iven that r(u) = 0.
0, 2
Let a(m) be the third derivative of m**6/240 - m**5/30 - 7*m**4/48 + 5*m**3/6 - 5*m**2. Suppose a(x) = 0. What is x?
-2, 1, 5
Let i(u) be the first derivative of -5*u**3/3 - 15*u**2 - 45*u + 118. Factor i(h).
-5*(h + 3)**2
Let h = 100553/10 - 10055. Factor 1/2*s**3 + 0 + 1/5*s**2 - h*s.
s*(s + 1)*(5*s - 3)/10
Let m(l) be the third derivative of l**7/360 + l**6/270 - l**5/90 - 7*l**4/24 + 5*l**2. Let s(u) be the second derivative of m(u). Solve s(y) = 0.
-2/3, 2/7
Let a(g) = 3*g**3 - 7*g**2 + 10*g + 16. Let j(r) = -16*r**3 + 35*r**2 - 51*r - 80. Let c(t) = -11*a(t) - 2*j(t). Find s such that c(s) = 0.
-1, 4
Suppose -m + 5 = -p, m + 3*p + 5 = -m. Determine h so that -3*h**m + 3*h + h**3 + 2*h**3 - 3 + 6*h**2 - 6*h**3 = 0.
-1, 1
Let i(r) be the third derivative of r**7/840 - r**6/60 + r**5/10 - 23*r**4/24 - 15*r**2. Let b(v) be the second derivative of i(v). Factor b(f).
3*(f - 2)**2
Let -1586*v + 792*v + 806*v + 40 - 24*v**2 + 4*v**3 = 0. Calculate v.
-1, 2, 5
Let k(h) be the first derivative of -h**3/21 - 73*h**2/14 + 74*h/7 - 269. Factor k(v).
-(v - 1)*(v + 74)/7
Let v(f) = 15*f - 5. Let w be v(3). Factor -8*u**4 - 20*u**5 - w + 40.
-4*u**4*(5*u + 2)
Let m = -29307 - -58615/2. Determine h so that m*h**4 + 5/2*h**2 - 7/2*h - 3 + 7/2*h**3 = 0.
-6, -1, 1
Let u(g) be the second derivative of -g**6/75 + 4*g**5/25 - 2*g**4/3 + 16*g**3/15 + 616*g. Factor u(r).
-2*r*(r - 4)*(r - 2)**2/5
Factor 0 + 8/13*p + 0*p**2 - 2/13*p**4 - 6/13*p**3.
-2*p*(p - 1)*(p + 2)**2/13
Let c(x) be the third derivative of -x**5/60 + 10*x**4/3 - 800*x**3/3 + 2*x**2. Factor c(d).
-(d - 40)**2
Let x be ((-138)/506)/((-14)/22). Let z be 1/1 - (-6)/(-42). Factor -z - x*u**2 - 9/7*u.
-3*(u + 1)*(u + 2)/7
Let g(f) = f**2 + 8*f - 9. Let z be g(-11). Suppose -2*v + 22 = -0*v + 3*q, -2*v + z = 4*q. Find k such that 39*k**2 - 6 + v + 63*k**3 - 2 + 6*k = 0.
-1/3, -2/7, 0
Let u(i) be the third derivative of -i**7/315 + i**6/60 + 37*i**2. Factor u(c).
-2*c**3*(c - 3)/3
Let b = 136 - 57. Let c = b - 79. Solve 0 + 2/5*u**4 + 0*u**3 + 0*u**2 + c*u = 0.
0
Let f be (-2)/6*27/(-45). Let j(k) be the first derivative of f*k**5 - 1/2*k**4 + 1 - k**3 + 2*k**2 + 4*k. Factor j(u).
(u - 2)**2*(u + 1)**2
Let d(t) be the third derivative of -t**5/30 + 53*t**4/6 - 2809*t**3/3 - 17*t**2 - 2. Factor d(w).
-2*(w - 53)**2
Let x = 18707/3 + -6235. Suppose -4/3*p**2 + 0 + x*p + 2/3*p**3 = 0. Calculate p.
0, 1
Let b(u) be the first derivative of -u**7/1680 - 7*u**6/720 - u**5/30 + u**4/3 - 14*u**3/3 - 8. Let n(t) be the third derivative of b(t). Factor n(o).
-(o - 1)*(o + 4)**2/2
Factor -1/7*m**2 - 144/7 - 24/7*m.
-(m + 12)**2/7
Determine j so that -13302 - 202*j**2 + 64785 + 205*j**2 + 786*j = 0.
-131
Let z(a) be the first derivative of -17*a**3/3 - 219*a**2/2 + 26*a + 851. Determine j, given that z(j) = 0.
