third derivative of o(f). Factor q(n).
-(n - 12)*(3*n - 1)**2/3
Let y(w) = w**2 - 5*w. Let r(t) = 4*t**2 - 148*t. Let z(l) = -r(l) + 2*y(l). Solve z(b) = 0.
0, 69
Let -20/3*i**4 - 596/3*i**3 + 0 + 116/3*i - 460/3*i**2 = 0. What is i?
-29, -1, 0, 1/5
Let h(f) be the third derivative of -1/60*f**5 - 961/6*f**3 + 4*f**2 - 17 + 31/12*f**4 + 0*f. What is y in h(y) = 0?
31
Let f = -4663/852 - -4/71. Let g = 1519/276 + f. Find i, given that 2/23*i + 4/23 - g*i**2 = 0.
-1, 2
Let p(v) = v**3 + v + 1. Let g(y) = 2*y**3 + 2*y**2 - y. Let r(k) = g(k) - p(k). Let j be r(-2). Let o**3 + 0*o**j - 4*o**3 + 12*o = 0. What is o?
-2, 0, 2
Let n(t) be the third derivative of 0*t**3 + 0*t**7 + 0*t**4 - t + 1/1176*t**8 + 0*t**5 + 0 - 1/420*t**6 + 3*t**2. Factor n(f).
2*f**3*(f - 1)*(f + 1)/7
Let f be 6 + (-7 + 169 - -5). Find r such that -29*r + r - 100*r**2 - 24*r**3 - 2*r**3 - 161 - 34*r + f = 0.
-3, -1, 2/13
Let s = -4398 - -4403. Let x(r) be the third derivative of -9/20*r**6 + 8/9*r**3 + 0*r + 17/9*r**4 + 19*r**2 + 0 + 7/5*r**s. Factor x(k).
-2*(k - 2)*(9*k + 2)**2/3
Let f be (-63)/(-14) - 6 - (-142)/4. Let c be f/(-24) + 80/48. What is z in c*z**2 - z + 0 = 0?
0, 4
Let k(h) = 3*h**3 + 60*h**2 - 102*h - 177. Let p(m) = 2*m**3 - m**2 + m - 2. Let j(w) = k(w) - 3*p(w). Find g, given that j(g) = 0.
-1, 3, 19
Let m = -33397 + 133593/4. Factor -25/4 + m*j**2 - 5*j.
5*(j - 5)*(j + 1)/4
Let w be (-4)/70*7 + 681/15. Suppose w*q = -38*q + 166. Solve -6/5*y + 3/5*y**q + 3/5 = 0.
1
Let w(o) = -o**2 - 35*o + 3005. Let x be w(-75). Suppose -33*v**x - 288*v - 1113/4*v**4 - 1617/2*v**3 - 27 - 3621/4*v**2 = 0. Calculate v.
-3, -2, -1/4, -2/11
Let h(k) be the first derivative of 16/15*k**3 - 1/5*k**4 + 0*k + 60 - 6/5*k**2. Solve h(n) = 0 for n.
0, 1, 3
Suppose -2*m - m + 3*i - 18 + 36 = 0, 0 = -i + 4. Let r = 4 + -4. Let r - 8/9*b - 56/9*b**2 - m*b**3 + 56/9*b**4 + 98/9*b**5 = 0. Calculate b.
-1, -2/7, 0, 1
Let y be -2 - ((-5)/((-330)/(-208)) - 36/198). Let h(d) be the second derivative of -34*d + 0 + y*d**3 + 1/3*d**4 - 6*d**2. Factor h(l).
4*(l - 1)*(l + 3)
Let a(l) be the second derivative of 0 + 4*l**2 + 7/4*l**5 - 14/3*l**3 - 5/6*l**4 - 1/6*l**7 + 1/15*l**6 - 53*l. Find t such that a(t) = 0.
-2, -1, 2/7, 1, 2
Determine i so that -18/5*i**5 + 0 + 68/5*i**4 + 8/5*i - 74/5*i**3 + 16/5*i**2 = 0.
-2/9, 0, 1, 2
Suppose 27/2*y**2 + 237/2*y - 27 = 0. What is y?
-9, 2/9
Let v(d) be the first derivative of d**5/55 - 239*d**4/22 - d**3/11 + 718*d**2/11 - 956*d/11 - 14646. Let v(h) = 0. Calculate h.
-2, 1, 478
Let b(c) = 12*c - 16. Let m be b(-6). Let f = 355/4 + m. Solve 0 - 3/4*v**4 + 3/4*v**2 + f*v**5 + 0*v - 3/4*v**3 = 0.
