 Factor m(d).
3*(d - 1)**2*(d + 1)*(3*d + 2)
Let f(l) = -l**2 + 8*l - 2. Let c be f(6). Let o be 2/5 - (-1245)/75. Factor -9*q + o*q - c*q + 10*q**2 - 14*q - 8.
2*(q - 2)*(5*q + 2)
Suppose -34/5*p**3 + 64/5*p**2 + 0 + 8*p - 64/5*p**4 - 6/5*p**5 = 0. Calculate p.
-10, -1, -2/3, 0, 1
Let p(f) be the third derivative of -1/720*f**6 - 1/360*f**5 + 0*f**3 + 1/72*f**4 + 0 + 0*f + 5*f**2. Solve p(s) = 0 for s.
-2, 0, 1
Factor -1356/5*c - 153228/5 - 3/5*c**2.
-3*(c + 226)**2/5
Let h(j) = j**3 - 5*j**2 - 98*j - 76. Let s be h(13). Factor 3/7*v**s + 18/7*v + 24/7.
3*(v + 2)*(v + 4)/7
Let d(v) = v**2 + 3*v + 2. Let z be d(-3). Find c, given that 2*c + 59*c**2 - 7*c - 3 - 57*c**z = 0.
-1/2, 3
Suppose -22 = -5*q - 7. Factor 0*t + 5*t**3 - q*t**3 - 7*t**2 + 11*t**2 - 6*t.
2*t*(t - 1)*(t + 3)
Let n = 205 - 205. Let u(h) be the third derivative of 2*h**2 - 1/20*h**6 - 3/112*h**8 + 1/14*h**7 + 0*h**5 + 0*h**3 + n + 0*h + 0*h**4. Factor u(k).
-3*k**3*(k - 1)*(3*k - 2)
Let w(v) be the first derivative of -3/5*v**2 + 1/10*v**4 + 7*v - 7 - 3/100*v**5 + 1/10*v**3. Let g(u) be the first derivative of w(u). Factor g(y).
-3*(y - 2)*(y - 1)*(y + 1)/5
Let p(h) = -8 + h + 8. Let b(u) = -2*u**2 + 15*u - 50. Let l(x) = b(x) + 5*p(x). Solve l(s) = 0 for s.
5
Let h(i) be the second derivative of 3*i**5/20 - 9*i**4/4 + 15*i**3/2 - 21*i**2/2 - i - 124. Factor h(m).
3*(m - 7)*(m - 1)**2
Let y(n) be the third derivative of -n**6/480 + 17*n**5/240 + 3*n**4/16 - 53*n**2 - 4. Let y(t) = 0. What is t?
-1, 0, 18
Suppose 2*z - 3 = 7. Let d = -2/10577 + 6046/10577. Let -2/7*s**z + 2/7*s**2 - 2/7*s**4 - d*s + 6/7*s**3 + 0 = 0. What is s?
-2, -1, 0, 1
Let k(w) = -3*w**3 - 19*w**2 + 86*w + 40. Let t(u) = u**3 - u**2 + u + 2. Let c(x) = 3*k(x) - 6*t(x). Factor c(i).
-3*(i - 3)*(i + 6)*(5*i + 2)
Let 45/2 - 243/4*f**2 - 123/4*f - 15/2*f**3 = 0. What is f?
-15/2, -1, 2/5
Let t(f) be the first derivative of -36 + 3/8*f + 1/8*f**3 + 3/8*f**2. Factor t(v).
3*(v + 1)**2/8
Suppose -121/5*w**3 + 69/5*w**4 - 36/5*w**2 + 4/5*w + 0 = 0. Calculate w.
-1/3, 0, 2/23, 2
Suppose 24*d - 284 = 20*d. Let r = -69 + d. Factor 2*c**3 - 2*c + 3/2*c**r + 1/2*c**4 - 2.
(c - 1)*(c + 1)*(c + 2)**2/2
Suppose 21*j + 16*j - 74 = 0. Let o(y) be the second derivative of 2/21*y**3 + 1/70*y**5 + 0*y**j + 1/14*y**4 + 0 - 5*y. Factor o(k).
2*k*(k + 1)*(k + 2)/7
Let x(v) be the third derivative of -v**9/3780 + v**8/840 + v**7/630 - v**6/90 + 5*v**4/8 - 13*v**2. Let d(l) be the second derivative of x(l). Factor d(r).
-4*r*(r - 2)*(r - 1)*(r + 1)
Let c(j) = j**4 - j**3 + 2*j**2 - 2*j + 2. Let y(q) = -50*q**4 + 360*q**3 - 155*q**2 - 285*q + 80. Let o(u) = 25*c(u) + y(u). Determine i so that o(i) = 0.
