- ((-1320)/(-25) - 23). What is u in -m*u**2 - 4/5 - 4/5*u = 0?
-2
Let b(p) be the second derivative of -p**6/6 - 35*p**5/4 - 165*p**4/4 - 485*p**3/6 - 80*p**2 - 1688*p. Factor b(l).
-5*(l + 1)**3*(l + 32)
Let z(y) be the second derivative of -y**4/66 - 12*y**3/11 + 576*y**2/11 + y + 4244. Let z(p) = 0. Calculate p.
-48, 12
Let t be (-399)/(-5535) - 19/285. Let r = 700/7011 + t. Let 0*j + 4/19*j**4 + 0 - 2/19*j**3 - 4/19*j**2 + r*j**5 = 0. Calculate j.
-2, -1, 0, 1
Let n = -2475 + 2488. Let u(v) be the first derivative of 4/7*v + 2/3*v**3 - 9/7*v**2 + n. Find h, given that u(h) = 0.
2/7, 1
Let a = 1081 - 1081. Suppose a = 4*n + 4, 3*w - 4*n - 16 + 3 = 0. Factor 3/4*z**w + 9/4 + 21/4*z + 15/4*z**2.
3*(z + 1)**2*(z + 3)/4
Let x(p) be the third derivative of 0*p + 0 + 1/30*p**5 + 12*p**3 - 26*p**2 + p**4. Factor x(g).
2*(g + 6)**2
Let g(w) = w**3 + 120*w**2 + 580*w + 585. Let n be g(-115). Factor n*x**2 - 5/4*x**4 - 25/4*x**3 + 0 + 60*x.
-5*x*(x - 3)*(x + 4)**2/4
Let t(m) be the first derivative of -13*m**6/3 + 116*m**5/5 + 105*m**4 + 304*m**3/3 - 29*m**2 - 84*m - 445. Determine h so that t(h) = 0.
-1, 6/13, 7
Let z(a) be the third derivative of 6*a**2 - 7/54*a**4 + 0*a**3 + 0 + 1/540*a**6 + 14*a - 1/54*a**5. Factor z(s).
2*s*(s - 7)*(s + 2)/9
Factor -10/3*i + 23/2 - 1/6*i**2.
-(i - 3)*(i + 23)/6
What is x in 4*x**2 - 66*x + 106343 - 722*x + 7901 - 564*x = 0?
169
Factor 306 + k - 198 + 12*k + 2*k - 3*k**2.
-3*(k - 9)*(k + 4)
Let m(v) = -v**3 - 14*v**2 - 47*v - 35. Let j be m(-10). Suppose 5*y + 3 = -k, j*k - 39*k + 5 = 3*y. Factor 0 + 0*i + 25/4*i**k - 5/2*i**3 + 1/4*i**4.
i**2*(i - 5)**2/4
Let 4*r**4 - 410*r**3 + 2305*r**2 + 2135*r**2 - 14560*r + 5*r**4 - 14*r**4 + 433 + 14287 = 0. What is r?
-92, 2, 4
Let h(u) be the first derivative of -2*u**5/5 - 41*u**4/3 + 1414*u**3/27 - 388*u**2/9 + 40*u/3 - 1332. Suppose h(r) = 0. What is r?
-30, 1/3, 2
Suppose 118/5*d + 2/5*d**2 + 312 = 0. Calculate d.
-39, -20
Suppose -4*i - 10*u = -13*u, -i + 4*u = 0. Let q(p) be the first derivative of 0*p + i*p**3 + 0*p**5 - 2/7*p**4 + 2/21*p**6 - 10 + 2/7*p**2. Factor q(j).
4*j*(j - 1)**2*(j + 1)**2/7
Let i(c) be the second derivative of 3 + 8/9*c**3 + 1/54*c**4 + 16*c**2 - 13*c. Factor i(q).
2*(q + 12)**2/9
Let i(u) be the second derivative of 6*u**5/5 + 1955*u**4 + 7817*u**3/4 + 2931*u**2/4 - 4094*u. Find q such that i(q) = 0.
-977, -1/4
Let b be 5 - 6 - -3 - ((-50)/30)/(-1). Suppose b*u - 1/9*u**2 + 0 = 0. What is u?
0, 3
Let g(m) be the third derivative of -2*m - 24*m**2 - 19/1155*m**7 + 1/330*m**5 + 0*m**3 + 0 + 2/55*m**6 + 1/924*m**8 - 2/33*m**4. Suppose g(f) = 0. Calculate f.
-1/2, 0, 1, 8
Let j(n) be the first derivative of n**6/288 + 7*n**5/96 + 5*n**4/8 - 53*n**3/3 - 37. Let w(t) be the third derivative of j(t). Factor w(l).
