= h**3 + 9*h**2 + 4*h - 20. Let c be w(-8). Suppose -c*z = -14*z + 3546. Factor 3*a - 3*a**5 - 3*a**3 + z*a**4 - 1779*a**4 - 3*a.
-3*a**3*(a + 1)**2
Let d(i) be the second derivative of -3*i - 1/9*i**3 - 1/180*i**6 - 16 + 0*i**2 - 1/24*i**5 - 1/9*i**4. Factor d(l).
-l*(l + 1)*(l + 2)**2/6
Let k(n) be the third derivative of 1/30*n**6 - 2/525*n**7 - 1/75*n**5 - n - 7/10*n**4 + 0 + 12/5*n**3 - 38*n**2. What is s in k(s) = 0?
-2, 1, 3
Let a(i) be the third derivative of 0*i + 3/20*i**5 + 9/8*i**4 + 1/120*i**6 - 31*i**2 - 1 + 9/2*i**3. Factor a(j).
(j + 3)**3
Let a(h) be the third derivative of -5*h**5/12 + 35*h**4/6 + 10*h**3 + 869*h**2. Factor a(k).
-5*(k - 6)*(5*k + 2)
Let k(v) be the second derivative of v**4/90 - 2*v**3/5 - 8*v**2/3 + 1198*v. Factor k(x).
2*(x - 20)*(x + 2)/15
Let i(p) = -22*p**2 + 592*p + 174. Let o(z) = -z**2 - 2*z - 1. Let l = 584 + -590. Let r(h) = l*o(h) - i(h). Factor r(m).
4*(m - 21)*(7*m + 2)
Let n(q) = q**3 - q - 1. Let u(h) = 221 + 14*h**4 - 51*h + 32*h**3 + 12*h**2 + 37*h**3 - 232 - 28*h**3. Let f(x) = 5*n(x) + u(x). Factor f(t).
2*(t - 1)*(t + 2)**2*(7*t + 2)
Let c(m) be the third derivative of -m**6/600 - 2*m**5/75 + 11*m**4/30 - 8*m**3/5 + 110*m**2. Solve c(b) = 0 for b.
-12, 2
Let f be 1/(134/68 + -2). Let k = 37 + f. Suppose -15*t - 2*t**2 - 2*t**2 - t**3 + 4 + 14*t + 2*t**k = 0. Calculate t.
-1, 1, 4
Let a = 601 + -595. Let b be (a/8)/(2/16*2). Factor 2/11*t - 2/11*t**b - 4/11*t**2 + 4/11.
-2*(t - 1)*(t + 1)*(t + 2)/11
Let a(j) = 7*j**3 - 3*j + 1. Let h(b) = 9*b**3 + 2*b**2 - 4*b. Let m(k) = 3*a(k) - 2*h(k). Let s be m(1). Let -3/2*t + 1/2*t**2 + s = 0. Calculate t.
1, 2
Suppose 5*q - 18 = 4*y + 3, -29 = -5*q - 4*y. Suppose 6*g = 24, 0 = 5*a - q*g + 8 - 3. Suppose -3/7*d**a - 3/7*d + 0 + 6/7*d**2 = 0. Calculate d.
0, 1
Let j(i) = 11*i**3 - 9*i**2 + 42*i - 38. Let t(v) = -31*v**3 + 26*v**2 - 125*v + 113. Let h(q) = 17*j(q) + 6*t(q). Factor h(p).
(p - 4)*(p - 1)*(p + 8)
Let n be 4*(8 + 7) + 3. Suppose -60*s**4 - 2 + 50*s**4 - 30 - s**5 - 17*s**2 - 40*s**3 - n*s**2 - 80*s = 0. Calculate s.
-2
Let s(j) be the third derivative of -j**7/210 - j**6/72 + 43*j**4/12 + 22*j**2. Let l(q) be the second derivative of s(q). Find p, given that l(p) = 0.
-5/6, 0
Let v(h) be the first derivative of 76 - 2*h**6 + 0*h**2 + 0*h + 5*h**3 + 15*h**5 - 39/2*h**4. Find l such that v(l) = 0.
0, 1/4, 1, 5
Let d(w) be the first derivative of -w**6/480 - w**5/120 - w**4/96 + 67*w**2/2 - 44. Let g(b) be the second derivative of d(b). Factor g(v).
-v*(v + 1)**2/4
Suppose -15 = -3*u - 3. Suppose k + u = 2*q, -11 = 3*q + 5*k - 17. Factor 12/5*n**3 + 0 + 8/5*n**4 + 2/5*n**5 + 2/5*n + 8/5*n**q.
2*n*(n + 1)**4/5
Suppose 0 = -d - 2*a + 9, 6*d + 27 = 9*d + 4*a. Suppose 2*o + t - d = 0, 3*t = -3*o + 4*o - 1. Factor 16/5 + 8/5*m**3 + 2/5*m**o - 6/5*m**2 - 4*m.
