rd derivative of -9*t**7/70 - 51*t**6/10 + 509*t**5/20 - 99*t**4/2 + 50*t**3 - 413*t**2. Solve h(s) = 0.
-25, 2/3, 1
Let n(w) be the first derivative of -5*w**4/4 + 245*w**3/3 - 475*w**2/2 + 235*w + 121. Factor n(o).
-5*(o - 47)*(o - 1)**2
Let w = 4507/1051 - 19/7357. Factor -w*q + 3/7*q**2 + 72/7.
3*(q - 6)*(q - 4)/7
Factor -255/4*u + 5/4*u**3 + 55/2*u**2 - 90.
5*(u - 3)*(u + 1)*(u + 24)/4
Determine x so that -64/3*x + 2/3*x**2 - 152 = 0.
-6, 38
Let d(q) be the third derivative of -3*q - 1/140*q**6 - 5/28*q**4 + 42*q**2 + 0*q**3 + 13/140*q**5 - 1/490*q**7 + 0. Factor d(h).
-3*h*(h - 2)*(h - 1)*(h + 5)/7
Let p(r) be the first derivative of -4*r**3 - 23*r**2/2 - 47*r - 18. Let s(g) = -g**2 - g - 1. Let m = -35 + 33. Let z(u) = m*p(u) + 22*s(u). Factor z(y).
2*(y + 6)**2
Let g be 42/(-12)*(-84)/(-49)*(-36)/24. Let p = 1/15 - -43/30. Factor 27/2 + p*u**2 + g*u.
3*(u + 3)**2/2
Let c(t) = 4726*t + 94522. Let k be c(-20). Factor 13/3*m**3 + 0 + 3*m**k - 4/3*m.
m*(m + 1)*(13*m - 4)/3
Let j = -3686/7 + 526. Let h = j + 108/91. Factor 16/13*y + 10/13*y**2 + 2/13*y**3 + h.
2*(y + 1)*(y + 2)**2/13
Let p(a) be the third derivative of -13/480*a**5 + 0 + 0*a**3 + 0*a - 1/16*a**4 - 35*a**2 - 1/960*a**6. Factor p(l).
-l*(l + 1)*(l + 12)/8
Suppose -10*i + 54 = 11*i + 6*i. Determine c so that -5*c**i - 17/8*c - 2*c**3 - 1/4 = 0.
-2, -1/4
Let x(j) be the third derivative of -j**5/510 + 26*j**4/17 - 311*j**3/51 - 4*j**2 + 22*j - 2. Factor x(l).
-2*(l - 311)*(l - 1)/17
Let r be (2 + -1)/(214/(-16371)*-204). Factor 39/8*y + r*y**2 - 21/4.
3*(y - 1)*(y + 14)/8
Let u(r) be the first derivative of r**6/270 + 11*r**5/360 + r**4/12 - 32*r**3 + 2*r - 14. Let a(w) be the third derivative of u(w). Find p such that a(p) = 0.
-2, -3/4
Suppose 6*s - 15 = -3. Suppose b + 2 = s*h, h - 10 - 2 = -5*b. Suppose 2*w**4 + 25*w - 75*w + 18*w**3 + 8*w**2 + 22*w**b = 0. What is w?
-5, 0, 1
Let u(a) = -2*a**2 + 15*a + 14. Let o be u(8). Let f be 2/8 - ((-714)/120 + o). Factor f*j + 1/5*j**2 + 0.
j*(j + 1)/5
Let o(m) be the first derivative of -24*m - 2/5*m**5 + 4*m**2 + 0*m**4 + 43 + 6*m**3. Let o(i) = 0. Calculate i.
-2, 1, 3
Solve -1/2*r**4 + 0 - 8*r**3 + 36*r - 55/2*r**2 = 0 for r.
-9, -8, 0, 1
Suppose -1 + 21 = 10*m. Suppose -9*o + 7*o = 3*w - 3, -w = m*o + 3. Factor 0*y - 2/5*y**2 + 0 - 2/5*y**w.
-2*y**2*(y + 1)/5
Let x(m) be the first derivative of 40*m**2 - 16*m + 68/3*m**3 - 42 + 22/3*m**6 - 52/5*m**5 - 31*m**4. Suppose x(u) = 0. Calculate u.
-1, 2/11, 1, 2
Let y be (-8)/(-6)*(-33)/((-1716)/26). Let d(s) be the first derivative of 0*s + 0*s**2 - 64/3*s**3 + 30 + 28/5*s**5 + y*s**6 + 8*s**4. What is u in d(u) = 0?
-4, 0, 1
Factor 0 + 369/4*p**3 + 9/2*p + 177/4*p**2.
