the first derivative of 9/4*m**2 - p*m**3 + 0*m - 1/20*m**5 + 1/2*m**4 - 12. Determine f so that t(f) = 0.
0, 2, 3
Let p(f) = -20*f**2 - 1164*f - 1192. Let z(a) = 2*a**2 - 3*a + 1. Let s(n) = -p(n) - 8*z(n). Factor s(l).
4*(l + 1)*(l + 296)
Let q(s) be the first derivative of 2/3*s**3 + 0*s + 1/60*s**5 - 15/2*s**2 - 12 + 5/24*s**4. Let d(w) be the second derivative of q(w). Factor d(f).
(f + 1)*(f + 4)
Suppose 4*w - 3 = -25*x + 24*x, -2*x = 5*w. Suppose w*y - 5*k + 15 = 0, -2*y = 5*k - 0*k - 15. Factor 16/7 - 4/7*o**2 + y*o.
-4*(o - 2)*(o + 2)/7
Let u be -39 - 35535/(-805) - (-1 + 6). Factor -8*a - 112 - u*a**2.
-(a + 28)**2/7
Let l(s) be the second derivative of -1/90*s**5 - 1/18*s**4 + 15 + 0*s**2 + 0*s**3 + 2*s. Factor l(b).
-2*b**2*(b + 3)/9
Let k(o) = 89*o - 6495. Let v be k(73). Let z(p) be the first derivative of 0*p**v + 14/95*p**5 + 2/57*p**6 + 22 - 8/57*p**3 + 2/19*p**4 + 0*p. Factor z(y).
2*y**2*(y + 2)**2*(2*y - 1)/19
Let j(q) be the first derivative of q**5/5 + 261*q**4/2 + 520*q**3/3 - 261*q**2 - 521*q - 6545. Let j(r) = 0. What is r?
-521, -1, 1
Factor 209/5*m**2 - 2205 - 2163*m - 1/5*m**3.
-(m - 105)**2*(m + 1)/5
Let p(v) be the first derivative of -16*v**3/21 - 7*v**2 - 82*v/7 + 3594. Factor p(h).
-2*(h + 1)*(8*h + 41)/7
Determine x so that 20/3*x**3 - 2/9*x**4 + 130/9*x**2 - 20/3*x - 128/9 = 0.
-2, -1, 1, 32
Let o(r) = -7*r**2 - 6638*r - 1898. Let u(q) = -28*q**2 - 19916*q - 5695. Let v(a) = 7*o(a) - 2*u(a). Factor v(z).
(z - 948)*(7*z + 2)
Factor -140/3*a - 1/6*a**4 - 11/6*a**3 + 83/3*a**2 + 0.
-a*(a - 7)*(a - 2)*(a + 20)/6
Let m(u) be the second derivative of 5*u**7/462 - 7*u**6/330 - 2*u**5/55 + u**4/33 + 289*u + 3. Let m(b) = 0. What is b?
-1, 0, 2/5, 2
Let v be 1*12 - 55692/4662 - (-66)/148. Let v*q + 1/6*q**3 + 2/3*q**2 + 0 = 0. Calculate q.
-3, -1, 0
Let j(u) be the third derivative of 4*u**7/105 - u**6/60 - 17*u**5/60 + u**4/3 + u**3/2 + u**2 + 276. Solve j(n) = 0 for n.
-3/2, -1/4, 1
Let -13311 + 6084 - 562*i**2 + 39198*i + 46989 + 2*i**3 = 0. Calculate i.
-1, 141
Let g(w) be the first derivative of -5*w**3/3 + 1725*w**2 - 595125*w - 1092. Solve g(m) = 0.
345
Let 3/2*j**3 - 387/2*j - 357/2 - 27/2*j**2 = 0. Calculate j.
-7, -1, 17
Suppose 43129 - 1994 = -19*p. Let o = 12991/6 + p. Let 0 + 11/6*i - o*i**2 = 0. Calculate i.
0, 11
Let t(u) be the first derivative of -u**3/6 + 339*u**2/2 - 114921*u/2 - 531. Solve t(k) = 0.
339
Let 32 + 488/5*b + 216/5*b**2 - 14/5*b**3 - 2*b**4 = 0. Calculate b.
-4, -2, -2/5, 5
Suppose 38*a = 39*a - 1 - 2. Let g(i) be the third derivative of 1/1020*i**6 + 0 - 9*i**2 + 1/51*i**a - 1/204*i**4 - 1/510*i**5 + 0*i. Factor g(m).
2*(m - 1)**2*(m + 1)/17
Let w(r) = r**3 + 10*r**2 + 15*r + 37. Let n be w(-9). Let v be (n/(-34))/(68/16). Factor 32/17*u**3 - 16/17*u**2 - v - 14/17*u.