-13, 2/17
Let g(z) be the first derivative of -23 + z**2 - 1/6*z**3 - 2*z. Determine p, given that g(p) = 0.
2
Let c be 6 + -6 + (-4 - -7). Suppose -3*u - c*b = -57, 2*u = -5*b + 4*b + 35. Determine p, given that 8*p**2 - 16 + 7*p + 9*p + 4*p**4 + 4*p**2 - u*p**3 = 0.
-1, 1, 2
Determine q, given that 21*q - 11*q**2 + 13*q**2 + 12 - 7*q = 0.
-6, -1
Let j(h) be the third derivative of -5*h**6/72 + h**5/8 + 5*h**4/12 - 17*h**3/6 + 3*h**2. Let z(b) be the first derivative of j(b). Suppose z(d) = 0. What is d?
-2/5, 1
Suppose 248*b - 2217 = -1225. Factor 1/2*p**2 + 0*p**3 - 1/4*p**b + 0*p - 1/4.
-(p - 1)**2*(p + 1)**2/4
Suppose 0 = -5*c + 71 + 59. Let b = -22 + c. Determine i, given that -3*i**3 + 3*i + 2*i**4 + 3*i**2 - 8*i**b + 3*i**4 = 0.
-1, 0, 1
Let i(w) be the second derivative of w**8/33600 + w**7/1800 + w**6/240 + 3*w**5/200 + 41*w**4/12 + 5*w. Let h(k) be the third derivative of i(k). Factor h(u).
(u + 1)*(u + 3)**2/5
Factor -54*f**2 + 31*f**2 + 26*f**2 - 9*f + 36*f.
3*f*(f + 9)
Let r(j) be the third derivative of j**6/720 + j**5/120 - j**4/16 - 7*j**3/3 - 15*j**2. Let z(s) be the first derivative of r(s). Solve z(i) = 0.
-3, 1
Let r = 13 + -8. Let v(x) = -8*x**3 + 26*x**2 - 28*x - 2. Let w(m) = 8*m**3 - 26*m**2 + 27*m + 1. Let y(d) = r*v(d) + 6*w(d). Factor y(k).
2*(k - 2)*(k - 1)*(4*k - 1)
Let g(i) be the first derivative of i**4/5 - 2*i**3/3 + i**2/5 + 4*i/5 + 410. Factor g(k).
2*(k - 2)*(k - 1)*(2*k + 1)/5
Suppose -5*d = -t - d - 9, -3*d = t - 12. Factor 13*r**4 - 48*r**2 + 0*r**3 + 0*r**t - 48*r + 3*r**5 - r**4.
3*r*(r - 2)*(r + 2)**3
Let c(w) be the second derivative of w**4/3 - 16*w**3/3 - 66*w**2 - 306*w. Find r such that c(r) = 0.
-3, 11
Let l = -7 - -4. Let c(p) = p**2 + 0*p**2 - 5*p**4 - 28*p**3 + 3*p + 25*p**3. Let v(u) = 4*u**4 + 3*u**3 - 2*u. Let y(a) = l*c(a) - 4*v(a). Factor y(h).
-h*(h + 1)**3
Let h(q) be the first derivative of -200*q**2 - 5/6*q**6 + 400/3*q**3 + 5 + 10*q**5 + 160*q - 50*q**4. Find c, given that h(c) = 0.
2
Let q(t) be the second derivative of 2*t**6/15 + 4*t**5/5 - 19*t**4/3 + 28*t**3/3 + 14*t + 5. Find k, given that q(k) = 0.
-7, 0, 1, 2
Let h(q) = -5*q**3 + q**2 + 5*q + 2. Let f be (-12)/10*(-10)/4. Let a(k) = -5 + 16*k**3 - 4*k - 12*k**3 + 3. Let l(s) = f*a(s) + 2*h(s). Factor l(y).
2*(y - 1)*(y + 1)**2
Let a(h) be the second derivative of h**7/168 - h**6/20 + h**5/20 + h**4/8 - 5*h**3/24 - 15*h - 5. Find m, given that a(m) = 0.
-1, 0, 1, 5
Suppose 57*o - 348 = -o - 116*o. Determine y so that 4/5*y**4 - 28/5*y + 31/5*y**3 - 16/5 - 3/5*y**5 + 12/5*y**o = 0.
-2, -1, -2/3, 1, 4
Let k(c) be the second derivative of 69*c**5/200 + 71*c**4/120 - 34*c**3/15 - c**2/5 + 31*c - 4. Let k(w) = 0. Calculate w.
-2, -2/69, 1
Suppose 14/3*g**3 + 0 + 46/9*g**2 + 4/9*g = 0. What is g?