3*p*(3*p + 1)*(41*p + 6)/4
Suppose 59*h = 58*h + 14523. Let o = -101371/7 + h. Factor 325/7*p + 17/7*p**4 + 1/7*p**5 + 125/7 + 106/7*p**3 + o*p**2.
(p + 1)**2*(p + 5)**3/7
Solve 96/5 - 14/5*x**2 - 218/5*x = 0 for x.
-16, 3/7
Let g(m) = -m**3 - 32*m**2 - 251*m - 71. Let j be g(-19). Let b(i) be the first derivative of j*i - 2*i**2 - 1/3*i**3 - 11. Factor b(r).
-(r - 1)*(r + 5)
Let z be (0 - 1)*(9 + -4*905/400). Let f(r) be the third derivative of -z*r**4 + 0*r + 0 - r**2 + 2/5*r**3 - 1/50*r**5. Factor f(i).
-6*(i - 1)*(i + 2)/5
Suppose -235/4*c - 17 + 21/8*c**2 = 0. What is c?
-2/7, 68/3
Let k = 9826 + -1120163/114. Let h(s) be the second derivative of 0*s**3 + k*s**4 - 25*s - 1/19*s**2 + 0. Factor h(m).
2*(m - 1)*(m + 1)/19
Let a = 335 - 332. Factor 17*m**2 + 14*m - 3*m**a + m**2 + 34*m.
-3*m*(m - 8)*(m + 2)
Suppose -215*y = 30*y + 62*y - 614. Let j(n) be the second derivative of 1/48*n**4 - 1/12*n**3 + 0*n**y - 11 - 2*n. Factor j(l).
l*(l - 2)/4
Let m(n) be the second derivative of -n**4 - 262*n**3/3 + 88*n**2 + 3*n + 14. Factor m(x).
-4*(x + 44)*(3*x - 1)
Suppose 0 = -8*r + 542 - 206. Factor 15*q - r + 11*q + 20*q + 5*q**2 - 6*q - 3*q**2.
2*(q - 1)*(q + 21)
Let l(j) be the first derivative of 3*j**5/20 + 49*j**4/32 + 67*j**3/12 + 129*j**2/16 + 9*j/4 + 9203. Factor l(d).
(d + 2)*(d + 3)**2*(6*d + 1)/8
Let r = -118 + 58. Let u = -58 - r. Factor 19 + 10*z + u*z**2 - 8 - 23.
2*(z - 1)*(z + 6)
Let p = 31853/9801 + 1/39204. Factor -135/4*f + 27 + 1/4*f**4 - p*f**3 + 63/4*f**2.
(f - 4)*(f - 3)**3/4
Suppose -5*z = -5, 5*l - 8 = 4*l + 4*z. Suppose 2*s + 16*d - 14*d = l, -5*d + 27 = 4*s. Let h**2 + 0 + 1/4*h**s + 0*h = 0. Calculate h.
-4, 0
Suppose 4*n = 3*y + 8, 2*y + 0*y + 8 = 4*n. Let 4*q**5 + y*q**5 + q**5 = 0. What is q?
0
Suppose -4*w = -4*k + 4, -5*k - 3*w + 5 = -24. Let d be (-100)/(-21) - 600/450. Factor k*p**2 + d + 92/7*p.
4*(p + 3)*(7*p + 2)/7
Let x(b) be the second derivative of 16*b + 9/80*b**5 + 15/4*b**2 - 1 - 49/24*b**3 + 1/120*b**6 + 3/16*b**4. Factor x(a).
(a - 1)**2*(a + 5)*(a + 6)/4
Let a(p) = -p**2 + 986*p - 3926. Let j be a(4). Suppose 2*f = 3*q + 2, -2 = -5*q - 5*f + 3. Let 0*i**j + q + 8/3*i**3 + 4/3*i**4 + 0*i = 0. What is i?
-2, 0
Determine n, given that -6/7*n**3 + 0*n - 39/7*n**4 + 3*n**5 + 0*n**2 + 0 = 0.
-1/7, 0, 2
Let z = -1357803/17 - -79871. Factor -2/17*l**5 - 6/17*l**4 + z*l**2 - 4/17*l**3 + 6/17*l + 2/17.
-2*(l - 1)*(l + 1)**4/17
Let d(w) be the second derivative of 5*w**7/84 + 17*w**6/15 - 7*w**5/10 - 1603*w. Solve d(i) = 0.
-14, 0, 2/5
Let m(t) be the third derivative of -t**5/240 - 575*t**4/96 + 24*t**3 - 4912*t**2 + 1. Factor m(d).
-(d - 1)*(d + 576)/4
Factor -2637/2*c + 5/2*c**2 + 527.
(c - 527)*(5*c - 2)/2
Factor 7/5*s**2 + 18/5*s - 9/5.
