m**3 + 6/11 + j*m + 24/11*m**2 = 0.
-3, -1
Suppose 200*v + 330 = 365*v. Factor -1/3*c**3 - c - 3 + 5/3*c**v.
-(c - 3)**2*(c + 1)/3
Factor -176/7 - 258796*r**2 - 11774*r**3 + 35720/7*r.
-2*(r + 22)*(203*r - 2)**2/7
Solve 410691/4*r**2 + 3/4*r**4 - 203688*r - 1107/2*r**3 + 101568 = 0.
1, 368
Let d = 7587 - 30347/4. Let n(p) be the second derivative of -d*p**3 + 0 + 3/2*p**2 + 7/5*p**6 - 15/4*p**4 + 5*p + 3/40*p**5. Determine k so that n(k) = 0.
-1, -2/7, 1/4, 1
Suppose -29 - 149/4*v - 17/2*v**2 - 1/4*v**3 = 0. Calculate v.
-29, -4, -1
Let k be ((-15)/(-10))/(2/60). Factor 55*y**4 + 112*y**2 + 78*y + 20 + 68*y**3 + k*y**4 - 2*y**5 - 88*y**4.
-2*(y - 10)*(y + 1)**4
What is m in -2/23*m**4 + 88/23 - 24/23*m**3 + 96/23*m - 14/23*m**2 = 0?
-11, -2, -1, 2
Let k(t) = -84*t**2 + 10487*t + 3509. Let n(d) = -325*d**2 + 41950*d + 14035. Let u(f) = 35*k(f) - 9*n(f). Let u(p) = 0. What is p?
-700, -1/3
Suppose 5*o - 16 = -v, 2*o + 16 = v - 3*o. Determine q, given that 27*q + 15*q**3 - q**2 - v*q**3 - 27*q - 2*q**2 = 0.
-3, 0
Let w(b) be the first derivative of 62 - 44 - 36*b + 70 + 12*b**3 + b**4 - 2*b**2. Find c such that w(c) = 0.
-9, -1, 1
Let b(w) be the second derivative of -w**6/105 - 27*w**5/70 - 17*w**4/14 - 25*w**3/21 - 6*w - 7. Factor b(i).
-2*i*(i + 1)**2*(i + 25)/7
Let r(d) = 26*d**2 + 487*d - 28779. Let h(j) = -22*j**2 - 486*j + 28782. Let b(q) = 7*h(q) + 6*r(q). Factor b(z).
2*(z - 120)**2
Let -159783 - 92392 - 149844 - 4*t**2 - 1524*t - 25697 + 4140*t = 0. Calculate t.
327
Factor 302/21*v - 92/21*v**2 - 2/21*v**3 + 56/3.
-2*(v - 4)*(v + 1)*(v + 49)/21
Factor -1/5*v**2 - 1652/5*v - 682276/5.
-(v + 826)**2/5
Let n be ((-7)/14)/((882/70)/(-21)). Let a(d) be the second derivative of -34*d + 0 - 1/4*d**5 - 5/2*d**2 + 5/12*d**4 + n*d**3. Factor a(w).
-5*(w - 1)**2*(w + 1)
Suppose -4 = -5*t + 76. Suppose -8*q + t*q - 5744 = 0. Suppose 432*r**2 - 156*r**3 + 0*r**5 + 324 + q*r + 28*r**4 - 2*r**5 - 1312*r = 0. Calculate r.
2, 3
Let b(s) be the second derivative of s**5/20 - s**4/12 - 2*s**3/3 + 2*s**2 + 157*s + 3. What is o in b(o) = 0?
-2, 1, 2
Let v be (-4)/14 - 4*(-4)/56. Suppose -3*p + 9 + 6 = v. Solve -19*f**4 - 5*f**5 - 48*f**2 + 54*f**3 - p*f**4 + 9*f**5 + 15*f - f**5 = 0 for f.
0, 1, 5
Let i(j) be the third derivative of -j**8/2184 + 2*j**7/455 - j**6/195 - 3*j**5/65 + 5*j**4/156 + 4*j**3/13 + 747*j**2. Solve i(p) = 0 for p.
-1, 1, 3, 4
Let m(g) be the third derivative of -1/600*g**6 + 0 - 49*g + 3/100*g**5 - 1/20*g**4 - 8/15*g**3 - g**2. Factor m(b).
-(b - 8)*(b - 2)*(b + 1)/5
Let l be 924/24 + (-41 - -3). Factor -l*b**2 + 1 + 1/2*b.
-(b - 2)*(b + 1)/2
Let l(i) be the third derivative of -289*i**8/112 - 153*i**7/14 + 7233*i**6/40 - 10567*i**5/20 + 384*i**4 - 126*i**3 - i**2 + 1420. Find q, given that l(q) = 0.
