2 + 260*w**3/21 - 2*w**2 - 2015*w. Factor i(m).
4*(m + 1)**3*(m + 130)/7
Let r(x) be the second derivative of x**6/90 + 11*x**5/30 - 2*x**4 + 37*x**3/6 - 128*x. Let p(q) be the second derivative of r(q). Factor p(k).
4*(k - 1)*(k + 12)
Let o(c) be the second derivative of c**4/6 + 446*c**3/3 - 5*c - 111. Suppose o(t) = 0. What is t?
-446, 0
Factor -y**4 + 198650*y**3 + 75*y**2 - 2*y**4 - 150*y - 198644*y**3.
-3*y*(y - 5)*(y - 2)*(y + 5)
Let l = 25 + -21. Solve 2*k**5 - l*k**2 + 12*k**2 - 2*k**4 + 6*k + 10*k**4 - 4*k + 12*k**3 = 0 for k.
-1, 0
Find f such that -172/3*f - 160 - 1/3*f**3 + 32/3*f**2 = 0.
-2, 10, 24
Let s(b) = -6*b**3 + 2169*b**2 - 391011*b. Let f(r) = 17*r**3 - 6506*r**2 + 1173017*r. Let o(k) = -3*f(k) - 8*s(k). Factor o(m).
-3*m*(m - 361)**2
Let s = 57/103 + -5597/10300. Let r(j) be the third derivative of 0*j - 3/10*j**4 + 0 - 8/15*j**3 + s*j**6 - 7/150*j**5 - 11*j**2. Factor r(k).
2*(k - 4)*(k + 1)*(3*k + 2)/5
Let b be ((-12)/50)/(((-9)/(-15))/(-3)). Let c = -1241 - -1243. Determine v so that -b*v**c + 2/5*v**3 + 6/5*v - 2/5 = 0.
1
Let r(h) be the first derivative of 18/7*h**3 + 23/14*h**4 + 4/7*h + 2/5*h**5 + 13/7*h**2 - 58. Find b, given that r(b) = 0.
-1, -2/7
Let i(x) be the second derivative of -x**7/735 - x**6/70 - 11*x**5/210 - x**4/14 + x**2 + 60*x. Let d(w) be the first derivative of i(w). Factor d(m).
-2*m*(m + 1)*(m + 2)*(m + 3)/7
Let d be ((-295)/1340 - (1152/1608)/24)*16/(-2). Factor -q + 6/5 - 1/5*q**d.
-(q - 1)*(q + 6)/5
Let k(z) be the first derivative of z**4/14 + 26*z**3/21 - 52*z**2/7 - 128*z/7 - 4750. Factor k(v).
2*(v - 4)*(v + 1)*(v + 16)/7
Let s(j) be the third derivative of -1/40*j**6 - 1/70*j**7 - 1 + 0*j**4 + 1/10*j**5 + 23*j**2 + 0*j**3 + 0*j. Factor s(c).
-3*c**2*(c - 1)*(c + 2)
Let y(u) be the first derivative of u**5/80 + u**4/16 - 23*u**2 + 15. Let n(k) be the second derivative of y(k). Find v such that n(v) = 0.
-2, 0
Solve -2*t**3 + 20*t**2 + 18*t - 45*t**2 + 21*t**2 + 12*t = 0 for t.
-5, 0, 3
Let x(h) be the third derivative of -3*h**5/100 + 13*h**4/40 - 6*h**3/5 - h**2 + 23*h. Find j such that x(j) = 0.
4/3, 3
Let a(f) = -3*f**2 + 149*f + 660. Let u(z) = 2*z**2 - 151*z - 660. Let t(x) = 3*a(x) + 2*u(x). Solve t(n) = 0 for n.
-4, 33
Let j be 29/105 + 0 + 28/(-196). Let i(c) be the first derivative of -3 + 0*c**2 - 1/6*c**4 + 0*c + 2/27*c**3 - 1/27*c**6 + j*c**5. Factor i(a).
-2*a**2*(a - 1)**3/9
Factor -295*x - 3*x**2 + 359*x - 438*x - 427*x.
-3*x*(x + 267)
Let k(x) be the first derivative of x**4/12 + 20*x**3/3 + 200*x**2 + 194*x + 104. Let a(f) be the first derivative of k(f). What is y in a(y) = 0?
-20
Let z(j) be the third derivative of -j**7/1680 + j**6/80 - 9*j**5/80 + 119*j**4/24 + j**2 + 8*j. Let k(t) be the second derivative of z(t). Factor k(u).
