t 53/3*x**3 + 14/3*x**4 + 1/3*x**5 - 68*x + 48 - 8/3*x**2 = 0.
-6, -4, 1
Let r(v) = -v**3 - 38*v**2 - 18*v - 682. Let b be r(-38). Let 0 - 4/7*l - 2/7*l**b = 0. What is l?
-2, 0
Let x(z) be the second derivative of -2*z**6/45 - z**5/3 - 7*z**4/9 - 2*z**3/3 - 8*z + 25. Let x(m) = 0. Calculate m.
-3, -1, 0
Let n(o) be the second derivative of -o**4/36 + 11*o**3/18 - 5*o**2 - 339*o. Factor n(g).
-(g - 6)*(g - 5)/3
Let l(k) be the second derivative of -10*k + 0 + 35/6*k**3 + 5/6*k**4 - 7/4*k**5 - 5*k**2. Factor l(v).
-5*(v - 1)*(v + 1)*(7*v - 2)
Let u(p) be the third derivative of 0*p + 0 + 1/270*p**5 - 2/9*p**3 - 3*p**2 + 1/108*p**4. Factor u(c).
2*(c - 2)*(c + 3)/9
Let b(t) be the second derivative of t**5/45 - 2*t**4/9 + 2*t**3/3 + 4*t - 3. Suppose b(d) = 0. Calculate d.
0, 3
Let i(m) be the third derivative of 0*m**3 + 0 + 0*m**4 + 0*m - 2/105*m**7 - 4*m**2 - 1/3*m**5 + 1/5*m**6. Let i(a) = 0. What is a?
0, 1, 5
Let q(y) be the second derivative of y**7/10080 - y**6/720 + y**5/160 - 3*y**4/4 - 5*y. Let m(p) be the third derivative of q(p). What is o in m(o) = 0?
1, 3
Let a = -2091 - -2093. Find j such that 8/17*j**a + 4/17 - 2/17*j**3 - 10/17*j = 0.
1, 2
Suppose 4*x = -r - 10, 5*r = 33*x - 30*x + 19. Let y(f) be the second derivative of 1/8*f**4 - 3/2*f**r + 0 - 5*f + 1/4*f**3. Determine p, given that y(p) = 0.
-2, 1
Let t be ((-12)/8*-4)/2. Let v(o) be the first derivative of t*o - 3 + 0*o**3 - 5 - o**3 + 1. Let v(i) = 0. What is i?
-1, 1
Let w(f) = 24*f - 236. Let a be w(10). Let m(n) be the first derivative of 0*n - 5 + 4/21*n**3 + 0*n**2 + 2/21*n**6 + 3/7*n**a + 12/35*n**5. Factor m(g).
4*g**2*(g + 1)**3/7
Let z(p) = 15*p - 3*p**2 + 7 - 2 - 6*p - 3*p**2. Let t(m) = m - 1. Let a be 1 - ((-1)/(-1) + 2). Let v(n) = a*z(n) - 2*t(n). Solve v(w) = 0.
-1/3, 2
Let g(k) be the third derivative of -1/42*k**4 + 3/70*k**6 + 0 + 25*k**2 + 1/294*k**8 + 1/14*k**3 - 29/1470*k**7 - 1/30*k**5 + 0*k. Solve g(a) = 0.
-3/8, 1
Let t(g) = 4*g**3 - g**2 - 16*g - 11. Let c be (-9)/18 + (-5)/(-2). Let o(w) = 2*w**3 - 8*w - 6. Let m(l) = c*t(l) - 5*o(l). What is j in m(j) = 0?
-2, -1, 2
Let d(g) = g**3 - 2*g**2 + 2*g - 3. Let n be d(3). Suppose 4*x - 4 = n. Find l, given that -60*l**3 + 5*l + 28*l**2 + 36*l**x - l - 8*l = 0.
0, 1/3, 1
Let p(w) be the third derivative of -w**9/5040 - w**8/700 - w**7/280 - w**6/300 + 3*w**3/2 - 13*w**2. Let u(t) be the first derivative of p(t). Solve u(f) = 0.
-2, -1, 0
Suppose 0*b = 5*b - 10. Factor 27 + 2*j**b + 0*j**2 - 13 - 12 + 4*j.
2*(j + 1)**2
Let z(v) = -v**2 + 14*v + 10. Let l be z(16). Let c = l + 26. Factor -7*j**4 - 8*j**4 - 4 - 9*j**4 + 20*j**c + 8*j**2.
-4*(j - 1)**2*(j + 1)**2
Let w(l) be the first derivative of 4/35*l**5 + 3/14*l**4 - 8/21*l**3 + 0*l + 28 - 1/21*l**6 - 4/7*l**2. Solve w(u) = 0.