-7, 3/17, 2
Suppose -36 = 11*f - 20*f. Let g(l) be the second derivative of -7/3*l**f + 0 + 0*l**2 + 16*l + 4/3*l**3. What is s in g(s) = 0?
0, 2/7
Solve 14/5*m**2 + 2/5*m**3 + 0*m + 0 = 0.
-7, 0
Let d(i) = -669*i - 57531. Let s be d(-86). Solve -6/5*k**s + 2/5*k**4 + 0 + 8/5*k + 0*k**2 = 0 for k.
-1, 0, 2
Let m(c) be the first derivative of 25*c**4/12 + 5*c**3 - 20*c**2 - 34*c + 61. Let n(s) be the first derivative of m(s). Factor n(w).
5*(w + 2)*(5*w - 4)
Let b(u) be the third derivative of -49/30*u**7 + 4 - 77/5*u**5 + 50/3*u**4 + 931/120*u**6 - 32/3*u**3 - 4*u**2 + 0*u. Determine n, given that b(n) = 0.
4/7, 1
Let b = 463093 - 463091. Factor 1/2*c**3 + 1/3*c**b + 0*c + 0 + 1/6*c**4.
c**2*(c + 1)*(c + 2)/6
Let k(c) = -7*c + 2. Let u be k(0). Suppose 0 = -m - 2*r + 12 - u, 5 = m + r. Suppose -1/2*l**3 + 8/3*l**2 + 7/6*l**5 - 2/3*l - 8/3*l**4 + m = 0. Calculate l.
-1, 0, 2/7, 1, 2
Let o(a) be the first derivative of 59 + 2/21*a**3 + 288/7*a - 24/7*a**2. Factor o(u).
2*(u - 12)**2/7
Let o(l) be the second derivative of -l**6/12 + 25*l**5/24 - 5*l**4/6 - 5*l**3/2 + 188*l. Let u(y) be the second derivative of o(y). Factor u(d).
-5*(d - 4)*(6*d - 1)
Suppose -3*a + 2*s = -9, 2*s = -1894*a + 1901*a - 29. What is q in -25/2*q - 35/2*q**2 + a = 0?
-1, 2/7
Find g, given that -18*g**4 - 35*g + 94*g + 50*g**2 + 47 - 621*g**5 + 623*g**5 + 41 - 50*g**3 + 109*g = 0.
-2, -1, 2, 11
Let u = 5477 - 5473. Let p(v) be the first derivative of -u*v - 1/6*v**6 - 7/4*v**4 + 25 + 4*v**2 + v**5 - 1/3*v**3. Factor p(y).
-(y - 2)**2*(y - 1)**2*(y + 1)
Let f(b) = b**4 + 214*b**3 + 79*b**2 - 578*b + 286. Let r(y) = 2*y**4 + y**3 - 3*y + 1. Let t(h) = f(h) - 2*r(h). Solve t(q) = 0 for q.
-2, 2/3, 1, 71
Let b be (-43)/((-516)/252) + -17. Factor -12 + 1/3*l**b + 2*l**3 + 5/3*l**2 - 8*l.
(l - 2)*(l + 2)*(l + 3)**2/3
Let c(w) = -16*w**4 - 41*w**3 + 213*w**2 + 1102*w. Let s(l) = -3*l**4 - 8*l**3 + 42*l**2 + 220*l. Let b(n) = 4*c(n) - 22*s(n). Let b(j) = 0. Calculate j.
-6, 0, 6
Factor 61*b**2 + 4608*b + 79*b**2 + 2*b**3 - 332*b**2.
2*b*(b - 48)**2
Let h(y) be the second derivative of -1/5*y**6 + 1/2*y**4 + 3/80*y**5 + 0*y**3 - 1/56*y**7 + 4 + 23*y + 0*y**2. Determine t, given that h(t) = 0.
-8, -1, 0, 1
Let n = -466 + 469. Let k(h) = -13*h**3 + 2*h**2 + 13*h - 8. Let a(d) = 27*d**3 - 3*d**2 - 27*d + 17. Let z(r) = n*a(r) + 7*k(r). Factor z(f).
-5*(f - 1)*(f + 1)*(2*f - 1)
Let z(h) be the third derivative of h**6/96 - 49*h**5/48 + 335*h**4/48 + 115*h**3/3 + 6*h**2 - h - 29. Find s, given that z(s) = 0.
-1, 4, 46
Let b(j) be the second derivative of j**7/12 + 55*j**6/12 + 3291*j**5/40 + 4275*j**4/8 + 567*j**3/2 + 3660*j. What is u in b(u) = 0?
