*2. Factor v(k).
5*k*(k - 1)**2*(3*k + 1)
Let s(r) be the second derivative of r**4/30 - 77*r**3/15 + 30*r**2 + 168*r + 2. Determine w so that s(w) = 0.
2, 75
Let c(z) = -380*z**2 + 1141*z + 1. Let s be c(3). Suppose -7/2*g**2 + s + 1/2*g**5 + 5*g - 11/2*g**3 - 1/2*g**4 = 0. Calculate g.
-2, -1, 1, 4
Let n(h) be the first derivative of -5*h**3/3 - 415*h**2/2 + 1290*h + 1821. Suppose n(i) = 0. What is i?
-86, 3
Let j be (6/28)/((-3)/(-4)). Let l = 1208/63 - 170/9. What is h in l*h**3 + 6/7*h**2 - 2/7*h**4 - 4/7 - j*h = 0?
-1, 1, 2
Let t = 14139 + -14133. Let n(w) be the third derivative of -1/30*w**5 + 11*w**2 + 0*w + 2/15*w**4 - 4/15*w**3 + 0 + 1/300*w**t. Factor n(q).
2*(q - 2)**2*(q - 1)/5
Let v(h) be the third derivative of 0*h + 41/32*h**4 + 0 - 28*h**2 - 4/5*h**5 - 5/4*h**3 - 1/20*h**7 + 1/448*h**8 + 23/80*h**6. Factor v(d).
3*(d - 10)*(d - 1)**4/4
Let k(d) be the second derivative of d**6/30 - 71*d**5/20 + 103*d**4/6 - 68*d**3/3 - 2*d + 620. Let k(h) = 0. Calculate h.
0, 1, 2, 68
Let s(r) be the first derivative of -r**3 + 24 - 31 - 21*r**2 - 21*r + 82 - 126*r. Suppose s(z) = 0. Calculate z.
-7
Let x(g) be the first derivative of 14/3*g**3 + 0*g + 25 + 12*g**2 + 1/2*g**4. Factor x(j).
2*j*(j + 3)*(j + 4)
Let s be (-81)/(-12)*(5/45 + (-7)/(-63)). Solve 2*j + 17/2*j**2 - s + 5*j**3 = 0.
-1, 3/10
Factor -32/5 + 4/5*n**3 + 8/5*n**2 - 16/5*n.
4*(n - 2)*(n + 2)**2/5
Let o(c) = 2*c**5 + c**4 - c**3 + c**2 - 8*c - 1. Let y(i) = -15*i**5 + 35*i**4 - 90*i**3 + 55*i**2 + 40*i + 5. Let a(n) = -5*o(n) - y(n). Factor a(g).
5*g**2*(g - 4)*(g - 3)*(g - 1)
Factor -16149*i - 1976 + 16290*i + 62 + 3*i**2.
3*(i - 11)*(i + 58)
Suppose -240*z - 149*z = -382 - 1174. Let l(a) be the first derivative of -a**5 + 15/2*a**2 - 15/4*a**z - 1 - 5/3*a**3 + 10*a. Factor l(p).
-5*(p - 1)*(p + 1)**2*(p + 2)
Let h(z) = 3*z**3 - 915*z**2 + 69349*z + 70217. Let s(l) = 4*l - 1. Let g(o) = -h(o) + 10*s(o). Determine y, given that g(y) = 0.
-1, 153
Let f(r) be the first derivative of 11*r**5/5 + 4*r**4 - 23*r**3/3 - 8*r**2 + 12*r + 873. Determine q, given that f(q) = 0.
-2, -1, 6/11, 1
Suppose 223*w + 36 = 217*w. Let p(l) = -l**2 + l + 2. Let h(x) = -5*x**5 - 45*x**4 - 70*x**3 + 6*x**2 - 6*x - 12. Let m(j) = w*p(j) - h(j). Factor m(g).
5*g**3*(g + 2)*(g + 7)
Suppose 423*p**2 - 288930*p**5 - 516*p + 6*p**4 - 135*p**3 + 3*p**2 + 216 + 288933*p**5 = 0. What is p?
-9, 1, 2
Let n(x) be the second derivative of -51*x**5/10 + 143*x**4/24 - 31*x**3/12 + x**2/2 + 3706*x. Suppose n(t) = 0. Calculate t.
2/17, 1/4, 1/3
What is z in -176*z**3 + 1945*z + 1140 + 1170 - 360*z**2 + 87*z**3 + 94*z**3 = 0?
-1, 7, 66
Suppose 285 - 279/2*z - 3/2*z**2 = 0. What is z?
-95, 2
Let p(h) be the first derivative of h**4 + 168*h**3 + 742*h**2 + 984*h - 1713. Factor p(j).
