p) be the third derivative of r(p). Factor q(w).
-2*w*(w + 3)
Suppose d = p + 29, 44 = 2*d + 4*p + p. Suppose -31*z + d*z = 0. Let z*x**2 + 5*x**2 + 3*x**2 - 4*x**3 = 0. Calculate x.
0, 2
Let d(o) be the third derivative of 5*o**8/336 - 5*o**7/42 - o**6/4 + 8*o**5/3 + 20*o**4/3 - 2*o**2 + 13. What is w in d(w) = 0?
-2, -1, 0, 4
Factor 14/9*i**2 - 10/3*i**3 + 0*i + 0 - 2/9*i**5 + 2*i**4.
-2*i**2*(i - 7)*(i - 1)**2/9
Let s(t) be the third derivative of -t**7/420 - t**6/240 + t**5/40 + t**4/48 - t**3/6 - 2*t**2 + 7*t. Factor s(i).
-(i - 1)**2*(i + 1)*(i + 2)/2
Let j(c) be the second derivative of c**4/3 + 10*c**3/3 - 28*c**2 + 132*c. Find f such that j(f) = 0.
-7, 2
Let y(k) be the third derivative of k**7/28 - k**6/24 - 2*k**5/3 - 35*k**4/24 - 5*k**3/4 - 24*k**2. Suppose y(g) = 0. What is g?
-1, -1/3, 3
Factor 430*l**4 - 5*l**5 + 550*l**3 + 800*l**2 - 280*l**4 + 10*l**5 + 525*l + 130.
5*(l + 1)**4*(l + 26)
Let -1/9*t**3 - 2/3*t**2 + 37/9*t - 10/3 = 0. What is t?
-10, 1, 3
Let r(z) be the third derivative of z**8/1260 + z**7/315 - z**3 - 19*z**2. Let a(d) be the first derivative of r(d). Let a(c) = 0. What is c?
-2, 0
Let s(a) = a**2 - 1. Let c be s(2). Suppose 6*h + 4 = 7*h. Let -y**c - h*y**4 + 0*y**4 - y**3 = 0. What is y?
-1/2, 0
Factor -2/15*k**2 - 16/15 - 4/5*k.
-2*(k + 2)*(k + 4)/15
Suppose -d - 22 = -24. Let 20*s**2 - 4 + 24*s**2 - 43*s**d = 0. Calculate s.
-2, 2
Let j(w) be the first derivative of 2 + 1/30*w**6 + 11/2*w**2 - 2/15*w**5 - 1/6*w**4 + 0*w + 4/3*w**3. Let x(o) be the second derivative of j(o). Factor x(h).
4*(h - 2)*(h - 1)*(h + 1)
Let d(j) be the second derivative of -j**5/50 + j**4/10 - j**3/5 + j**2/5 + 2*j + 15. Determine y, given that d(y) = 0.
1
Let g = -54 - -104. Find f such that -15*f**5 - g*f**4 - 6*f**3 + f**3 + 30*f**2 - 5 + 5 = 0.
-3, -1, 0, 2/3
Let 3/4*l**2 + 29/4*l**3 + 5/4*l**4 - 2 - 13/2*l - 3/4*l**5 = 0. What is l?
-2, -1, -1/3, 1, 4
Let 0*s**2 + 0*s**4 - 4/3*s + 0 + 53/3*s**3 - 49/3*s**5 = 0. What is s?
-1, -2/7, 0, 2/7, 1
Let i(z) = -150*z + 452. Let n be i(3). Factor -3/5*r**n + 6/5*r + 0.
-3*r*(r - 2)/5
Let a = 228 - 223. Let y(l) be the first derivative of 1/13*l**4 + 0*l + 2/39*l**3 + 2/65*l**a - 3 + 0*l**2. Factor y(m).
2*m**2*(m + 1)**2/13
Let k(j) = j**2 - 23*j - 11. Let c(z) = -2*z - 1. Let h(v) = -v**3 - 15*v**2 - 13*v + 10. Let t be h(-14). Let m(o) = t*k(o) + 44*c(o). Factor m(x).
-4*x*(x - 1)
Let w(v) be the third derivative of -v**7/490 + v**6/56 - 2*v**5/35 + v**4/14 + 43*v**2. Factor w(a).
-3*a*(a - 2)**2*(a - 1)/7
Suppose 2*a + 74 - 66 = 0. Let g be -9 - a - (-6 - -1). Factor g*c + 2/11*c**2 - 2/11.
2*(c - 1)*(c + 1)/11
Let y = -7025 - -7028. Solve 117/4*u**2 - 37/4*u + 27/4*u**4 + 1 - 135/4*u**y = 0.
