et o(v) be the third derivative of 0 - 1/15*v**h - v**2 + 8/3*v**3 + 0*v + 0*v**4. Factor o(p).
-4*(p - 2)*(p + 2)
Suppose -3 = 5*b - 0*j + 3*j, -j = 5*b + 1. Suppose b*s + s = -0*s. Factor -12/5*k**2 + 6/5*k**4 + 3/5*k**5 + s + 12/5*k - 9/5*k**3.
3*k*(k - 1)**2*(k + 2)**2/5
Let w(q) be the first derivative of 2*q**5/15 + q**4/2 - 4*q**2/3 + 79. Factor w(y).
2*y*(y - 1)*(y + 2)**2/3
Let s be (19 + (-1 - 4))*22/(-8). Let l = -38 - s. Determine n, given that 1/2*n**3 + l*n**2 - 1/2 - 1/2*n = 0.
-1, 1
Find s, given that -28/3 - 2/3*s**2 + 6*s = 0.
2, 7
Let u(m) be the third derivative of m**5/12 + 25*m**4/12 - 55*m**3/6 + 148*m**2. Find s, given that u(s) = 0.
-11, 1
Let k(t) be the second derivative of -t**5/10 + 39*t**4/2 - 1521*t**3 + 59319*t**2 - 6*t. Factor k(r).
-2*(r - 39)**3
Suppose 0 = s + k - 29, -2*s + 3*k = -35 - 3. Suppose -2*o + 3*o + s + o**2 - 25 = 0. What is o?
-1, 0
Let d(x) be the second derivative of 0 + 1/360*x**6 - 5/3*x**3 + 4*x + 0*x**2 - 1/120*x**5 + 0*x**4. Let t(h) be the second derivative of d(h). Factor t(s).
s*(s - 1)
Let f(b) = -232*b**3 - b**2 + b + 1. Let c be f(-1). Let j = -226 + c. Find n such that 1/3*n**j + 0 + 2/3*n**3 - n**4 + 0*n + 0*n**2 = 0.
0, 1, 2
Let p = 125 + -125. Let n(z) be the second derivative of -1/12*z**4 + 0*z**3 + 1/20*z**5 + p*z**2 - z + 0. Determine m so that n(m) = 0.
0, 1
Let f(k) be the second derivative of k**6/240 + k**5/120 - k**4/24 + 17*k**2 + 8*k + 1. Let p(a) be the first derivative of f(a). Factor p(r).
r*(r - 1)*(r + 2)/2
Let w be (320/(-128)*15/25)/((-3)/4). Let -2/3*n**w - 4 + 10/3*n = 0. What is n?
2, 3
Let j(i) be the first derivative of -14*i**5 - 64/3*i**2 - 8*i - 8 - 98/27*i**3 + 49/27*i**6 + 181/6*i**4. Find g such that j(g) = 0.
-2/7, 1, 3
Let b = -43 + 524/13. Let t = b + 292/65. Find h, given that 12/5*h - 3/5*h**2 - t = 0.
1, 3
Let h = -6344/15 + 423. Let z(v) be the second derivative of 0 - 2*v - 1/50*v**5 + 1/15*v**4 - h*v**3 + 0*v**2. Suppose z(p) = 0. Calculate p.
0, 1
Factor 3 - 25*b**2 - 16*b**3 - 6*b**5 + 10*b + 2708*b**4 + 52*b**3 - 17*b**2 - 2709*b**4.
-(b - 1)**3*(b + 3)*(6*b + 1)
Let g(l) be the third derivative of 0 + 0*l - 1/2688*l**8 + 1/160*l**6 + 1/120*l**5 + 0*l**3 - 1/420*l**7 - 5/192*l**4 + 29*l**2. What is n in g(n) = 0?
-5, -1, 0, 1
Let g(v) be the third derivative of -v**9/423360 + v**8/47040 - v**6/1260 - 7*v**5/60 + 18*v**2. Let b(p) be the third derivative of g(p). Solve b(c) = 0.
-1, 2
Let o(m) be the first derivative of -10*m**5/17 + 45*m**4/34 + 62*m**3/51 - 33*m**2/17 - 36*m/17 - 45. Determine q, given that o(q) = 0.
-3/5, 1, 2
Let t(n) be the second derivative of -n**9/2808 - n**8/5460 - 11*n**3/6 + 36*n. Let d(g) be the second derivative of t(g). Factor d(s).
-2*s**4*(7*s + 2)/13
Suppose 7 = -y - 2*q, 0*q = 3*y - 2*q - 19. Suppose 5*l - y*d - 4 = -1, 7 = 5*l - 2*d. Solve 0 + 2/5*j**l + 2/5*j + 4/5*j**2 = 0 for j.