2*(u - 1)*(4*u + 1)**2/17
Let d(t) = -9*t**2 - 243*t + 497. Let y(s) = -11*s**2 - 241*s + 496. Let i(v) = 6*d(v) - 5*y(v). Let i(n) = 0. Calculate n.
2, 251
Let q(r) be the second derivative of r**6/240 - 7*r**5/160 + r**4/8 - 263*r - 1. Find d, given that q(d) = 0.
0, 3, 4
Let w(i) be the second derivative of i**7/77 + 48*i**6/55 - 213*i**5/5 + 5844*i**4/11 - 1717*i**3 + 2376*i**2 + 9947*i. Find t such that w(t) = 0.
-72, 1, 11
Suppose s + 3*s - 48 = 0. Suppose 3*o - 12 = -0*q - 3*q, -5*o = -3*q - s. Suppose f**2 - 7*f**2 + 0*f**2 + 0*f**3 - 3*f**o = 0. Calculate f.
-2, 0
Let s(q) = -q**3 + 5*q**2 - q + 7. Let v be s(5). Factor k - 14*k + 15 - 12*k**v + 16*k.
-3*(k + 1)*(4*k - 5)
Let a(p) be the second derivative of 7*p - 1/120*p**5 + 0 + 0*p**2 - 1/36*p**4 + 1/12*p**3. Solve a(j) = 0.
-3, 0, 1
Let v(g) = -3 + 3549*g - 3548*g + 14. Let z be v(-7). Factor 23/4*a**2 + 33/8*a**3 + 3/2*a - 1 + 7/8*a**z.
(a + 1)*(a + 2)**2*(7*a - 2)/8
Let f(r) be the second derivative of -r**6/40 - 3*r**5/4 - 89*r**4/16 - 35*r**3/4 + r + 240. Find w such that f(w) = 0.
-14, -5, -1, 0
Let c(h) = 2*h**4 + 27*h**3 + 106*h**2 + 126*h - 1. Let s(q) = q**3 + 4*q**2 - 1. Let k(y) = c(y) - s(y). Factor k(u).
2*u*(u + 3)**2*(u + 7)
Suppose 30*v = -61*v. Let f(n) be the first derivative of v*n**2 + 0*n**3 - 15 + 0*n + 1/14*n**4. Factor f(g).
2*g**3/7
Let u(t) be the third derivative of 0*t**3 + 0*t**4 - t**2 + 0 + 3/80*t**6 + 20*t - 1/224*t**8 + 1/70*t**7 + 0*t**5. Determine x so that u(x) = 0.
-1, 0, 3
Let x = -1002329/90 - -11137. Let p(t) be the third derivative of -x*t**5 + 0*t + 0 + 7*t**2 + 1/18*t**4 - 1/9*t**3. Let p(o) = 0. What is o?
1
Suppose -11*x + 16*x - 20 = 0. Suppose -l - x = -3*l. Let -16*z**3 - 11*z**2 + 2*z + 26*z**l - 7*z + 6*z**3 = 0. What is z?
0, 1/2, 1
Let i(v) be the first derivative of -v**6/30 - 37*v**5/25 - 7*v**4/2 + 2*v**3/15 + 71*v**2/10 + 7*v + 2606. Factor i(u).
-(u - 1)*(u + 1)**3*(u + 35)/5
Let x(c) be the first derivative of -13*c**3/5 - 678*c**2 + 1044*c/5 + 1057. Let x(m) = 0. Calculate m.
-174, 2/13
Let a = -8379/25 + 264721/600. Let n = a - 317/3. Factor -n + 3/4*z - 3/8*z**2.
-3*(z - 1)**2/8
Let k(q) be the second derivative of q**4/66 + 5*q**3/33 - 36*q**2/11 - 372*q. Factor k(w).
2*(w - 4)*(w + 9)/11
Let c(d) = -11*d**3 + 32*d**2 + 260*d + 268. Let f(m) = 23*m**3 - 61*m**2 - 520*m - 534. Let v(n) = -13*c(n) - 6*f(n). Factor v(t).
5*(t - 14)*(t + 2)**2
Factor 352875*b - 110066*b**2 + 2*b**3 + 113876*b**2 + 512095750 + 2066475*b.
2*(b + 635)**3
Let u(o) = -680*o + 64603. Let s be u(95). Let a = 3/35 + 23/140. Factor a - 1/4*b**s - 1/4*b**2 + 1/4*b.
-(b - 1)*(b + 1)**2/4
Let s(c) = -c**3 + 2*c**2 + 331*c - 294. Let w(l) = -3*l**2 - 330*l + 276. Let p(g) = -3*s(g) - 2*w(g). What is o in p(o) = 0?
