- 220*u**4/19 + 300*u**3/19 + 755*u**2. Solve p(z) = 0 for z.
-30, 1
Let h(g) be the first derivative of 4*g**3/15 + 926*g**2/5 - 1856*g/5 + 596. Solve h(q) = 0 for q.
-464, 1
Let m(l) be the first derivative of -54/5*l**2 - 12*l**3 - 39/20*l**4 + 6/5*l**5 + 0*l - 43 - 1/10*l**6. Let m(k) = 0. What is k?
-1, 0, 6
Let t(x) be the first derivative of -3*x**4/28 + 52*x**3/7 - 1479*x**2/14 - 15138*x/7 + 3548. Factor t(k).
-3*(k - 29)**2*(k + 6)/7
Let t(q) be the first derivative of -43 - 80*q**2 - 25/2*q**4 + q**5 + 0*q + 160/3*q**3. What is d in t(d) = 0?
0, 2, 4
Let c(p) = 62*p**4 + 15*p**3 - 127*p**2 + 227*p + 412. Let s(f) = 9*f**4 - f**3 + 3*f**2 - f + 1. Let y(n) = -4*c(n) + 28*s(n). Factor y(t).
4*(t - 9)**2*(t - 5)*(t + 1)
Factor 50*j**5 - 9*j**5 - 10*j**5 - 71*j**3 - 68*j**4 + 1200*j**2 - 89*j**3 - 35*j**5.
-4*j**2*(j - 3)*(j + 10)**2
Factor 11*k - 12 + 40275*k**2 - k**3 - 40275*k**2 + 2*k.
-(k - 3)*(k - 1)*(k + 4)
Let x(v) be the first derivative of -2*v**3/21 - 380*v**2/7 + 959. Factor x(r).
-2*r*(r + 380)/7
Suppose 51*k - 45*k = 18. Determine g, given that 8*g + 12*g**4 + 271*g**2 - 5*g - k*g**3 - 283*g**2 = 0.
-1, 0, 1/4, 1
Let n be 8 - (-11 + (12 - 5)). Let s be (-12)/(-5) + ((-406)/(-35) - n). Factor -1/3*b + 2/3*b**4 + 0 + 1/3*b**5 + 0*b**3 - 2/3*b**s.
b*(b - 1)*(b + 1)**3/3
Let y = 90600 + -724797/8. Determine i so that -3/2 + 3/8*i**5 + 3/2*i + 15/8*i**2 - 15/8*i**3 - y*i**4 = 0.
-2, -1, 1, 2
Let d = 119 - 117. Suppose 4*a = d*j - 20, 3*a - 1 = 3*j - 19. Factor -4*i**3 + 2*i - 6*i**3 - 4*i**3 + 15*i**3 + 3*i**j.
i*(i + 1)*(i + 2)
Factor 83*s**2 - 8*s**4 - 35*s**2 - 5*s**3 - 7*s**4 + 37*s**3 + s**5.
s**2*(s - 12)*(s - 4)*(s + 1)
Let n(m) = 7*m**2 + 5*m - 13. Let o be n(2). Factor o*i - 56*i - 2*i**2 + 376 - 1098 - 45*i.
-2*(i + 19)**2
Suppose -2*y - 6 = -4, -23 = -3*z + 2*y. Suppose -19 = 3*i - 5*w, -i + 31*w = 32*w - z. Let -18/7 + 30/7*l - i*l**2 + 2/7*l**3 = 0. Calculate l.
1, 3
Factor 138/5*h**2 - 9/5*h**3 + 0 - 3/5*h**4 + 144/5*h.
-3*h*(h - 6)*(h + 1)*(h + 8)/5
Let t(z) be the third derivative of -z**9/80640 - z**8/26880 + z**7/3360 + 7*z**5/4 - 138*z**2. Let k(s) be the third derivative of t(s). Factor k(g).
-3*g*(g - 1)*(g + 2)/4
Suppose 725477 = 27*o + 725423. Determine r so that 2*r**3 - 1/6*r**5 + 8/3*r + 14/3*r**o - 1/6*r**4 + 0 = 0.
-2, -1, 0, 4
Let u be (6/(-1))/((77/(-21))/(-11)). Let p be (50/u - -3) + (-96)/(-540). Find t such that p*t**2 + 2/15*t**3 + 2/5*t + 2/15 = 0.
-1
Let a(x) be the first derivative of x**4/48 - 31*x**3/8 + 31*x + 268. Let u(k) be the first derivative of a(k). Factor u(l).
l*(l - 93)/4
Let x(w) be the first derivative of 4*w - 11/14*w**4 + 26/7*w**3 - 41/7*w**2 + 35 - 2/35*w**5. What is y in x(y) = 0?
