h that i(t) = 0.
-1444
Let u(n) be the first derivative of -11*n**3 + 111*n**2/2 - 90*n + 12441. Solve u(h) = 0 for h.
15/11, 2
Suppose -16 = -4*f + 3*a, -8 = 4*f + 4*a - a. Let v be f/((-7)/(-21) - 0). Factor 5/2*h**4 + 5/2*h**v - 5/2*h**2 + 0 - 5/2*h.
5*h*(h - 1)*(h + 1)**2/2
Suppose m + 10 = -26. Let o = 39 + m. Factor 59*q**o + 9*q**3 + 160*q**4 + 2*q**2 + 6*q**2 + 64*q**5.
4*q**2*(q + 2)*(4*q + 1)**2
Let b(m) = -76 + 64 + 47 - 34*m + 17*m**2. Let q(w) = -15*w**2 + 33*w - 36. Let u(c) = -6*b(c) - 7*q(c). Determine h, given that u(h) = 0.
2, 7
Suppose -3686 = 283*u - 1045*u - 1081*u. Determine t so that 2*t - 1/6 - 11/6*t**u = 0.
1/11, 1
Let y(v) be the second derivative of v**5/50 + 73*v**4/30 + 1771*v**3/15 + 14283*v**2/5 + 10486*v. Factor y(u).
2*(u + 23)**2*(u + 27)/5
Let s be 7/((-3 + 0/(-3))/(-3)). Suppose s = -4*w + 23. What is k in 3/7*k**5 + 0*k**2 - 3/7*k**w + 0 + 0*k - 6/7*k**3 = 0?
-1, 0, 2
Let d(u) be the first derivative of -2*u**3/9 + 640*u**2/3 + 856*u - 6779. Factor d(p).
-2*(p - 642)*(p + 2)/3
Suppose 0 = -y + d + 9, -196*y - 167 = -199*y + 23*d. Factor -376/3*k**3 + 8836*k**y + 2/3*k**4 + 9759362/3 - 830584/3*k.
2*(k - 47)**4/3
Let q(i) be the second derivative of -3*i - 256/3*i**2 + 17 - 1/18*i**4 - 32/9*i**3. Factor q(f).
-2*(f + 16)**2/3
Factor -4311*m**4 - 1324780*m + 1481204*m**2 - 118117*m - m**5 + 4651*m**4 - 38646*m**3.
-m*(m - 113)**3*(m - 1)
Let c(p) be the third derivative of -p**5/80 - 3*p**4/32 + p**3/2 + 470*p**2. Factor c(g).
-3*(g - 1)*(g + 4)/4
Factor -32*x + x**4 + 2406*x**2 + 2412*x**2 + 6*x**3 + 40*x - 4833*x**2.
x*(x - 1)**2*(x + 8)
Let k(j) = -j**3 - 5*j**2 + 7*j + 11. Let u be k(-6). Suppose 2*p + u = 5*y, 7*y - 5*p + 10 = 2*y. Determine g so that 85*g - 85*g + g**3 + y*g**2 = 0.
-3, 0
Factor -77/2 - 309/4*q - 39*q**2 - 1/4*q**3.
-(q + 1)**2*(q + 154)/4
Suppose 0 = 13*j - 0*j - 26. Let l(q) = -2*q**2 + 7*q. Let g(r) = 2*r**2 - 6*r. Suppose 58*n - 62*n = -12. Let x(d) = j*l(d) + n*g(d). Solve x(b) = 0 for b.
0, 2
Let d(b) be the second derivative of 5*b**4/12 + 5*b**3/6 - 30*b**2 - 2*b - 556. Factor d(n).
5*(n - 3)*(n + 4)
Let l be ((-2)/(-4))/((-14)/17948). Let j = l - -643. Suppose 2/19*z - 6/19*z**j - 2/19*z**3 + 6/19 = 0. Calculate z.
-3, -1, 1
Let m(t) = -t**3 + 8*t**2 + t - 14. Let k be m(8). Let j(w) = 10*w**2 + 40*w + 40. Let q(i) = 13*i**2 + 40*i + 39. Let y(b) = k*j(b) + 5*q(b). Factor y(u).
5*(u - 9)*(u + 1)
Let m be 4*2 + (-483)/161. Let u(g) be the third derivative of -7*g**2 + 0*g + 1/90*g**m + 0 - 5/9*g**3 + 1/9*g**4. Factor u(t).
2*(t - 1)*(t + 5)/3
Let m(d) be the second derivative of 2*d**6/25 - 11*d**5/25 - 151*d**4/15 + 1078*d**3/15 + 392*d**2/5 + 9744*d. Determine l, given that m(l) = 0.