-1, 2/5, 1, 13
Let r = 28 + -22. Let n be r/45*1 - (-28)/15. Determine j so that -2 - 5/2*j**n - 4*j - 1/2*j**3 = 0.
-2, -1
Let p(x) be the third derivative of x**5/510 - 31*x**4/204 - 32*x**3/51 + 52*x**2. Determine t so that p(t) = 0.
-1, 32
Let l(d) = -9*d**2 - 18*d + 29. Let t be l(1). Find x such that -5/2*x + 3 + 1/2*x**t = 0.
2, 3
Let u(s) be the third derivative of -s**7/840 + s**6/80 - s**5/20 - 3*s**4/8 + 5*s**2. Let o(v) be the second derivative of u(v). What is q in o(q) = 0?
1, 2
Let g(r) be the first derivative of 3*r**5/5 - 45*r**4/2 + 193*r**3 + 720*r**2 + 768*r - 294. What is u in g(u) = 0?
-1, 16
Let t(y) be the second derivative of -1/3*y**2 - 6*y + 1/36*y**4 + 1/18*y**3 + 0. What is i in t(i) = 0?
-2, 1
Let l(n) be the third derivative of -7/6*n**4 + 0 - 32*n**2 + 0*n + 20/3*n**3 + 1/15*n**5. Factor l(f).
4*(f - 5)*(f - 2)
Suppose -40 + 3 = -o - d, 5*o - 2*d = 150. Factor -59 + 33 + 2*i**3 + 2*i + o - 4*i**3 - 6*i**2.
-2*(i - 1)*(i + 1)*(i + 3)
Factor -218/3*u - 220/3 + 2/3*u**2.
2*(u - 110)*(u + 1)/3
Let y(x) = -x + 18. Let a be y(11). Let t be (-66)/(-21) + (-1)/a. Factor -6*d**3 + 9*d + 3*d - 3*d**4 - 6*d + t.
-3*(d - 1)*(d + 1)**3
Let m(a) = a**3 - 7*a**2 + 6*a. Let d be m(6). Factor 6*r**4 + d + 4*r**3 + 4 - 40*r**5 - 4.
-2*r**3*(4*r + 1)*(5*r - 2)
Let i(a) be the third derivative of 11*a**2 + 1/9*a**4 + 1/36*a**5 + 0 + 1/360*a**6 + 0*a + 2/9*a**3. Determine t, given that i(t) = 0.
-2, -1
Let d(i) = -i**3 - 19*i**2 - 3*i - 56. Let w be d(-19). Let b(n) be the first derivative of -3*n - w + 1/2*n**3 + 3/4*n**2. Determine x so that b(x) = 0.
-2, 1
Let z(r) be the second derivative of -r**6/900 + r**5/50 - 3*r**4/20 - 5*r**3/3 - 5*r. Let l(k) be the second derivative of z(k). Factor l(h).
-2*(h - 3)**2/5
Let o = -1253 - -1258. Let z(i) be the first derivative of 2*i**4 - 2/5*i**o - 9 - 2*i - 4*i**3 + 4*i**2. Factor z(r).
-2*(r - 1)**4
Factor 2*l - 2/9*l**2 + 20/9.
-2*(l - 10)*(l + 1)/9
What is a in 276/7*a - 4/7*a**2 + 0 = 0?
0, 69
Suppose 0 = -3*n - 4*j + 50 - 46, -2*n = -j - 10. What is i in -11/5*i**2 + i + 0 - 1/5*i**n + 7/5*i**3 = 0?
0, 1, 5
Let r(d) = -d**2 - 4*d + 3. Let i be r(-4). Suppose -6 + 6 = -i*h. Factor h + 2/3*u + 1/3*u**2.
u*(u + 2)/3
Suppose -45 = -148*w + 133*w. Find r, given that -6/5*r**w - 4/5*r**5 + 2*r**4 - 2/5*r**2 + 0 + 2/5*r = 0.
-1/2, 0, 1
Let p(y) be the third derivative of y**6/480 - y**5/60 + y**4/32 - y**2 + 22. Suppose p(h) = 0. Calculate h.
0, 1, 3
Let v(l) be the second derivative of l**7/42 + l**6/24 - l**5/2 - 5*l**4/6 + 20*l**3/3 + 12*l**2 - 28*l. Let k(b) be the first derivative of v(b). Factor k(d).
5*(d - 2)*(d - 1)*(d + 2)**2
Factor -2*x**2 - 15*x - 4171 + 7*x**2 + 5833 + 5558 - 365*x.
5*(x - 38)**2
Let m = -2577 + 2580. What is g in -5/4*g**2 + 1/2*g - 1/4*g**4 + 0 + g**m = 0?
0, 1, 2
Let p(n) be the second derivative of -n**7/294 - n**6/210 + n**5/70 - 85*n. Factor p(z).