(s + 3)*(7*s - 3)/5
Let k(m) be the third derivative of 15*m**8/56 + 1367*m**7/105 - 72*m**6/5 + 62*m**5/15 + 20*m**2 + 28*m - 2. Solve k(z) = 0 for z.
-31, 0, 2/9, 2/5
Let d be (-414)/(-24) + -6 - 3/(-4). Suppose -2*f = -4*s + d, 3*f - 9 = 4*s - 7*s. Factor 0 + f*l + 3/4*l**4 - 3/2*l**2 + 3/4*l**3.
3*l**2*(l - 1)*(l + 2)/4
Let a(m) be the second derivative of -m**5/4 + m**4/3 + 679*m**3/6 - 1617*m**2 + 6020*m. Let a(z) = 0. Calculate z.
-66/5, 7
Let y(t) be the second derivative of 2*t + 4*t**3 - 11 + 1/3*t**4 + 10*t**2. Find p such that y(p) = 0.
-5, -1
Factor 189/8*a - 3/8*a**2 - 177/2.
-3*(a - 59)*(a - 4)/8
Let z = 268 + -265. Find q, given that 5*q**2 - 36*q**3 + 25*q**4 - z*q - 7*q - 5*q**5 - 9*q**3 + 30*q**2 = 0.
0, 1, 2
Let m = -53 - -91. Suppose -2 = 37*y - m*y. Suppose 25/4*h**y - 5 - 5/4*h**4 + 0*h + 0*h**3 = 0. What is h?
-2, -1, 1, 2
Let v(x) be the third derivative of -x**8/420 + 8*x**7/105 - 32*x**6/45 - 2*x**3 + 58*x**2. Let d(n) be the first derivative of v(n). Factor d(l).
-4*l**2*(l - 8)**2
Let k(g) be the third derivative of -g**5/132 - 1643*g**4/66 - 438*g**3/11 - 10184*g**2. Factor k(z).
-(z + 1314)*(5*z + 2)/11
Let c be (1/1 + -3)*(-12)/8. Let i(o) be the third derivative of 0*o + 1/4*o**4 + 0 - 1/15*o**5 - 1/3*o**c - o**2. Solve i(u) = 0.
1/2, 1
Find i such that -8/13*i**2 - 1798/13*i + 450/13 = 0.
-225, 1/4
Let u(i) be the second derivative of 6*i**6/5 - 186*i**5/5 + 1417*i**4/3 - 9424*i**3/3 + 11552*i**2 + 14242*i. Factor u(b).
4*(b - 4)**2*(3*b - 19)**2
Let b(h) = -20*h**3 + 1488*h**2 + 369026*h + 30505986. Let c(v) = 31*v**3 - 1488*v**2 - 369027*v - 30505987. Let j(x) = -3*b(x) - 2*c(x). Factor j(d).
-2*(d + 248)**3
Let s(u) be the third derivative of u**5/300 - 863*u**4/20 + 2234307*u**3/10 - 49*u**2 + 23*u - 1. Factor s(o).
(o - 2589)**2/5
Let v(c) be the third derivative of c**5/300 + c**4/4 + 28*c**3/15 + 42*c**2 - 3*c - 46. Solve v(d) = 0 for d.
-28, -2
Let a be ((-4)/18 + 4727/3654)*40/25. Factor 2/7*b**4 - a*b + 0 + 22/7*b**2 - 12/7*b**3.
2*b*(b - 3)*(b - 2)*(b - 1)/7
Suppose 148 + 48 = 28*v. Let d be 16/v + 7*(-18)/441. Factor 24/7*a - 72/7 - 2/7*a**d.
-2*(a - 6)**2/7
Suppose -48*q + 36 = -30*q. Let t be 288/(-1008)*-1*(q - 1). Suppose -32/7 - 16/7*v**3 + t*v**4 + 30/7*v**2 + 16/7*v = 0. What is v?
-1, 1, 4
Let x be ((-52)/(-1716))/(27/810). Solve -4/11 + x*i - 8/11*i**2 + 2/11*i**3 = 0.
1, 2
Let w(p) be the second derivative of p**4/54 + 161*p**3/27 + 160*p**2/9 - 922*p + 1. Factor w(g).
2*(g + 1)*(g + 160)/9
Suppose -5*t + 1902 = -513. Let y = t - 8209/17. Factor 8/17*i - y*i**2 - 8/17.
-2*(i - 2)**2/17
Let b(v) be the second derivative of v**7/42 - 11*v**6/50 + 14*v**5/25 - v**4/5 - 8*v**3/15 + 39*v. Determine a, given that b(a) = 0.
-2/5, 0, 1, 2, 4
Let o(t) be the second derivative of 0 - 41*t + 1/21*t**4 