 be the first derivative of j**6/21 + 6*j**5/35 - 3*j**4/7 - 52*j**3/21 - 27*j**2/7 - 18*j/7 + 674. Suppose m(l) = 0. Calculate l.
-3, -1, 3
Let m(z) be the second derivative of 19/2*z**2 - 1/330*z**5 - 2/33*z**3 + 16*z + 0 + 1/44*z**4. Let n(w) be the first derivative of m(w). Factor n(a).
-2*(a - 2)*(a - 1)/11
Let q = 2303/60 + -153/4. Let i(n) = 2*n**3 - 257*n**2 + 8216*n - 345. Let o be i(69). Find u such that q*u**3 + 0 - 2/15*u**4 + o*u + 0*u**2 = 0.
0, 1
Let t(w) = 2*w**3 + 21*w**2 - 12*w - 7. Let n be t(-10). Suppose 222*q = n*q + 18. Factor 2/5 - 28/5*x**q + 1/5*x.
-(4*x + 1)*(7*x - 2)/5
Let k(h) be the third derivative of 19*h**4/24 + 271*h**3/6 + 129*h**2. Let l be k(-14). Find v such that 0*v**3 + 0 + 0*v**2 + 2/3*v**l + 2/3*v**4 + 0*v = 0.
-1, 0
Let z(q) be the second derivative of 0 + 1/50*q**5 + 196/15*q**3 - 14/15*q**4 + 0*q**2 - 166*q. Find r such that z(r) = 0.
0, 14
Let o(r) be the first derivative of -r**6/3 + 4*r**5/5 + 2*r**4 - 4*r**3/3 - 3*r**2 + 708. Let o(b) = 0. What is b?
-1, 0, 1, 3
Let l = 419 - 347. Let 98*n**3 - 11*n**2 - 106*n**3 - 12*n**4 + 41*n**2 + 82*n**2 + l*n - 36 = 0. What is n?
-3, -1, 1/3, 3
Let y be (-944 + 954)/(0 - -35). Factor 648/7 - 72/7*q + y*q**2.
2*(q - 18)**2/7
Suppose -385017768004 + 2605568*h**3 + 1126332*h**3 - 1389915520*h**2 - 4460*h**4 + 11917*h**5 - 23833*h**5 + 195273823090*h + 11918*h**5 = 0. Calculate h.
2, 557
Let t(z) be the first derivative of 11*z**3 - 21*z**2/2 - 12*z + 1852. Factor t(c).
3*(c - 1)*(11*c + 4)
Let b(x) be the second derivative of -x**4/4 + 102*x**3 - 609*x**2/2 - 5921*x. Factor b(r).
-3*(r - 203)*(r - 1)
Let d(c) be the second derivative of c**4/4 + 41*c**3/6 + 54*c**2 + 56*c. Let o(g) = 3*g**2 + 42*g + 108. Let n(s) = 3*d(s) - 4*o(s). Solve n(v) = 0.
-12, -3
Let d(a) be the third derivative of 29/75*a**5 + 5/168*a**8 + 0 + 56*a**2 + 1/15*a**3 + 53/150*a**6 + 17/105*a**7 + 0*a + 13/60*a**4. Factor d(l).
2*(l + 1)**3*(5*l + 1)**2/5
Factor -535*n + 1241*n**2 + 2 - 266*n**2 - 32.
5*(5*n - 3)*(39*n + 2)
Suppose -1606 - 7069 = -6015*v + 9370. Factor -1/2*l**2 + 8 - v*l.
-(l - 2)*(l + 8)/2
Let 3/7*z**5 + 0 + 666/7*z**2 - 96*z**3 - 666/7*z**4 + 669/7*z = 0. Calculate z.
-1, 0, 1, 223
Factor -146793882*m**2 - 3230703263*m + 2072671875 + 4869226*m**3 + 467922522*m**2 + 1741793310*m**2 - 909763612*m + 3823*m**4 + m**5.
(m - 1)**2*(m + 1275)**3
Let h = -1670/549 - -29258/3843. Let 26/7*r + h*r**2 + 6/7 + 8/7*r**3 = 0. What is r?
-3, -1/2
Let d be 2*((-4)/(-14))/((-1)/(-7)). Let i = -39 + 41. Find v such that 0 - 4/5*v**i + 0*v - 4/5*v**d - 8/5*v**3 = 0.
-1, 0
Factor 29385/4*a**3 + 23256*a - 7803 + 603/4*a**4 - 91803/4*a**2 + 3/4*a**5.
3*(a - 1)**3*(a + 102)**2/4
Factor 184*y - 59*y + 10 - 52*y - 28 - y**2 - 64*y.