-3*(u - 3)**2/2
Let p(d) be the third derivative of -d**6/1080 - d**5/40 + 5*d**4/36 + 107*d**3/6 - 31*d**2. Let v(i) be the first derivative of p(i). Factor v(z).
-(z - 1)*(z + 10)/3
Factor -3/2*k**2 - 465 + 933/2*k.
-3*(k - 310)*(k - 1)/2
Let z be 261/(-348) - (3/(-4) - 0). Let m(v) be the third derivative of z - 11/960*v**6 + 1/24*v**3 + 11/192*v**4 + 0*v - 1/240*v**5 - 15*v**2. Solve m(y) = 0.
-1, -2/11, 1
Let f(v) be the first derivative of -133/3*v**3 - 361/4*v**4 + 96*v**2 - 36*v + 19. Let f(z) = 0. Calculate z.
-1, 6/19
Determine l, given that -133/3*l**2 - 1/3*l**3 - 4216/3*l + 4624 = 0.
-68, 3
Let s = -4669 + 4674. Let z(r) be the second derivative of 0*r**2 + 7*r + 1/4*r**5 + 0 + s*r**3 - 25/12*r**4. Find u such that z(u) = 0.
0, 2, 3
Let n(k) be the second derivative of -7 + 104/5*k**2 + 17/15*k**4 + k + 112/15*k**3 + 1/25*k**5. Factor n(b).
4*(b + 2)**2*(b + 13)/5
Let h = 1 + 2. Factor 23*y**2 - 6*y + 3*y**h - 1579 + 1570 - 16*y**4 + 5*y**3.
-(y - 1)**2*(4*y + 3)**2
Let k(m) be the second derivative of -m**7/735 + m**5/210 - 33*m**2/2 + 7*m. Let w(x) be the first derivative of k(x). Suppose w(h) = 0. Calculate h.
-1, 0, 1
Let h(t) = -3*t**2 + 5*t**2 - t**2 - 2*t**2. Suppose -8*q - 3 = 5. Let s(k) = -4*k**2 - 4*k. Let f(c) = q*s(c) + 6*h(c). Determine n so that f(n) = 0.
0, 2
Suppose 0 = -c - 4*p - 16, 3*c = -0*p - 5*p - 13. Solve -243*b**2 + 5 + 59 - 160*b + 20*b**3 - 20*b**4 + 343*b**2 - c*b**5 = 0.
-4, 1
Let h(c) be the third derivative of 3*c**8/896 + 23*c**7/560 + c**6/32 - 3*c**5/16 - 13*c**4/64 + 7*c**3/16 - 32*c**2 - c. Determine j, given that h(j) = 0.
-7, -1, 1/3, 1
Let o = -3757 - -3757. Let v(f) be the first derivative of 1/2*f**4 + f + 13 - 1/5*f**5 + o*f**3 - f**2. Factor v(w).
-(w - 1)**3*(w + 1)
Let k be ((-2)/25)/(568/(-25560)). Let -3/5*h**2 + 3*h - k = 0. What is h?
2, 3
Let q(o) be the second derivative of 2/7*o**3 - 8/7*o**2 - 2 + 1/21*o**4 + 7*o. Factor q(h).
4*(h - 1)*(h + 4)/7
Let s(v) be the first derivative of 2*v**5/5 + 39*v**4/2 - 226*v**3 - 791*v**2 - 828*v - 14169. Factor s(z).
2*(z - 9)*(z + 1)**2*(z + 46)
Let p = 3242/299 + 1974989/598. Suppose 3/2*u**2 - 141*u + p = 0. Calculate u.
47
Let x(m) = -8*m**2 + 29*m - 21. Let q(j) = 4*j**2 - 14*j + 10. Let h = 9 + -15. Let s(z) = h*x(z) - 11*q(z). Solve s(f) = 0 for f.
1, 4
Let o(r) = -3*r - 5*r**2 + 13*r**2 + 0*r + 25 - 15*r. Let b(y) = 15*y**2 - 36*y + 48. Let q(n) = -5*b(n) + 9*o(n). Factor q(j).
-3*(j - 5)*(j - 1)
Let a be ((-2)/(-10))/(2*4/(-7016)). Let k = -169 - a. Let -4/5*i**5 + 28/5*i + k*i**2 + 8/5*i**3 - 8/5*i**4 + 8/5 = 0. Calculate i.
-1, 2
Let o(i) = 9*i**5 - 20*i**4 + 14*i**3 + 24*i**2 - 13*i. Let c(a) = 12*a**5 - 21*a**4 + 15*a**3 + 27*a**2 - 12*a. Let w(r) = -2*c(r) + 3*o(r). Factor w(j).
