+ 92. Let p(t) be the second derivative of 0*t**2 - 1/63*t**m - 1/45*t**6 + 0 + 0*t**4 + 0*t**3 + 0*t**5 - 4*t. Factor p(z).
-2*z**4*(z + 1)/3
Let p be ((-21)/(-6)*-2*(-2)/2)/(840/48). Factor -8/5*j**2 + 0*j - 6/5*j**3 + 0 + p*j**4.
2*j**2*(j - 4)*(j + 1)/5
Let s(d) be the second derivative of -10*d - 1/80*d**6 - 25/8*d**4 + 0*d**3 - 6 + 0*d**2 - 3/8*d**5. Determine q so that s(q) = 0.
-10, 0
Let v(y) be the first derivative of 5*y**6/4 - 46*y**5/5 + 3*y**4/2 + 2923. Solve v(i) = 0.
0, 2/15, 6
Suppose 257*j - 195 = 218*j. Let f(p) be the third derivative of 0*p + 1/540*p**6 + 0*p**5 - 1/36*p**4 + 0 + 2/27*p**3 - j*p**2. Factor f(r).
2*(r - 1)**2*(r + 2)/9
Let k = -543 + 539. Let h be k/(-5)*1820/504. Factor -4/3 - 4/9*i**2 - h*i.
-2*(i + 6)*(2*i + 1)/9
Let f(b) = -3*b**5 - 10*b**4 - 16*b**3 - 4*b. Let o(m) = 7*m**5 + 21*m**4 + 34*m**3 + 10*m. Let g(h) = 15*f(h) + 6*o(h). Factor g(w).
-3*w**3*(w + 2)*(w + 6)
Let s(w) be the first derivative of -9/2*w**2 - 73 - w**3 + 0*w. Suppose s(x) = 0. What is x?
-3, 0
Let x be (240/(-112) - -2) + (-9)/(-21). Let c be 8/112 + (-2)/(-4). Factor 0 + c*n + x*n**3 + 6/7*n**2.
2*n*(n + 1)*(n + 2)/7
Determine w so that -2/7*w**5 + 2/7*w**3 + 0 + 16/7*w**2 + 0*w - 16/7*w**4 = 0.
-8, -1, 0, 1
Suppose 72/5*h - 232/5*h**2 - 34/5*h**4 + 32/5 + 162/5*h**3 = 0. What is h?
-4/17, 1, 2
Let i(t) = 5*t**2 + 64*t + 363. Let f(u) = 16*u**2 + 191*u + 1089. Let g(o) = -9*o + 38. Let y be g(4). Let a(d) = y*f(d) - 7*i(d). Factor a(s).
-3*(s + 11)**2
Suppose -15 + 36 = 7*q. Suppose -7*y**3 + 5*y**3 + 5*y**q - 3*y**5 = 0. What is y?
-1, 0, 1
Suppose 0 = -64*g + 2916 - 228. Suppose g = 15*c - 3. Let -16*w - 16/3 - 4/3*w**c + 4*w**4 + 4/3*w**5 - 44/3*w**2 = 0. What is w?
-2, -1, 2
Let y(h) = 5*h**2 + 2*h + 1. Let p be y(-1). Let v = -11657/5 - -2333. Find x, given that -3/5*x**p - 7/5*x**2 + v*x**3 + 0 + 2/5*x = 0.
0, 2/3, 1
Let j(q) be the third derivative of q**5/10 - 149*q**4/8 + 219*q**3/2 + 10*q**2 + 281*q. Solve j(l) = 0.
3/2, 73
Let x(d) be the third derivative of -43*d**5/15 + 2*d**4/3 + 1505*d**2. Factor x(m).
-4*m*(43*m - 4)
Suppose t = -5*z + 30, 0 = 3*t - 3*z - 36 - 108. Let a be -3*5/t*-6. Factor 4/7*g + 2/7*g**a + 0 - 2/7*g**3.
-2*g*(g - 2)*(g + 1)/7
Let f = -6672 + 6678. Let v(g) be the third derivative of -1/170*g**5 + 0*g**4 - 1/1020*g**f + 0*g + 32*g**2 + 4/51*g**3 + 0. Factor v(p).
-2*(p - 1)*(p + 2)**2/17
Let g(z) be the first derivative of z**6/18 + 8*z**5/3 + 25*z**4/2 + 220*z**3/9 + 145*z**2/6 + 12*z - 5308. What is q in g(q) = 0?
-36, -1
Factor 832*h**2 + 2056*h + 1092 + 126*h**3 - 290*h**3 + 28*h**3 - 4*h**4.
-4*(h - 7)*(h + 1)**2*(h + 39)
Let x(y) be the third derivative of 1/300*y**5 + 0*y + 1 + 10*y**2 + 1/12*y**4 + 5/6*y**3. Factor x(o).