-11, 1, 10
Let d(o) = -4*o - 291. Let u be d(11). Let r = u + 3029/9. Solve -r*y - 16/9*y**2 + 0 - 2/9*y**3 = 0 for y.
-7, -1, 0
Factor -4 + 379*t**2 + 2*t**3 - 219*t**2 + 4 + 158*t.
2*t*(t + 1)*(t + 79)
Suppose 28 = -i + 34. Suppose 0 = 5*t + 3*f - 18, -4*f - 14 + i = -4*t. Find g, given that -12*g - 19*g**3 + 29*g**t - 14*g**3 + 20*g**2 - 4*g**4 = 0.
-3, 0, 1
Let m(p) = -5*p**2 - 752*p - 66. Let w(a) = 19*a**2 + 3009*a + 253. Let d(c) = 23*m(c) + 6*w(c). Let d(i) = 0. What is i?
0, 758
Suppose -9*i - 47 = -353. Suppose 61 + 12*n**2 + 18*n**3 - 18*n + 2*n**4 - 41 - i*n**2 = 0. What is n?
-10, -1, 1
Solve -20*k**2 + 1408/7*k - 3072/7 + 4/7*k**3 = 0 for k.
3, 16
Suppose -7*v + 4*v = 3*u, 0 = v - 4*u - 10. Factor o**v + 2305 + o - 2308 + o.
(o - 1)*(o + 3)
Let u be (-11)/(-42) - (-8584)/15022. Factor 1/6*x**3 + 0 + x - u*x**2.
x*(x - 3)*(x - 2)/6
Suppose -1887 = -65*z - 1627. Factor 0 - 8/9*o**z + 2/3*o**3 + 0*o - 2/9*o**5 + 4*o**2.
-2*o**2*(o - 2)*(o + 3)**2/9
Let m be 26/(-55)*((59 - -11) + -75). Solve -2/11*k**2 + m*k - 60/11 = 0 for k.
3, 10
Let y(m) be the second derivative of m**6/120 + 293*m**5/80 + 145*m**4/8 - m**3/6 - 145*m**2 - 3056*m. Factor y(x).
(x - 1)*(x + 2)**2*(x + 290)/4
Let f = -8419 - -8425. Let v(u) be the third derivative of -1/21*u**4 - 1/210*u**f + 0 + 0*u + 12*u**2 + 0*u**3 - 1/35*u**5. Determine b so that v(b) = 0.
-2, -1, 0
Let o(m) = -47*m + 507 - 8*m**2 - 2498 + 244*m. Let n(h) = 55*h**2 - 1380*h + 13940. Let v(s) = 3*n(s) + 20*o(s). Solve v(u) = 0.
20
Suppose 15/2*m + 11/2*m**2 - 13 = 0. Calculate m.
-26/11, 1
Suppose 38*n = 4*o + 34*n - 24, 5*n - 12 = -2*o. Let y(h) be the third derivative of -5*h**2 + 0*h**3 + 0*h - 1/15*h**5 - 1/3*h**4 + 0 + 1/30*h**o. Factor y(v).
4*v*(v - 2)*(v + 1)
Let o(j) be the first derivative of -j**5 + 45*j**4/4 + 25*j**3 - 265*j**2/2 + 150*j - 175. Find p such that o(p) = 0.
-3, 1, 10
Let j(n) be the third derivative of 1/1344*n**8 + 1/140*n**7 + 0*n**4 + 1/30*n**5 + 0 + 0*n**3 + n - 34*n**2 + 1/40*n**6. Factor j(r).
r**2*(r + 2)**3/4
Let y(r) be the third derivative of r**7/3360 + r**6/360 + r**5/120 - r**3 + 5*r**2 + 1. Let w(m) be the first derivative of y(m). Factor w(c).
c*(c + 2)**2/4
Let j(v) be the second derivative of 1/6*v**3 + 2*v + 3/4*v**2 + 5 - 1/24*v**4. What is d in j(d) = 0?
-1, 3
Let b = -6186 - -6188. Let f(v) be the third derivative of 0*v**6 + 0*v**4 + 1/525*v**7 + 1/15*v**3 + 0 + 0*v + 4*v**b - 1/75*v**5. Solve f(w) = 0.
-1, 1
Let l(m) be the second derivative of -3/4*m**4 - 39*m + 0*m**2 + 0 + 3/4*m**5 - 1/14*m**7 + 0*m**3 - 1/10*m**6. What is s in l(s) = 0?
-3, 0, 1
Let f = -923 - -1858. Let l = 937 - f. What is v in 4/3 + 2/3*v**l + 