3*j*(j - 5)*(j - 1)**2*(j + 1)
Let w be (314/520 - 4/26)/(126/105). Let z(k) be the first derivative of w*k**2 - 1/4*k**3 - 6 + 3/2*k. Let z(n) = 0. Calculate n.
-1, 2
Let c(n) = -n**3 - 12*n**2 + 3*n + 29. Let x be c(-12). Let t be 10/2 - (-35)/x. Determine q so that -3/5*q + 1/5*q**3 + t*q**2 + 2/5 = 0.
-2, 1
Let l be -7*(6/42)/((-3)/15). Factor -18*q**2 + 22*q**3 + 16 - 70 - l*q**3 - 75*q - 14*q**3.
3*(q - 9)*(q + 1)*(q + 2)
Let x(c) = -c**2 - c + 13. Let o be x(3). Let z(t) = 2*t**2 + 1. Let j(p) = -7*p**2 - 17*p - 4. Let g(r) = o*j(r) + 4*z(r). What is w in g(w) = 0?
0, 17
Let u(y) be the first derivative of -11/2*y**3 + 69/8*y**2 - 3/4*y + 179. Factor u(q).
-3*(q - 1)*(22*q - 1)/4
Determine i so that 62201*i**5 - 8*i**4 + 56*i**3 + 148*i + 236*i - 62203*i**5 + 320*i**2 = 0.
-4, -2, 0, 6
Let v(y) be the first derivative of -y**7/30 + 4*y**6/9 + 2*y**5/5 - 295*y**3/3 - 123. Let z(c) be the third derivative of v(c). Factor z(a).
-4*a*(a - 6)*(7*a + 2)
Let c = 14528707/540 + -26905. Let s(h) be the third derivative of -1/135*h**5 + 0 + h**2 + 0*h**4 + 0*h - 1/315*h**7 + 0*h**3 - c*h**6. Factor s(l).
-2*l**2*(l + 2)*(3*l + 1)/9
Suppose k + 5*y - 552 = 0, -2*y - 2760 = -5*k + 3*y. Find p, given that -150*p - 5*p**2 - k + 280*p - 293 = 0.
13
Let a(s) be the second derivative of 9 + 0*s**2 + s + 1/48*s**4 + 0*s**3. What is k in a(k) = 0?
0
Let y(u) be the first derivative of -1/15*u**3 + 0*u - 1/5*u**2 - 18. Factor y(d).
-d*(d + 2)/5
Let f(p) = -125*p**2 - 244*p + 133. Let z(w) = -28*w**2 - 61*w + 33. Let o(g) = 2*f(g) - 9*z(g). Let o(m) = 0. What is m?
-31, 1/2
Let u be 2808/(-585)*180/(-176). Let -2/11*f**4 - u*f**2 - 2*f**3 - 50/11*f - 16/11 = 0. Calculate f.
-8, -1
Let m(i) = -3*i**4 - 7*i**3 - 9*i**2 + 5*i. Let n(r) = 13*r + 125. Let t be n(-10). Let f(j) = j**3 + j. Let c(k) = t*f(k) + m(k). Factor c(u).
-3*u**2*(u + 1)*(u + 3)
Suppose -1226/7*a + 2/7*a**3 - 614/7 - 610/7*a**2 = 0. What is a?
-1, 307
Let q(a) be the third derivative of a**7/315 + a**6/45 + a**5/18 + a**4/18 + 11*a**2 + 85. Determine k so that q(k) = 0.
-2, -1, 0
Let h be (-1 + 3)*21/(-39 - -60). Find a such that 1/2*a**h + 0 - 11/2*a = 0.
0, 11
Let y(u) be the second derivative of 53*u - 8/5*u**2 + 2/5*u**3 + 0 - 1/30*u**4. Determine f so that y(f) = 0.
2, 4
Let z be (3741/(-18))/(-29) + (-175)/25. Let z*d**3 + 2/3*d**2 + 0 - 5/6*d = 0. Calculate d.
-5, 0, 1
Let q(d) be the first derivative of 142 + 1/5*d**3 + 38/5*d - 23/2*d**2. What is n in q(n) = 0?
1/3, 38
Determine g so that 5/7*g**5 + 177/7*g**3 - 310/7*g**2 - 48/7*g**4 + 36*g - 72/7 = 0.
3/5, 2, 3
Let s(v) = -2*v**3 - 13*v**2 - 12*v + 27. Let i(d) = d**3 + 5*d**2 + 7*d - 13. Let o(b) = -18*i(b) - 8*s(b). Solve o(n) = 0 