-1, 0, 2
Let o(r) = r**2 - 11*r + 38. Let f be o(4). Suppose -f*w - 13*w = -69. Solve 0*s**4 + 1/4*s**w + 0*s**2 - 1/4*s**5 + 0 + 0*s = 0 for s.
-1, 0, 1
Let y(p) be the second derivative of -p**7/14 + 3*p**6/10 + 27*p**5/20 + 5*p**4/4 + p - 94. Factor y(u).
-3*u**2*(u - 5)*(u + 1)**2
Suppose 0 = 2*p - 10, -2*n + 25 = -0*n + 3*p. Let b(h) be the third derivative of 0*h**4 + 1/150*h**n + 5*h**2 - 1/15*h**3 + 0*h + 0. Factor b(u).
2*(u - 1)*(u + 1)/5
Suppose -4*k = -20, -k + 367 = -5*u + 32. Let r = u + 69. Suppose 280/3*z - 20 + 145/3*z**2 - 1085/3*z**4 - 245/3*z**5 - 345*z**r = 0. Calculate z.
-3, -1, 2/7
Let b = 34 - 14. Let z(l) = 2*l**3 + 11*l**2 + 10*l + 1. Let w(d) = -6*d**3 - 34*d**2 - 30*d - 2. Let o(k) = b*z(k) + 6*w(k). Factor o(r).
4*(r + 1)**2*(r + 2)
Let h(l) = -l**2 - l + 2. Let t(s) = -2*s**2 + s + 2. Let v(r) = -h(r) + t(r). Factor v(a).
-a*(a - 2)
Determine m, given that -3/5*m**4 - 339/5*m**2 + 882/5 - 483/5*m - 57/5*m**3 = 0.
-7, -6, 1
Let j(k) be the third derivative of 1/24*k**6 + 0*k**3 + 0*k**4 + 1/12*k**5 + 0*k + 36*k**2 + 0. Let j(a) = 0. What is a?
-1, 0
Let q be 2 + (-8 - -3 - -7). Let r(s) be the third derivative of 2/9*s**3 + 1/180*s**6 + 0 - 1/30*s**5 + 2*s**2 + 0*s - 1/36*s**q + 1/315*s**7. Solve r(c) = 0.
-2, -1, 1
Let l(w) be the second derivative of 1/6*w**2 + 0 - 5*w + 1/6*w**4 + 7/18*w**3. Find y such that l(y) = 0.
-1, -1/6
Let w(a) = -a**3. Let l(j) = 5*j**3 + j**2 - 2*j. Let z(r) = 5*l(r) + 20*w(r). Factor z(f).
5*f*(f - 1)*(f + 2)
Let s(u) be the first derivative of 140*u**4 - 80*u + 135/2*u**6 - 520*u**3 + 279*u**5 + 12 - 360*u**2. Solve s(d) = 0 for d.
-2, -2/9, 1
Let d(g) be the third derivative of 0*g - 8*g**2 + 0*g**3 + 3/4*g**4 + 0 - 1/20*g**5. Suppose d(q) = 0. Calculate q.
0, 6
Let o(u) be the third derivative of u**5/30 - 4*u**4/3 + 64*u**3/3 + 70*u**2. Suppose o(v) = 0. What is v?
8
Let v(z) be the first derivative of 9*z**5/5 + 3*z**4 - 7*z**3 - 6*z**2 + 12*z - 142. Find i, given that v(i) = 0.
-2, -1, 2/3, 1
Suppose -5*l + 1 = 16. Let c(v) = -30*v**4 + 48*v**3 - 12*v**2 - 10*v. Let y(n) = 31*n**4 - 48*n**3 + 12*n**2 + 11*n. Let m(d) = l*c(d) - 2*y(d). Factor m(o).
4*o*(o - 1)**2*(7*o + 2)
Let n(o) = -153*o**3 - 681*o**2 - 340*o + 1147. Let s(j) = 76*j**3 + 340*j**2 + 170*j - 574. Let u(k) = 4*n(k) + 9*s(k). Factor u(f).
2*(f - 1)*(6*f + 17)**2
Determine k so that 1088/11*k + 224/11*k**3 + 34/11*k**4 + 640/11 + 712/11*k**2 + 2/11*k**5 = 0.
-5, -4, -2
Let p = 5 + -1. Let u(s) = -s**3 + 5*s**2 + 3*s - 13. Let h be u(5). Determine k so that h*k**3 - 52*k**2 + 22*k**3 - 4*k**p - 5 - 11 + 48*k = 0.
