t 2/5*g**3 + f*g - 14/15*g**l + 8/15 = 0.
-2/3, 1, 2
Let i(t) be the third derivative of -7*t**2 + 2 + 0*t + 1/60*t**4 + 4/15*t**3 - 1/300*t**5. What is z in i(z) = 0?
-2, 4
Let w(x) be the third derivative of -x**6/720 - 13*x**5/120 - 55*x**4/72 - 2*x**3 - 148*x**2. Factor w(g).
-(g + 1)*(g + 2)*(g + 36)/6
Let a = -703579 - -4925062/7. Factor -3/7*s**2 + 12/7 - a*s.
-3*(s - 1)*(s + 4)/7
Let d(n) be the second derivative of -n**7/147 - n**6/7 - 9*n**5/35 + 205*n**4/21 + 39*n**3 + 405*n**2/7 - 2*n - 2521. Let d(z) = 0. What is z?
-9, -1, 5
Let o be (124 + -121)*(15/(-10))/((-6)/4). Factor -4/17*f**o + 0*f - 16/17*f**2 + 2/17*f**4 + 0.
2*f**2*(f - 4)*(f + 2)/17
Find l such that 5832*l - 1/5*l**5 + 11853/5*l**2 - 19440 - 3231/5*l**3 - 117/5*l**4 = 0.
-60, -3, 3
Let -24/7 - 1/7*x**3 - 2/7*x**2 + 20/7*x = 0. Calculate x.
-6, 2
Let k(o) be the second derivative of -o**5/10 + 183*o**4/2 - 25025*o**3 - 75625*o**2 - 6828*o + 1. Let k(p) = 0. Calculate p.
-1, 275
Let l(f) be the second derivative of 5*f**4/12 + 15*f**3 + 200*f**2 + 2775*f. Suppose l(n) = 0. Calculate n.
-10, -8
Let q(r) be the third derivative of 199 + 2/3*r**3 + 37/24*r**4 + 7/4*r**5 + 8/105*r**7 + 0*r + 11/15*r**6 + 2*r**2. Factor q(i).
(i + 1)*(i + 4)*(4*i + 1)**2
Let i be 13 + 0/(-12 - 3). Let s(l) be the second derivative of i*l + 0*l**2 + 0 + 2/3*l**3 - 5/3*l**4. Factor s(j).
-4*j*(5*j - 1)
Let c be ((-8)/(-10) + 749/1070)/(1/2). Let t(j) be the first derivative of 1/5*j**2 - 4/5*j + 4/15*j**c + 7 - 1/10*j**4. Let t(y) = 0. What is y?
-1, 1, 2
Let c be ((-5)/(-3))/(2/72*3). Let i be (-14)/(-10) - 1 - (-32)/c. Determine l so that 9*l**2 + 7*l**i + 4*l**2 - 12*l - 6*l**2 - 2*l**3 = 0.
0, 1, 6
Let y(i) = -i**2 + 2*i + 11. Let m be y(4). Let r(s) be the first derivative of 12 - 1/9*s**6 + 0*s**2 - 2/9*s**m - 2/5*s**5 - 1/2*s**4 + 0*s. Factor r(d).
-2*d**2*(d + 1)**3/3
Suppose 8*p = -62*p - 22*p + 276. Let v(z) be the third derivative of 0*z + 5/96*z**4 - 1/240*z**5 + 0 + 35*z**2 - 1/6*z**p. Factor v(k).
-(k - 4)*(k - 1)/4
Let f = -61946 - -309742/5. Solve -28/5*x**3 + f*x**5 + 16/5*x**4 + 0 - 16/5*x**2 + 16/5*x = 0 for x.
-2, -1, 0, 2/3, 1
Solve 41*o - 1/2*o**2 - 1357/2 = 0 for o.
23, 59
Suppose 757*z - 2874 = 751*z. Let y = z - 476. Let 0 + 0*h - h**4 + 8/3*h**y - h**2 - 2/3*h**5 = 0. Calculate h.
-3, 0, 1/2, 1
Let s(a) = -a**3 + a**2 - 25*a - 5. Let g be s(0). Let i(q) = 0*q - q - q**2 - 1 + 0. Let t(b) = -b**3 - b**2 - 5. Let l(v) = g*i(v) + t(v). Factor l(k).
-k*(k - 5)*(k + 1)
Solve i**4 + 490 - 10885*i - 2*i**5 + 9947*i - 15*i**4 + 388*i**2 + 76*i**3 = 0 for i.
-7, 1, 5
Let u(h) be the third derivative of -33*h**2 - 1/80*h**5 + 3/4*h**3 - h + 0 + 5/32*h**4. What is f in u(f) = 0?
