/160 + 4987*a**4/16 - 21845*a**3/12 + 7225*a**2/2 + 28*a - 53. Solve b(t) = 0 for t.
1, 2, 170
Let s(i) be the third derivative of 0*i - 1/30*i**7 + 13*i**2 + 0*i**3 + 0 + 3/4*i**4 - 1/3*i**6 - 17/20*i**5. Factor s(a).
-a*(a + 3)**2*(7*a - 2)
Let t(y) be the third derivative of -y**6/240 - y**5/30 + 11*y**4/48 + 5*y**3/2 + 420*y**2. Factor t(f).
-(f - 3)*(f + 2)*(f + 5)/2
Let n(r) = 2*r**4 + 32*r**3 - 349*r**2 - 4. Let l(t) = -t**4 - 2*t**3 - 2*t**2 + 4. Let z(o) = -l(o) - n(o). Determine d so that z(d) = 0.
-39, 0, 9
Factor 520/7 - 25/7*l**2 - 46/7*l + 1/7*l**3.
(l - 26)*(l - 4)*(l + 5)/7
Let o(y) be the first derivative of -y**6/720 + y**5/120 - y**4/72 + 3*y**2 + 13*y + 149. Let l(p) be the second derivative of o(p). Factor l(s).
-s*(s - 2)*(s - 1)/6
Suppose -2*s = 97*p - 98*p - 22, 0 = -4*p - 5*s + 55. Factor p - 50/3*q - 20/3*q**2 - 2/3*q**3.
-2*q*(q + 5)**2/3
Let z(y) = -6*y**2 + 134*y - 402. Let j(b) = 8*b**2 - 131*b + 402. Let q(k) = 4*j(k) + 6*z(k). Factor q(v).
-4*(v - 67)*(v - 3)
Let k(b) be the second derivative of -b**7/14 + 27*b**6/5 + 33*b**5/4 - 11934*b. Factor k(m).
-3*m**3*(m - 55)*(m + 1)
Let q(m) be the first derivative of -11/18*m**4 - 4/3*m**2 - 56/27*m**3 + 1/9*m**6 + 77 + 0*m + 16/45*m**5. Solve q(g) = 0 for g.
-3, -1, -2/3, 0, 2
Let t(h) = 20*h**4 + 60*h**3 - 66*h**2 - 142*h + 128. Let v(f) = f**5 + 2*f**4 - f**3 - f**2 - f. Let u(w) = -t(w) - 2*v(w). Solve u(i) = 0.
-8, -4, -2, 1
Let d = -339 + 372. Factor 174 + 15*k - 166 + d*k - 26*k**2.
-2*(k - 2)*(13*k + 2)
Let d = 115/26 - -19/78. Let f be (2 - -44)/(-1 - -4). Factor -40/3*v + 8/3 - d*v**3 + f*v**2.
-2*(v - 2)*(v - 1)*(7*v - 2)/3
Let i(m) be the second derivative of m**4/4 - m**3 - 12*m**2 - 7620*m. Factor i(c).
3*(c - 4)*(c + 2)
Let d be 4/12 + 277812/(-270). Let x = 1029 + d. Factor 0 + 16/5*u + x*u**2.
2*u*(u + 8)/5
Let i(u) be the second derivative of -6 - 14*u - 9/2*u**2 + 1/3*u**4 - 3/2*u**3. Determine m, given that i(m) = 0.
-3/4, 3
Let m be ((-1)/2)/((-85)/(-247945)). Let d = 1532 + m. Factor -2 + 21*p + 343/4*p**3 - d*p**2.
(7*p - 2)**3/4
Let b(s) = -4*s**3 + 2*s**2 + 5*s + 5. Let m be b(-3). Suppose -13*l = 77 - m. Factor -5/2 - l*k - 1/2*k**2.
-(k + 1)*(k + 5)/2
Factor 1580 - 53*o**2 + 15*o**2 + 3*o**2 + 2948*o + 2572*o.
-5*(o - 158)*(7*o + 2)
Let r(q) = 391*q + 3519. Let d be r(-9). Let z(s) be the second derivative of -21*s - 10*s**3 + 10*s**2 + d + 1/6*s**6 - 3/2*s**5 + 65/12*s**4. Factor z(c).
5*(c - 2)**2*(c - 1)**2
Let u(j) be the first derivative of -5/3*j**3 + 2/5*j**5 + 7/4*j**4 - 14*j**2 - 12*j - 168. Find n, given that u(n) = 0.
-3, -2, -1/2, 2
Let p = -482346 - -482347. Factor -4/3*o + p + 1/3*o**2.
(o - 3)*(o - 1)/3
Let m(c) be the first derivative of 4*c**3/9 - 20*c**2/3 - 52*c + 578. Determine t, given that m(t) = 0.