1/3, 4
Let v(c) be the third derivative of c**8/1680 + 13*c**7/1050 + 3*c**6/40 - c**5/12 - 25*c**4/12 + 4*c**2 - 12*c. Factor v(j).
j*(j - 2)*(j + 5)**3/5
Find n such that -17*n + 2*n**3 + 0*n**3 + 112 + 60*n**2 - 2*n**4 + 169*n = 0.
-2, 7
Let p(v) be the second derivative of 8*v - 17/3*v**4 + 8/3*v**3 + 26/15*v**6 - 10/21*v**7 + 8*v**2 + 1/5*v**5 + 0. Find c such that p(c) = 0.
-1, -2/5, 1, 2
Let f(u) = u**3 + 4*u**2 - 24*u + 11. Let r be f(3). Let 3/4*w**3 - 9/8 + 3*w - 21/8*w**r = 0. Calculate w.
1, 3/2
Let o(y) be the third derivative of -y**8/2520 + y**7/315 - y**6/180 + 7*y**3/2 + 24*y**2. Let h(a) be the first derivative of o(a). Factor h(l).
-2*l**2*(l - 3)*(l - 1)/3
Solve 12 + 5*k**2 + 14*k + 1/2*k**3 = 0.
-6, -2
Let u(i) be the first derivative of i**4/12 - 4*i**3/9 + 61. Factor u(l).
l**2*(l - 4)/3
Let x(c) be the first derivative of -c**3/4 - 3*c**2 - 45*c/4 + 303. Factor x(j).
-3*(j + 3)*(j + 5)/4
Suppose 7 = -4*n + 3*g - 5, n - 3*g + 12 = 0. Let d(m) be the third derivative of n + 2/15*m**3 + 0*m - 1/30*m**4 + 1/300*m**5 + 2*m**2. Factor d(k).
(k - 2)**2/5
Suppose -5*d - 45 = 30. Let s = d + 17. Determine b so that -8*b - 3*b**2 + 3*b**3 - b**2 + 0*b**s + 4*b**4 + 5*b**3 = 0.
-2, -1, 0, 1
Let u(r) = -4*r**2 - 104*r - 152. Let m(c) = -35*c + 684*c**2 - 34*c - 101 - 687*c**2. Let w(k) = 8*m(k) - 5*u(k). Determine o so that w(o) = 0.
-6, -2
Let l(q) be the first derivative of q**4/4 + 26*q**3/3 + 49*q**2/2 + 24*q + 143. Solve l(n) = 0.
-24, -1
Suppose -n = 4*n - 20. Let a(r) = 4*r + 303*r**3 + 0 + 2*r**2 - 2 - 304*r**3. Let i(q) = -q**3 + 2*q**2 + 5*q - 2. Let t(b) = n*a(b) - 3*i(b). Factor t(m).
-(m - 2)*(m - 1)*(m + 1)
Let s(q) be the second derivative of 14*q + 0 + 1/12*q**4 + 1/252*q**7 - 1/4*q**3 + 0*q**2 + 1/15*q**5 - 1/30*q**6. Solve s(a) = 0.
-1, 0, 1, 3
Let f(k) = k**3 - 10*k**2 - 25*k + 16. Let d be f(12). Suppose 0 = g + 4*t + 20 - d, -2*g = -5*t - 20. Find y, given that 15/2*y + g + 5/2*y**2 = 0.
-3, 0
Let t(m) = -7*m**4 - 4*m**3 + 8*m**2 - 5. Let k(u) = 7*u**4 + 6 + 3*u**3 + 2*u**3 - 4*u**2 - u**3 - 5*u**2. Let p(x) = 5*k(x) + 6*t(x). Solve p(y) = 0 for y.
-1, 0, 3/7
Let o(r) be the third derivative of 4/735*r**7 + 0 - 6*r**2 + 0*r + 13/420*r**6 - 4/21*r**4 + 1/70*r**5 - 4/21*r**3. Find c such that o(c) = 0.
-2, -1/4, 1
Factor 3/8*b**2 + 3/4 - 9/8*b.
3*(b - 2)*(b - 1)/8
Let k(h) = 2*h**3 + 42*h**2 - 96*h + 48. Let o(i) = -4*i**3 - 38*i**2 + 97*i - 49. Let a(t) = 3*k(t) + 2*o(t). Suppose a(j) = 0. Calculate j.
1, 23
Suppose 0 = 7*u - 10*u - 3. Let f(n) = -n**2 - n. Let y be f(u). Factor -3*o**3 - o**4 + 5*o**3 + y*o**3 + 0*o**4 - o**2.
-o**2*(o - 1)**2
Let z(c) be the third derivative of -c**7/2100 + c**6/120 - 37*c**5/600 + c**4/4 - 3*c**3/5 - 71*c**2. Find v, given that z(v) = 0.
