*2*(q + 4)*(q + 14)/6
Let k(s) be the second derivative of 3*s - 18*s**3 - 21/10*s**6 - 507/20*s**5 - 5 + 44*s**4 + 0*s**2. Find b such that k(b) = 0.
-9, 0, 2/7, 2/3
Let n(d) be the third derivative of d**6/600 - 26*d**5/75 - 7*d**4/8 - 3*d**2 - 274*d + 1. Let n(m) = 0. Calculate m.
-1, 0, 105
Let i(r) be the second derivative of -r**10/7560 + r**9/756 - r**8/240 + r**7/210 + 5*r**4/3 + 66*r. Let z(o) be the third derivative of i(o). Factor z(f).
-4*f**2*(f - 3)*(f - 1)**2
Let x be (-4)/(3360/(-516))*85/2. Let f = x + -167/7. Solve 5/4*n**3 + 7/4*n + 1/4*n**4 + 1/2 + f*n**2 = 0.
-2, -1
Suppose 0 = 2*c - 4*v + 4, -20*c + 4*v + 50 = -15*c. Factor c - 51/7*s + 3/7*s**2.
3*(s - 14)*(s - 3)/7
Let z(k) = -k**3 + 35*k**2 - 36*k + 80. Let a be z(34). Factor -334 - a*i - 313 - 4*i**2 + 663.
-4*(i - 1)*(i + 4)
Let n(p) be the third derivative of 4/3*p**5 + 0*p**3 - 29/30*p**6 + 5/84*p**8 + 2*p**4 - 16/105*p**7 + 0*p + 0 + 352*p**2. Determine i, given that n(i) = 0.
-2, -2/5, 0, 1, 3
Find w such that 3/2*w + 1/6*w**4 + 7/6*w**3 + 0 + 5/2*w**2 = 0.
-3, -1, 0
Let h(c) = -136*c + 107 - 186 - 313 + 4*c**2 + 48*c. Let t(w) = w**2 - w + 1. Let r(x) = -h(x) + 8*t(x). Factor r(f).
4*(f + 10)**2
Factor -18*w**2 + 78 - 3/5*w**3 - 297/5*w.
-3*(w - 1)*(w + 5)*(w + 26)/5
Let r be (248/(-10))/((-6)/15). Let m = r - 56. Factor 29*h**3 + 0*h - 3*h**2 + m*h - 32*h**3.
-3*h*(h - 1)*(h + 2)
Let s be -14 + (-22 - -54) - 15. Let n(b) be the second derivative of 0 - 12*b + 1/8*b**4 + 3*b**2 - 5/4*b**s. Let n(z) = 0. Calculate z.
1, 4
Factor -109*u**2 - 20*u**3 + 652 - 37*u**2 - 3*u**4 + 2*u**4 - 460*u - 1177.
-(u + 3)*(u + 5)**2*(u + 7)
Let s(u) be the third derivative of 1 + 64/105*u**7 - 7*u**2 - 137/15*u**5 + 43/60*u**6 + 11/168*u**8 + 0*u + 24*u**3 - 29*u**4. Find y such that s(y) = 0.
-3, -2, 2/11, 2
Let n = -529 + 531. Factor -2*o**3 + 35*o + 4*o**n + 38253 - 38403 + o**3.
-(o - 5)**2*(o + 6)
Let k(b) be the second derivative of -b**7/210 - 2*b**6/75 + 42*b**5/25 + 243*b**4/10 + 279*b**3/2 + 405*b**2 + 15*b - 83. Find q such that k(q) = 0.
-10, -3, 15
Let v be 40/(-10)*(-7)/(-70)*45/(-6). Let l(m) be the first derivative of -1/12*m**v - 1/8*m**2 + 1/16*m**4 + 3 + 1/20*m**5 + 0*m. Determine p so that l(p) = 0.
-1, 0, 1
Let y be ((-26)/18 + 2)/((-170)/(-510)). Let c(k) be the first derivative of 13/12*k**2 - 37 + 1/6*k**3 - y*k. Factor c(n).
(n + 5)*(3*n - 2)/6
Let y(q) = q**3 + q**2 + 35*q + 107. Let l be y(-3). Let h = 22 + l. Find i such that 4*i**2 + 0 + 2/3*i**3 + h*i = 0.
-3, 0
Let j = -27 - -32. Let z(b) = 3*b**2 - 11*b + 5. Let g be z(j). Determine h, given that 4*h**2 - h - 29 + 12*h - 12*h**3 + h + g = 0.
-1, 1/3, 1
Suppose -15/4*x**2 + 42*x - 96 = 0. Calculate x.
16/5, 8
Factor -3900/11*t - 2/11*t**2 - 1901250/11.