-1, 6
Let u(a) be the first derivative of -a**4/10 - 2*a**3 + 18*a**2/5 + 64*a/5 - 2406. Factor u(r).
-2*(r - 2)*(r + 1)*(r + 16)/5
Let j(t) be the first derivative of -2*t**3/15 - 26*t**2/5 - 10*t - 2564. Factor j(u).
-2*(u + 1)*(u + 25)/5
Let 2/3*u**3 + 0 + 38*u**2 - 116/3*u = 0. Calculate u.
-58, 0, 1
Let g(d) be the first derivative of d**4/30 + d**3/15 - 12*d**2/5 + 37*d - 87. Let x(k) be the first derivative of g(k). Factor x(o).
2*(o - 3)*(o + 4)/5
Suppose -7*q - 6*q + 97110 = 0. What is v in 68471 - 324471 - q*v - 6*v**3 - 480*v**2 - 11730*v + 2*v**3 = 0?
-40
Let a = 487 - 421. Factor 3072 - a*t + 310*t - 2*t**4 - 2990 + 76*t**3 + 240*t**2.
-2*(t - 41)*(t + 1)**3
Suppose -213 - 271 = -121*l. Suppose -l*h = -4*s - 2 + 26, 10 = 2*s - h. Factor -20*v**s + 225*v + 5/3*v**5 - 90 - 210*v**2 + 280/3*v**3.
5*(v - 3)**3*(v - 2)*(v - 1)/3
Let s(x) be the second derivative of 9*x**2 - 1/20*x**4 - 13/10*x**3 + 0 - 34*x. Let s(o) = 0. What is o?
-15, 2
Let u(l) be the third derivative of 7*l**6/160 - 8*l**5/15 + 67*l**4/32 - 3*l**3/4 - 886*l**2. Factor u(j).
(j - 3)**2*(21*j - 2)/4
Determine s, given that -17/3*s**3 - 32/3*s**2 + 11/3*s + 20/3 + 2*s**4 = 0.
-1, 5/6, 4
Let c = -24132 - -15283. Let s = 62159/7 + c. Determine a so that 180/7*a**2 + 2/7*a**4 - 432/7 - 34/7*a**3 - s*a = 0.
-1, 6
Factor -5*r**4 + 995*r**2 - 496*r**2 + 16*r - 2*r**3 + 3*r**4 - 2*r**3 - 491*r**2.
-2*r*(r - 2)*(r + 2)**2
Factor 147/8*n**3 - 147/2*n + 3 - 3/4*n**2.
3*(n - 2)*(n + 2)*(49*n - 2)/8
Let j(x) be the first derivative of 2*x**5/5 - 13*x**4/2 - 176*x**3/3 - 44*x**2 + 288*x - 7498. Let j(h) = 0. Calculate h.
-4, -2, 1, 18
Let m = -738 + 890. Suppose -128*q + 90*q + m = 0. Find a such that 3/7*a**5 - 15/7*a**q + 3/7*a**2 + 12/7 + 3*a**3 - 24/7*a = 0.
-1, 1, 2
What is d in 2/7*d**3 + 2146/7*d - 20*d**2 + 10952/7 = 0?
-4, 37
Let h(u) = 2*u + 4. Suppose -2*r + 2*n - 3*n = -4, 5*n = -5*r + 20. Let p be h(r). Determine j, given that 1 + 1 - 2*j + j + p*j + j**2 = 0.
-2, -1
Let n(s) be the second derivative of -s**7/1050 + s**6/300 + s**5/300 - s**4/60 + 21*s**2 - 8*s. Let u(q) be the first derivative of n(q). Factor u(d).
-d*(d - 2)*(d - 1)*(d + 1)/5
Let o be (-182)/(-39) + 6/(-9). Solve -3*k**2 - 132*k - 147*k**o + 3 - 15 - 51*k**2 + 357*k**3 - 12 = 0 for k.
-2/7, 1, 2
Let 2/9*a**5 - 2/3*a**4 + 8/3 - 34/9*a**3 + 32/9*a - 2*a**2 = 0. What is a?
-2, -1, 1, 6
Let y be -460 + 491 + 423/5. Solve 582/5*v**3 + 72/5 + 1326/5*v**4 - 192/5*v + y*v**5 - 86*v**2 = 0 for v.
-1, 6/17
Let q be (-23)/(-12) + -6*(-13)/(-468). Factor -q*a - 1/4*a**3 + 5/4*a**2 + 3/4.
-(a - 3)*(a - 1)**2/4
Let k(i) be the third derivative of 1/12*i**5 - 15*i**3 + 0 + 67*i**2 + 0*i - 85/24*i**4. Factor k(z).