-1, 0
Let d(w) be the third derivative of -14*w**2 + 1/300*w**6 + 0 + 1/20*w**4 + 3/5*w**3 - 1/30*w**5 + 0*w. Solve d(c) = 0 for c.
-1, 3
Let a = -165 - -997/6. Let h(n) be the second derivative of 2*n**3 + 1/168*n**7 + 2/5*n**5 + 0 + 2*n**2 + 3/40*n**6 + a*n**4 - n. Suppose h(b) = 0. What is b?
-2, -1
Determine n, given that 204*n**2 + 114918 + 85833 + n**3 - 56658 + 13872*n + 170339 = 0.
-68
Let q(v) be the second derivative of -v**3/6 + v**2/2 - 3*v. Let o be q(-7). Find p, given that o*p**3 + 2*p**3 + p - p**3 + 6*p**2 = 0.
-1/3, 0
Suppose -y + 378 = 4*p + y, -3*y = p - 92. Let w = p + -95. Suppose w*c - 2/15*c**2 - 2/15*c**3 + 0 = 0. Calculate c.
-1, 0
Let x(v) be the first derivative of 2*v**2 + 0*v**3 - 1/24*v**4 - 1/60*v**5 + 6 + 0*v. Let d(q) be the second derivative of x(q). Let d(b) = 0. Calculate b.
-1, 0
Factor 588/5 + 3/5*m**2 - 84/5*m.
3*(m - 14)**2/5
Let y(d) be the third derivative of 2*d**7/105 - d**6/8 + 2*d**5/15 + d**4/8 + 455*d**2. Factor y(t).
t*(t - 3)*(t - 1)*(4*t + 1)
Let h(w) be the first derivative of -1/17*w**4 + 2/85*w**5 + 0*w + 2/17*w**2 - 23 - 2/51*w**3. Factor h(b).
2*b*(b - 2)*(b - 1)*(b + 1)/17
Let m(z) be the first derivative of -5*z**5/6 + 5*z**4/4 + 10*z**3/9 - 5*z**2/2 + 5*z/6 - 47. Solve m(x) = 0 for x.
-1, 1/5, 1
Suppose 4*n + 13 = 7*n + 4*h, 3*h - 15 = -3*n. Find d, given that -89*d**2 + n*d - 9*d + 85*d**2 - 14*d = 0.
-4, 0
Let q(j) be the second derivative of -j + 0 - 2*j**2 + 1/3*j**4 + 1/5*j**5 - 2/3*j**3. Factor q(v).
4*(v - 1)*(v + 1)**2
Let w be 6/27*((-40)/56 + 2). Suppose -2/7 - 2/7*y + 2/7*y**2 + w*y**3 = 0. What is y?
-1, 1
Suppose 0*t - 20 = -q + 5*t, 3*q = -2*t - 25. Let g(u) = -7*u**2 + 3*u + 13. Let m(l) = -13*l**2 + 5*l + 27. Let c(d) = q*g(d) + 3*m(d). Factor c(f).
-4*(f - 2)*(f + 2)
Let w be (3/(-9))/((-3)/2). Let l(k) = -k**3 - 19*k**2 - 20*k - 33. Let n be l(-18). Factor -w*i**2 + 2/9 - 2/3*i + 2/3*i**n.
2*(i - 1)*(i + 1)*(3*i - 1)/9
Let s(r) be the first derivative of -5/12*r**3 + 1/32*r**4 - 17 + 25/16*r**2 + 0*r. Factor s(w).
w*(w - 5)**2/8
Let r = 119 + -117. Suppose 2*l + 3 = 3*y, -5*l + 6 = -r*y - 3. Find q such that 0*q**2 + 4/7*q**l + 0*q**4 - 2/7*q**5 + 0 - 2/7*q = 0.
-1, 0, 1
Let a(u) be the first derivative of 3*u**4/28 - 5*u**3/7 - 39*u**2/14 - 3*u - 51. Factor a(r).
3*(r - 7)*(r + 1)**2/7
Let k(f) = f**3 - 5*f**2 - 5*f + 1. Let d(h) = 3*h - 3. Let i be d(3). Let x be k(i). Let -11*y + y**2 + x*y + 4 + 0 = 0. Calculate y.
2
Determine a so that -452/11*a + 18/11*a**3 - 96/11 - 86/11*a**2 = 0.
-3, -2/9, 8
Let n(v) be the first derivative of 32*v**3/3 - 58*v**2 - 66*v + 488. Let n(m) = 0. Calculate m.