-21, -9, -2/7, 0
Let q(y) = 2*y**2 + 2*y + 20. Let z be q(0). Let d be z/15 - 2/(-3). What is r in 0*r**d - 3*r**2 + 2*r**3 + 2*r**3 - r**3 = 0?
0, 1
Let h = -924048 - -924050. Factor 0 - 31/2*a**h - 1/2*a**3 + 16*a.
-a*(a - 1)*(a + 32)/2
Let c(o) be the second derivative of o**4/42 + 36*o**3/7 + 2916*o**2/7 - 338*o. Factor c(w).
2*(w + 54)**2/7
Let t(l) = -2*l**2 + 8*l - 2. Let g be -3 + (-25)/(5 - 10). Let s(c) = c + 1. Let r(f) = g*s(f) + t(f). Find a such that r(a) = 0.
0, 5
Let y = 93706/5 + -18739. Factor -y*c**3 + 37/5*c - 4*c**2 - 6/5.
-(c - 1)*(c + 3)*(11*c - 2)/5
Let j(f) be the second derivative of 0*f**3 + 0 - 47/2*f**2 + 1/420*f**6 - 1/28*f**4 - 25*f + 1/105*f**5. Let v(k) be the first derivative of j(k). Factor v(h).
2*h*(h - 1)*(h + 3)/7
Suppose -3*a = -5*q + 13, 0 = -3*a - 4*q + 9 + 23. Factor -v**2 - 4*v**3 + 310*v**4 - 2*v**2 - 312*v**a + v**2.
-2*v**2*(v + 1)**2
Let r(v) be the first derivative of -v**6/12 + 31*v**5/20 - 105*v**4/16 - 379*v**3/12 + 2219*v**2/8 - 441*v + 4792. Solve r(s) = 0 for s.
-4, 1, 9/2, 7
Let f(c) be the third derivative of c**6/420 + 29*c**5/210 + 55*c**4/84 + 9*c**3/7 + 968*c**2. Factor f(u).
2*(u + 1)**2*(u + 27)/7
Let w = 1/19878 + 39745/218658. Factor 2/11*n**5 + 4/11*n**2 + 0 + 0*n**3 - 4/11*n**4 - w*n.
2*n*(n - 1)**3*(n + 1)/11
Let c be (-22)/(-4) - (-80)/120. Let v = -17/3 + c. Determine k, given that v*k**2 - 3/4*k + 1/4*k**3 + 0 = 0.
-3, 0, 1
Let x(y) be the second derivative of -y**5/10 - 15*y**4/2 + y**3/3 + 45*y**2 - 910*y. Factor x(m).
-2*(m - 1)*(m + 1)*(m + 45)
Let y = 26077 - 130364/5. Factor -6/5*t**2 + 66/5 - y*t.
-3*(t - 2)*(2*t + 11)/5
Let q(h) be the third derivative of h**7/630 - 7*h**6/360 - 19*h**5/180 + 7*h**4/72 + h**3 - 2*h**2 - 122*h + 2. Solve q(y) = 0 for y.
-2, -1, 1, 9
Let i = -109753 - -768277/7. Find d, given that 4/7*d**2 - 2/7 - 6/7*d - i*d**5 - 2/7*d**4 + 12/7*d**3 = 0.
-1, -1/3, 1
Let q(u) = u**2 - 401*u + 1636. Let t(l) = -6*l. Let d(b) = -q(b) - 2*t(b). What is x in d(x) = 0?
4, 409
Let w(p) be the second derivative of p**7/14 - 5*p**6/3 + 73*p**5/20 + 5*p**4/2 + 3005*p - 2. Solve w(q) = 0.
-1/3, 0, 2, 15
Let g(v) be the third derivative of -7*v**6/540 + 29*v**5/90 - 4*v**4/9 + 4*v**3/3 + 4*v**2 - 4*v. Let j(k) be the first derivative of g(k). Factor j(w).
-2*(w - 8)*(7*w - 2)/3
Let k(n) be the third derivative of n**7/105 + 131*n**6/420 + 289*n**5/105 - 44*n**4/21 + 2401*n**2. Let k(v) = 0. Calculate v.
-11, -8, 0, 2/7
Let j(i) = i**2 + 2*i + 3. Let n be (-54)/24 - (-2)/8. Let c be j(n). What is s in 2*s - 2 - 2*s**c + 2 + 6*s = 0?
-2, 0, 2
Suppose -t - 2*r + 17 = -21, -2*r - 42 = -t. Solve -339*v**3 + t + 636*v + 83*v**2 + 80 + 655*v**2 - 192*v**4 + 45*v**5 = 0 for v.
-2, -2/5, -1/3, 2, 5
Let p(q) be the first derivative of -2*q**6/9 + 652*q**5/15