*u**2 + 9/32*u**4. What is s in h(s) = 0?
-3, 0, 1/4, 3
Let k be (5/(-4))/((-30)/48). Find y such that 36*y + 428*y**2 + 452*y**2 + 2*y**3 - 918*y**k = 0.
0, 1, 18
Let n(x) be the third derivative of -x**6/1080 - x**5/15 + x**4/216 + 2*x**3/3 - 189*x**2 - 6*x. Factor n(h).
-(h - 1)*(h + 1)*(h + 36)/9
Suppose 4*p - 3*u = 10, -5*p + 6 = 2*u - 18. Find l, given that -3*l**5 + 24*l**3 - 8*l**p + 27*l**2 - l**5 + 27 - 20*l + 5*l**2 - 51 = 0.
-3, -1, 1, 2
Let w(u) be the first derivative of -5*u**4/4 - 65*u**3/3 - 115*u**2/2 - 55*u + 5629. What is a in w(a) = 0?
-11, -1
Let m = -588397/9 + 65379. Factor -m*r**2 + 10/3 - 64/9*r.
-2*(r + 5)*(7*r - 3)/9
Let o be (2 - 4/20) + (-9 - -9). Let w(j) be the first derivative of 2/5*j**3 - 24/5*j + o*j**2 - 7. Factor w(m).
6*(m - 1)*(m + 4)/5
Let m = -77 - 75. Let a = 147 + m. Let n(c) = 15*c**4 + 53*c**3 + 21*c**2. Let y(l) = l**4 - l**3 - l**2. Let s(h) = a*y(h) - n(h). Solve s(x) = 0 for x.
-2, -2/5, 0
Let c(t) be the first derivative of -t**5 + 120*t**4 - 14720*t**3/3 + 76800*t**2 - 512000*t + 2763. Factor c(x).
-5*(x - 40)**2*(x - 8)**2
Let q = -29280 - -29280. Let s(d) be the first derivative of 30 + 2/15*d**3 + q*d - 7/5*d**2. Determine y so that s(y) = 0.
0, 7
Let j(a) be the second derivative of 575/4*a**3 - 5 - 47/8*a**4 + 2*a - 1587/4*a**2 + 3/40*a**5. Factor j(t).
3*(t - 23)**2*(t - 1)/2
Let c(d) = d**2 - 7. Let s(m) = -m**2 - 1. Let g(x) = c(x) - s(x). Let u be g(-2). Factor 6*a**u - 3*a**3 - 2 + 2 + 563*a - 566*a.
-3*a*(a - 1)**2
Let p = 599471 + -2397879/4. Factor 7/2 - 1/4*j**2 - p*j.
-(j - 2)*(j + 7)/4
Let h(z) be the third derivative of -1/6*z**4 + 100*z**2 + 19/60*z**5 + 0 + 0*z**3 + 0*z. Find d, given that h(d) = 0.
0, 4/19
Let u(h) = h - 2. Let f(o) = 9*o**2 + 4*o - 22. Let l(z) = f(z) - 5*u(z). Let v(x) = -11*x**2 + 2*x + 14. Let k(q) = -5*l(q) - 4*v(q). Factor k(r).
-(r - 1)*(r + 4)
Let k(x) be the third derivative of x**7/168 + x**6/18 + x**5/6 - 58*x**3/3 - x**2 - 13. Let o(m) be the first derivative of k(m). Suppose o(u) = 0. What is u?
-2, 0
Let f(o) = -o**4 - 2*o**3 - o**2 + 2*o. Let g(i) = -6*i**4 - 58*i**3 - 851*i**2 - 6470*i - 18225. Let q(p) = -5*f(p) + g(p). Solve q(l) = 0.
-15, -9
Let a(b) = -17*b**2 - 8*b. Let v be 2 + -1 - (-10 + 2). Let g(f) = -33*f**2 - 15*f. Let i(r) = v*a(r) - 5*g(r). Factor i(o).
3*o*(4*o + 1)
Find f such that 8/3 + 2/3*f + 2/3*f**4 + 1/6*f**5 - 5/6*f**3 - 10/3*f**2 = 0.
-4, -2, -1, 1, 2
Suppose -2*x = -2*m + x - 596, 320 = -m - 4*x. Let d = 2738/9 + m. Let 2/3 - 8/9*a + d*a**2 = 0. What is a?
1, 3
Let r(n) be the first derivative of -n**6/9 + 16*n**4/3 - 68*n**3/3 + 113*n**2/3 - 28*n - 3175. Suppose r(h) = 0. What is h?
-7, 1, 2, 3
Let o(f) = -3*f**2 + 1562*f + 205932. Let s(v) = 3*v**2 + 5*v. Let w(j) = -o(j) - 2*s(j). What is b in w(b) = 0?