-1, -2/21, 0
Let k(p) be the second derivative of -p**6/6 + p**5/2 + 25*p**4/4 - 30*p**3 + 18*p. Solve k(d) = 0.
-4, 0, 3
Let n(c) = -3*c**2 + 164*c - 1708. Let o be n(14). Factor -1/2*k**2 + 2 + o*k.
-(k - 2)*(k + 2)/2
Let g = -164 + 168. Suppose -g*k = 68 - 76. Factor 1/2*y**2 + 0*y - k.
(y - 2)*(y + 2)/2
Let x = 7401 + -7398. Factor -1/2*v**4 + 2*v - v**x + 3/2*v**2 - 2.
-(v - 1)**2*(v + 2)**2/2
Suppose -166 = -49*d - 24*d + 53. Factor 0 - 5/3*p**2 - 5/3*p + 5/3*p**4 + 5/3*p**d.
5*p*(p - 1)*(p + 1)**2/3
Let y(s) be the first derivative of 2*s**2 + 5. Let l be y(1). Solve -1 - d + l*d - d - 2*d**2 + d**2 = 0.
1
Suppose -2/11*j - 7/11*j**2 + 0 + 9/11*j**3 = 0. Calculate j.
-2/9, 0, 1
Determine g so that -1/4*g - 3/4*g**3 + 0 + g**2 = 0.
0, 1/3, 1
Let l(w) = 13*w**2 - 5*w + 9. Let d(q) = -3*q**2 + q - 2. Let y be (-12)/7 - 10/35. Let z(k) = y*l(k) - 9*d(k). Determine r so that z(r) = 0.
-1, 0
Suppose -2*y = -9 + 1. Suppose -2*m - 22 = -3*m + y*k, -5*m - k = -26. Find w such that -m*w**3 + 6*w**2 + 6*w - 3*w**4 + 9*w**2 - 12*w**2 = 0.
-2, -1, 0, 1
Let m be ((-8)/36)/((-17)/306). Factor 0 - 4*z**3 + 4/3*z**5 + 8/3*z**2 + 0*z + 0*z**m.
4*z**2*(z - 1)**2*(z + 2)/3
Let k(z) be the second derivative of 0*z**3 + 0 + 0*z**2 - 1/3*z**4 - 20*z - 2/5*z**6 - 2/21*z**7 - 3/5*z**5. Determine o, given that k(o) = 0.
-1, 0
Let i(t) = -6*t**2. Let w(x) be the second derivative of x**4/12 - 3*x. Let k(o) = 2*i(o) + 14*w(o). Factor k(b).
2*b**2
Let m(c) be the second derivative of 3*c**5/80 - 147*c**4/16 + 5475*c**3/8 - 15987*c**2/8 + c - 28. Suppose m(w) = 0. What is w?
1, 73
Suppose z - 5*p + 0*p + 46 = 0, 0 = z + 3*p + 14. Let r be ((-2)/4)/(z/8). Solve 4/13 + r*u**2 + 6/13*u = 0 for u.
-2, -1
Let u(y) be the first derivative of -1/280*y**6 + 0*y**3 - 2*y**2 - 1/56*y**4 + 0*y + 1 + 1/70*y**5. Let t(p) be the second derivative of u(p). Factor t(d).
-3*d*(d - 1)**2/7
Let g(i) be the third derivative of 2/27*i**3 + 1/108*i**5 - 1/18*i**4 + 0*i + 5*i**2 + 0. Factor g(o).
(o - 2)*(5*o - 2)/9
Factor 216 - 6*a**3 + 123/2*a**2 - 204*a.
-3*(a - 4)**2*(4*a - 9)/2
Suppose -b - 8 = -3*b, o = -4*b + 19. Suppose 0 = -y + 16 + 36. Factor -5*q**o + 4*q**3 - 2*q**4 - y*q**2 - 5*q**3 - 2*q + 46*q**2.
-2*q*(q + 1)**3
Let r(b) be the second derivative of -b**8/1344 + b**6/144 + 3*b**4/2 + 12*b. Let o(f) be the third derivative of r(f). What is u in o(u) = 0?
-1, 0, 1
Factor -4*l**4 - 37*l**2 + 38*l**2 + 3*l**4.
-l**2*(l - 1)*(l + 1)
Factor -1088/7*m**2 + 0 - 2/7*m**5 + 64/7*m**4 - 578/7*m - 444/7*m**3.
-2*m*(m - 17)**2*(m + 1)**2/7
Let q(s) be the third derivative of -s**6/60 - 2*s**5/5 + s**4/12 + 4*s**3 - 