2*(m - 1)**2*(m + 2)*(m + 4)/5
Suppose 2*o + 2 = 2*k, o + o = 3*k - 7. Let x = 2203 - 2172. Find q such that 6*q**2 + x - 34 + q**4 - 4*q**o = 0.
-1, 1
Suppose 0 = -9*a - 0*a + 45. Solve 190*z**3 + 96*z - 194*z**3 - a*z**2 - 3*z**2 = 0.
-6, 0, 4
Find h such that 224/11*h + 2/11*h**4 + 8 + 52/11*h**3 + 186/11*h**2 = 0.
-22, -2, -1
Let c(b) = 49 - 20 - 21 + 4*b - 3*b**2. Let g(w) = -4*w**2 + 4*w + 9. Let p(k) = -5*c(k) + 4*g(k). Factor p(s).
-(s + 2)**2
Factor 18*i**4 + 2*i**5 - 73360*i + 62*i**2 - 26*i**2 + 39*i**3 + 73372*i + i**5.
3*i*(i + 1)**2*(i + 2)**2
Let a(i) = -13*i**2 + 86*i + 545. Let u(s) = 8*s**2 - 45*s - 273. Let v(f) = 3*a(f) + 5*u(f). Determine z, given that v(z) = 0.
-18, -15
Let l(b) be the third derivative of -b**7/70 + b**6/20 + 61*b**5/20 + 89*b**4/4 + 60*b**3 - 8*b**2 + 20*b + 2. Solve l(c) = 0.
-4, -3, -1, 10
Let c(v) = -213*v**2 + 1305*v - 2550. Let q(n) = 290*n**2 - 1740*n + 3400. Let i(l) = 15*c(l) + 11*q(l). Find x such that i(x) = 0.
2, 85
Let v = 80737 - 726625/9. What is u in -v*u**2 + 0 + 8/9*u - 2/9*u**5 + 8/9*u**4 - 2/3*u**3 = 0?
-1, 0, 1, 2
Let v(o) = 2*o**2 + 2*o - 3. Suppose 3*k = k + 4*d, 4*k - 2*d = 6. Let q(u) = -4*u**k + 2*u + 4*u**2 + u**2 - 3*u + 1. Let l(r) = 3*q(r) - 3*v(r). Factor l(a).
-3*(a - 1)*(a + 4)
Suppose -40 + 12 = -4*b - 4*y, -3*b + y = -5. Suppose b*h = -5*s + 20, 4*s - h = -2*h + 16. Factor 4/11*n**2 + 0*n + 6/11*n**3 + 0 + 2/11*n**s.
2*n**2*(n + 1)*(n + 2)/11
Let g(v) be the first derivative of -5/4*v**4 + 40/3*v**3 + 51 + 30*v - 65/2*v**2. Let g(l) = 0. What is l?
1, 6
Let o be (5 + 0 - 1350/(-2640)*-8)*22. Factor -o*t + 12 + 28/3*t**2 - 4/3*t**3.
-4*(t - 3)**2*(t - 1)/3
Suppose 344/21 - 26/7*h - 2/21*h**2 = 0. Calculate h.
-43, 4
Factor -2/5*c**3 - 16 + 6/5*c**2 + 36/5*c.
-2*(c - 5)*(c - 2)*(c + 4)/5
Let u = 3190 - 3190. Let f(z) be the first derivative of u*z - 16/3*z**3 + 2/3*z**6 + 17 - 16/5*z**5 + 2*z**2 + 6*z**4. Factor f(i).
4*i*(i - 1)**4
Let t(l) = -138915*l**4 + 11907*l**3 + 4164*l**2 - 630*l + 30. Let q(s) = -12*s**2 + 13*s**2 + 57 + s - 56. Let b(w) = 6*q(w) - t(w). Factor b(o).
3*(5*o + 1)*(21*o - 2)**3
Factor 7920*j - 621*j**2 - 22369*j**2 - 360 - 124 - 9259*j**2 - 151*j**2.
-4*(90*j - 11)**2
Factor 116*s**5 - 227*s**5 - s**2 - 18*s**4 + 70*s**3 + 116*s**5 - 17*s**4 - 39*s**2.
5*s**2*(s - 4)*(s - 2)*(s - 1)
Let h = -29976 + 29978. Factor -14/5*u**4 + 30*u**3 + 0*u + 0 + 44/5*u**h.
-2*u**2*(u - 11)*(7*u + 2)/5
Let m = 95 - 101. Let n(v) = v**3 + 3*v**2 - 11*v - 7. Let w(c) = c**3 + 4*c**2 - 11*c - 6. Let l(o) = m*n(o) + 7*w(o). Factor l(x).
x*(x - 1)*(x + 11)
Let c(f) be the second derivative of f**5/5 - 8*f**4/3 - 6*f**3 + 15*f + 21. Find g, given that c(g) = 0.