1, 2
Let j = -476/3 - -162. Let n(g) be the second derivative of j*g**3 + 4*g**2 + g**4 + 0 + 8*g. Solve n(t) = 0.
-1, -2/3
Let z(s) = s**3 + 13*s**2 - 18*s - 5. Let p be z(-14). Let 240*u - 61 - p*u**2 + 28 + 3*u**3 - 159 = 0. What is u?
1, 8
Let d(b) be the second derivative of -1/21*b**4 - 8*b + 0 + 0*b**2 - 2/21*b**3. Let d(i) = 0. Calculate i.
-1, 0
Let y(q) be the second derivative of -q**7/280 + q**6/120 - q**3/2 - 11*q. Let t(l) be the second derivative of y(l). Suppose t(n) = 0. Calculate n.
0, 1
Factor 8 - 23 + 9*f**3 - 6*f**2 - 36*f + 39 + 0*f**2.
3*(f - 2)*(f + 2)*(3*f - 2)
Let x(n) be the first derivative of -3*n**4/4 + n**3 + 24*n**2 - 48*n + 236. Find g, given that x(g) = 0.
-4, 1, 4
Let c(g) = -8*g + 188. Let f be c(23). Let s(r) be the first derivative of -2/39*r**3 + 2 + 2/13*r**2 + 0*r - 1/26*r**f. Determine j, given that s(j) = 0.
-2, 0, 1
Let b(t) be the third derivative of t**8/120 + 41*t**7/525 + 13*t**6/50 + 22*t**5/75 - 2*t**4/15 - 25*t**2 + 3. Factor b(d).
2*d*(d + 2)**3*(7*d - 1)/5
Factor -19/8*l + 1/8*l**2 - 21/4.
(l - 21)*(l + 2)/8
Solve -19/2*j**2 + 0 - 7/2*j**3 - 6*j = 0 for j.
-12/7, -1, 0
Let u = -238 - -240. Let h(j) be the second derivative of 1/48*j**4 + 0*j**u + 1/8*j**3 + 0 - 3*j. Determine x, given that h(x) = 0.
-3, 0
Let k(i) be the second derivative of 5*i + 3/4*i**4 - 3/20*i**5 + 0 + 2*i**2 + 1/80*i**6 - 2*i**3. Let n(x) be the first derivative of k(x). Factor n(z).
3*(z - 2)**3/2
Let n(c) be the second derivative of c**7/840 - c**6/120 + c**4/6 + 3*c**3/2 + 7*c. Let q(x) be the second derivative of n(x). Factor q(v).
(v - 2)**2*(v + 1)
Let u be -1*5/5 + (0 - -5). Factor -3*n**4 + 4*n**u + 107*n - 105*n - 3*n**2.
n*(n - 1)**2*(n + 2)
Let p = -195/212 + 62/53. Suppose -1 - 2*r - p*r**3 - 5/4*r**2 = 0. Calculate r.
-2, -1
Let c(l) be the third derivative of -l**5/420 - 15*l**4/28 - 675*l**3/14 - 2*l**2. Determine p so that c(p) = 0.
-45
Let a = -70 - -71. Suppose a = 3*j - 4*m, -4*m - 7 + 3 = -4*j. Solve -2/3*b**2 + 0 + 2/3*b**j + 0*b = 0.
0, 1
Let x(k) be the second derivative of -k**6/1980 + k**5/660 + k**4/66 + 5*k**3/2 + 4*k. Let a(q) be the second derivative of x(q). Factor a(u).
-2*(u - 2)*(u + 1)/11
Let d = -94 + 90. Let r(p) = -7*p - 25. Let b be r(d). Solve -b*v**2 - 15/4*v - 3/4*v**3 - 3/2 = 0.
-2, -1
Let x(k) = 2*k**3 + 3*k**2 + 2*k - 2. Let i be x(-2). Let o be (-56)/i - 3/5. Factor -2*m**o - 3*m**5 - 2*m**5 + 8*m**3 - 4*m + 3*m**5.
-4*m*(m - 1)**2*(m + 1)**2
Let c(z) be the third derivative of z**6/30 + 11*z**5/5 + 48*z**4 + 512*z**3/3 - 2*z**2 - 23*z. Factor c(g).
4*(g + 1)*(g + 16)**2
Suppose -11*u = -7*u - 172. Let x = u + -41. Factor -7/4*i**x - 1/2 + 9/4*i.
-(i - 1)*(7*i - 2)/4
Let a(s) be the first derivative of 2*s**3/3 - 24*s**2 + 288*s - 16. Determine v so that a(v) = 0.
12
Factor 45/7*v + 0 - 48/7*v**2 + 3/7*v**3.
3*v*(v -