5*(l + 3)*(l + 4)/4
Suppose 23 = 4*q - z, -4*q + 22 + 26 = 4*z. Let w be (0*(-1)/q)/(2 - -1). Factor 1/9*i**4 + 0*i**2 + 1/9*i**5 + w*i + 0*i**3 + 0.
i**4*(i + 1)/9
Let f(a) be the third derivative of -a**6/240 - 23*a**5/60 - 57*a**4/16 - 21*a**3/2 - 7*a**2 + 5*a - 3. Factor f(m).
-(m + 1)*(m + 3)*(m + 42)/2
Let a(y) be the first derivative of -1/3*y**5 + 0*y + 3/4*y**4 + 219 + 1/18*y**6 + 1/3*y**2 - 7/9*y**3. Factor a(o).
o*(o - 2)*(o - 1)**3/3
Let d(s) = -44*s + 283. Let y be d(31). Let f = y - -1084. Factor 3/5*a**2 + f*a + 18/5.
3*(a + 2)*(a + 3)/5
Let x(m) be the first derivative of 1875*m**4/16 + 3275*m**3/4 + 819*m**2 - 4563*m + 445. Solve x(f) = 0 for f.
-78/25, 1
Suppose 0 = 7*i - 222 + 68. Suppose 13*v - i - 82 = 0. Let -v + 3*h - 3*h + 2*h**2 + 0*h = 0. Calculate h.
-2, 2
Let m(l) = 1268*l + 10. Let f be m(-3). Let u be (f/(-4))/(3/12). Determine v, given that -2*v**3 + 1 - 3794*v**2 + 2*v - v**4 + u*v**2 = 0.
-1, 1
Let i(t) = 8*t**3 + 256*t**2 - 7910*t + 21610. Let c(l) = 2*l**3 + 2*l**2 + 2*l + 2. Let a(j) = -5*c(j) + i(j). Solve a(m) = 0 for m.
3, 60
Let t(y) be the third derivative of -y**6/420 - 3*y**5/35 - 17*y**4/84 + 2518*y**2 - 2*y. Determine w, given that t(w) = 0.
-17, -1, 0
Factor 122500*u - 57973*u**2 + 188*u**4 - 190*u**4 - 696*u**3 - 1877*u**2.
-2*u*(u - 2)*(u + 175)**2
Let d(o) = -5*o**2 - 4*o + 36. Let y(p) = 12*p**2 + 7*p - 70. Let f(s) = -5*d(s) - 2*y(s). What is c in f(c) = 0?
-10, 4
Let b(h) = -2*h**2 - 97*h - 141. Let r be b(-47). Let f(l) be the second derivative of 0*l**2 + 1/15*l**3 + r + 1/30*l**4 + 32*l. Factor f(n).
2*n*(n + 1)/5
Let x(l) be the first derivative of 2*l**3/21 + 232*l**2/7 + 26912*l/7 + 2257. Factor x(i).
2*(i + 116)**2/7
Let m(n) = -15*n**3 - 95*n**2 - 175*n - 80. Suppose -38*y - 18 = -44*y. Let j(k) = -8*k**3 - 47*k**2 - 88*k - 40. Let b(f) = y*m(f) - 5*j(f). Factor b(l).
-5*(l + 1)**2*(l + 8)
Let y(x) = 3*x**3 - 2278*x**2 + 435480*x + 437761. Let u(s) = s**3 - 759*s**2 + 145160*s + 145920. Let z(l) = 11*u(l) - 4*y(l). Factor z(i).
-(i - 382)**2*(i + 1)
Let f be ((-9)/189*-7)/(((-132)/(-18))/11). Let 6*x**2 + f*x**5 + 3*x**4 + 0 + 13/2*x**3 + 2*x = 0. Calculate x.
-2, -1, 0
Let s be -2*1 + 18 + 4 + -3. Suppose -13*l = -9 - s. Factor -12 - l*o**2 - 6*o - 9*o**3 - 8*o**3 + 21*o**3 - 20*o.
2*(o - 3)*(o + 2)*(2*o + 1)
Let c(q) be the third derivative of -q**5/150 - 17*q**4/60 - 52*q**3/15 + 5*q**2 + 512. Factor c(y).
-2*(y + 4)*(y + 13)/5
Suppose 5*i - 201 - 99 = 0. Suppose -7*t = 8*t - i. Find y such that 9/7*y**t + 0 + 3/7*y**2 + 0*y - 3/7*y**5 - 9/7*y**3 = 0.
0, 1
Let n = -2799 + 176342/63. Let q(v) be the second derivative of 1/9*v**4 + 4/15*v**6 - 15*v + 0*v**3 + 0 - 3/10*v**5 + 0*v**2 - n*v**7. Factor q(o).