4*(j + 1)*(j + 2)*(j + 123)
Factor -47/2*o**2 - 2*o**3 + 3/2*o**4 - 22*o + 10.
(o - 5)*(o + 2)**2*(3*o - 1)/2
Let m(n) = 85*n**3 - 66*n**2 + 1077*n - 12. Let l(g) = 7*g**3 - g - 1. Let u(a) = -12*l(a) + m(a). Let u(q) = 0. Calculate q.
0, 33
Suppose -3*c - 1048 = 5*r + 874, 2548 = -4*c - 3*r. Let l = -632 - c. Let 1/3*t**2 + 5/3 - l*t = 0. Calculate t.
1, 5
Let s(p) be the third derivative of p**7/42 + 163*p**6/3 + 53138*p**5 + 86614940*p**4/3 + 28236470440*p**3/3 - 1588*p**2. Factor s(c).
5*(c + 326)**4
Let s(n) be the first derivative of n**3/6 + 187*n**2/4 - 189*n + 4456. Factor s(k).
(k - 2)*(k + 189)/2
Suppose -2*f - 4 + 8 = 0, r - 1 = f. Let m be r/15 + (-84)/(-30). Let 0*y**2 + 0 + 0*y**4 - 2/3*y**m + 2/3*y**5 + 0*y = 0. Calculate y.
-1, 0, 1
Let j(d) be the second derivative of 1/5*d**5 - 128*d**2 + 0 + 26*d + 4/3*d**4 - 32/3*d**3. Suppose j(y) = 0. Calculate y.
-4, 4
Let t = 2126 + -2126. Let y(g) = -149*g + 2. Let i be y(t). Factor 5/8*q - 5/8*q**3 - 3/8*q**i + 3/8.
-(q - 1)*(q + 1)*(5*q + 3)/8
Suppose -3*f = -5*n + 1, -8*f + 9*f + 13 = 8*n. Determine j, given that 0*j - 12*j**3 - 40/3*j**n + 4/3*j**4 + 0 = 0.
-1, 0, 10
Factor -32/5*c - 26/5*c**4 - 94/5*c**2 + 2/5*c**5 + 0 - 18*c**3.
2*c*(c - 16)*(c + 1)**3/5
Let n = -103135 - -412543/4. Factor 51/2*u - n*u**2 - 867/4.
-3*(u - 17)**2/4
Let p(i) be the first derivative of 32/27*i**6 - 169/27*i**3 + 112/15*i**5 + 11/9*i**4 - 5/9*i - 22 + 3*i**2. Factor p(k).
(k + 1)*(k + 5)*(4*k - 1)**3/9
Factor 3004/3*u - 124998*u**2 - 8/3 + 15813251/3*u**4 + 15435245/3*u**3.
(u + 1)*(251*u - 2)**3/3
Let g(l) be the second derivative of -l**6/540 + 7*l**5/36 + l**4 + 2*l**3 - 65*l. Let r(t) be the second derivative of g(t). Factor r(q).
-2*(q - 36)*(q + 1)/3
Suppose -14 = 4*k - 2*m, k - 471*m = -472*m + 13. Determine v so that 3/4*v + 27/8*v**4 + 0 + 15/8*v**5 - 27/8*v**k - 21/8*v**3 = 0.
-2, -1, 0, 1/5, 1
Let l(k) be the second derivative of -k**6/15 + 23*k**5/10 - 7*k**4 + 14*k + 152. Factor l(z).
-2*z**2*(z - 21)*(z - 2)
Let y = -29585 + 29588. Let c(z) be the second derivative of -1/3*z**6 - 2*z - 1/15*z**5 + 0*z**2 - 3/7*z**7 + 0 + 0*z**4 + 0*z**y. What is g in c(g) = 0?
-1/3, -2/9, 0
Let c(n) be the third derivative of 0*n**4 - 1/70*n**7 + 0*n**3 + 5/4*n**5 + 0*n - 191*n**2 + 0 + 3/5*n**6. Factor c(z).
-3*z**2*(z - 25)*(z + 1)
What is m in -49/4*m - 5 - 39/4*m**2 - 11/4*m**3 - 1/4*m**4 = 0?
-5, -4, -1
Let i = 4484/37345 + 15/7469. Let q = i + 6/77. Factor 0 - 7/5*g + q*g**2.
g*(g - 7)/5
Let -7232/17*v - 4824/17 + 6/17*v**2 = 0. What is v?
-2/3, 1206
Let k(z) = -7*z**2 + z + 138. Let m(d) = -7*d**2 + 2*d + 159. Let s(p) = -7*k(p) + 6*m(p). Find c such that s(c) = 0.
