or s.
1
Let z(c) = 34*c**3 - 370*c**2 + 1465*c - 1632. Let p(y) = 8*y**3 - 92*y**2 + 366*y - 408. Let v(x) = -9*p(x) + 2*z(x). Solve v(f) = 0.
2, 3, 17
Let k(j) = -9*j**2 + 117*j - 807. Let b(p) = 2*p - p**2 - 101 - 8*p + 9*p + 2*p + 9*p. Let c(v) = -33*b(v) + 4*k(v). Factor c(w).
-3*(w - 7)*(w + 5)
Let s = 1993/10164 + -5/121. Let z(v) be the third derivative of s*v**4 - 4/105*v**5 + 7*v**2 + 1/420*v**6 - 2/7*v**3 + 0 + 0*v. Suppose z(q) = 0. Calculate q.
1, 6
Let g(c) be the third derivative of -c**5/210 + 31*c**4/6 - 433*c**3/21 - 152*c**2 - 5*c - 2. What is z in g(z) = 0?
1, 433
Let b(d) be the third derivative of 0 + 1/420*d**7 + 0*d**4 + 0*d**5 - 1/240*d**6 + 106*d**2 + 0*d + 0*d**3. Factor b(z).
z**3*(z - 1)/2
Find r such that 8*r - 2*r**4 - 2/9*r**5 - 2/3*r**2 + 0 - 46/9*r**3 = 0.
-4, -3, 0, 1
Let q(r) be the first derivative of -25/2*r + 45/8*r**2 + 1/16*r**4 - r**3 - 4. Solve q(a) = 0.
2, 5
Let x(s) = s**2 - 15*s + 46. Let o be x(11). Determine f so that -140*f**o - 223*f + 90 - 174*f + 25*f**3 + 562*f = 0.
-2/5, 3
Let f(v) be the second derivative of 3*v**5/4 + 25*v**4/6 + 10*v**3/3 - 13*v**2 + 14*v - 4. Let r(a) be the first derivative of f(a). Factor r(s).
5*(s + 2)*(9*s + 2)
Let w(n) be the third derivative of n**9/22680 - n**8/3360 + n**7/1890 + 137*n**4/24 + 8*n**2. Let h(l) be the second derivative of w(l). Solve h(t) = 0.
0, 1, 2
Let w(o) be the first derivative of -1/2*o**4 - 1/3*o**3 + 10*o**2 - 80 + 28*o. Factor w(t).
-(t + 2)**2*(2*t - 7)
Let m = 87 + -85. Let -15*t**3 + 0*t**m - 55*t - 15*t**2 + 30*t**3 + 5*t**4 - 30 = 0. Calculate t.
-3, -1, 2
Let x(b) be the third derivative of -b**8/280 - 22*b**7/105 + 391*b**6/300 - 179*b**5/75 + 4*b**4/3 - 227*b**2. Suppose x(w) = 0. What is w?
-40, 0, 1/3, 1, 2
Let a(j) be the first derivative of -1/3*j**4 - 1/2*j**3 + 2*j + 2 + 1/20*j**5 + 9*j**2. Let b(y) be the first derivative of a(y). Factor b(r).
(r - 3)**2*(r + 2)
Factor -3/5*c**4 - 42/5*c**3 - 96/5*c**2 + 0 + 384/5*c.
-3*c*(c - 2)*(c + 8)**2/5
Let d be 0/18 - (-3 + (-3)/(-3)). Factor 8*y + d*y - 24*y + 39*y**2 - 31*y + 6.
3*(y - 1)*(13*y - 2)
Let d(o) = -9*o**2 - 108*o + 464. Let c(q) = -75*q**2 - 867*q + 3711. Let j(f) = -4*c(f) + 33*d(f). Factor j(a).
3*(a - 26)*(a - 6)
Let m(r) be the third derivative of -r**6/40 - 39*r**5/10 - r**2 - 1959. Factor m(p).
-3*p**2*(p + 78)
Let b = 8 + -26. Let v = b - -20. Factor 2*u**2 + v*u**2 - 14*u + 10*u.
4*u*(u - 1)
Let q = -54062 - -108137/2. Factor -1/2*h**2 - q*h + 0.
-h*(h + 13)/2
Let t(v) be the first derivative of 11/2*v**2 + 0*v - 3*v**4 + 339 + 2*v**5 + 1/6*v**6 - 10/3*v**3. Determine m so that t(m) = 0.
-11, -1, 0, 1
Let h(v) be the third derivative of -v**6/40 + 3*v**5/10 + 3*v**4 - 32*v**3 + 525*v**2 + 3*v. Factor h(u).
