f) = 0.
-17/4, 2
Suppose 671*m = 664*m - 259. Let o be (m + 31 - 26/(-6))*-3. Factor -24/5*v**3 + 22/5*v + 2/5*v**o + 12/5 - 8/5*v**4 - 4/5*v**2.
2*(v - 6)*(v - 1)*(v + 1)**3/5
Suppose -l + 3*t - 1 = 3, -3*t = 4*l - 14. Factor -5*j**2 + 2*j + 0*j**l - 16*j - 11*j.
-5*j*(j + 5)
Let x(i) be the second derivative of i**7/14 - 3*i**6/5 - 39*i**5/20 + 21*i**4/2 + 47*i - 1. Factor x(n).
3*n**2*(n - 7)*(n - 2)*(n + 3)
Determine n so that -5312516 - 12330*n - 15203*n**2 - 7356559 + 15200*n**2 = 0.
-2055
Let j = -464 - -476. What is i in 152*i**2 - 143*i**2 + 12*i - 12*i**4 - j*i**3 + 6 - 3 = 0?
-1, -1/2, 1
Let c = -30630 - -30636. Let q(z) be the second derivative of -27*z + 0*z**3 + 2/105*z**7 + 0*z**c + 0*z**2 + 0*z**4 + 0 - 1/25*z**5. Let q(u) = 0. What is u?
-1, 0, 1
Let p(g) be the first derivative of 58*g**3/9 - 404*g**2/3 - 56*g/3 + 1625. Factor p(w).
2*(w - 14)*(29*w + 2)/3
Let t be 5682/(-12480) - 12/(-26). Let u(b) be the third derivative of 37*b**2 - b**3 - t*b**6 + 0*b + 0 - 3/8*b**4 - 3/40*b**5. Factor u(o).
-3*(o + 2)**3/4
Let g be 126/252*(-2 - -2). Let s(m) be the second derivative of 0*m**2 + 1/66*m**4 + 0 + 1/165*m**6 - 16*m + 1/55*m**5 + g*m**3. Solve s(d) = 0 for d.
-1, 0
Let r(h) be the third derivative of 2*h**7/315 - h**6/90 - 7*h**5/15 + 5*h**4/2 + 243*h**2 + 3. Determine y so that r(y) = 0.
-5, 0, 3
Let f(g) be the first derivative of g**6/3 + 26*g**5/5 - 81*g**4/2 - 3106*g**3/3 - 4760*g**2 - 6600*g - 10776. Find p such that f(p) = 0.
-10, -3, -1, 11
Determine j so that -910104*j**2 - 1831696*j + 3824*j**3 - 19367 - 9*j**4 - 898397 + 5*j**4 = 0.
-1, 479
Let h(n) be the first derivative of -2*n**3/3 + 11*n**2 + 84*n + 609. Factor h(f).
-2*(f - 14)*(f + 3)
Suppose 1449/5*r**2 - 876/5*r**3 + 21/5*r**4 - 354/5*r - 48 = 0. What is r?
-2/7, 1, 40
Let f(d) be the first derivative of -d**4/3 + 56*d**3/9 + 184*d**2 + 1248*d + 2253. Factor f(z).
-4*(z - 26)*(z + 6)**2/3
Let l(m) = 2*m**2 + 444*m - 305. Let h(i) = i**2 + 398*i - 305. Let n(u) = 3*h(u) - 2*l(u). Factor n(o).
-(o - 305)*(o - 1)
Let o(p) be the third derivative of 71*p**2 + 0 - 1/15*p**5 + 0*p + 0*p**3 + 1/3*p**4. What is x in o(x) = 0?
0, 2
Let q(l) = -l**3 - 40*l**2 - 150*l + 147. Let b(o) = -8*o**2 - 30*o + 30. Let n(w) = -11*b(w) + 2*q(w). Factor n(z).
-2*(z - 6)*(z - 1)*(z + 3)
Let z(p) = -40*p**2 - 109*p - 1445. Let q(k) = 6*k**2 + 18*k + 240. Let u(m) = 19*q(m) + 3*z(m). Suppose u(x) = 0. Calculate x.
-5, 15/2
Factor 4*d**2 + 489 + 328*d + 214 + 669 - 197 + 365.
4*(d + 5)*(d + 77)
Let t(v) be the second derivative of -v**7/42 - 3*v**6/5 + 19*v**5/2 - 113*v**4/3 + 137*v**3/2 - 65*v**2 - 2545*v. Factor t(k).
-(k - 5)*(k - 1)**3*(k + 26)
Let g(k) = -419 + 17*k**2 - 11*k**3 + 30*k + 419. Let h(n) = -31*n**3 + 51*n**2 + 92*n. Let o(i) = -17*g(i) + 6*h(i). Factor o(s).
s*(s + 3)*(s + 14)
Let m = 3013/133 - 2994/133. Factor 2*z**2 - 9/7*z**3 + m*z**5 - 6/7*z**4 + 0 + 0*z.
z**2*(z - 7)*(z - 1)*(z + 2)/7
Factor -2/9*b**2 - 16/9 + 2*b.