-z**3*(z - 1)*(z + 2)/7
Suppose 0 = 3*m - 11 - 4. Suppose m*d - 47 = -7. Let 4*j + 2*j**2 + 4*j**2 - 12*j + d - 4*j**2 = 0. What is j?
2
Let g(c) be the second derivative of -c**7/189 + c**6/135 + c**5/90 - c**4/54 + 3*c - 25. Factor g(m).
-2*m**2*(m - 1)**2*(m + 1)/9
Let q(r) be the second derivative of 0*r**3 + 5*r + 5/6*r**2 + 0 - 5/36*r**4. Factor q(v).
-5*(v - 1)*(v + 1)/3
Suppose -3*o = z + 134 - 363, 2*o - 6 = 0. Let y = -216 + z. Determine w, given that 1/2 + 1/4*w**y + 1/4*w - 1/4*w**3 - 3/4*w**2 = 0.
-1, 1, 2
Let p be ((-3)/(-9))/(((-33)/54)/((-4)/12)). Factor -36/11*k**2 - p*k**4 - 14/11*k**3 - 16/11 - 40/11*k.
-2*(k + 1)*(k + 2)**3/11
Let 1/7*x**2 - 6/7*x - 27/7 = 0. What is x?
-3, 9
Let i = -57 + 110. Let d = i + -51. Factor 0*q**d - 1/5*q + 0 + 1/5*q**3.
q*(q - 1)*(q + 1)/5
Suppose -18*p + 108*p**2 - 31*p + 25 + 44*p**3 - 85 - 43*p = 0. Calculate p.
-3, -5/11, 1
Suppose -j + 70 = 4*j. Factor -25 + j*l - 17*l + 3*l**2 - 17*l + 2*l**2.
5*(l - 5)*(l + 1)
Let l(p) be the third derivative of 0*p**4 + 1/105*p**5 - 1/735*p**7 + 0*p**6 + 0*p - 1/21*p**3 + 0 - 7*p**2. What is f in l(f) = 0?
-1, 1
Factor 2/7*p**4 + 2400/7*p - 96/7*p**3 + 1250/7 + 1052/7*p**2.
2*(p - 25)**2*(p + 1)**2/7
Let j(h) be the second derivative of -h**5/70 - h**4/7 - 11*h**3/21 - 6*h**2/7 - 2*h - 22. Factor j(r).
-2*(r + 1)*(r + 2)*(r + 3)/7
Let b = 1732 + -1727. Let g(i) be the third derivative of 5*i**2 + 0*i - 1/20*i**6 + 0*i**7 + 1/8*i**4 + 1/112*i**8 + 0*i**b + 0*i**3 + 0. Factor g(x).
3*x*(x - 1)**2*(x + 1)**2
Factor 0*v + 10/13*v**3 + 0 - 2/13*v**4 - 8/13*v**2.
-2*v**2*(v - 4)*(v - 1)/13
Let u(v) be the third derivative of -v**9/15120 - v**8/5040 - 3*v**5/5 + 7*v**2. Let i(n) be the third derivative of u(n). Factor i(l).
-4*l**2*(l + 1)
Let r(w) be the third derivative of w**5/450 + w**4/90 - 8*w**3/45 - 121*w**2. Factor r(l).
2*(l - 2)*(l + 4)/15
Let b(f) = 39*f**3 - 114*f**2 + 75*f - 9. Let l(t) = -20*t**3 + 57*t**2 - 38*t + 5. Let k(d) = 4*b(d) + 9*l(d). Determine j, given that k(j) = 0.
3/8, 1
Suppose 5*b = l + 29, -4*l = -2*b + 3*b + 11. Let -25*x**4 + x**3 - b*x**5 - 46*x**3 - 10*x + 19*x**2 - 54*x**2 = 0. What is x?
-2, -1, 0
Let f = 584 + -582. Factor 3/4*i**f + i + 1/4.
(i + 1)*(3*i + 1)/4
Factor 0 + 2/15*p**4 + 0*p + 44/15*p**3 + 16/3*p**2.
2*p**2*(p + 2)*(p + 20)/15
Suppose 4*t + n - 16 = 24, 5*n = 20. Let h be 1/(-3)*(11 - t) + 3. Factor -25/6*z**2 - 1/3 - 13/6*z - h*z**3.
-(z + 1)*(2*z + 1)*(7*z + 2)/6
Let i be (-2)/7*-204 - (28 + 20)/(-8). Factor 8/7 + i*w**2 - 120/7*w.
2*(15*w - 2)**2/7
Let l = 2248/15 + -746/5. What is d in 4/3*d + l*d**2 + 0 = 0?
-2, 0
Let y(f) be the first derivative of f**5/1