-1/2, 33/8
Let x(s) be the third derivative of 9*s**8/56 - 19*s**7/140 - 159*s**6/80 + 37*s**5/20 + 15*s**4/4 + 2*s**3 - s**2 + 31*s. Solve x(w) = 0 for w.
-2, -1/4, -2/9, 1, 2
Let t(q) be the third derivative of q**4/12 + 5*q**3/3 - 5*q**2. Let a be t(-4). Factor -1/8*f**3 + 0*f + 0 - 1/4*f**a + 1/8*f**4.
f**2*(f - 2)*(f + 1)/8
Let s be (-2)/13 - 217/(-143). Let v = s - 34/33. Solve 0 - v*u**2 - 1/3*u = 0.
-1, 0
Let h(p) be the first derivative of 2*p**3/21 - 60*p**2/7 + 1800*p/7 - 8. Factor h(o).
2*(o - 30)**2/7
Suppose 17*l + 22943 = 23011. Find w, given that 23/3*w**2 - 25/3*w**5 - 19/3*w**3 - 55/3*w**l - 4/3 + 8/3*w = 0.
-1, 2/5
Let l(n) be the second derivative of -n**7/28 + 3*n**6/40 + 27*n**5/80 - 5*n**4/8 + 294*n + 2. Solve l(m) = 0 for m.
-2, 0, 1, 5/2
Solve -2/11*u**3 + 0 - 32/11*u - 20/11*u**2 = 0.
-8, -2, 0
Let d(w) be the first derivative of -245*w**6/6 + 1344*w**5 - 20355*w**4/4 + 4340*w**3/3 + 4050*w**2 + 1440*w + 25. Suppose d(x) = 0. Calculate x.
-2/7, 1, 3, 24
Let a(q) be the second derivative of -q**6/135 - q**5/45 + q**4/18 + 4*q**3/27 - 4*q**2/9 + 2*q - 7. Factor a(p).
-2*(p - 1)**2*(p + 2)**2/9
Let b(d) be the first derivative of d**4/5 - 4*d**3/15 + 427. Factor b(n).
4*n**2*(n - 1)/5
Let o(d) be the first derivative of d**6/36 + 4*d**5/15 + 7*d**4/8 + 7*d**3/9 - 5*d**2/3 - 4*d + 94. Suppose o(w) = 0. What is w?
-3, -2, 1
Factor -3*n**3 + 21*n - 24*n + 8*n**2 - 2*n**2.
-3*n*(n - 1)**2
Let m = -5 - -7. Let n = -11 - -13. Solve -4*k + 5*k - k**m + 2*k**n = 0.
-1, 0
Let m(r) be the second derivative of -7*r**5/220 - 10*r**4/33 - 17*r**3/22 + 9*r**2/11 + 546*r + 1. What is k in m(k) = 0?
-3, 2/7
Let r(u) be the third derivative of u**8/1512 + u**7/105 + 23*u**6/540 + 7*u**5/270 - 2*u**4/9 - 16*u**3/27 + 144*u**2. Solve r(x) = 0.
-4, -1, 1
Let g(v) be the second derivative of -2*v**6/15 + 2*v**5 + 11*v**4/3 + v + 72. Let g(n) = 0. What is n?
-1, 0, 11
Suppose 2*b + 0*y + 1 = 3*y, 2*b - 2*y - 2 = 0. Let j be (13 - -1)*2 - -1. Factor 2*w**2 - b*w**2 + 31*w - j*w.
-2*w*(w - 1)
Let m(b) be the first derivative of b**5/60 + b**4/24 + 10*b**2 - 26. Let k(w) be the second derivative of m(w). Find a, given that k(a) = 0.
-1, 0
Let a(h) = 7*h**3 + 13*h**2 - 7*h - 13. Let j = -34 + 32. Let x(q) = -8*q**3 - 12*q**2 + 8*q + 12. Let m(p) = j*x(p) - 3*a(p). Find y, given that m(y) = 0.
-3, -1, 1
Let n(u) be the first derivative of -u**9/7056 + u**7/980 - u**5/280 - 7*u**3/3 + 8. Let h(m) be the third derivative of n(m). Factor h(k).
-3*k*(k - 1)**2*(k + 1)**2/7
Let d(n) be the second derivative of 5*n**7/42 + 7*n**6/6 + 19*n**5/4 + 125*n**4/12 + 40*n**3/3 + 10*n**2 + 2*n - 156. Factor d(m).
5*(m + 1)**3*(m + 2)**2
Let p be (-10)/(-6) + 644/(-1380). F