-1, 0, 1
Let s be -30 + (-8)/10*-49. What is v in -s*v**2 - 2/5*v**5 + 14/5*v**4 + 32/5 + 16/5*v - 14/5*v**3 = 0?
-1, 1, 4
Let h(m) be the third derivative of -1/30*m**5 + 3*m + 0 + 4/3*m**3 + 1/120*m**6 - 1/6*m**4 + 12*m**2. Factor h(w).
(w - 2)**2*(w + 2)
Let c(f) be the second derivative of -f**6/180 + 143*f**5/24 + 225*f + 7. Find q such that c(q) = 0.
0, 715
Suppose 1077/5*l - 3/5*l**2 - 1074/5 = 0. Calculate l.
1, 358
What is o in -284*o - 2*o**2 - 3964 - 3659 + 7909 = 0?
-143, 1
Let f be (-6)/4 - 180/(-40). Factor -16*b + 19*b**3 - 9*b**3 - 20*b**f + 24*b**2 - 2*b**3 + 2*b**4.
2*b*(b - 2)**3
Suppose -952*b = -957*b + 290. Let y be 1/2 - (-87)/b. Find x, given that 0 - 4/5*x - 1/5*x**y = 0.
-4, 0
Let p be (-1)/(-9)*-3*(101 + -110). Solve -24/7*o + 0 + 2*o**p + 80/7*o**2 = 0.
-6, 0, 2/7
Let p(v) be the first derivative of -19 + 11/9*v**3 + 7/15*v**5 + 1/3*v**2 + 4/3*v**4 + 0*v. What is t in p(t) = 0?
-1, -2/7, 0
Let z be (104/65)/((-4)/(-15)). Let n(p) be the third derivative of 0 + 0*p - 1/40*p**z + 0*p**3 + 0*p**5 + 0*p**4 - 6*p**2. Factor n(o).
-3*o**3
Let p(y) be the second derivative of y**5/30 + 53*y**4/18 + 34*y**3/3 - 1274*y. Factor p(b).
2*b*(b + 2)*(b + 51)/3
Let i(a) be the first derivative of -a**6/540 + a**4/108 - a**2 - 71*a - 179. Let q(h) be the second derivative of i(h). Factor q(y).
-2*y*(y - 1)*(y + 1)/9
Let a = 1630 - 1625. Let x(o) be the third derivative of 0*o**3 + 0*o + 1/24*o**4 - 1/120*o**a + 2*o**2 + 0 - 1/240*o**6. Suppose x(n) = 0. What is n?
-2, 0, 1
Let o = 40118 - 40115. Determine m so that 0 - 5/6*m**o + 0*m**4 + 2/3*m + 1/6*m**5 + 0*m**2 = 0.
-2, -1, 0, 1, 2
Let c(a) be the first derivative of -a**5/40 + 7*a**3/12 + 3*a**2/2 + 47*a - 1. Let g(t) be the first derivative of c(t). Factor g(j).
-(j - 3)*(j + 1)*(j + 2)/2
Let b = 1212/43 - 7229/258. Let v(l) = -l - 5. Let k be v(-8). What is g in 2*g - b*g**4 + 11/6*g**2 - 1/3*g**k - 6 = 0?
-3, 2
Let w = 147 + -144. Determine l so that 78*l**2 - 40 + 5*l**w + 73*l**2 - 141*l**2 - 20*l = 0.
-2, 2
Let v(t) be the second derivative of -t**5/120 - 7*t**4/72 + 16*t**3/3 - 57*t**2 - 10798*t. Factor v(j).
-(j - 6)**2*(j + 19)/6
Let b(g) be the first derivative of 1/2*g**2 + 151 - 30/7*g + 1/21*g**3. Factor b(p).
(p - 3)*(p + 10)/7
Let 146*q**2 + 552*q - 448 - 48*q**3 + 128*q**2 + 115*q**2 + 142*q**2 - 583*q**2 - 4*q**4 = 0. What is q?
-8, -7, 1, 2
Let m(p) be the second derivative of -p**7/840 - p**6/120 - p**5/80 - 91*p**2 - 2*p + 11. Let b(r) be the first derivative of m(r). Factor b(z).
-z**2*(z + 1)*(z + 3)/4
What is x in -3*x**2 + 124*x + 432 + 310*x - 2*x**2 - 14*x**2 + 21*x**2 = 0?
-216, -1
Let k = 399804 - 399802. Let 4/5*q**k + 12/5*q - 32 = 0. Calculate q.
-8, 5
Let o = -25 - -35. Let c be 3 - ((-4)/(-5))/(o/25). Let q(l) = l**2 - l + 1. Let u(x) = 9*x**2 - 3*x - 12. Let z(f) = c*u(f) - 6*q(f). Factor z(m).