-262
Let n = 863/2575 + -14/7725. Factor n - 8/3*c + 7*c**2 - 6*c**3.
-(2*c - 1)*(3*c - 1)**2/3
Let c = -716 - -719. Let h be 28/(-12) + c - (-14)/(-42). Let h*a**2 - 2/3*a + 0 = 0. What is a?
0, 2
Let t(m) = -75*m**2 + 31061*m - 20710. Let u(p) = -204*p**2 + 93184*p - 62128. Let x(l) = 8*t(l) - 3*u(l). Solve x(k) = 0 for k.
2/3, 2588
Let y(x) be the second derivative of -x**7/1680 + x**6/160 + x**5/20 - x**4/6 - 18*x**3 - 12*x - 3. Let m(b) be the third derivative of y(b). Solve m(d) = 0.
-1, 4
Let h(z) be the second derivative of -z**6/280 - z**5/35 - z**4/56 + 3*z**3/7 - 79*z**2/2 + 63*z. Let v(i) be the first derivative of h(i). Factor v(f).
-3*(f - 1)*(f + 2)*(f + 3)/7
Let z(h) be the first derivative of -h**5/4 - 5*h**4 - 55*h**3/6 + 69*h + 27. Let j(t) be the first derivative of z(t). Factor j(r).
-5*r*(r + 1)*(r + 11)
Let m(s) be the third derivative of -51/350*s**7 + 7/10*s**6 - 8/5*s**3 + 1/80*s**8 - 2*s**2 + 12/5*s**4 - 44/25*s**5 + 0*s - 35. Find t such that m(t) = 0.
2/7, 1, 2
Let f(q) be the second derivative of -77*q + 2/15*q**5 + 62/9*q**3 - 5/3*q**4 + 0 - 8*q**2. Factor f(p).
4*(p - 4)*(p - 3)*(2*p - 1)/3
Suppose 341 - 375 = -s + 5*u, 0 = 3*s - 7*u - 54. Factor -2/3*a**2 - 16/3 + s*a.
-2*(a - 4)*(a - 2)/3
Let i(s) be the first derivative of 7/6*s**3 - 5*s + 1/20*s**5 - 5/12*s**4 + 2 - 3/2*s**2. Let j(m) be the first derivative of i(m). Let j(c) = 0. Calculate c.
1, 3
Solve 5/6*l - 1/3 - 1/3*l**2 - 2/3*l**3 + 2/3*l**4 - 1/6*l**5 = 0.
-1, 1, 2
Suppose 2*f = -70 + 76. Factor 4*c**f - 51 + 69 - 32*c - 66 + 4*c**2.
4*(c - 3)*(c + 2)**2
Let y be 4*(7 - 8) + (160 - 1). What is z in -568*z**2 + 505*z + y - 5*z**3 + 813*z**2 + 100 = 0?
-1, 51
Let d(z) be the third derivative of -5*z**2 + 0*z - 1/1260*z**7 + 1/18*z**3 - 1/720*z**6 - 12 + 1/120*z**5 + 5/144*z**4. Factor d(y).
-(y - 2)*(y + 1)**3/6
Let g be 1/((-221)/395598) - 190/(-1235). Let l = g + 1790. Solve 28/17*r**3 + 320/17*r - 256/17 - 144/17*r**2 - l*r**4 = 0 for r.
2, 4
Suppose -18*c - 1071 = -25*c. Let t be 18/c + 168/17. Find w such that 40*w**2 + 8*w**4 + 7*w**5 - 6 - 10*w - t*w**3 + 1 - 43*w**4 + 13*w**5 = 0.
-1, -1/4, 1
Let w = 7223 + -86675/12. Let b(r) be the first derivative of 0*r**2 + 0*r + 2/9*r**3 + w*r**4 - 17. Determine v so that b(v) = 0.
-2, 0
Let q(r) = 3003*r - 72068. Let w be q(24). What is l in -16/5*l**w + 32/5 - 196/5*l**2 + 72/5*l + 108/5*l**3 = 0?
-1/4, 1, 2, 4
Let i(p) be the first derivative of -p**4/16 - 3*p**3/2 - 17*p**2/8 - 220. Factor i(m).
-m*(m + 1)*(m + 17)/4
Let o(w) be the third derivative of 911*w**5/60 - 451*w**4/54 - 2*w**3/27 - 5*w**2 - 2*w + 478. Let o(i) = 0. What is i?
-2/911, 2/9
Let v(g) be the first derivative of -3/20*g**5 - 7/4*g**3 + 0*g + 15/16*g**4 + 9/8*g**2 - 19. Let v(b) = 0. Calculate b.