-(y - 6)*(y - 3)
Let f(n) be the first derivative of n**5/25 - 41*n**4/20 + 152*n**3/15 - 74*n**2/5 + 179. Factor f(w).
w*(w - 37)*(w - 2)**2/5
Let j = -4624 + 4624. Let i(v) be the second derivative of v + 0 - 1/30*v**6 + j*v**3 - 1/40*v**5 + 0*v**2 + 0*v**4 - 1/84*v**7. Factor i(f).
-f**3*(f + 1)**2/2
Let f(t) = 2*t. Let z(l) = 49*l**3 - 35112*l**2 + 20062*l - 2864. Let g(j) = -15*f(j) + 3*z(j). Determine c, given that g(c) = 0.
2/7, 716
Let m = 422181 - 422181. Find u, given that m*u + 8/7*u**4 + 0 - 4/7*u**3 + 0*u**2 - 4/7*u**5 = 0.
0, 1
Let d(h) = h**3 - 156*h**2 + 157*h - 308. Let g be d(155). Let c(k) be the first derivative of 0*k - g*k**2 - 20 + 2/3*k**3. Factor c(q).
2*q*(q - 2)
Let r = -16552 - -16556. Let a(j) be the first derivative of -4/21*j**2 + 40 - 8/7*j + 2/21*j**3 + 1/42*j**r. Factor a(h).
2*(h - 2)*(h + 2)*(h + 3)/21
Let s(a) be the first derivative of a**5/4 + 25*a**4/12 + 5*a**3 - 9*a - 45. Let u(i) be the first derivative of s(i). What is k in u(k) = 0?
-3, -2, 0
Let b be 150/(-9)*(-265)/848. Let i(a) be the third derivative of -14*a**2 - 25/32*a**4 - b*a**3 + 0 - 1/480*a**6 + 0*a - 1/16*a**5. Factor i(f).
-(f + 5)**3/4
Let i(m) be the second derivative of -5/27*m**4 + 0*m**2 - 2/135*m**6 - 7/54*m**3 - 1/10*m**5 + 0 + 1/378*m**7 + 22*m. Determine h, given that i(h) = 0.
-1, 0, 7
Let c(z) be the third derivative of -7/36*z**3 + 169*z**2 - 1/720*z**6 - 1/72*z**5 + 0*z + 13/144*z**4 + 0. Solve c(n) = 0.
-7, 1
Let h be ((-22)/(-121) - 2820/385) + (1 - -7). Let l be 120/2*20/175. Determine k so that 45/7*k + h - 72/7*k**3 + 69/7*k**2 - l*k**4 = 0.
-2, -1/4, 1
Let p(k) be the third derivative of -3/4*k**4 + 1/15*k**5 - 4*k**2 + 14 + 0*k - 6*k**3 + 1/60*k**6. Suppose p(h) = 0. What is h?
-3, -2, 3
Let h(p) be the third derivative of -1/420*p**7 + 1/120*p**5 + 1/1344*p**8 + 0*p**3 + 0 - 1/120*p**6 + 1/32*p**4 + p + 24*p**2. Factor h(t).
t*(t - 3)*(t - 1)*(t + 1)**2/4
Factor 102*q**2 - 2*q**4 + 463*q**3 - 184*q**3 - 179*q**3.
-2*q**2*(q - 51)*(q + 1)
Let j(m) be the second derivative of -10*m**7/63 + 47*m**6/90 - 23*m**5/60 - 13*m**4/36 + 7*m**3/18 + m**2/3 - 5*m + 35. What is q in j(q) = 0?
-2/5, -1/4, 1
Let c(d) be the first derivative of -d**6/8 + 153*d**5/20 - 96*d**4 - 869*d**3 - 2268*d**2 - 2352*d - 855. Solve c(o) = 0 for o.
-2, -1, 28
Suppose -g + 8 = -5*l, 4*g = -g + 3*l - 4. Let h be g*1/(-3) + 14/6. Let -h*r**4 - 6*r**5 - 35 + 36*r**3 - 30*r**2 - 31 - 6*r + 75 = 0. What is r?
-3, -1/2, 1
Factor -47523/8*z - 1/8*z**3 - 47961/8 + 437/8*z**2.
-(z - 219)**2*(z + 1)/8
Let h(a) = 5*a**4 - 23*a**3 - 17*a**2 - 5*a - 2. Let j(w) = 16*w**4 - 75*w**3 - 50*w**2 - 15*w - 7. Let p(n) = -35*h(n) + 10*j(n). Factor p(x).
-5*x*(x - 5)*(x + 1)*(3*x + 1)
Let h be 3/(-6) + (-452)/8. Let i = -8 - h. Factor 13*x**2 - 4*x**3 + 12 - 14*x - 6*x**3 - i*x**2.