-1, 0, 9
Let f(d) = 2*d**3 + 122*d**2 + 44*d + 2686. Let c be f(-61). Factor 2/3*r**3 + 2*r**c + 2/3 + 2*r.
2*(r + 1)**3/3
Let v(u) be the second derivative of -u**8/672 - u**7/420 + u**6/30 + u**5/10 - 54*u**2 + 16*u - 5. Let c(i) be the first derivative of v(i). Factor c(t).
-t**2*(t - 3)*(t + 2)**2/2
Let u(k) = -10*k**2 - 36647 + 7*k**2 - 10*k**2 - 1472*k - 3050 - 28010. Let b(r) = -7*r**2 - 736*r - 33853. Let c(h) = 5*b(h) - 3*u(h). What is x in c(x) = 0?
-92
Let b = 752266 + -5265859/7. Let b*s**3 + 0 + 18/7*s + 3*s**2 = 0. Calculate s.
-6, -1, 0
Let f(q) be the third derivative of q**6/780 - 13*q**4/12 + 1732*q**2. Factor f(d).
2*d*(d - 13)*(d + 13)/13
Factor -11*b + 46*b**2 - 132*b + 0*b**3 + 96*b**2 + 3*b**3 - 2*b**3.
b*(b - 1)*(b + 143)
Let z = 3/1898 - -101/28470. Let r(y) be the second derivative of 0*y**4 - 1/65*y**5 + 0 + z*y**6 - 7*y - 1/13*y**2 + 2/39*y**3. Factor r(x).
2*(x - 1)**3*(x + 1)/13
Let h(a) be the second derivative of a**4/4 + 1735*a**3/2 + 2*a - 47. Solve h(s) = 0.
-1735, 0
Let w(h) be the third derivative of h**5/15 - 191*h**4/6 + 380*h**3/3 + 203*h**2 + h + 1. Factor w(g).
4*(g - 190)*(g - 1)
Let v = 15578/59 + -60247/236. Factor -s**3 + 53/2*s + v - 137/4*s**2.
-(s - 1)*(s + 35)*(4*s + 1)/4
Suppose 7*l - 245 = -118 - 92. Let f(v) be the third derivative of 36*v**2 + 0*v + 1/30*v**6 + 2/15*v**l - v**3 - 1/6*v**4 - 1/105*v**7 + 0. Factor f(j).
-2*(j - 3)*(j - 1)*(j + 1)**2
Let v be (-876)/(-48) - (-150)/(-10). Let 3/2*n**2 - 5*n + v*n**3 - 5/4*n**4 - 2 = 0. Calculate n.
-1, -2/5, 2
Let u = 160 + -120. What is j in 44*j**3 - 83*j**3 + u*j**3 = 0?
0
Suppose 27 - 30 = -r. Suppose -5*s + 4 = -r*s. Factor 2*w + w**3 - 2*w**2 - 8*w + s*w**2 - w**2.
w*(w - 3)*(w + 2)
Let l(a) = -a**2 + a + 5. Let i be l(2). Suppose -3 + 25*w**2 - 6*w**3 + 5 + 45*w**i + 43*w + 55*w**2 = 0. What is w?
-1, -2/39
Let i(r) = 4*r**2 + 57*r + 16. Let k be i(-14). Find a such that -1 + 161*a**k + 1 - 7*a - 162*a**2 = 0.
-7, 0
Let k(b) = -63*b**2 - 1456*b - 161. Let d be k(-23). Factor d*h - 1/4*h**5 - 3/4*h**3 + 3/4*h**4 + 0 + 1/4*h**2.
-h**2*(h - 1)**3/4
Factor -260*w**2 - 107 - 432 - 84 - 729 + 1350*w + 262*w**2.
2*(w - 1)*(w + 676)
Let r(i) = -i**2 - 2. Let k(p) be the third derivative of p**5/30 - 2*p**4 + 61*p**3/6 - 79*p**2 - p. Let j(s) = k(s) + 5*r(s). Factor j(n).
-3*(n - 1)*(n + 17)
Let f(u) be the second derivative of -144*u + 0 + 8*u**3 - 576*u**2 - 1/24*u**4. Solve f(s) = 0.
48
Let t(y) be the second derivative of -1/25*y**5 + 7/15*y**4 - 153*y + 1/5*y**3 - 1/105*y**7 - 9/5*y**2 - 1/15*y**6 + 1. Solve t(p) = 0 for p.
-3, -1, 1
Let l(k) = 3*k**4 + 5*k**3 + 26*k**2 + 4. Let c(y) = -8*y**4 - 16*y**3 - 77*y**2 - 11. Let o(z) = -4*c(z) - 11*l(z). Determi