-7, -1/3, 4, 7
Let q(o) be the third derivative of o**5/12 + 1025*o**4/6 + 420250*o**3/3 - o**2 + 774. Factor q(p).
5*(p + 410)**2
Let g be ((-4059)/(-44))/(-9) - (-10 + -1). Factor 0 + g*o**2 + 27/4*o.
3*o*(o + 9)/4
Suppose -3 = -4*t - b, 5*t + 16*b = 18*b + 20. Solve -60 + g**4 + 81*g**3 - 36*g**3 + 175*g + g**4 - 165*g**t + 3*g**4 = 0.
-12, 1
Let n = 32990 + -131959/4. Let f(j) be the first derivative of n*j**4 - j**3 + 2*j - 1/2*j**2 + 1/5*j**5 + 32. Factor f(m).
(m - 1)**2*(m + 1)*(m + 2)
Factor -132143 + 6*n + n**2 + n + 131849.
(n - 14)*(n + 21)
Let z(b) be the third derivative of b**8/336 - b**7/210 - b**6/30 + b**5/15 + 7323*b**2. Solve z(t) = 0 for t.
-2, 0, 1, 2
Let q = 34 + -31. Factor -655*k**2 - k**4 + 655*k**2 + q*k**4.
2*k**4
Find b such that 4*b**5 + 1534*b**3 - 269 + 6164*b - 3207*b**2 - 677 - 1170 + 172*b**4 + 42*b**3 - 2593*b**2 = 0.
-23, 1
Let d = 18 + -25. Let z(m) = -2*m + 2. Let j be z(d). Factor -9*h**2 + 21*h**2 + 8*h - j*h**2.
-4*h*(h - 2)
Let p(k) be the first derivative of -2/3*k**3 - 29 + 10*k - 4*k**2. Suppose p(o) = 0. Calculate o.
-5, 1
Let w = -193051 + 193053. Determine m so that 26/11*m - 4/11*m**w - 24/11*m**3 - 12/11 + 16/11*m**4 - 2/11*m**5 = 0.
-1, 1, 6
Let f(w) be the first derivative of 11/2*w**3 - 3/10*w**5 - 78 - 3/4*w**4 + 9*w**2 - 54*w. What is c in f(c) = 0?
-3, 2
Let b(r) be the first derivative of 4/5*r - 8/5*r**2 - 241 + 3/25*r**5 + 23/15*r**3 - 7/10*r**4. Factor b(a).
(a - 2)*(a - 1)**2*(3*a - 2)/5
Let b = -62494/19 - -252655/76. Solve -13/2 + b*g + 11/4*g**2 = 0.
-13, 2/11
Let d(r) be the first derivative of -r**6/10 + 6*r**5/5 - 24*r**4/5 + 38*r**3/5 - 9*r**2/2 + 907. What is n in d(n) = 0?
0, 1, 3, 5
Let m(w) be the first derivative of 5*w**6/6 + 13*w**5 + 235*w**4/4 + 115*w**3/3 - 120*w**2 - 180*w + 2011. Suppose m(v) = 0. Calculate v.
-6, -1, 1
Let l be (-21)/((-2310)/40)*44/8. Suppose -2*c + 1 = -3*u, 2*c - 6*c + 23 = u. What is p in 5/4*p**3 + 1/4*p**c + p**4 + 0 + 1/2*p**l + 0*p = 0?
-2, -1, 0
Let p(c) be the second derivative of c**6/360 - 3*c**5/40 - 5*c**4/12 - 5*c**3/6 - 9*c**2/2 - 107*c. Let g(j) be the second derivative of p(j). Factor g(y).
(y - 10)*(y + 1)
Suppose l = 3*v - 9, 2396*v - 5*l + 15 = 2401*v. Determine o, given that 2/7*o**4 + 0 + 0*o + 8/7*o**v + 0*o**2 = 0.
-4, 0
Suppose 25 = x - 28*v + 33*v, 4*x - 36 = -4*v. Suppose -x*h = -17 + 7. Factor 4/5*t**h + 0 + 0*t + 1/5*t**3.
t**2*(t + 4)/5
Let h(r) be the first derivative of 0*r**2 + 5 + 0*r + 2/3*r**3 - 1/12*r**4. Factor h(t).
-t**2*(t - 6)/3
Suppose 48*f - 47*f + 7 = 0. Let d be 7/(-343)*f*11. What is p in -3/7*p**2 + d*p - 6/7 - 3/7*p**3 + 1/7*p**4 = 0?
-2, 1, 3
Let u(q) be the second derivative of -q**6/120 + 199*q**5/80 + 25*q**4/6 + q + 8. Suppose u(n) = 0. What is n?
