2 + 3568753114 - 884913660 - 730817710*y - 618401671*y = 0.
2, 1103
Suppose -7*p + 117*p = 2 - 2. Let m(w) be the second derivative of -1/4*w**5 + p + 0*w**2 + 10*w + 0*w**3 + 5/12*w**4. Factor m(d).
-5*d**2*(d - 1)
Suppose -70 = -4*o - 58. Factor -50*n - 2*n**3 + 31*n + 21*n - o*n**4 + 2*n**2 + n**4.
-2*n*(n - 1)*(n + 1)**2
Let b(m) be the second derivative of -m**5/40 + m**4/24 + 13*m**3/6 + 6*m**2 - 815*m. Factor b(v).
-(v - 6)*(v + 1)*(v + 4)/2
Let r(m) = 9*m**2 + 22*m**2 - 2*m - 13 - 9*m. Let z(s) = -11*s + 16*s**2 - 14 + 13*s + 7 - 7*s. Let u(c) = -4*r(c) + 7*z(c). Find p such that u(p) = 0.
-1/4, 1
Solve -2/21*h**3 + 578/21*h + 290/21 + 286/21*h**2 = 0.
-1, 145
Find x such that -107719 - 798496 - 3*x**2 - 3197*x - 170188 - 397*x = 0.
-599
Suppose -4*a - 32 = 0, 12*h + 7*h + a = -h + 16712. Suppose 38*o + 2 + 968*o**4 + 537/2*o**2 + h*o**3 = 0. What is o?
-1/4, -2/11
Let w = 21808/32727 - -10/32727. Factor 0*n + 2/3*n**5 + w*n**2 + 2*n**4 + 0 + 2*n**3.
2*n**2*(n + 1)**3/3
Let c(g) = -g**2 - 20 - 18 - 8*g + 22*g. Let k be c(10). Factor 70*y**2 - 3*y - 65*y**k - 22*y.
5*y*(y - 5)
Let c(j) be the second derivative of -j**7/1260 - j**6/30 - 11*j**5/60 + j**4/4 - 3*j - 13. Let d(x) be the third derivative of c(x). Find g such that d(g) = 0.
-11, -1
Let f(l) be the first derivative of l**4/4 - 31*l**3/3 - 33*l**2 + 1891. Find r, given that f(r) = 0.
-2, 0, 33
Find t such that -1425 + 1766*t + 2*t**2 - 5*t**2 - 3194*t = 0.
-475, -1
Let h = 1366 + -960. Suppose 12*o + 28*o**3 + h + 39*o**2 - 819 + 414 = 0. Calculate o.
-1, -1/4, -1/7
Factor 128/7 + 1/7*f**4 + 19/7*f**3 + 32*f + 114/7*f**2.
(f + 1)*(f + 2)*(f + 8)**2/7
Let c(m) = m + 33. Let a = -63 - -30. Let l be c(a). Factor -3/2*x + l - 6*x**2.
-3*x*(4*x + 1)/2
Let v(o) be the first derivative of 2*o**6/3 - 252*o**5/5 + 122*o**4 + 8*o**3/3 - 246*o**2 + 244*o + 1077. Suppose v(h) = 0. Calculate h.
-1, 1, 61
Let k(c) be the third derivative of -1/360*c**6 + 37*c**2 - 25/24*c**4 + 13/60*c**5 + 37/18*c**3 + 0 + 2*c. Factor k(b).
-(b - 37)*(b - 1)**2/3
Let b be -2682 + 2692 + 2/3*-13. Let -8/9*d**4 - 2/9*d - 8/9*d**2 - b*d**3 - 2/9*d**5 + 0 = 0. Calculate d.
-1, 0
Let n(s) be the first derivative of 124/3*s**3 + 4/5*s**5 + 17*s**4 + 30*s**2 - 3 + 0*s. Let n(d) = 0. Calculate d.
-15, -1, 0
Let g(h) be the first derivative of 119 + 0*h - 2/3*h**3 + 3*h**2. Determine q so that g(q) = 0.
0, 3
Let a(k) be the second derivative of -k**5/5 + 103*k**4/3 - 5200*k**3/3 - 5408*k**2 - 176*k + 5. Factor a(z).
-4*(z - 52)**2*(z + 1)
Let t be (5 + 39/(-8))*-1062. Let s = 133 + t. Find w such that 3/4*w - s*w**3 - 1/2 + 0*w**2 = 0.
-2, 1
Let w = 15 + 49. Factor -58*j**2 - 38 - 12*j**3 - 50 + w - 30*j**2 - 100*j.
-4*(j + 1)*(j + 6)*(3*j + 1)
Solve -133*p**4 + 140*p**4 + 10*p**5 + 90 - 65*p**2 - 32*p**4 - 205*p**3 + 195*p = 0.