-14, 1
Let f(i) be the third derivative of -i**8/840 - 8*i**7/525 - 2*i**6/25 - 16*i**5/75 - 4*i**4/15 - 2*i**2 + 582*i. Factor f(a).
-2*a*(a + 2)**4/5
Let j(v) = -3*v**2 + 71*v + 17 + 28*v**3 - 29*v**3 - 31*v + 4*v**2. Let f be j(7). Factor -5/4*x + 1/4*x**f + 1/4*x**2 + 3/4.
(x - 1)**2*(x + 3)/4
Suppose 70 = -27*v + 232. Suppose 2*d - v = -4*b, 0*b = -5*b + 5*d + 30. Factor 0*q + 10 - 15/2*q**2 - 5/2*q**b.
-5*(q - 1)*(q + 2)**2/2
Let m be -7 + 8 + 8 - 6. Let 4*n + 40*n**2 + 28*n - 49*n**3 + 19*n**3 + 18*n**m = 0. What is n?
-2/3, 0, 4
Let n(b) be the first derivative of 8*b**2 - 1/10*b**5 + 12*b + 7 - 1/3*b**4 + 4/3*b**3. Let f(r) be the first derivative of n(r). Factor f(d).
-2*(d - 2)*(d + 2)**2
Let h be -6*(1/(-4))/(58/116). Let d be (h*(-10)/75)/((-4)/5). Factor 7/4*a - 1 + d*a**2.
(a + 4)*(2*a - 1)/4
Determine a so that -24/11*a**3 + 4*a**2 - 21/11*a**4 + 0 + 0*a + 1/11*a**5 = 0.
-2, 0, 1, 22
Let f be (-21760)/(-10200)*(-2)/(-16). Let q(t) be the third derivative of -4*t**2 + 11/300*t**5 + 1/600*t**6 + f*t**4 + 0 - 2*t + 14/15*t**3. Factor q(c).
(c + 2)**2*(c + 7)/5
Let b(z) be the first derivative of 2/25*z**5 + 79 + 6/5*z**3 + 3/5*z**4 + 0*z + 4/5*z**2. Find c, given that b(c) = 0.
-4, -1, 0
Let g be (6 + (-108)/28)/((-44)/(-14)). Let t = 497/110 + g. Factor 12/5 - 2*b**2 + t*b.
-2*(b - 3)*(5*b + 2)/5
Let m = -48864 + 342052/7. Factor m*k**2 + 60/7*k + 0.
4*k*(k + 15)/7
Factor -58847*d**4 + 29423*d**4 - 40*d**3 - 38*d**2 + 29420*d**4 + 2*d**2.
-4*d**2*(d + 1)*(d + 9)
Let -64/7*y - 4/7*y**2 + 92 = 0. Calculate y.
-23, 7
Let x(o) be the second derivative of -43/42*o**4 - 174*o + 0 + 1/70*o**5 - 41/7*o**2 + 83/21*o**3. Suppose x(j) = 0. Calculate j.
1, 41
Let t be (-1 - -7 - 6)/(0 - (4 + -6)). Let s(z) be the third derivative of 1/15*z**5 + 0*z**3 + t*z + 1/40*z**6 - 10*z**2 + 1/24*z**4 + 0. Factor s(f).
f*(f + 1)*(3*f + 1)
What is d in 1283*d**2 + 35*d + 5*d**3 - 2614*d**2 + 1291*d**2 = 0?
0, 1, 7
Let d(j) be the third derivative of j**7/350 + 3*j**6/100 - 9*j**5/100 - 27*j**4/20 + 7*j**2 - 134. Factor d(q).
3*q*(q - 3)*(q + 3)*(q + 6)/5
Let f(t) = t**3 + 8*t**2 + 12*t + 103. Let z be f(-7). Let v be (z/(-16) - -5)/(27/120). Let 4/3*l - 32/3*l**3 + 6*l**4 + v*l**2 + 0 = 0. Calculate l.
-2/9, 0, 1
Let j(f) be the third derivative of -f**8/392 + f**7/490 + 9*f**6/280 - f**5/35 - f**4/14 - 1548*f**2. Solve j(p) = 0 for p.
-2, -1/2, 0, 1, 2
Suppose -39*g - 72*g + 182*g = 0. Suppose 0*h + 2/15*h**5 + 0*h**2 + 0*h**3 + 2/15*h**4 + g = 0. Calculate h.
-1, 0
Let q(n) = -n**5 + n**4 + n - 1. Let f(h) = 6*h**3 + h**3 + 0*h**3 + 2*h**5 - 8*h**2 - 12*h - h**3 + 4 + 0*h**3. Let j(w) = f(w) + 4*q(w). Factor j(r).
-2*r*(r - 2)**2*(r + 1)**2
Factor 16*d**3 + 11*d**3 - 236*d + 160 + 13*d**3 + 5*d**3 + 2*d**4 - 6*d**2 + 35*d**3.