2, 3
Let h = -341 + 344. Factor -1/4*y**2 + 1/2*y - 1/4*y**h + 0.
-y*(y - 1)*(y + 2)/4
Suppose -8*u + 5*u + 12 = 0. Let t(a) be the second derivative of 0*a**2 + 3/50*a**5 + 0 + 3/50*a**6 + 1/70*a**7 + u*a + 0*a**4 + 0*a**3. Factor t(l).
3*l**3*(l + 1)*(l + 2)/5
Let j(w) be the second derivative of -9/20*w**5 + 0*w**3 + 0*w**2 + 1/4*w**4 - 30*w + 0 + 1/5*w**6. Solve j(d) = 0 for d.
0, 1/2, 1
Let y = 790 - 788. Let i(n) be the third derivative of -1/105*n**5 + 1/42*n**4 + 4/21*n**3 + 4*n**y + 0*n + 0. Factor i(d).
-4*(d - 2)*(d + 1)/7
Let a be 320/(-400) - 366/(-45). Find i such that a*i**2 + 25/3*i**3 - 2/3 + 1/3*i - 2/3*i**4 - 8/3*i**5 = 0.
-1, -1/2, 1/4, 2
Let f be 2*(-15)/(-5) + (6 - 7). Determine p so that 3/2*p**4 - 6*p**f + 6*p**3 - 3/2*p**2 + 0 + 0*p = 0.
-1, 0, 1/4, 1
Let i be (-1 - -7)*4/9*981/872. Suppose 12/5*f + 27/5*f**2 - 36/5 - 3/5*f**4 + 0*f**i = 0. What is f?
-2, 1, 3
Find p such that -35/4*p**2 + 11/4*p**3 + 3/2*p + 0 = 0.
0, 2/11, 3
Let q be (13 - 3) + 2/(1 + 0). Suppose 0*g = q*g. Factor g*n + 1/4*n**3 + 1/4*n**2 + 0.
n**2*(n + 1)/4
Let v(u) be the second derivative of -5*u**4/78 + 19*u**3/39 - 12*u - 2. Factor v(n).
-2*n*(5*n - 19)/13
Let q(k) be the third derivative of -8/21*k**3 + 0*k - 1/42*k**6 + 13/105*k**5 + 0 - 2/21*k**4 + 5*k**2. Factor q(j).
-4*(j - 2)*(j - 1)*(5*j + 2)/7
Factor 8/23*z - 2/23*z**3 + 200/23 - 50/23*z**2.
-2*(z - 2)*(z + 2)*(z + 25)/23
Suppose r - 25 = -1. Let f be ((-8)/r)/((-14)/12). Solve 0 + 0*s**3 - 2/7*s**2 + 0*s + f*s**4 = 0 for s.
-1, 0, 1
Let u(h) be the third derivative of -h**6/540 - h**5/135 + h**4/12 + 2*h**3/3 - h**2 - 260. Factor u(f).
-2*(f - 3)*(f + 2)*(f + 3)/9
Let f be (-1510)/40 + 3/(-1*12). Let a = f + 77/2. Solve -1/2*j**2 - a*j**3 + j + 0 = 0.
-2, 0, 1
Let k(z) be the second derivative of 1/3*z**2 - 1/60*z**5 - 1/18*z**4 + 0 + 1/18*z**3 - 33*z. Factor k(x).
-(x - 1)*(x + 1)*(x + 2)/3
Let g(p) be the first derivative of -p**4/12 - 7*p**3/9 + p**2/6 + 7*p/3 - 167. Determine y so that g(y) = 0.
-7, -1, 1
Let -45*d**4 - 10*d**5 - 70*d**3 - 12 - 25 - 45*d**2 - 10*d + 37 = 0. Calculate d.
-2, -1, -1/2, 0
Let f = -14412 - -14412. Factor 0*c**2 + 0*c + f + 1/5*c**3.
c**3/5
Let g(z) be the second derivative of -z**4/6 + 8*z**3 - 144*z**2 + 3*z + 11. Factor g(o).
-2*(o - 12)**2
Let t(h) = -16*h - 90. Let n be t(-6). Let c(s) be the second derivative of 0*s**2 + 1/30*s**5 + 0 - 4*s - 1/45*s**n + 0*s**4 + 0*s**3. Factor c(k).
-2*k**3*(k - 1)/3
Factor 6*z - 2/7*z**2 - 2/7*z**3 + 90/7.
-2*(z - 5)*(z + 3)**2/7
Let o(d) be the second derivative of -d**8/10080 + d**6/1080 - d**4/144 + 4*d**3/3 - 9*d. Let m(t) be the second derivative of o(t). Factor m(c).
-(c - 1)**2*(c + 1)**2/6
Let g(x) = 2*x**3 + x - 1. Let j(z) = 38*z**3 + 50*z**2 - 