-2*(b - 8)*(b - 1)/9
Find d, given that 97*d**3 - 128*d + 65*d**3 + 34*d**2 + 96 - 164*d**3 = 0.
1, 4, 12
Let z(x) = -5*x**4 - 3*x**3 - 2*x**2 - 4. Suppose 23*y = -42 + 502. Let v(g) = -g**4 + g**3 + g**2 - 1. Let p(n) = y*v(n) - 5*z(n). Solve p(t) = 0.
-6, -1, 0
Let r be (-34)/51 + (-24)/(-9). Suppose 2*m - 3*c - 19 = 0, m - r*c - 3 - 9 = 0. Factor -8*w**m - 44/3*w - 4/3*w**3 - 8.
-4*(w + 1)*(w + 2)*(w + 3)/3
Let g(k) = 15*k - 9. Let m be g(-1). Let z be 11/(539/14) - m/14. Factor 0 - w**3 + 6/5*w + 13/5*w**z.
-w*(w - 3)*(5*w + 2)/5
What is r in -8/5*r**4 + 0 - 6/5*r**3 + 8/5*r - 2/5*r**5 + 8/5*r**2 = 0?
-2, -1, 0, 1
Suppose 0*w = 2*w - 4. Let g = -23/366 + 14/61. Factor 6 + g*q**w + 2*q.
(q + 6)**2/6
Let t(h) = -18*h**4 + 78*h**3 + 898*h**2 - 1830*h + 960. Let j(u) = u**4 + u**3 - 11*u**2 - u - 1. Let m(a) = 8*j(a) + t(a). Let m(y) = 0. What is y?
-7, 1, 68/5
Factor -5122*l + 343*l**2 + 5037*l - 342*l**2 + 750.
(l - 75)*(l - 10)
Let g = 106681/2 + -53339. Find b such that 15 + g*b**3 - 21/2*b - 6*b**2 = 0.
-2, 1, 5
Let c(r) be the first derivative of 12*r**2 - 67 + 4/3*r**3 + 20*r. Factor c(a).
4*(a + 1)*(a + 5)
Let x(l) = -l**2 - 10*l - 9. Let d be x(-9). Suppose -12*m = 25*m + 234 - 567. Factor m*b**3 + 3/2*b**5 + d + 3/2*b - 6*b**2 - 6*b**4.
3*b*(b - 1)**4/2
Let f = 53 + -47. Let p be (30/18 - -1)*f/4. Find c, given that 419*c**2 - 2*c**p - 419*c**2 = 0.
0
Let d be (22842/(-6345))/(22/(-10)). Let r be -3*6/9*-1. Factor -24/11 + d*h**3 - 6*h**r + 72/11*h.
6*(h - 2)*(h - 1)*(3*h - 2)/11
Let h be 6*28/(-12) + 440/28. Factor -1/7*l**2 + 13/7 - h*l.
-(l - 1)*(l + 13)/7
Let p(x) be the third derivative of 1/14*x**3 + 1/420*x**5 + 3*x**2 - 1/42*x**4 + 0 - 2*x. Factor p(w).
(w - 3)*(w - 1)/7
Factor 104/11*l + 26/11*l**2 - 128/11 - 2/11*l**3.
-2*(l - 16)*(l - 1)*(l + 4)/11
Let z(v) be the third derivative of 5/8*v**4 - 1/6*v**5 + 0*v**3 - 1/24*v**6 + 77*v**2 + 0 + 0*v. Factor z(a).
-5*a*(a - 1)*(a + 3)
Let l = 47 + -28. Suppose l = 5*t + 4. Factor -2*m**3 + m**3 - t*m**3 + 4*m**4.
4*m**3*(m - 1)
Let j be 3333/330 - (-3)/(-30). Let q(p) be the first derivative of 2/75*p**5 + 2/15*p**3 + 2/15*p**4 - j + 0*p**2 + 0*p. Suppose q(r) = 0. Calculate r.
-3, -1, 0
Determine k, given that -29*k**3 - 307*k - 388*k - 638*k + 544*k**2 + 25*k**3 - 1608 + 273*k = 0.
-1, 3, 134
Let i(t) be the third derivative of -t**8/504 + t**7/45 - t**6/18 - 3*t**2 + 75*t. Find h such that i(h) = 0.
0, 2, 5
Let q(i) be the second derivative of i**5/80 + i**4/2 + 15*i**3/8 - 675*i**2/4 + 11921*i. Factor q(m).