(o + 5)**2/5
Let g be ((-42)/(-10))/((-42)/(-140)). Factor 15*r**3 + 5*r - 41*r**4 + 25*r**2 - 18*r**4 + g*r**4.
-5*r*(r - 1)*(3*r + 1)**2
Suppose 119 - 7 = 4*b. Suppose -351*u - b = -358*u. Determine m so that 4/3*m**2 - 8/3*m**3 + 0*m - 4*m**u + 0 = 0.
-1, 0, 1/3
Factor 3/8*w**3 - 3/8*w - 45/8 + 45/8*w**2.
3*(w - 1)*(w + 1)*(w + 15)/8
Let k(s) = s**3 + 39*s**2 + 35*s - 9. Let v be k(-38). Let j be 284/336 - 10/v. Suppose 3/4*x**3 - j + 3/4*x**2 - 3/4*x = 0. Calculate x.
-1, 1
Let a(s) be the second derivative of 31/120*s**6 + 39/80*s**5 + 1/6*s**3 + 3/56*s**7 + 0 + 76*s + 0*s**2 + 7/16*s**4. Solve a(x) = 0.
-1, -4/9, 0
Let z(y) be the first derivative of -150 - 1/22*y**4 - 20/11*y**2 + 24/11*y + 6/11*y**3. Find v, given that z(v) = 0.
1, 2, 6
Let b(g) be the third derivative of g**8/151200 - g**6/600 + g**5/2 - g**4/24 - 25*g**2 - 1. Let c(w) be the third derivative of b(w). Factor c(s).
2*(s - 3)*(s + 3)/15
Let v(i) be the first derivative of i**7/315 - i**6/60 + i**5/45 - i**2 - i - 50. Let w(f) be the second derivative of v(f). Factor w(s).
2*s**2*(s - 2)*(s - 1)/3
Factor -413 - 3*p**3 + 21*p**2 + p + 139 + 138 + 2*p**3 + 115.
-(p - 21)*(p - 1)*(p + 1)
Let y be (-2)/(-16)*-2 + 5/20. Let p = -478112/9 + 53124. Determine h so that 0 + p*h - 2/3*h**2 + 2/9*h**4 + y*h**3 = 0.
-2, 0, 1
Let g = 7 + -7. Let f = g - -2. Factor -2*o + 2 + 3 + 0*o - 6 - o**f.
-(o + 1)**2
Let p(f) be the second derivative of -f**5/40 - 25*f**4/8 - 150*f**3 - 3500*f**2 + 299*f. Solve p(x) = 0 for x.
-35, -20
Let v(b) be the first derivative of b**4/8 - 25*b**3/6 + 203*b**2/4 - 539*b/2 + 3921. Solve v(s) = 0.
7, 11
Let t(b) be the second derivative of -1/60*b**5 + 0*b**2 + 29*b - 4*b**3 - 1/14*b**4 + 0 - 1/1260*b**6. Let g(m) be the second derivative of t(m). Factor g(u).
-2*(u + 1)*(u + 6)/7
Let n(d) be the first derivative of d**6/21 - 14*d**5/5 + 396*d**4/7 - 2808*d**3/7 + 2709. Find f, given that n(f) = 0.
0, 13, 18
Let a(b) be the third derivative of 32/75*b**3 + 8/25*b**4 + 13/375*b**5 + 0 - 11/500*b**6 + b + 1/525*b**7 + 2*b**2. Suppose a(l) = 0. Calculate l.
-1, -2/5, 4
Let i(t) be the second derivative of t**7/231 + 2*t**6/55 + 4*t**5/55 - 993*t. Determine u so that i(u) = 0.
-4, -2, 0
Let u be 0/(45/(-165) + (-28)/(-22)). Suppose -2*g + 173 = -27. Factor -4*c**4 + 3*c**2 + g + 3*c**3 + 3*c**4 + u*c**3 - 7*c - 106.
-(c - 3)*(c - 2)*(c + 1)**2
Let p(i) be the second derivative of i**7/2 - 13*i**6/5 - 15*i**5/2 + 60*i**4 - 117*i**3/2 - 81*i**2 + 220*i. Solve p(z) = 0.
-3, -2/7, 1, 3
Let t(g) be the third derivative of 1/60*g**5 - 1/24*g**4 + 0 - 1/6*g**3 - 47*g**2 + 1/120*g**6 + g. Factor t(y).
(y - 1)*(y + 1)**2
Suppose 0 = 5*u, -2*u = -b - 4*b + 15. Let z = 9124 - 9122. Suppose -3/2*s**z + 2 + 1/2*s**b + 0*s = 0. Calculate s.