-3, -1, -1/2, 1, 6
Factor 1200*k**2 + 92193*k**5 - 184383*k**5 + 92186*k**5 + 72*k**4 - 640*k**3 + 20*k**4.
-4*k**2*(k - 10)**2*(k - 3)
Let f(m) be the first derivative of 4*m**5/25 - 2*m**4 - 244*m**3/15 + 524*m**2/5 + 1248*m/5 - 1762. Solve f(n) = 0.
-6, -1, 4, 13
Let d be ((210/(-40))/7)/(3/(-8)). Let q = 100 + -100. Factor -2/7*t + q + 0*t**3 + 2/7*t**5 - 4/7*t**d + 4/7*t**4.
2*t*(t - 1)*(t + 1)**3/7
Let x = 22395/5377 - 79/19. Let j = 279/566 + x. Suppose h**3 + 0*h - 3/2*h**2 + j = 0. Calculate h.
-1/2, 1
Let r = 221 - 218. Factor 454*c**2 + 10*c + 14*c - 434*c**2 - 5*c**r + c**3.
-4*c*(c - 6)*(c + 1)
Let o be (-12)/(-228)*-323 - (-17 + 0). Factor -3*s**3 - 5/3*s**2 + o*s - s**4 + 1/3*s**5 + 0.
s**2*(s - 5)*(s + 1)**2/3
Factor -304*m - 53*m + 8*m - m**2 + 3036 - 115*m - 56860.
-(m + 232)**2
Determine z so that -650*z + z**4 + 273*z + 262*z + 4*z**4 - 2*z**3 + 17*z**3 - 60 - 45*z**2 = 0.
-4, -1, 3
Let p be (-93)/3 + (-12)/(-4). Let g be p/3*3/(-2). Factor 3*t + 32*t**2 - g*t - 4*t - 35*t**2.
-3*t*(t + 5)
Let s(y) be the first derivative of y**8/168 + y**7/105 - y**6/30 + 167*y**2/2 - 90. Let b(h) be the second derivative of s(h). Solve b(x) = 0.
-2, 0, 1
Let l(u) = -3*u. Suppose -2*k - 9 = -7. Let b be l(k). Factor -45*j**4 - j**2 + 3*j**2 + 44*j**4 - j**b.
-j**2*(j - 1)*(j + 2)
Let b(q) be the first derivative of 2/15*q**3 + 121 + 1352/5*q + 52/5*q**2. Factor b(w).
2*(w + 26)**2/5
Suppose -13*g = -18*g. Let f(i) be the third derivative of 1/770*i**7 + g*i + 0*i**3 + 0*i**5 + 0 - 1/1320*i**6 + 0*i**4 + 9*i**2. Factor f(s).
s**3*(3*s - 1)/11
Let z = 6391/3480 - 443/696. Factor 0*u**2 + 4/5 + 2/5*u**3 - z*u.
2*(u - 1)**2*(u + 2)/5
Let f(i) be the third derivative of i**6/40 + 457*i**5/20 + 911*i**4/8 + 455*i**3/2 + 74*i**2 - 4. Factor f(o).
3*(o + 1)**2*(o + 455)
Suppose -2*s - 842 = -420*s - 3*s. Find v, given that -11/4*v**s + 0 + 3*v**3 + 0*v - 1/4*v**4 = 0.
0, 1, 11
Let f be 52/(-845)*(10/(-48) - 0). Let j(k) be the second derivative of 0*k**2 + 3/130*k**5 + f*k**4 + 0*k**3 + 0 - 13*k. Factor j(n).
2*n**2*(3*n + 1)/13
Let x(u) be the second derivative of -u**7/15 - 34*u**6/75 + 27*u**5/25 + 28*u**4/3 + 169*u**3/15 - 6*u**2 + 5*u + 390. Determine l so that x(l) = 0.
-5, -2, -1, 1/7, 3
Suppose -8*b = -7*b + 84. Let m = b - -88. Factor 11*f - m*f + 3*f - f**3 - 4*f**3 + 5*f**2.
-5*f*(f - 2)*(f + 1)
Let h(k) = -k**3 + 11*k**2 + 20*k + 3. Let x(c) = -6*c**2 - 10*c - 2. Let v = 203 - 118. Let u be (4 - v/15)*-3. Let a(t) = u*x(t) + 2*h(t). Factor a(o).
-2*(o + 1)**2*(o + 2)
Let a(z) = -10*z + 0*z**4 + 2*z + 2*z**2 + 4*z**4 + 2*z**5 + 8*z**3 - 7. Let g(f) = f**5 + f**4 + f**3 + f**2 - 1. Let r(p) = 5*a(p) - 15*g(p). Factor r(b).