2*(d - 1)**2*(d + 2)*(d + 40)
Let h(d) be the third derivative of -d**8/336 - d**7/70 + d**6/60 + d**5/5 + d**4/3 + 231*d**2. Factor h(j).
-j*(j - 2)*(j + 1)*(j + 2)**2
Let t(r) be the second derivative of -3/16*r**4 + 75*r - 11/4*r**3 - 21/8*r**2 + 0. Factor t(h).
-3*(h + 7)*(3*h + 1)/4
Factor -2348038 + 11414*s + 8779*s - 1689*s - 21576303 - 4608827 - 3*s**2.
-3*(s - 3084)**2
Let r(a) be the third derivative of 1/280*a**6 + 1/7*a**3 + 3/140*a**5 + 0*a - a**2 - 1/490*a**7 + 90 - 5/56*a**4. Factor r(g).
-3*(g - 1)**3*(g + 2)/7
Let v(d) be the second derivative of 5*d**4/48 + 35*d**3/6 + 935*d**2/8 + 1902*d. Solve v(n) = 0 for n.
-17, -11
Let p be (0*((-170)/20)/17)/(-1 - 1). Factor t**2 + 7/2*t**4 + 0*t + 9/2*t**3 + p.
t**2*(t + 1)*(7*t + 2)/2
Let x(k) be the first derivative of 2*k**5/55 + 233*k**4/22 + 460*k**3/11 - 4*k**2/11 - 1840*k/11 - 4599. Suppose x(j) = 0. Calculate j.
-230, -2, 1
Suppose 1467*y + 201 + 109 = 1622*y. Factor 3/2*m - 27/2 - 3/2*m**3 + 27/2*m**y.
-3*(m - 9)*(m - 1)*(m + 1)/2
Let z(x) be the first derivative of -2*x**5/5 - 107*x**4/4 - 52*x**3 + x**2/2 + 52*x + 5132. Let z(v) = 0. What is v?
-52, -1, 1/2
Factor 88/3*g + 82 + 2/3*g**2.
2*(g + 3)*(g + 41)/3
Let o = 38619/220 + -1926/11. Let q(n) be the second derivative of -o*n**5 + 3*n**2 + 0 + 7/2*n**3 + 1/2*n**4 + 15*n. Determine y, given that q(y) = 0.
-1, -1/3, 2
Let n(l) be the third derivative of -l**5/60 - 857*l**4/6 - 1468898*l**3/3 + 62*l**2 - l. Find i such that n(i) = 0.
-1714
Factor -3*l**4 + 1/2*l**5 - 25/2*l**3 + 0*l - 9*l**2 + 0.
l**2*(l - 9)*(l + 1)*(l + 2)/2
Let i(p) be the third derivative of -p**6/1200 - 11*p**5/600 + 7*p**4/12 - 19*p**3/5 + 2081*p**2 + 2*p. Suppose i(l) = 0. What is l?
-19, 2, 6
Let i(o) = -546*o - 41493. Let f be i(-76). Factor -6/7 - 2/7*t**f + 10/7*t - 2/7*t**2.
-2*(t - 1)**2*(t + 3)/7
Let z = 707/75 + -234/25. Let p(g) be the second derivative of -z*g**4 - 1/6*g**3 + 0 + 18*g - 1/5*g**2 - 1/100*g**5. Determine q so that p(q) = 0.
-2, -1
Let q be ((-2)/(-2) - 2)/(-1) - 582/(-291). Determine r so that 1 + 1/4*r**5 + 7/4*r**4 + 25/4*r**2 + 19/4*r**q + 4*r = 0.
-2, -1
Find p such that 1/6*p**3 - 2/3*p - 12 + 3*p**2 = 0.
-18, -2, 2
Let a = 334 + -309. Find i such that -27*i**2 + a*i**2 - 12 - 290*i - 68 - 33*i**2 = 0.
-8, -2/7
Let n(b) be the second derivative of b**6/240 - 23*b**5/32 + 7*b**4/2 + b**3/12 - 28*b**2 - 1342*b. Factor n(w).
(w - 112)*(w - 2)**2*(w + 1)/8
Suppose -5*w - 5*s + 262 = -w, 2*w - 3*s = 120. Factor -16*v - 16*v**2 + v**3 - 63 + 4*v**4 + w + 3*v**3.
4*v*(v - 2)*(v + 1)*(v + 2)
Suppose -5*y - 3*j = 8, -2*y = -54*j + 57*j + 23. Suppose 8/3*u + 1/3*u**y - 4/3*u**2 + 1/3*u**4 + 0 - 2*u**3 = 0. What is u?
-2, 0, 1, 2
Let -1/3*i**2 - 186 - 71/3*i = 0. Wh