(x) be the third derivative of -39*x**2 + 0*x - 1/17*x**4 + 0 - 12/17*x**3 - 1/510*x**5. Factor n(p).
-2*(p + 6)**2/17
Let a be 44/(-10) + 4/10. Let l(n) = -n - 1. Let t be l(a). Let -1/3*r**t + 1/3 + 1/3*r - 1/3*r**2 = 0. What is r?
-1, 1
Let v be (4/5)/(6/105). Factor 3 - 15*p - 3*p**2 + v + 3 - 2.
-3*(p - 1)*(p + 6)
Let v(h) = 6*h**2 + 69*h - 126. Let o(w) = -w**2. Let k(y) = -9*o(y) - v(y). Factor k(n).
3*(n - 21)*(n - 2)
Let b(p) be the third derivative of 0 + 0*p**4 - 22*p**2 - 1/2*p**5 + 0*p - 1/24*p**6 + 0*p**3. Find z such that b(z) = 0.
-6, 0
Suppose 7 - 215 = -31*s + 5*s. Factor 100/3 + 4/3*g**4 - 32/3*g**3 + s*g**2 + 160/3*g.
4*(g - 5)**2*(g + 1)**2/3
Let o(j) be the third derivative of j**6/900 + j**5/90 + 2*j**4/45 + 4*j**3/45 - j**2 - 20. Factor o(m).
2*(m + 1)*(m + 2)**2/15
Factor 0*a + 2/3*a**3 + 0*a**2 + 0 - 2/3*a**5 + 0*a**4.
-2*a**3*(a - 1)*(a + 1)/3
Let j be ((-9)/117)/((-14)/26). Suppose j*t**2 + 3/7*t + 2/7 = 0. Calculate t.
-2, -1
Suppose -5*r + 43 = -32. Suppose r*c = 2*c. Factor 2/9*g + c + 2/3*g**2.
2*g*(3*g + 1)/9
Let x(o) be the first derivative of 2*o**5 - 105*o**4/4 + 85*o**3 - 235*o**2/2 + 75*o - 50. Determine q, given that x(q) = 0.
1, 15/2
Let q(i) = i**3 - 3*i**2 - i. Let a be q(4). Let -k - 25 + a*k**2 - 13*k**2 + 3*k - 12*k = 0. Calculate k.
-5
Let v(k) be the third derivative of k**6/240 - 11*k**5/120 - 5*k**4/6 - 7*k**3/3 - 205*k**2. Factor v(l).
(l - 14)*(l + 1)*(l + 2)/2
Suppose 0 = p + p, -2*y - 3*p = 18. Let f be (y/5)/(6/(-12)). Suppose f*i**3 - 4/5*i**4 - 4/5 + 18/5*i - 28/5*i**2 = 0. What is i?
1/2, 1, 2
Factor -3 - 9/4*a + 3/4*a**2.
3*(a - 4)*(a + 1)/4
Let q(w) be the first derivative of 2*w**3/15 + 3*w**2/5 - 350. Solve q(t) = 0.
-3, 0
Let v be (9 - (-616)/(-70)) + 7/(-36). Let h(a) be the third derivative of 5*a**2 + 0*a + v*a**5 + 0*a**4 + 0*a**3 + 1/360*a**6 + 0. What is r in h(r) = 0?
-1, 0
Suppose 5*v + 37 = -2*z + 30, z = -5*v - 11. What is j in -6/11*j**z - 20/11*j**3 + 6/11 + 0*j**2 + 20/11*j = 0?
-3, -1, -1/3, 1
Let r(y) = -16*y**2 - 36*y - 43. Let n(t) = -5*t - 7*t - 5 - 9 - 5*t**2. Let u(h) = 7*n(h) - 2*r(h). Let u(b) = 0. Calculate b.
-2
Let u(k) be the first derivative of 10/3*k - 2/9*k**3 + 12 + 4/3*k**2. Solve u(q) = 0.
-1, 5
Factor 222*c + 4*c**2 - 226*c + 2*c**3 - 2*c**2.
2*c*(c - 1)*(c + 2)
Let s(p) be the second derivative of 5*p**5/8 - 245*p**4/2 + 28615*p**3/4 + 17405*p**2/2 + 177*p - 2. Let s(q) = 0. What is q?
-2/5, 59
Solve 101/3*m - 20/3*m**2 - 5/3 = 0 for m.
1/20, 5
Let f = 647 + -647. Let q(x) be the third derivative of -1/96*x**4 + 1/480*x**6 + 0*x**3 - 1/240*x**5 + 12*x**2 + 0 + 1/840*x**7 + f*x. Factor q(u).
u*(u - 1)*(u + 1)**2/4
Let d(b) = -2*b**2 - 7*b - 2. Let i be d(-3). Let o be (-8 - i)*55/(-30). Suppose -45/2*z**3 + 0 + o*z**4 - 9/2*z**5 + 27/2*z**2 - 3*z = 0. What is z?
