y**2 - 2/7.
-2*(y - 1)**2/7
Let c(o) be the second derivative of 11*o**4/3 + 38*o**3/3 + 16*o**2 - 97*o - 1. Solve c(d) = 0 for d.
-1, -8/11
Suppose 0 + 4/3*s**5 - 32/3*s**2 + 8/3*s + 14*s**3 - 22/3*s**4 = 0. Calculate s.
0, 1/2, 1, 2
Let 3/4*u**2 + 384 - 54*u = 0. Calculate u.
8, 64
Let s(f) be the first derivative of -f**5/20 - 343*f**4/16 + f**3/12 + 343*f**2/8 + 1859. Let s(m) = 0. Calculate m.
-343, -1, 0, 1
Let o(y) = -3*y**2 - 49*y - 14. Let s be o(-16). Factor -39*q**2 + 31*q**s - 5*q**3 - 4 + 7*q**3 + 10*q.
2*(q - 2)*(q - 1)**2
Factor -1521*y + 1724*y**3 + 3*y**5 - 6591 - 266884562*y**4 - 206*y**3 + 266884679*y**4 + 6474*y**2.
3*(y - 1)*(y + 1)*(y + 13)**3
Let i(b) = -3*b + 26. Let y = -142 + 149. Let d be i(y). Factor 31*t**3 + 3*t**d - 53*t**3 - 9*t**4 + 28*t**3.
3*t**3*(t - 2)*(t - 1)
Let s(d) be the first derivative of 5/6*d**6 + 51*d**5 + 98865/2*d**2 + 38870/3*d**3 + 2405/2*d**4 - 142805*d + 5. Factor s(f).
5*(f - 1)*(f + 13)**4
Solve -4*x**3 - 463932 + 468916 - 3129*x - 6843*x + 4992*x**2 = 0 for x.
1, 1246
Suppose -189 = -82*s + 19*s. Let -8/15*k**2 - 2/3*k**s + 0 + 2/15*k = 0. What is k?
-1, 0, 1/5
Suppose 0*i - 4*i = 3*t + 2, -i + 25 = 5*t. Suppose -6*a = t*a. Find r such that 0*r + 0*r**2 - 4/5*r**3 + a + 1/5*r**4 = 0.
0, 4
Let v be 2/3*(119 + -5). Let z = -74 + v. Find y, given that 3*y**5 - 15*y + 41*y**4 + 23*y**z - 95*y**3 - 96*y**4 - 13*y**5 - 88*y**2 = 0.
-3, -1, -1/2, 0
Let q(p) be the first derivative of -p**7/280 + 9*p**6/40 - 21*p**5/5 - 49*p**4/2 + p**3/3 + 20*p - 83. Let w(s) be the third derivative of q(s). Factor w(f).
-3*(f - 14)**2*(f + 1)
Let b be (4 - 3)/(6/12). Suppose 0 = 3*r + 4*f + 14, -2*f - 5 = -f. Factor 46*p**b - 41*p**r + 3*p**4 + 2*p**4 - 10*p**3.
5*p**2*(p - 1)**2
Suppose 26531*w - 26532*w + 4*q = 70, -3*w - 66 = -4*q. Determine h, given that 1922/5 - 124/5*h + 2/5*h**w = 0.
31
Let a = 7571 - 7568. Let t(u) be the third derivative of 0*u**a + 0 + 1/90*u**5 - 1/180*u**6 + 0*u + 1/18*u**4 - 11*u**2. Suppose t(k) = 0. Calculate k.
-1, 0, 2
Let j be (-4)/(-22) + (8084/(-517))/(-2). Factor -4/7*s**2 - 96/7 + j*s.
-4*(s - 12)*(s - 2)/7
Let v(a) be the third derivative of -a**5/30 - 5*a**4/2 - 161*a**3/3 - 2714*a**2. Determine l, given that v(l) = 0.
-23, -7
Let 5/4*v**4 + v**3 - 4*v**2 - 8*v + 1/4*v**5 - 4 = 0. What is v?
-2, -1, 2
Suppose -5*s + 6*s = 2. Let k(x) = 2*x**3 - x**2 - x - 3. Let c be k(s). Suppose 9 + q**2 - 5*q + 1 - c + q**3 = 0. Calculate q.
-3, 1
Let l(d) be the third derivative of -d**8/1176 - d**7/245 + d**6/420 + d**5/70 - 3791*d**2 + 2*d. Find m, given that l(m) = 0.
-3, -1, 0, 1
Let w = 398724 - 2791050/7. Determine a so that 6/7*a**3 - w*a**2 + 0*a + 10/7*a**4 + 2/7*a**5 + 0 = 0.
-3, 0, 1
Let i(a) be the first derivative of 2*a**3/39 - 470*a**2/13 + 110450*a/13 + 845. Let i(j) = 0. What is j?
235
Let y = 303965/202646 + 2/101323. Suppose 0 = -4*n + 7 + 9. Solve q**3 + q**2 + 1/2*q**5 - y*q + 1/2 - 3/2*q**n = 0 for q.
-1, 1
Suppose -18*d + 15090 = -28*d. Let o = 1511 + d. Find k such that 2/5*k**o + 2/5*k**4 - 4/5*k**3 + 0 + 0*k = 0.
0, 1
Let b be 125/1500 - (8/(-28) + (-2)/(-7)). Let i(m) be the third derivative of 5/6*m**3 - 5/24*m**4 + 0*m + 0 + 17*m**2 + 1/24*m**6 - b*m**5. Factor i(q).
5*(q - 1)**2*(q + 1)
Factor -115*a - 114 - 400*a**2 - 112 - 40*a - 120 + 331.
-5*(5*a + 1)*(16*a + 3)
Find d such that -193 - 55*d + 338 + d**2 + 115 - 77*d = 0.
2, 130
Factor 2*v**4 - 92*v + 14*v**3 + 7*v**3 + 7*v**4 - 14*v**3 + 12 + 12 - 74*v**2.
(v - 3)*(v + 2)**2*(9*v - 2)
Find k, given that -13/2*k**2 - 112*k + 1470 + 1/2*k**3 = 0.
-15, 14
Determine z, given that -9*z + 31*z**3 - 14*z**2 - 7*z**4 - 10*z**2 - 8*z + 13*z - 4*z**3 = 0.
-1/7, 0, 2
Let v(r) be the first derivative of 88*r**2 - 99 + 7744*r + 1/3*r**3. Factor v(y).
(y + 88)**2
Let b(i) be the third derivative o