(m - 6)*(m + 15)**2/4
Let f = 942 - 939. Let r be f*(-335)/(-105) + -7. What is i in r*i**3 + 2/7*i**4 + 48/7 + 88/7*i + 60/7*i**2 = 0?
-3, -2
Factor 315/8 + 6*w - 3/8*w**2.
-3*(w - 21)*(w + 5)/8
Let i(p) = -2*p**3 + 66*p**2 + 171*p + 180. Let m(v) = -v**3 + 48*v**2 + 114*v + 120. Let q(r) = -5*i(r) + 7*m(r). Factor q(s).
3*(s - 4)*(s + 1)*(s + 5)
Let z be (-704)/(-128)*-8*1. Let i be ((-33)/z)/((-1)/(-4)). Suppose 0 - 8/5*j**2 + 8/5*j + 2/5*j**i = 0. What is j?
0, 2
Let d(s) = -14*s**3 - 105*s**2 + 107*s + 228. Let p(u) = 3*u**3 - u**2 - 2. Let a(v) = -d(v) - 5*p(v). What is w in a(w) = 0?
-1, 2, 109
Let 3/4*s**4 + 3867/4*s**2 + 13221/4*s + 4563/2 - 225/4*s**3 = 0. What is s?
-2, -1, 39
Let f be ((-1)/(-1))/(13/52). Let j be (f/5 - 0)/((-54)/(-135)). Determine v so that -j*v**2 + 5*v**3 + 40 - 40 = 0.
0, 2/5
Let d(f) = -f + 7 + 4 - 3*f - f**2 - 13. Let r be d(-2). Let 18*p**2 + 8 + 15*p**r + 32*p - 19*p**2 = 0. What is p?
-2, -2/7
Let f = -239 + 245. Determine r, given that -5*r**4 - 9*r - 3*r**4 + 3*r**4 + 3*r**2 - f + 8*r**4 + 9*r**3 = 0.
-2, -1, 1
Suppose 5*w - 226 = 214. Factor 11*n**2 + w*n - 484 - 6*n**2 - 9*n**2.
-4*(n - 11)**2
Suppose 5*m = -3*d + 122 - 137, 3*m = -2*d - 11. Determine f, given that 4/7*f**2 - 2/7*f**4 - 6/7*f**m + 24/7*f + 16/7 = 0.
-2, -1, 2
Let r(h) be the first derivative of -h**6/140 - h**5/60 + h**4/42 + 46*h**3 - 127. Let o(t) be the third derivative of r(t). Find y, given that o(y) = 0.
-1, 2/9
Let k(n) be the first derivative of 7/12*n**4 + 0*n**2 + 4/3*n**3 + 1/1260*n**6 + 11 - 1/30*n**5 + 0*n. Let m(y) be the third derivative of k(y). Factor m(o).
2*(o - 7)**2/7
Determine b, given that 162*b**4 - 81 - 279*b**3 + 57*b**2 - 232*b**4 + 3 + 132*b + 147*b + 91*b**4 = 0.
-1, 2/7, 1, 13
What is c in 195 + 264*c - 2121/4*c**2 + 285/4*c**3 = 0?
-2/5, 1, 130/19
Suppose 0*j + 0 - 53/5*j**2 - 52/5*j**3 + 1/5*j**4 = 0. What is j?
-1, 0, 53
Factor 1/2*y**3 - 47/2 + 47/2*y**2 - 1/2*y.
(y - 1)*(y + 1)*(y + 47)/2
Suppose 16/3*z**3 + 904/3*z**2 + 56/3 + 449/3*z = 0. What is z?
-56, -1/4
Let k be (-16 + 24 - 1 - 18) + 273/15. Factor -k + 18/5*r + 2*r**3 + 64/5*r**2.
2*(r + 1)*(r + 6)*(5*r - 3)/5
Let f be 1 - 5 - (-220)/33. Suppose 15*t + 45 - 160 = -70. What is o in 2 - o**t + 5/3*o - f*o**2 = 0?
-3, -2/3, 1
Let u(i) be the second derivative of -2*i**6/5 - 3*i**5/20 + 4*i**4 + 2*i**3 - 1940*i. Determine j, given that u(j) = 0.
-2, -1/4, 0, 2
Let o(u) = -3*u**3 + 8*u**2 - 7*u + 2. Let s(v) = 0 - 8*v + 13*v**2 + 7*v**2 + 3 - 13*v**2 - 2*v**3. Let n(g) = 3*o(g) - 2*s(g). Solve n(j) = 0.
0, 1
Let d(m) = -m - 1. Let k(x) = -x**2 - 12*x + 1. Let u(o) = -o**2 - o - 1. Let t(c) = -3*k(c) + 6*u(c). Let z(w) = 9*d(w) - t(w). Solve z(r) = 0 for r.
0, 13
Let l = 32