-1, 2
Find o such that -1110*o - 641*o - 4*o**2 - 3755844 - 422*o - 1703*o + 3*o**2 = 0.
-1938
Let d(l) be the second derivative of -3*l**5/20 + 12*l**4 - 93*l**3/2 + 69*l**2 + 7*l - 1. Factor d(x).
-3*(x - 46)*(x - 1)**2
Let n(j) be the first derivative of 71 + 1/3*j**2 - 2/27*j**3 - 4/9*j. Factor n(b).
-2*(b - 2)*(b - 1)/9
Let n be ((-94)/(-141))/((-1 - -4)/9). Let g = -2/105 + 244/1785. What is v in 0*v + g*v**n + 2/17*v**3 + 0 = 0?
-1, 0
Let o(x) be the second derivative of -x**4/60 + 133*x**3/30 - 131*x**2/5 - 972*x. Let o(w) = 0. Calculate w.
2, 131
Let i(k) be the first derivative of -k**4/2 - 44*k**3/3 + 727. Factor i(c).
-2*c**2*(c + 22)
Let i be 9699/12 - -1 - (-6)/8. Let n be (-4)/(-18) + 1278/i. Solve 6/5*t**2 - n*t**5 + 0 + 6*t**4 + 0*t - 27/5*t**3 = 0 for t.
0, 1/3, 1, 2
Let s(n) be the third derivative of 0 - n**2 + 22*n + 0*n**3 - 1/30*n**5 + 3/32*n**4 - 1/480*n**6. Let s(h) = 0. What is h?
-9, 0, 1
Let o(k) be the first derivative of -5*k**3/3 - 65*k**2 - 845*k - 5839. Factor o(u).
-5*(u + 13)**2
Let j(h) = -8*h**3 + 643*h**2 - 637*h - 1270. Let t(k) = -23*k**3 + 1928*k**2 - 1907*k - 3810. Let o(c) = -8*j(c) + 3*t(c). Factor o(d).
-5*(d - 127)*(d - 2)*(d + 1)
Suppose -691 = -24*m - 43. Factor -3*w**5 - 21*w**2 + 106*w - 79*w + 39*w**3 - 15*w**4 - m*w.
-3*w**2*(w - 1)**2*(w + 7)
Suppose -2*b + 8 = -0*b. Suppose -5*j - 107 = 3*u - 31, 7564*u = 7565*u - 5*j - 88. Find y such that 0 - 4*y**2 + 0*y - 52/3*y**u - 16/3*y**b = 0.
-3, -1/4, 0
Suppose 55/3*q + 200 + 1/3*q**2 = 0. What is q?
-40, -15
Let q = 15001 - 14999. Let n(z) be the second derivative of 0*z**q + 0 - 2/33*z**3 + 1/66*z**4 - 31*z. Factor n(d).
2*d*(d - 2)/11
Let u(f) = f**3 - 7*f**2 + 12448*f - 87134. Let n be u(7). Factor 2/21*s**n + 6728/21 + 232/21*s.
2*(s + 58)**2/21
Let n(o) = 3*o**3 + 620*o**2 - 19825*o - 42246. Let q(m) = -20*m**3 - 3715*m**2 + 118950*m + 253475. Let d(a) = 25*n(a) + 4*q(a). Solve d(f) = 0 for f.
-2, 65
Suppose -32*q + 0 + 10*q**5 - 2106/7*q**4 + 4096/7*q**3 - 216/7*q**2 = 0. Calculate q.
-1/5, 0, 2/7, 2, 28
Let r be (-4)/(-42)*9 - (-126)/49. Factor 2/7*q**2 + r*q + 72/7.
2*(q + 6)**2/7
Suppose 0*i**3 - 3/4 - 2*i + 1/4*i**4 - 3/2*i**2 = 0. Calculate i.
-1, 3
Solve -6*f**4 + 0*f + 0*f**2 + 0 + 1/6*f**5 + 34/3*f**3 = 0.
0, 2, 34
Suppose 959*l = 965*l - 12. Solve -14*x + 5*x**l - 175 - x - 2*x + 7*x = 0.
-5, 7
Suppose 3*v - 288 = -3*v. Suppose -33 + v*s - 60 - 4*s**2 + 13 = 0. What is s?
2, 10
Suppose 0 = -416*w + 420*w - 24. Let k(q) be the second derivative of 1/4*q**5 + 0 + 55/6*q**3 - w*q - 25/2*q**2 - 35/12*q**4. Factor k(g).
5*(g - 5)*(g - 1)**2
Find i, given that -181/5*i + 91/5 - 2/5*i**2 - 89/5*i**4 + 182/5*i**3 - 1/5*i**5 = 0.
-91, -1, 1
Let i = 8 - 0. 