5*(z - 18)*(z + 1)
Let i(q) be the third derivative of q**6/780 - 4*q**5/65 + 9*q**4/13 - 1061*q**2. Factor i(v).
2*v*(v - 18)*(v - 6)/13
Let q(a) be the first derivative of 540*a**2 - 19 - 1/4*a**5 + 15/2*a**4 - 90*a**3 - 29*a. Let n(b) be the first derivative of q(b). Factor n(k).
-5*(k - 6)**3
Let u(k) be the first derivative of -k**6/24 + k**5/20 + 69*k**4/16 + 191*k**3/12 + 23*k**2 + 15*k + 133. Find f, given that u(f) = 0.
-6, -1, 10
Suppose s - 32 = i, -2*s - 2*i + 56 = -0*s. Solve s*h - h**2 - 1437 - 3*h**3 + 1413 - 2*h**2 = 0 for h.
-4, 1, 2
Let u(h) be the first derivative of -h**4/10 - 188*h**3/15 - 1404*h**2/5 + 81648*h/5 - 3751. Solve u(w) = 0.
-54, 14
Let p = -151940/13 + 11706. Let a = p + -254/65. Factor a*z**2 + 32/5 + 28/5*z**3 + 4/5*z**4 + 16*z.
4*(z + 1)*(z + 2)**3/5
Let z(q) be the first derivative of -57 - 24*q + 38/3*q**3 + 40*q**2 - 20*q**4 - 14/5*q**5. Find l, given that z(l) = 0.
-6, -1, 2/7, 1
Suppose 17*w - 22*w = -4*s - 60, -5*w + 10 = s. Let 42/13*t**2 - 4*t + 16/13 - 4/13*t**w - 2/13*t**3 = 0. What is t?
-4, 1/2, 1, 2
Let q(p) be the third derivative of -p**8/560 + p**7/40 - 11*p**6/120 + p**5/8 + 209*p**3/6 - 71*p**2. Let y(g) be the first derivative of q(g). Factor y(h).
-3*h*(h - 5)*(h - 1)**2
Let d(o) be the second derivative of -o**6/45 - o**5/6 - o**4/3 + 4*o**3/9 + 8*o**2/3 + 202*o + 4. Factor d(a).
-2*(a - 1)*(a + 2)**3/3
Let c(i) = 8*i**2 - 10*i + 32. Let n be c(-15). Suppose l - n = -l. Factor 3*q**2 + q**2 - l*q**3 + 981*q**3 + 3*q**4 + 8*q.
q*(q - 2)**2*(3*q + 2)
Let h be 280/60 - (-1*1/3)/(3/18). Factor -5/3*x**2 - 5/3*x**3 + h + 20/3*x.
-5*(x - 2)*(x + 1)*(x + 2)/3
Let p be (2 - (6 - 5)) + 99. Let g be 8/10*p/40. Let -93*a**3 - 25*a - 30 + 40*a**g + 43*a**3 + 65*a**3 = 0. Calculate a.
-3, -2/3, 1
Factor 224 - 1016 + 448*k - 4*k**3 - 88 + 436*k**2.
-4*(k - 110)*(k - 1)*(k + 2)
Suppose -225 + 57 = -9*q - 15*q. Let h(p) be the third derivative of 0*p + 2/75*p**5 + 0*p**3 + 0*p**6 + 0*p**4 + 0 - 5*p**2 - 1/525*p**q. Factor h(o).
-2*o**2*(o - 2)*(o + 2)/5
Suppose -33 = -4*w + 3*p, 41 = 2*w - 27*p + 22*p. Factor 3*s + 7/5*s**2 + 1/5*s**w + 9/5.
(s + 1)*(s + 3)**2/5
Let i(j) be the first derivative of -j**4/4 - j**3/3 + j**2/2 + j + 178. Let d(f) = -4*f**3 + 23*f**2 + 4*f - 23. Let m(y) = -d(y) + i(y). Solve m(n) = 0 for n.
-1, 1, 8
Let s(x) be the first derivative of x**6/15 - 12*x**5/25 - x**4/2 + 4*x**3 + 4*x**2/5 - 48*x/5 + 2911. Suppose s(z) = 0. Calculate z.
-2, -1, 1, 2, 6
Let h = 2540/9 - 3347711/11862. Let t = h + 4942/659. What is l in 0*l - 3/2*l**5 + 12*l**3 + t*l**4 - 18*l**2 + 0 = 0?
-2, 0, 1, 6
Suppose -9*j - 1978 = -1978. Let q(s) be the third derivative of 5/3*s**3 + 0*s + j - 5/8*s**4 + 3*s**2 + 1/12*s**5. Factor q(p).
5*(p - 2)*(p - 1)
Determine q, given that 700 - 21*q**2 - 1487*q - 220 + 677*q + 810*q