-2*(t + 975)**2/11
Factor -4*o + 2887*o**2 + 9*o**3 - 2865*o**2 + 3*o**3.
2*o*(o + 2)*(6*o - 1)
Let t be (-2)/7 + (-92)/(-28). Let v be (t + 12 - -4) + -1. Factor -m**2 - 7*m**2 - 5*m**2 + 14*m**2 + 81 - v*m.
(m - 9)**2
Let d = -30 + 32. Find a such that -238*a**2 + 58*a**d - 5*a**4 + 90*a**3 - 30*a**3 = 0.
0, 6
Let m(a) be the first derivative of a**4/7 + 40*a**3/7 + 384*a**2/7 + 1408*a/7 - 904. Factor m(g).
4*(g + 4)**2*(g + 22)/7
Let a = 257/144 - 1141/720. Factor a*o**5 - 1/5*o**2 + 0 + 1/5*o**4 + 0*o - 1/5*o**3.
o**2*(o - 1)*(o + 1)**2/5
Let p be 1 + (-26)/(-5) - (-28 + (-132)/(-4)). Factor 1/5*q - 1/5*q**3 - 6/5 + p*q**2.
-(q - 6)*(q - 1)*(q + 1)/5
Find o, given that 4394000/3 + 260*o**2 - 33800*o - 2/3*o**3 = 0.
130
Let w(o) be the second derivative of -54*o - 19/6*o**2 + 0 + 1/36*o**4 + o**3. Factor w(b).
(b - 1)*(b + 19)/3
Factor 15/4*l**2 + 9/2*l - 1/4*l**3 - 8.
-(l - 16)*(l - 1)*(l + 2)/4
Let f(x) be the second derivative of 1/21*x**7 - 19/3*x**3 + x + 22 - 10/3*x**4 - 3/5*x**5 - 6*x**2 + 2/15*x**6. Factor f(a).
2*(a - 3)*(a + 1)**3*(a + 2)
Factor 0*d - 2/3*d**3 + 0 - 3716/3*d**2.
-2*d**2*(d + 1858)/3
Suppose 4*k = -k + 5*u + 20, -2*k - 4*u + 14 = 0. Factor 2*b - 3056*b**3 + 3056*b**3 - 2*b**k - 4*b**4 + 4*b**2.
-2*b*(b - 1)*(b + 1)**3
Let x(c) be the first derivative of -2/5*c**3 + 3/20*c**4 + 0*c + 3/10*c**2 - 44. Determine w, given that x(w) = 0.
0, 1
Suppose -2*o = -2*c - 10, 23*c - 9 = 26*c. Factor -3 - k + 1/4*k**3 + 3/4*k**o.
(k - 2)*(k + 2)*(k + 3)/4
Let t(r) be the first derivative of r**6/42 + 11*r**5/35 + 9*r**4/7 + 16*r**3/21 - 32*r**2/7 - 11563. Suppose t(z) = 0. Calculate z.
-4, 0, 1
Let c(x) be the third derivative of 0 + 0*x**4 + 1/30*x**6 - 177*x**2 + 0*x + 8/15*x**5 + 0*x**3. Find m such that c(m) = 0.
-8, 0
Factor -185*z**2 - 5*z - 1189*z**2 + 2489*z**2.
5*z*(223*z - 1)
Let d = 3643088/65 - 280236/5. Suppose d*w**3 + 8/13*w**2 - 2/13*w**5 - 4/13 - 2/13*w - 4/13*w**4 = 0. What is w?
-2, -1, 1
Suppose 5*g + n = -n + 27, -3*g - n = -16. What is b in -15 - 35*b + 11*b**2 - 56*b**2 - g*b**4 + 5 - 25*b**3 = 0?
-2, -1
Let v be (8/(-9))/(2/3)*(-6)/24. Factor 0 - v*x + 1/3*x**2.
x*(x - 1)/3
Let m(q) be the first derivative of q**5/20 + 29*q**4/8 - 48*q**3 + 891*q**2/4 - 1809*q/4 - 1369. Factor m(k).
(k - 3)**3*(k + 67)/4
Let t(p) be the first derivative of -36*p + 144 - 6*p**2 - 3/4*p**4 + 7*p**3. Factor t(s).
-3*(s - 6)*(s - 2)*(s + 1)
Let p = -733681 + 5135919/7. Determine d so that 400/7*d**2 + 2/7*d**5 + 4*d**4 + p*d**3 + 512/7*d + 256/7 = 0.
-4, -2
Let i(u) = 18*u**2 + 33695*u - 9723. Let s(a) = -2*a**2 - 2808*a + 810. Let o(c) = 2*i(c) + 25*s(c). Solve o(t) = 0 for t.