-5*(b - 2)**2*(b + 1)**3
Let -24*t**4 + 37*t**5 + 13867500*t**3 + 12924*t**4 + 34*t**5 - 102*t**5 + 4969187500*t**2 + 35*t**5 = 0. Calculate t.
-1075, 0
Let n be (-6)/(-33) + ((-69)/(-99))/((-270)/69). Let g(w) be the third derivative of 0*w + 0 - 1/27*w**4 - n*w**5 + 0*w**3 - 18*w**2. What is a in g(a) = 0?
-4, 0
Let a be 0/(2*(-2 + 1) + 6). Suppose 0 = 5*u - 3*f - 212, 0*u + 5*f = -4*u + 140. Factor -3*p**2 + u*p**3 + 8*p**2 + 15*p**2 + a*p**5 + 5*p**5 + 25*p**4.
5*p**2*(p + 1)*(p + 2)**2
Suppose 1417*v = -221*v - 607*v + 11225. Determine s, given that -2/9*s**4 + 0*s**2 + 0*s + 0*s**3 + 0 - 2/9*s**v = 0.
-1, 0
Let v be (6 - 16) + 1 - (0 + -41). Let b(i) be the first derivative of v*i - 8*i**2 - 11 + 2/3*i**3. Let b(c) = 0. What is c?
4
Let j(z) be the first derivative of -6*z**3 + 2 - 1/2160*z**6 + 0*z - 25/144*z**4 + 1/72*z**5 + 0*z**2. Let k(q) be the third derivative of j(q). Factor k(g).
-(g - 5)**2/6
Let y = 84740/3 - 28246. Factor 4*g**3 + 0*g + 0 - y*g**4 - 10/3*g**2.
-2*g**2*(g - 5)*(g - 1)/3
Factor 2650*a**2 + 3511250*a + 2/3*a**3 + 4652406250/3.
2*(a + 1325)**3/3
Let y(h) = h**4 + h**3 + h - 1. Let n(t) = t**4 + 127*t**3 - 82*t**2 - 19*t - 9. Let r(f) = 2*n(f) - 18*y(f). Find i, given that r(i) = 0.
-1/4, 0, 1, 14
Let l(r) be the second derivative of -r**6/135 + r**5/90 + 91*r**4/54 - 181*r**3/27 + 10*r**2 - 1159*r. What is g in l(g) = 0?
-10, 1, 9
Let j be -7*(-6)/(-126)*(-42)/(-49)*-1. Factor 64/7*k - 512/7 - j*k**2.
-2*(k - 16)**2/7
Let z(s) be the first derivative of -4*s**3/3 - 508*s**2 - 2016*s + 2416. Let z(a) = 0. What is a?
-252, -2
Let a = 349 - 519. Let c be (a/190 + (-4)/38)*-2. Factor -3*w**c + 3/5*w**4 - 9/5*w + 0 - 3/5*w**3.
3*w*(w - 3)*(w + 1)**2/5
Factor 1/3*l**4 + l**3 + 0*l + 0 + 2/3*l**2.
l**2*(l + 1)*(l + 2)/3
Determine h so that 66*h**2 + 221*h - 43*h + 21*h + 126*h - 570 + 177*h + 2*h**3 = 0.
-19, -15, 1
Let a(s) be the first derivative of -47*s**5/12 + 5*s**4/4 + 51*s**2 - 292. Let p(f) be the second derivative of a(f). What is u in p(u) = 0?
0, 6/47
Let w(h) = 5*h**3 + 31*h**2 + 44*h + 255. Let y be w(-6). Let z(c) be the first derivative of 15/2*c**2 + y + 0*c + 5/3*c**3. Factor z(p).
5*p*(p + 3)
Suppose -2*y = -3*h + 16, -10 = -18*h + 14*h - 3*y. Let n(a) be the third derivative of 1/270*a**5 + 0 + 0*a + 5/108*a**h + 0*a**3 - 10*a**2. Factor n(x).
2*x*(x + 5)/9
Let c(u) be the third derivative of 13*u**5/12 - 35*u**4/6 + 10*u**3/3 - 4895*u**2. Find y such that c(y) = 0.
2/13, 2
Let k(s) be the second derivative of -1/55*s**5 + 44*s - 2/11*s**2 + 2/165*s**6 + 1/231*s**7 - 7/33*s**3 - 4/33*s**4 + 2. Factor k(c).
2*(c - 2)*(c + 1)**4/11
Let f = 42 + -37. Suppose -n = n - 3*q - 15, 0 = -f*q - 15. Solve 40*w**n - 93*w**3 - 10*w*