-3, 13
Let 90 + 723/5*w**2 + 243/5*w**3 - 399*w - 12/5*w**5 - 57/5*w**4 = 0. What is w?
-5, 1/4, 2, 3
Let q(s) be the first derivative of 3*s**4/4 + 28*s**3 - 1617*s**2/2 + 6174*s + 3752. Factor q(b).
3*(b - 7)**2*(b + 42)
Suppose 0 = -2*b - 111 + 143. Solve 3167 - 3167 - 8*i**2 - 4*i**5 - b*i**4 - 20*i**3 = 0 for i.
-2, -1, 0
Let x be (1 - 0) + (-11 - -14). Suppose 0 = -x*h + 60 + 52. What is i in 8*i + 4*i**5 + 5*i**2 - h*i**2 - 22*i**4 + 4*i**2 + 42*i**3 - 13*i**2 = 0?
0, 1/2, 1, 2
Let t(m) be the second derivative of -1/30*m**6 + 9*m**2 - 2*m - 1/12*m**4 - 10 - 1/4*m**5 + 7/2*m**3. What is d in t(d) = 0?
-3, -1, 2
Let d(n) be the second derivative of n**6/20 + 381*n**5/40 - 265*n**4/8 - 907*n**3/4 - 387*n**2 - 2*n + 3921. Suppose d(r) = 0. What is r?
-129, -1, 4
Let o(b) be the third derivative of b**7/945 + b**6/135 - 97*b**5/270 - b**4/27 + 32*b**3/9 + 2*b**2 + 250. Suppose o(g) = 0. What is g?
-12, -1, 1, 8
Let q(h) be the first derivative of h**6/30 + 2*h**5/15 - 7*h**4/6 + 8*h**3/3 + 58*h**2 - 135. Let r(n) be the second derivative of q(n). Solve r(u) = 0.
-4, 1
Let d(w) = -2*w**4 + 4*w**3 - w**2 - w + 2. Let a(i) = 26*i**4 + 6*i**3 + 262*i**2 - 1938*i - 4524. Let q(k) = -a(k) - 12*d(k). Suppose q(n) = 0. Calculate n.
-15, -2, 5
Let v be (1 - 2)*5/(-1). Let q be 3/v - (-77)/55. Factor -3*z**2 + 7*z**q - 5 + 5.
4*z**2
Let r = 18 - 9. Suppose 2*q + 5*n - 15 = 0, -16*n + 11*n = -5*q + 20. Let -r + 21*u + 13*u**4 - 2*u**4 - 21*u**3 - q*u**4 + 3*u**2 = 0. What is u?
-1, 1/2, 1, 3
Let m be (-98)/(-49) - (850/70 - 13). What is w in -8/7 - 14*w**4 - 146/7*w**2 + 176/7*w**3 + m*w**5 + 8*w = 0?
2/5, 1/2, 1, 2
Suppose 3*o + 6 + 30 = 3*c, -4*c = -12. Let f be 0/2 + o/99*0. Factor f*b + 1/5*b**2 - 1/5.
(b - 1)*(b + 1)/5
Let x(t) be the second derivative of -t**7/840 + 7*t**6/120 - 33*t**5/40 + 5*t**4/2 - 36*t. Let b(m) be the third derivative of x(m). Factor b(w).
-3*(w - 11)*(w - 3)
Let m(x) be the first derivative of 49 + 10/9*x**3 - 2/3*x**4 + 0*x + 0*x**2. Solve m(y) = 0 for y.
0, 5/4
Let n(a) be the first derivative of -11/20*a**4 - 41/10*a**2 - 47 - 13/5*a**3 - 14/5*a + 1/25*a**5. Let n(j) = 0. What is j?
-1, 14
Suppose -1/4*n**3 - 9/2*n**2 + 121 - 33/4*n = 0. Calculate n.
-11, 4
Let i(z) = -125*z**4 - 385*z**3 + 550*z**2 - 45*z - 90. Let h(f) = 11*f**4 + 35*f**3 - 50*f**2 + 4*f + 8. Let w(p) = -45*h(p) - 4*i(p). Factor w(b).
5*b**2*(b - 5)*(b - 2)
Let j(x) = x**3 - 14*x**2 - 25*x + 150. Let t be j(15). Factor t - 1/2*l**2 - 23*l.
-l*(l + 46)/2
Let u = -15 + 19. Suppose 0 = f - u*f + 6. Let -2 - o**f + 5 + 6 + 4*o**2 - 12*o = 0. What is o?
1, 3
Let g = -202 - -317. Suppose 0 = -34*j - 13 + g. Factor 68/3*q**2 + 107*q**j + 272/3*q**4 + 4/3*q + 0 + 64/3*q**5.
q*(q + 2)**2*(8*q + 1)**2/3
Let -6978*j + 0 + 0 + 5*j**4 - 5*j**2 + 0 - 15*j**3 + 6993*j = 0. Calculate j.