-12/7, 1
Let o(k) = -32*k**2 - 517*k - 1950. Let i be o(-6). Determine z so that 0*z**2 - 8/11*z**4 + 8/11*z**3 + i*z + 0 + 2/11*z**5 = 0.
0, 2
Let t(z) be the third derivative of z**7/42 - 75*z**6/4 + 50173*z**5/12 + 42375*z**4/2 + 127690*z**3/3 - 80*z**2 + 2. Factor t(w).
5*(w - 226)**2*(w + 1)**2
Solve -902*o + 904*o - 17*o**3 + 4 + 55*o**3 - 14*o**4 - 30*o**2 = 0 for o.
-2/7, 1
Let y = 226 + -223. Let z**y - z - 59*z**2 + 28*z**2 + 4 + 27*z**2 = 0. What is z?
-1, 1, 4
Let s(k) be the third derivative of 3*k**7/560 + 53*k**6/160 + 15*k**5/8 + 147*k**4/32 + 97*k**3/16 + k**2 + 471*k. Solve s(g) = 0.
-97/3, -1
Let c(p) be the second derivative of -p**4/10 + 371*p**3/5 + 30*p + 18. Suppose c(z) = 0. What is z?
0, 371
Let d(x) be the second derivative of 0*x**3 - 1/100*x**5 + 0*x**4 + 0 - 1/75*x**6 + 0*x**2 + 54*x - 1/210*x**7. Factor d(r).
-r**3*(r + 1)**2/5
Let s(i) be the third derivative of -5*i**8/84 - 2*i**7/15 + 11*i**6/10 + 19*i**5/15 - 14*i**4/3 - 8*i**3 + 2730*i**2. Suppose s(w) = 0. What is w?
-3, -1, -2/5, 1, 2
Factor -r**4 - 3802*r**2 + 28*r**3 + 3803*r**2 - 28*r + 0*r**3.
-r*(r - 28)*(r - 1)*(r + 1)
Let x = 3 + -5. Let s be -1*(3 - (-12)/(-8))*x. Determine m so that -4*m**s - m**5 - m**2 - m**2 + 0*m**5 + 9*m**4 - 5*m**4 + 5*m - 2 = 0.
-1, 1, 2
Let b = -1748 + 1751. Let r(m) be the second derivative of 0 + 11*m + 1/200*m**5 + 1/120*m**4 - 1/20*m**2 - 1/60*m**b. Find o such that r(o) = 0.
-1, 1
Let w(h) = 4*h**3 - 19*h**2 + 70*h + 102. Let p(q) = 9*q**3 - 36*q**2 + 137*q + 203. Let m(x) = -6*p(x) + 14*w(x). Factor m(j).
2*(j - 21)*(j - 5)*(j + 1)
Let r(k) be the second derivative of 3*k**7/70 - 19*k**6/10 - 32*k**5 - 163*k**4 - 304*k**3 - 1312*k**2/5 - 2*k + 1092. Let r(o) = 0. What is o?
-4, -2/3, 41
Factor 171*t - 2*t**4 + 50*t**3 - 2*t**4 + 2*t**4 - 512 - 336*t**2 + 479*t + 150*t.
-2*(t - 16)*(t - 4)**2*(t - 1)
Let m(h) be the first derivative of h**4/2 + 34*h**3 + 624*h**2 - 1352*h + 1173. Factor m(d).
2*(d - 1)*(d + 26)**2
Let l(v) = v**3 - v**2. Let n(o) = 4*o**2 + 9*o + 4*o**2 - 6*o**2 - 6*o**2 - 33*o + 8*o**3 + 8. Let a(h) = -2*l(h) + n(h). Factor a(c).
2*(c - 2)*(c + 2)*(3*c - 1)
Let b(q) = 1 + 3*q**2 - 4*q**2 + 10*q + 4. Let x(h) = -5*h**2 + 60*h + 30. Suppose 0 = m - 2*l - 3*l + 4, 0 = l - 2. Let u(w) = m*x(w) - 35*b(w). Factor u(v).
5*(v + 1)**2
Let z(o) be the first derivative of o**4/2 + 892*o**3 - 2679*o**2 + 2680*o - 4055. Factor z(f).
2*(f - 1)**2*(f + 1340)
Let n(s) = 3*s + 41. Let k be n(-12). Suppose k*l - 83 = -4*f, -2*l = -l + 5*f - 25. Factor 3*w**3 + w + 11 - l + 4 + 4*w**2.
w*(w + 1)*(3*w + 1)
Let d = 10406/3 - 541031/156. Let v = d - 1/52. Factor v*a + 0 - 1/4*a**3 + 1/4*a**2.
-a*(a - 2)*(a + 1)/4
Let a(m) be the first derivative of m**4/42 - 5*m**3/42 - 3*m**2/14 + 50*m - 275. Let o(r) b