-1, 0, 200
Let k(c) be the first derivative of -c**4/26 + 56*c**3/39 - 49*c**2/13 - 12*c - 922. Factor k(x).
-2*(x - 26)*(x - 3)*(x + 1)/13
Let w = -100247/6 + 16708. Let p(o) be the third derivative of -w*o**4 - 2*o**2 - 1/30*o**5 + 0 + 0*o**3 + 0*o. Factor p(l).
-2*l*(l + 2)
Find h, given that -15/4*h**2 - 11/2*h + 24 + 1/4*h**3 = 0.
-3, 2, 16
Factor 4*s**2 - 7*s**2 + 15*s**2 + 7*s**2 - s**3 - 28*s + 10*s**2.
-s*(s - 28)*(s - 1)
Let z(u) be the third derivative of -169*u**8/84 + 52*u**7/35 + 16*u**6/3 - 26*u**5/5 + 3*u**4/2 - 1453*u**2. Let z(k) = 0. What is k?
-1, 0, 3/13, 1
Let w be 0 + (-2015)/(-10)*2. Determine o, given that w*o**2 + 46*o**3 + 38*o**3 - 395*o**2 = 0.
-2/21, 0
Factor 1/2*o**2 - 23/2*o - 25.
(o - 25)*(o + 2)/2
Let x be -4 - (-78)/21 - 4/(-14). Suppose u - 40 = -4*u + 3*h, -4*u - 3*h + 59 = x. Factor -6*l + u*l + 15*l**2 - 10*l**2.
5*l*(l + 1)
Let p(k) be the first derivative of -k**5/4 - 5*k**4/8 + 416. Factor p(r).
-5*r**3*(r + 2)/4
Let j = 3676 - 3672. Let g(x) be the second derivative of -15*x - 1/24*x**j + 0 + 0*x**2 - 1/12*x**3. Solve g(l) = 0 for l.
-1, 0
Let s(o) be the first derivative of 16*o + 0*o**2 - 52 - 20/3*o**3 + 4/5*o**5 + 0*o**4. Find r, given that s(r) = 0.
-2, -1, 1, 2
Suppose -4*f - 14 = 4*t - 50, -5*t + 45 = 2*f. Solve f - 8/11*g**4 + 0*g - 8/11*g**3 + 0*g**2 - 2/11*g**5 = 0.
-2, 0
Let y be 42199/190 - (-11)/(-110). Let a = 99 - 59. Factor -8*h**3 + 23*h**3 + a*h**2 - 106*h - 10 + y*h - 101*h.
5*(h + 1)*(h + 2)*(3*h - 1)
Let d(v) = -1. Let i(z) be the first derivative of 2*z**3/3 + 120*z**2 + 7194*z + 232. Let r(n) = 6*d(n) - i(n). Factor r(j).
-2*(j + 60)**2
Let l(n) be the first derivative of 3*n**4 - 24*n**2 - 4*n**3 + 0*n + 3/5*n**5 + 103. Factor l(f).
3*f*(f - 2)*(f + 2)*(f + 4)
Suppose 255/2 - 1/2*k**2 + 41*k = 0. What is k?
-3, 85
Let i be (-50)/24 + 18/(-27) + 3. Let r be (-20 + 22 - 169/52)*3/(-5). Factor -r*l + i*l**2 + 1/2.
(l - 2)*(l - 1)/4
Let j(i) be the first derivative of -3*i**5/25 - 693*i**4/20 + 1658*i**3/5 - 576*i**2 - 11424*i/5 + 7812. Let j(g) = 0. What is g?
-238, -1, 4
Let v(z) be the third derivative of 4/195*z**5 + 0 - 4*z**2 + 1/2184*z**8 - 1/260*z**6 - 2/1365*z**7 - 1/39*z**4 + 3*z + 0*z**3. Suppose v(j) = 0. Calculate j.
-2, 0, 1, 2
Let i be (-7)/6*(1624/490)/(-29). Factor 0 + 2/5*b - i*b**2.
-2*b*(b - 3)/15
Let l = 413 - 409. Let j(p) be the first derivative of 1/2*p**2 - 1/4*p**l + 18 + 2/3*p**3 - 2*p. What is q in j(q) = 0?
-1, 1, 2
Let g(o) be the third derivative of -o**5/100 - 73*o**4/10 + 294*o**3/5 - 2*o**2 - 2*o + 839. Find s such that g(s) = 0.
-294, 2
Let j be (1/(2 + -3))/((-3)/9). Factor -4*w**3 - 19*w**2 - 2*w**2 + 0*w**4 + 6*w**4 - 2*w**3 - j*w**4 - 12*w.
3*w*(w - 4)*(w + 1)**2
Let u(r) be the first derivative o