-201, 2/7
Let s be -5 + -20 + 101/4. Determine l so that 75/4*l**2 + 0 + s*l**4 + 15/4*l**3 + 125/4*l = 0.
-5, 0
Let z = 371891 - 1115672/3. Suppose 0 - 1/3*c + 0*c**2 + z*c**3 = 0. Calculate c.
-1, 0, 1
Let m be 784/2260 + (-7)/5 + 1. Let q = m + 268/791. Solve q*h - 2/7*h**3 + 2/7*h**2 - 2/7*h**4 + 0 = 0 for h.
-1, 0, 1
Let i = 709 - 703. Suppose -r = 9*w - i*w + 1, -2*w + 2*r = -2. Factor 1/9*h**2 + w + 2/9*h.
h*(h + 2)/9
Let x be 0/(-4) + 1*(-3 - -10). Suppose -2*y + x + 3 = 0. Find a such that -60*a**2 + y*a**3 - 12 + 75*a**2 - 8 = 0.
-2, 1
Let w(k) be the second derivative of -k**4/4 + 207*k**3/7 - 177*k**2/14 - 2060*k. Determine q, given that w(q) = 0.
1/7, 59
Let y(j) be the first derivative of 45/4*j**3 - 39/16*j**4 - 27/20*j**5 - 1/8*j**6 + 0*j + 75/4*j**2 - 81. Suppose y(x) = 0. What is x?
-5, -1, 0, 2
Suppose 16 = -4*x, 1 = -4*g + x + 21. Factor 36*h**5 + 183*h - 48*h + 36*h**3 + 75*h**g - 41*h**5 - 166*h**3 - 10*h**2 - 65.
-5*(h - 13)*(h - 1)**3*(h + 1)
Suppose 0 = -80775*q + 80836*q - 549. Factor 46/3*z**3 - 27*z + q - 6*z**2 + 23/3*z**4 + z**5.
(z - 1)*(z + 3)**3*(3*z - 1)/3
Let x(j) be the first derivative of -5*j**4/14 + 32*j**3/21 - 11*j**2/7 - 80. Let x(k) = 0. What is k?
0, 1, 11/5
Let x(b) be the second derivative of -b**6/1200 + b**5/600 + b**4/240 - b**3/60 + 119*b**2/2 + 26*b. Let m(w) be the first derivative of x(w). Factor m(o).
-(o - 1)**2*(o + 1)/10
Let j(o) be the first derivative of -o**5/110 + 3*o**3/11 + 93*o - 64. Let s(h) be the first derivative of j(h). Find d, given that s(d) = 0.
-3, 0, 3
Let q(o) be the first derivative of 134 + 12*o**2 - 3/10*o**5 + 0*o**3 - 3/2*o**4 + 24*o. Determine m so that q(m) = 0.
-2, 2
Let f be (4/(-95))/((-4)/10). Let q = -85969 + 85971. Factor 4/19 - 2/19*x**q + f*x.
-2*(x - 2)*(x + 1)/19
Let d(a) = 15*a - 12. Let g be d(1). Let w be g - 4/8*2. Factor 7*o**2 - w*o**3 + 0*o - 6*o + 4*o - 7*o**4 + 4*o.
-o*(o - 1)*(o + 1)*(7*o + 2)
Let b(z) be the second derivative of -z**5/10 + 15*z**4/2 - 242*z**3/3 + 312*z**2 - 10719*z. Factor b(p).
-2*(p - 39)*(p - 4)*(p - 2)
Let s(u) be the third derivative of -u**9/30240 + u**8/1008 + u**5/30 + u**4/12 + 5*u**2 + 9. Let p(m) be the third derivative of s(m). Factor p(k).
-2*k**2*(k - 10)
What is p in 1539/4*p**2 + 3/4*p**4 - 141/4*p**3 - 102885/2 + 11913/4*p = 0?
-10, 19
Let 0 + 36*x**4 + 2/3*x**5 + 464/3*x**2 + 0*x - 152*x**3 = 0. Calculate x.
-58, 0, 2
Let s = -1128514 - -1128516. Factor 6/7 + 4/7*q + 2/7*q**4 - 4/7*q**3 - 8/7*q**s.
2*(q - 3)*(q - 1)*(q + 1)**2/7
Let o(t) be the second derivative of 213*t + 1/110*t**5 - 4/11*t**3 + 0*t**4 + 16/11*t**2 + 0. Let o(z) = 0. What is z?
-4, 2
Suppose -9*l + 22*l = 39. Factor 5*m - 4*m**3 + 25*m**3 - 15*m**2 - 6*m**l + 32*m**4 - 37*m**4.
-5*m*(m - 1)**3
Factor 2/3*h**3 - 64/3*h + 0 + 62/3*h**2.
2*h*(h - 1)*(h 