-3*(u - 8)*(u - 2)*(u + 4)
Let b(a) be the first derivative of 1/40*a**5 - 11*a + 17 - a**2 + 2/3*a**3 - 5/24*a**4. Let v(w) be the first derivative of b(w). Factor v(d).
(d - 2)**2*(d - 1)/2
Let i(f) be the second derivative of -f**4/6 - 37*f**3/6 + 2*f - 1329. Let i(s) = 0. Calculate s.
-37/2, 0
Let p(g) be the second derivative of 3/2*g**2 - 6 - 7*g - 27/40*g**5 - 1/4*g**4 + 9/4*g**3. Factor p(i).
-3*(i - 1)*(i + 1)*(9*i + 2)/2
Let g = -2991260/3 - -997132. Find f such that 2/3*f**2 - g*f + 2312/3 = 0.
34
Let a(c) = 537*c + 5. Let b be a(0). Let z(s) be the second derivative of 1/4*s**b - 35/6*s**3 + 7*s - 10*s**2 + 0 - 5/6*s**4. Solve z(t) = 0 for t.
-1, 4
Suppose -63*p - 1747 + 487 = 0. Let l be 16/3*(-6)/p. Determine y so that 3/5*y**2 - 2/5*y**3 + 4/5 - 1/5*y**4 + l*y = 0.
-2, -1, 2
Let d(s) = -s**3 + 3*s**2 + 36*s - 13. Let q be d(7). Suppose 0 = 11*a - q*a + 96. Suppose -8/3 + 20/3*p + 4/3*p**a - 16/3*p**2 = 0. What is p?
1, 2
Let w be 7 + (-2 - 1) - -4. Factor 6*g**3 + 2*g**3 + w*g**2 + 7*g**3 - 6*g - 17*g**3.
-2*g*(g - 3)*(g - 1)
Let a(t) = 5*t**2 - 5*t - 13*t - 46 + 34*t. Let h(r) = r**2 + 3. Let y(i) = a(i) - 6*h(i). Determine c so that y(c) = 0.
8
What is h in -5657*h - 2352 - 892*h**3 - 4856*h**2 + 240*h**4 + 168*h**4 + 45*h**5 + 81*h**5 - 377*h = 0?
-7/3, -1, 24/7
Let j(f) be the third derivative of -f**7/4410 - f**6/420 + 2*f**5/15 - 4*f**4/3 - 3*f**2 - 3*f. Let k(a) be the second derivative of j(a). Factor k(w).
-4*(w - 4)*(w + 7)/7
Let i(d) be the second derivative of d**4/6 - 26*d**3/3 + 25*d**2 + d + 486. Factor i(n).
2*(n - 25)*(n - 1)
Let 14*m**3 + 1376*m - 1394/5*m**2 + 120 = 0. What is m?
-3/35, 10
Let p(c) = -126*c + 2*c**2 + 259*c - c**2 - 133*c - c**3. Let y be p(-1). Factor -1/2*f - 1/4*f**y + 3/4.
-(f - 1)*(f + 3)/4
Let h(m) = m**2 + 5*m + 45. Let y be h(-13). Factor 146*f**3 - 296*f**3 + y*f**3 + 5*f**2.
-f**2*(f - 5)
Let b(k) be the third derivative of k**6/24 + 175*k**5/2 + 57640*k**4 + 1372880*k**3/3 + 2871*k**2. Let b(d) = 0. Calculate d.
-524, -2
Let d(f) be the third derivative of 1/15*f**5 + 2*f**2 + 0 + 10/3*f**3 + 23/9*f**4 - 47*f. Solve d(i) = 0.
-15, -1/3
Let g(k) be the second derivative of -k**5/5 - 329*k**4/3 - 53120*k**3/3 + 165336*k**2 - 2655*k. Suppose g(j) = 0. What is j?
-166, 3
Determine v, given that -27/2*v**2 + 99/2*v - 21*v**3 - 15 = 0.
-2, 5/14, 1
Factor 28*t**2 + 95*t**4 - 194*t**4 + 101*t**4 - 30*t**3.
2*t**2*(t - 14)*(t - 1)
Let l(h) = 4*h + 111. Let n be l(0). Let z = -106 + n. Factor -11*j - z*j + 13*j - 5 + 3 - j**2.
-(j + 1)*(j + 2)
Determine r so that 1/8*r**2 + 11/8 - 3/2*r = 0.
1, 11
Let t(h) = h**3 + h**2 - 1. Let l(j) = -j**3 + 2*j**2 - 7*j - 8. Let a(o) = 2*l(o) + 4*t(o). Solve a(r) = 0 for r.