-2*o**2*(o - 1)**2*(5*o - 2)/3
Let g(l) be the second derivative of 0 + 5/12*l**4 + 30*l**2 + 20/3*l**3 + 11*l. Suppose g(v) = 0. Calculate v.
-6, -2
Let h = 427 + -415. Let l be 100/(-28) + h/3. Factor l*p**4 + 18/7*p + 1/7*p**5 + 0 - 15/7*p**2 - p**3.
p*(p - 2)*(p - 1)*(p + 3)**2/7
Let q(r) = -5*r**2 - 989*r - 886. Let u(l) = 3*l**2 + 501*l + 442. Let b(h) = -4*q(h) - 7*u(h). Factor b(f).
-(f - 450)*(f + 1)
Let u(l) = 4*l**3 + 52*l**2 + 21*l - 67. Let t(w) = 4*w**3 + 48*w**2 + 24*w - 68. Let j(f) = 5*t(f) - 4*u(f). Factor j(i).
4*(i - 1)*(i + 3)*(i + 6)
Let w = 192 - 192. Suppose -33*h - 33*h = w. Solve 2/9*g + 2/9*g**2 + h = 0.
-1, 0
Let b(h) be the third derivative of 2/25*h**6 - 8/15*h**4 - 4/75*h**5 + 0*h + 3/175*h**7 + 0 + 16/15*h**3 + 27*h**2. Suppose b(i) = 0. Calculate i.
-2, 2/3
Determine i, given that -72 - 3/4*i**5 + 159*i - 117*i**2 + 0*i**4 + 123/4*i**3 = 0.
-8, 1, 2, 3
Suppose 0 = 2*a - 3*i + 6, -3*a - 2*i = 2*i - 25. Solve -7 + 39 - 7*s - 20*s**2 - s - 4*s**a = 0 for s.
-4, -2, 1
Let w(i) = 705*i + 181892. Let p be w(-258). Solve 2*o + 10/3*o**p - 6 + 2/3*o**3 = 0.
-3, 1
Let f be (33/44)/(6/(-48)). Let q(s) = -s**3 - s**2 - s. Let n(o) = -10*o**3 - 17*o**2 + 9. Let x(j) = f*q(j) + n(j). Factor x(y).
-(y - 1)*(y + 3)*(4*y + 3)
Let g(p) = 6*p**4 + 28*p**3 + 1774*p**2 - 9128*p - 415864. Let q(w) = -5*w**4 - 27*w**3 - 1774*w**2 + 9127*w + 415865. Let f(s) = 7*g(s) + 8*q(s). Factor f(y).
2*(y - 24)**2*(y + 19)**2
Let p(n) be the first derivative of -4*n**5/5 + 27*n**4/4 + 11*n**3/3 - 27*n**2/2 - 7*n + 1907. Determine g so that p(g) = 0.
-1, -1/4, 1, 7
Let d(s) be the second derivative of -s**5/100 - 97*s**4/15 - 77*s**3/6 + 387*s**2/5 + 2744*s. Factor d(h).
-(h - 1)*(h + 2)*(h + 387)/5
Factor -42 - 3/7*o**2 + 9*o.
-3*(o - 14)*(o - 7)/7
Suppose l = 3*o - 6, 693 - 657 = 3*o + 4*l. Find d, given that 88/9 + o*d - 4/9*d**2 = 0.
-2, 11
Let z(d) = 38*d**2 + 4214*d - 1682. Let v(t) = 62*t**2 + 4214*t - 1681. Let r(j) = -2*v(j) + 3*z(j). Factor r(h).
-2*(h - 421)*(5*h - 2)
Let c(j) be the first derivative of j**6/3 - 68*j**5/5 + 115*j**4/2 + 100*j**3 + 2964. Find a, given that c(a) = 0.
-1, 0, 5, 30
Let v = 220 - 217. Let b(f) = 5*f**2 + 23*f + 3. Let m(q) = 16*q**2 + 70*q + 10. Let t(k) = v*m(k) - 10*b(k). Let t(p) = 0. Calculate p.
-10, 0
Let s(y) be the third derivative of -8*y**7/1365 + 7*y**6/156 - 22*y**5/195 + y**4/13 + 2*y**2 + 350*y. Find x, given that s(x) = 0.
0, 3/8, 2
Let i(f) be the second derivative of -1/30*f**4 - 142*f + 0 + 0*f**2 + 16/15*f**3. Factor i(g).
-2*g*(g - 16)/5
Suppose -211*c = 2*q - 214*c - 7, 3*c - 3 = -3*q. Suppose 1/5*r**q + 6 + 17/5*r = 0. What is r?
-15, -2
Let i(v) = 4*v**4 + 4*v**2 - 6*v + 4. Let a be 2/(-4)*(-22 + 20). Let f(l) 