-2*(x + 1)*(x + 3)*(5*x - 2)
Suppose -5*n + 7 = m, m + 6 = 3*m + 2*n. Suppose 10*g**2 - 48 + 108*g - 100*g**m + 27*g**3 - 3*g**4 + 6*g**2 = 0. What is g?
1, 2, 4
Let u(g) = g**3 + 11*g**2 + 5*g - 44. Let j be u(-10). Let m(f) = -2*f**2 + f. Let o(k) = -5*k**2 + 3*k. Let h(a) = j*m(a) - 3*o(a). Factor h(q).
3*q*(q - 1)
Suppose q**2 - 48/7 + 5/7*q = 0. What is q?
-3, 16/7
Let s(b) be the first derivative of -b**3/3 - 9*b**2/2 - 8*b - 1055. What is i in s(i) = 0?
-8, -1
Let f(v) = -2*v + 10*v + 56 - 184 + 5*v. Let m be f(10). Solve -2/5*w**2 - 12/5 - m*w = 0 for w.
-3, -2
Factor -416 - 857*h**2 + 429*h**2 + 430*h**2 - 204*h.
2*(h - 104)*(h + 2)
Let j = -39 - -37. Let h be (1*-24)/(j/(3 + 1)). Factor -h - a**3 - 3*a**2 + 52 + 0*a**3.
-(a - 1)*(a + 2)**2
Let z = -177 - -343. Factor 34*c**4 + 74*c**5 + 244*c**2 - z*c - 148*c**5 - 91*c**3 + 42 + 76*c**5 - 65*c**3.
2*(c - 1)**4*(c + 21)
Find l such that -40/11 - 6/11*l**3 - 144/11*l - 74/11*l**2 = 0.
-10, -2, -1/3
Let j(r) be the first derivative of 5*r**3 + 1015*r**2 - 4120*r + 650. Factor j(u).
5*(u - 2)*(3*u + 412)
Let v(r) be the second derivative of -r**6/900 - r**5/150 - r**4/60 + 107*r**3/3 + 198*r. Let u(c) be the second derivative of v(c). Factor u(q).
-2*(q + 1)**2/5
Let y(c) be the third derivative of -c**8/42 + 71*c**7/210 + 17*c**6/120 - 71*c**5/60 - 3*c**4/8 - 5784*c**2. Let y(h) = 0. Calculate h.
-1, -1/8, 0, 1, 9
Let v = 27474 - 27464. Let s(x) be the first derivative of -v*x**2 - x**5 - 20*x + 14 + 5/2*x**4 + 5*x**3. Find q, given that s(q) = 0.
-1, 2
Let u(p) = 2*p**2 - 12224*p - 159195. Let j be u(-13). Factor 5/4*t**2 + 30*t + j.
5*(t + 2)*(t + 22)/4
Let a(h) be the third derivative of -11/270*h**5 + 1/1512*h**8 + 0*h - 1/27*h**4 + 0*h**3 + 3*h**2 - 1/945*h**7 - 31 - 1/60*h**6. What is m in a(m) = 0?
-1, 0, 4
Let h = 10409/1240 + 299/248. Solve h + 1/5*s**3 - 8/5*s - s**2 = 0 for s.
-3, 4
Let y be 0 - 6 - (87210/(-209))/51. Suppose -2/11*x**3 + 36/11 + y*x**2 - 58/11*x = 0. Calculate x.
1, 2, 9
Let x be 104/26 + (1 - -2). Let w(h) be the second derivative of 3/2*h**2 + 0 - 5/16*h**4 + x*h + h**3. Factor w(c).
-3*(c - 2)*(5*c + 2)/4
Find p, given that 18/7 + 4260/7*p + 252050/7*p**2 = 0.
-3/355
Suppose 3*l = -4*n + 5*n + 12, 3*n + 2*l + 3 = 0. Let z be 19/532 - n/12. Suppose -2/7*p**4 + z*p**3 + 0*p + 0*p**2 + 0 = 0. What is p?
0, 1
Let k be 2/2 - (1170 + 192). Let h = -1360 - k. Solve -3*l + h - 7/4*l**2 = 0.
-2, 2/7
Let y be (100/(-30))/((-35)/90). Solve 2/7*o**2 + y*o + 450/7 = 0.
-15
Let u = 2/197921 - -791674/989605. Let -u*l**2 + 0 + 4/5*l + 1/5*l**3 = 0. Calculate l.
0, 2
Let t(s) = s**2 + 422*s - 1272. Let i be t(3). Factor 0*v + 8/5*v**2