-5, -1, 2
Let v(w) be the second derivative of w**5/60 + 7*w**4/36 - 40*w**3/9 - 96*w**2 + 27*w + 5. What is y in v(y) = 0?
-8, 9
Factor -5/4*g**2 - 15*g + 0.
-5*g*(g + 12)/4
Let v(j) be the third derivative of j**6/10 - 323*j**5/75 + 53*j**4/15 + 746*j**2. Factor v(n).
4*n*(3*n - 1)*(5*n - 106)/5
Let a(s) = 2*s**2 + 7*s - 14. Let t be a(2). Suppose 5*x**3 - 3*x**5 + 14 - 4 + t - 21*x - 18*x**2 + 19*x**3 = 0. What is x?
-3, -1, 1, 2
Suppose 4*x - 4*j = 28, 1 = -3*j - 2. Suppose -4*n + 3*n + 1 = -k, x*k = -3*n + 39. Factor 3/5*p**2 - 2/5*p**3 + 0 + 0*p - 1/5*p**k.
-p**2*(p - 1)*(p + 3)/5
Let z(m) be the second derivative of -m**7/21 - 8*m**6/5 - 63*m**5/10 - 1885*m. Let z(u) = 0. What is u?
-21, -3, 0
Let a(u) be the first derivative of -u**5/300 + 13*u**4/120 + 105*u**2 - 222. Let r(t) be the second derivative of a(t). Let r(k) = 0. What is k?
0, 13
Let c(m) be the second derivative of m**4/18 - 58*m**3/45 - 8*m**2/5 - 76*m. Factor c(i).
2*(i - 12)*(5*i + 2)/15
Suppose 52 = 5*l - 3*g, 0 = 8*l - 4*g - g - 86. Factor -18/5*t - 14/5*t**l + 0.
-2*t*(7*t + 9)/5
Let j(a) be the second derivative of -44/3*a**3 + 1 + 484*a**2 + 1/6*a**4 + 10*a. Factor j(n).
2*(n - 22)**2
Factor -244*r + 33*r**3 + 505*r - 6*r**3 + 27*r**2 - 128*r - r**4 - 186*r**2.
-r*(r - 19)*(r - 7)*(r - 1)
Let j(f) be the second derivative of -f**8/3360 + 23*f**7/1260 - 11*f**6/180 - 22*f**4/3 - 40*f + 1. Let o(m) be the third derivative of j(m). Factor o(y).
-2*y*(y - 22)*(y - 1)
Let w(p) = -19*p + 2. Let q be w(1). Let c be q/(-4) + (-115)/92. Find a such that -2*a - a + 9*a**c - 6*a**3 + 3*a**2 - 3*a = 0.
-2, 0, 1
Let t(y) = -y + 36. Let z be t(17). Let g be (19 - z)*(-1)/(-2). Factor -2/9*q**2 + 0 + g*q.
-2*q**2/9
Let c(x) = 8*x - 82. Let r be c(13). Factor -194 - s**2 - s**2 - 44*s - r - 26.
-2*(s + 11)**2
Let n(s) = 2645*s - 216890. Let q be n(82). Factor 15/7*m**2 + 1/7*m**3 + q*m + 0.
m**2*(m + 15)/7
Suppose 33*u - 64 = 29*u. Factor -36*t**2 + 54 - 3*t**4 + 10*t - 10*t - u*t**3 + t**4.
-2*(t - 1)*(t + 3)**3
Let q(b) be the second derivative of b**4/84 + 155*b**3/42 - 237*b**2/7 - 853*b - 1. Factor q(k).
(k - 3)*(k + 158)/7
Let p(y) be the first derivative of 3*y**5/5 + 75*y**4/4 - 26*y**3 - 4272. Factor p(q).
3*q**2*(q - 1)*(q + 26)
Let y(z) = 10*z**2 - 77*z + 3. Let k(q) = -32*q**2 + 234*q - 10. Let d(p) = -3*k(p) - 10*y(p). Find o, given that d(o) = 0.
0, 17
Let t(q) be the first derivative of -q**7/2520 - q**6/108 - 23*q**5/360 - 7*q**4/36 - 11*q**3 + 21. Let k(l) be the third derivative of t(l). Factor k(s).
-(s + 1)*(s + 2)*(s + 7)/3
Let d = 345317/44265 + -10/8853. Suppose 24/5*k**2 - 4/5*k + 8/5*k**5 + d*k**4 + 59/5*k**3 + 0 = 0. What is k?
-2, -1, 0, 1/8
Suppose 107*j - 1 = 97*j - 1. Factor 2/5*g**3 + j*g**4 - 1/5*g**2 