3*(m - 2)*(m + 3)
Let d(c) be the first derivative of 2048*c - 119 + 2/3*c**3 - 64*c**2. Suppose d(b) = 0. What is b?
32
Let i(s) be the first derivative of -s**4/12 - s**3/3 - s**2/2 + 135*s + 161. Let y(k) be the first derivative of i(k). Find l, given that y(l) = 0.
-1
Suppose 2*a - 22 = 14. Suppose 4*n + 5*s = a, 1 - 15 = -4*n - 3*s. Factor 24*f**2 + 5*f + 11*f + 0*f + 12*f**3 + n*f**4.
2*f*(f + 2)**3
Let m = -4604 - -4608. Let y(w) be the third derivative of 15*w**2 + 3/10*w**5 - 25/3*w**3 + 0 - 5/4*w**m + 0*w - 1/60*w**6. Factor y(v).
-2*(v - 5)**2*(v + 1)
Let f(u) = -3*u**2 + 6*u + 115. Let v(y) = -15*y**2 + 30*y + 573. Let a(t) = 24*f(t) - 5*v(t). Find p, given that a(p) = 0.
-5, 7
Let v = 220 - 217. Let l be 2/v*15*(-18)/(-240). Find j such that -3/2 + 3/4*j + l*j**2 = 0.
-2, 1
Let m = -105 + 117. Suppose m = -5*a + 11*a. Let 118*k**2 - 71*k**2 - a*k**5 - 101*k**2 + 18*k**3 - 72*k**3 - 18*k**4 = 0. Calculate k.
-3, 0
Let f(t) = 137*t - 14929. Let i be f(109). Let q(a) be the first derivative of 5/6*a**2 + 5/3*a**3 - 5/12*a**i - 5*a - 36. Factor q(u).
-5*(u - 3)*(u - 1)*(u + 1)/3
Let c(d) be the third derivative of 3/4*d**5 + 0*d + 0 + 8/21*d**7 + 0*d**3 - 62*d**2 - 5/24*d**4 - d**6. Factor c(a).
5*a*(a - 1)*(4*a - 1)**2
Let x = 10255 - 358922/35. Let v(z) be the first derivative of 3/14*z**2 + 9/28*z**4 - x*z**5 - 3/7*z**3 + 0*z + 10. Factor v(i).
-3*i*(i - 1)**3/7
Let l(b) be the first derivative of 81*b**5/2 - 9*b**4/2 - 104*b**3/3 + 16*b**2 - 1368. Factor l(y).
y*(5*y + 4)*(9*y - 4)**2/2
Let a(g) = 5*g**2 - 335*g - 28564. Let c(b) = 2*b**2 + b - 1. Let n(j) = a(j) - 3*c(j). Factor n(y).
-(y + 169)**2
Suppose -23907*t + 23904*t - 2*l + 18 = 0, 4*l - 32 = -4*t. Let -35/3*p**t + 17/3*p - 2/3 = 0. Calculate p.
1/5, 2/7
Let m = 721 - -126. Let i = m + -843. What is w in 0*w**2 + 0*w - 1/6*w**i + 0 + 1/6*w**5 + 0*w**3 = 0?
0, 1
Let m(y) be the third derivative of y**7/280 - 5773*y**6/480 + 173641*y**5/15 - 231361*y**4/24 - 2691*y**2. Factor m(z).
z*(z - 962)**2*(3*z - 1)/4
Suppose 3*d - 16 = -4*r, -2*d + 9 = 12*r - 11*r. Let x = -229/2 - -116. Find p such that -3/2*p**2 + x*p + 0 + 3/2*p**d - 3/2*p**3 = 0.
-1, 0, 1
Let m(j) be the third derivative of 1/1140*j**6 + 0 + 57*j**2 - 2/57*j**3 + 1/190*j**5 + 0*j - 1/1995*j**7 - 1/228*j**4. Find r, given that m(r) = 0.
-1, 1, 2
Determine l so that -38/7*l**3 - 2/7*l**5 + 0 - 20/7*l**4 + 0*l + 60/7*l**2 = 0.
-6, -5, 0, 1
Suppose 4*c = 4*t + 2*t + 72, -2*t - 24 = 0. Solve -66/7*a**4 + 363/7*a**5 + 0*a**2 + 0*a + 3/7*a**3 + c = 0.
0, 1/11
Let k be (((-189)/(-49) + -4)*0/(-2))/6. Let t(z) be the second derivative of k + 1/36*z**4 - 5/18*z**3 - 4*z + 2/3*z**2. Factor t(v).
(v - 4)*(v - 1)/3
Let q(i) be the first derivative 