-1, 0, 1, 3
Let y(g) be the first derivative of g**7/28 + 7*g**6/10 + 15*g**5/8 + 3*g**4/2 - 54*g - 246. Let c(o) be the first derivative of y(o). What is j in c(j) = 0?
-12, -1, 0
Let q be (23/9)/((-4)/(-2924)). Let w = q - 1868. What is i in -w*i**4 + 4/3*i - 4/9 + 2/3*i**3 - 13/9*i**2 = 0?
1, 2
Let m(w) be the third derivative of -2*w**3 - 18/35*w**7 + 0*w - 11/2*w**4 + 0 - 97/20*w**5 - 93*w**2 + 33/10*w**6. Factor m(t).
-3*(t - 2)**2*(6*t + 1)**2
Let r(k) be the first derivative of -4*k**5/5 - 80*k**4 - 956*k**3 - 2396*k**2 - 2240*k - 8044. Factor r(t).
-4*(t + 1)**2*(t + 8)*(t + 70)
Suppose -5*y = -14*y + 9. Suppose 2*l + y = l, 2*l = 3*b - 8. What is h in 16/3*h + 4/3*h**3 + 16/3*h**b + 0 = 0?
-2, 0
Suppose -2*f + 10 = -3*y, -87*y = -89*y - 2*f + 20. What is c in 1/3*c**2 - y*c + 5/3 = 0?
1, 5
Let q(y) = -y**3 + 131*y**2 - 115*y - 1946. Let g be q(130). Let l(v) be the second derivative of 0*v**2 + 0 + 1/8*v**g - 6*v + 3/4*v**3. Factor l(p).
3*p*(p + 3)/2
Let g(j) = 28*j**4 - 1420*j**3 + 1028*j**2 + 468*j + 16. Let n(y) = 9*y**4 - 473*y**3 + 347*y**2 + 156*y + 6. Let o(p) = 3*g(p) - 8*n(p). Factor o(b).
4*b*(b - 39)*(b - 1)*(3*b + 1)
Let s be 6/48*-8 - 1*-26. Suppose -3*h - 5*y = -h - s, 2*y = 2*h + 10. Factor -2/5*w**2 + h - 4/5*w.
-2*w*(w + 2)/5
Let c = 596517/477220 + 2/119305. Factor c*l - 3/2 - 1/4*l**2.
-(l - 3)*(l - 2)/4
Let l(u) = 12*u**4 + 136*u**3 + 328*u**2 + 360*u + 108. Let j(z) = -11*z**4 - 135*z**3 - 332*z**2 - 359*z - 109. Let n(v) = -8*j(v) - 7*l(v). Factor n(t).
4*(t + 1)**3*(t + 29)
Factor 201/5*n + 138/5 + 12*n**2 - 3/5*n**3.
-3*(n - 23)*(n + 1)*(n + 2)/5
Let r = -440 - -1242. Let s = 5616/7 - r. Solve -s*k**5 - 18/7*k + 32/7*k**2 + 12/7*k**4 + 4/7 - 4*k**3 = 0 for k.
1, 2
Let q(b) = b**3 + 39*b**2 - 688*b + 663. Let o(x) = x**3 + 40*x**2 - 693*x + 662. Let y(m) = 3*o(m) - 2*q(m). Factor y(s).
(s - 12)*(s - 1)*(s + 55)
Determine d so that 162/11*d**2 + 2/11*d**3 + 510/11 - 674/11*d = 0.
-85, 1, 3
Let y(f) be the first derivative of -2*f**3/3 + 63*f**2 - 407. Factor y(w).
-2*w*(w - 63)
Factor 39/8*j**4 - 24 - 57/8*j**3 - 3/8*j**5 - 66*j - 435/8*j**2.
-3*(j - 8)**2*(j + 1)**3/8
Factor -624 - 3*c**3 - c**3 - 4*c - 25*c**2 + 91*c**2 - 10*c**2.
-4*(c - 13)*(c - 4)*(c + 3)
Let m(r) be the third derivative of -3/32*r**4 - 7/24*r**3 + 1/96*r**6 + 2 + 1/80*r**5 - 12*r**2 + 0*r. Factor m(w).
(w + 1)**2*(5*w - 7)/4
Let r(a) = 9*a**2 - 3*a + 5. Let u(q) = q**2 - 25*q + 157. Let v be u(12). Let i(l) = -2*l + 1 + 3*l**2 - 2*l**2 + 3*l. Let t(p) = v*r(p) - 5*i(p). Factor t(h).
4*h*(h - 2)
Let a(s) be the third derivative of 1/14*s**5 + 1/420*s**6 + 