0, 1, 3
Suppose -4*i = t + 18, -i - 2 - 7 = -2*t. Let g(w) = w**3 - 14*w**2 + 2. Let f be g(14). Solve 2 - 4 - 3*d**f + d**t + 5*d - d = 0 for d.
1
Suppose 2*n = 2*j - 16, 6*n - 15 = 9*n. Let p(g) be the first derivative of 0*g + g**4 + 5 + 4/3*g**j + 0*g**2. Factor p(d).
4*d**2*(d + 1)
Let m be (-610)/((2/6)/(7/(-42))). Suppose 8*n - m = -105. Factor -p**2 + p - 15 - 6*p + n*p - 4*p**2.
-5*(p - 3)*(p - 1)
Find v, given that 8*v - 212/3*v**3 - 12*v**5 - 20/3*v**2 + 60*v**4 + 0 = 0.
-1/3, 0, 1/3, 2, 3
Let m(a) be the second derivative of a**5/130 + 11*a**4/78 - 46*a**3/39 - 56*a**2/13 - 2*a + 1510. Factor m(h).
2*(h - 4)*(h + 1)*(h + 14)/13
Let r(d) be the first derivative of d**7/2520 - 5*d**6/216 + 47*d**5/360 - 23*d**4/72 + 125*d**3/3 - 11. Let p(k) be the third derivative of r(k). Factor p(b).
(b - 23)*(b - 1)**2/3
Factor 2/3*z**4 + 0 + 340*z**2 - 288*z - 158/3*z**3.
2*z*(z - 72)*(z - 6)*(z - 1)/3
Let g be (-79742)/169*((-1 - 0) + 0). Let p = 472 - g. Factor -20/13*v**2 + 50/13*v + p*v**3 + 0.
2*v*(v - 5)**2/13
Let b(a) = -a**3 - 2*a**2 + a + 1. Let z(r) = 343*r**4 + 16224*r**3 - 28466*r**2 + 16395*r - 3141. Let k(w) = -5*b(w) - z(w). Factor k(t).
-(t + 49)*(7*t - 4)**3
Let n be 33/220 - (-18)/(-180). Let u(p) be the first derivative of -17 - n*p**4 + 0*p**2 + 4/5*p - 1/5*p**3. Factor u(q).
-(q - 1)*(q + 2)**2/5
Let i(q) be the second derivative of q**4/84 + 2476*q**3/21 + 3065288*q**2/7 - 41*q - 94. Factor i(m).
(m + 2476)**2/7
Let n(f) be the second derivative of f**6/2160 - 7*f**5/120 + 49*f**4/16 + 8*f**3/3 - 239*f. Let y(z) be the second derivative of n(z). Solve y(r) = 0.
21
Let l = 267470 + -3477104/13. Factor -4/13 + l*g + 10/13*g**2.
2*(g + 1)*(5*g - 2)/13
Let l(n) be the second derivative of -n**6/90 - 17*n**5/60 + n**4/12 + 49*n**3/18 - 17*n**2/3 - 885*n. Factor l(h).
-(h - 1)**2*(h + 2)*(h + 17)/3
Let g(i) be the second derivative of i + 0*i**4 + 5/2*i**3 - 45 - 5*i**2 - 1/4*i**5. Factor g(f).
-5*(f - 1)**2*(f + 2)
Factor -3/7*v**2 - 2595/7 + 534/7*v.
-3*(v - 173)*(v - 5)/7
Find l such that -108 - 96*l**4 + 664*l - 51*l**4 - 378*l**3 + 309*l**2 - 340*l = 0.
-3, -6/7, 2/7, 1
Solve 2/3*g + 8/21 - 4/21*g**4 + 2/21*g**5 - 16/21*g**3 - 4/21*g**2 = 0 for g.
-1, 1, 4
Let z(x) = x**2 - 110*x - 236. Let k(l) = -l**2 + 111*l + 234. Let v(t) = 3*k(t) + 2*z(t). Find c such that v(c) = 0.
-2, 115
Let u = -10170 + 10173. Factor -8 + 4/9*j**u + 4*j + 32/9*j**2.
4*(j - 1)*(j + 3)*(j + 6)/9
Let j = 17658031/684420 + 1/136884. Solve 0 + 3*g**5 + 24/5*g**2 + 84/5*g**4 - 36/5*g + j*g**3 = 0.
-3, -2, -1, 0, 2/5
Let j = 279 - 262. Factor 13*s**3 + 39*s + 20 + 19*s + 65*s**2 + 2*s + j*s**3 + 5*s**4.
5*(s + 1)**2*