0, 2/3, 1
Let s(f) be the first derivative of 0*f**2 + 6 + 2/11*f + 0*f**4 + 2/55*f**5 - 4/33*f**3. What is j in s(j) = 0?
-1, 1
Let m = 2437/6460 + -3/340. Let r = m - -17/57. Factor -r*f**3 - 2/3*f**2 + 2/3*f + 2/3*f**4 + 0.
2*f*(f - 1)**2*(f + 1)/3
Suppose 9 = 5*t - 1. Factor 9*p - 11*p**2 + 19*p**2 - 11*p**t.
-3*p*(p - 3)
Find f, given that 6*f - 2/9*f**3 + 0 + 4/3*f**2 = 0.
-3, 0, 9
Let j(v) = -v**3 + 10*v**2 + 27*v - 24. Let x be j(11). Let t = x + -149. Suppose -14/9*f**2 - 2/9*f**t - 10/3*f - 2 = 0. Calculate f.
-3, -1
Let q(x) be the first derivative of x**6/60 + x**5/5 + x**4 + 8*x**3/3 + 5*x**2/2 + 4. Let b(h) be the second derivative of q(h). Factor b(k).
2*(k + 2)**3
Let v(c) = -2*c**2 - c. Let o be v(-1). Let h be ((-12)/(-8))/(o/(-4)). Suppose -q**3 + q + 0*q + 8*q**2 - 1 - q**2 - h*q**2 = 0. Calculate q.
-1, 1
Let n(j) be the third derivative of -1/4*j**5 + 5/2*j**3 + 1/24*j**6 - 11*j**2 + 0 - 5/24*j**4 + 0*j. Factor n(m).
5*(m - 3)*(m - 1)*(m + 1)
Factor 4/9 + 4*d**2 + 10/3*d.
2*(3*d + 2)*(6*d + 1)/9
Let v(t) be the third derivative of t**5/30 - 11*t**4/12 - 4*t**3 + 5*t**2 - 5*t. Factor v(g).
2*(g - 12)*(g + 1)
Let h = -13 - -19. Let a(c) = c**5 - 8*c**4 + 7*c**3 + 6. Let d(p) = -3*p**5 + 23*p**4 - 20*p**3 - 17. Let i(f) = h*d(f) + 17*a(f). Find k, given that i(k) = 0.
0, 1
Let p(b) be the first derivative of -b**9/1512 + b**7/420 + 11*b**3/3 - 9. Let f(r) be the third derivative of p(r). Solve f(i) = 0 for i.
-1, 0, 1
Let j(b) = -2*b**4 + 19*b**3 + 5*b**2 - 16*b - 3. Let i(l) = 10*l**4 - 94*l**3 - 24*l**2 + 80*l + 14. Let g(r) = -6*i(r) - 28*j(r). Let g(o) = 0. What is o?
-1, 0, 1, 8
Let v = -8 - 18. Let g be 16/((-3120)/(-9)) - 4/v. Let 0 - 4/5*m + g*m**2 = 0. What is m?
0, 4
Let d(f) be the second derivative of -4*f**7/273 + 7*f**6/65 - 29*f**5/130 + f**4/13 + 175*f. Suppose d(q) = 0. What is q?
0, 1/4, 2, 3
Let g be -3*(-8)/(-18)*-6. Factor -24*r + r**2 + g*r + 12*r + r**2.
2*r*(r - 2)
Let f(p) = 59*p - 177. Let n be f(3). Let y(s) be the second derivative of 0*s**2 + n*s**3 + 1/12*s**4 - 7*s + 0 + 1/20*s**5. Factor y(q).
q**2*(q + 1)
Let q(x) = 45*x + 363. Let o be q(-8). Let h(t) be the first derivative of 8 + 2/3*t + 5/12*t**4 - 5/6*t**2 - t**o + 7/15*t**5. What is n in h(n) = 0?
-1, 2/7, 1
Let o(c) be the second derivative of 1/42*c**3 + 0 - 4*c + 0*c**2 + 1/28*c**4. Find z such that o(z) = 0.
-1/3, 0
Let n(y) be the third derivative of -2*y**7/105 + 2*y**6/5 - 3*y**5 + 25*y**4/3 + 45*y**2. Solve n(v) = 0.
0, 2, 5
Let o(j) be the third derivative of j**7/70 + 9*j**6/40 - 21*j**5/20 + 11*j**4/8 + 3*j**2 + j. Factor o(d).
3*d*(d - 1)**2*(d + 11)
Factor -12/7 - 306/7*r**2 + 54/7*r**4 + 106/7*r + 270/7*r**3.
2*(r + 6)*(3*r - 1)**3/7
Let h(w) be the second derivative of w**4/42 + 13*w**3/21 + 36*w**2/7 - 84*w. Factor h(o).
2*(o + 4)*(o + 9)/7
Let m(i) = 13*i**4 - 65*i**3 + 84*i**2 + 254*i - 274. Let v(s) = 140*s**4 - 715*s**3 + 925*s**2 + 2795*s - 3015. Let k(x) = 65*m(x) - 6*v(x). Solve k(u) = 0.
-14, -2, 1, 2
Let l(b) be the first derivative of b**6/105 + b**5/35 - 15*b - 5. Let n(r) be the first derivative of l(r). Find q such that n(q) = 0.
-2, 0
Let t = 78/223 + 1238/1561. Find b such that t*b + 0 + 0*b**2 + 36/7*b**4 - 10/7*b**5 - 34/7*b**3 = 0.
-2/5, 0, 1, 2
Let 128/7*g**2 + 20/7*g**4 + 2/7*g**5 + 74/7*g**3 + 104/7*g + 32/7 = 0. Calculate g.
-4, -2, -1
Let m(r) = 7*r**2 - 97*r + 25. Let w(y) = 28*y**2 - 292*y + 74. Let q(u) = 10*m(u) - 3*w(u). Factor q(c).
-2*(c + 7)*(7*c - 2)
Determine r so that -65/2*r**3 - 25/4*r**2 - 169/4*r**4 + 0 + 0*r = 0.
-5/13, 0
Let b(t) = 2*t**2. Let j = 7 - 10. Let d be b(j). Factor d - 18 + 3*i - 3*i**3.
-3*i*(i - 1)*(i + 1)
Let p(a) be the second derivative of 3*a**5/160 + 31*a**4/32 + 15*a**3/8 + a + 62. Factor p(m).
3*m*(m + 1)*(m + 30)/8
Let p be ((-5)/2)/((-3)/12). Let x = -7 + p. Factor 35*g**x - 4*g**2 + 3*g**2 - 11*g**3 - 36*g**4 - 3*g**2.
-4*g**2*(3*g - 1)**2
Let d(l) = l**2 - 8*l + 9. Let c be d(7). Let p(m) = -3 + m**2 + 5*m**2 + c + m**2. Let o(v) = -v**2. Let w(t) = -6*o(t) - p(t). Find n such that w(n) = 0.
-1, 1
Let j(h) = 2*h**3 + 37 - 3*h**3 - 11*h - 13*h**2 - 21. Let i be j(-12). Find x such that 8/3 - 2*x**2 - 8/3*x + 8/3*x**3 - 2/3*x**i = 0.
-1, 1, 2
Determine q, given that -2/3*q**3 - 100/3*q + 0 + 10*q**2 = 0.
0, 5, 10
Let q(r) be the first derivative of 0*r**3 - 2/25*r**5 + 3/10*r**4 + 1 + 0*r - 4/5*r**2. Solve q(d) = 0.
-1, 0, 2
Let a be 57/114*(-4)/(-3). Find t such that -a*t**2 - 4 + 10/3*t = 0.
2, 3
Suppose 3*c = 4 - 7. Let r be ((-5 - -3)/6)/(c/4). Solve -r - 2/3*i + 4/3*i**2 + 2/3*i**3 = 0 for i.
-2, -1, 1
Let a(p) be the second derivative of 0*p**4 + 0 - 8*p + 0*p**3 - 1/110*p**5 + 0*p**2. Suppose a(i) = 0. What is i?
0
Suppose 11*j + 284 = 82*j. Solve -8/7 - 218/7*k**2 + 72/7*k - 14*k**j + 36*k**3 = 0 for k.
2/7, 1
Find d, given that 0 + 2/11*d**2 + 2/11*d = 0.
-1, 0
Let o(f) be the third derivative of 9*f**2 + 0*f - 1/9*f**3 + 0 - 1/18*f**4 - 1/90*f**5. Factor o(d).
-2*(d + 1)**2/3
Suppose 1933*m + 2*u = 1932*m + 6, 3*u - 11 = -2*m. Factor -7/3*n**4 - 4/3*n + 3*n**3 + m*n**2 + 0.
-n*(n - 2)*(n + 1)*(7*n - 2)/3
Let p(b) be the second derivative of -b**5/510 + 5*b**4/102 - 25*b**3/51 + 3*b**2/2 - 6*b. Let c(s) be the first derivative of p(s). What is u in c(u) = 0?
5
Let 3/7*o**4 - 390/7*o + 396/7*o**2 - 138/7*o**3 + 129/7 = 0. What is o?
1, 43
Factor -58956/7*b + 250563/7 + 3/7*b**4 + 5202/7*b**2 - 2