 526 + 4*f**2 - 44*f - g.
4*(f - 8)*(f - 3)
Let o(t) be the first derivative of -33/2*t**2 - 10*t**3 + 82 + 3/4*t**4 + 0*t. Let o(y) = 0. Calculate y.
-1, 0, 11
Let r be (6*1/(-4))/(-3)*(-109 + 115). Factor 2/9*s**r - 22/9*s**2 + 40/9 + 16/9*s.
2*(s - 10)*(s - 2)*(s + 1)/9
Let z(a) = -8*a**4 + 6*a**3 - 6*a**2 + 4*a + 6. Let g(i) = -17*i**4 + 14*i**3 - 12*i**2 + 9*i + 13. Let b(x) = 6*g(x) - 13*z(x). Let b(m) = 0. Calculate m.
-1, 0
Let t be 70*62/(-310) + (-100)/(-6). Find s, given that -t + 14/3*s - 2*s**2 = 0.
1, 4/3
Let s(n) = 63*n**3 + 81*n**2 - 84*n - 174. Let p(f) = -53*f**3 - 81*f**2 + 85*f + 173. Let l(r) = -6*p(r) - 5*s(r). Factor l(t).
3*(t - 2)*(t + 1)*(t + 28)
Let h be 483/(-16422) - (-846)/1020. Find n, given that 4/5*n**3 - 2/5*n - 8/5*n**2 + 4/5 + h*n**4 - 2/5*n**5 = 0.
-1, 1, 2
Suppose 4*c + c - 2*n = 19, -n + 13 = 5*c. Let x(i) = -i**2 + 2*i - 3. Let v(w) = w - 3. Let g(q) = c*v(q) - x(q). Factor g(m).
(m - 2)*(m + 3)
Let 0 + 16/3*g**3 + 13/3*g**4 + 0*g + 1/3*g**5 - 64*g**2 = 0. Calculate g.
-8, 0, 3
Let t(y) be the first derivative of 0*y**4 + 0*y**2 + 1/6*y**3 + 0*y - 1/10*y**5 - 61. Suppose t(v) = 0. What is v?
-1, 0, 1
Let a be 372/36 + 66/18. Let s(c) be the second derivative of -3/10*c**5 + 2/3*c**3 + 1/6*c**4 + 0 + 1/21*c**7 + 0*c**2 - a*c - 1/15*c**6. Factor s(b).
2*b*(b - 2)*(b - 1)*(b + 1)**2
Suppose 1630*s + 646 = 632 + 6534. Suppose -5/8*o**2 + 0 - 1/8*o**3 + 1/8*o**s - 3/8*o = 0. Calculate o.
-1, 0, 3
Let j(s) = 60*s**2 + 8128*s + 1387184. Let c(d) = -19*d**2 - 2710*d - 462395. Let k(x) = -16*c(x) - 5*j(x). Let k(m) = 0. What is m?
-340
Let k(q) be the third derivative of -q**6/72 + q**5/8 - 5*q**4/12 + q**3/2 + 16*q**2 + 6. Let f(d) be the first derivative of k(d). Find n such that f(n) = 0.
1, 2
Let d(l) be the third derivative of l**7/42 - 47*l**6/24 - 21*l**5 - 515*l**4/6 - 520*l**3/3 + 2*l**2 + 8*l + 42. Suppose d(k) = 0. Calculate k.
-2, -1, 52
Let x(d) be the first derivative of -d**5/210 - 2*d**4/63 - d**3/63 + 2*d**2/7 + 86*d + 192. Let m(a) be the first derivative of x(a). Factor m(o).
-2*(o - 1)*(o + 2)*(o + 3)/21
Let g(d) be the second derivative of d**5/20 - d**4/2 + 5*d**3/6 + 6*d**2 - 2*d + 1281. Let g(t) = 0. Calculate t.
-1, 3, 4
Let u(q) = -7*q**3 + 847*q**2 - 169773*q + 168927. Let x(b) = b**3 - 4*b**2 + 5*b - 1. Let w(o) = u(o) + 6*x(o). Factor w(z).
-(z - 411)**2*(z - 1)
Let b be ((270/35)/(-9))/((-4)/(-63)) - -14. Find w, given that 36 - 30*w + 7*w**2 - b*w**3 = 0.
2, 6
Let v be 135/10*14/1 - 2. Let h be v/51 + (-1)/3. Find q, given that -65/3*q - h - 110/3*q**2 + 20/3*q**3 + 40*q**4 + 15*q**5 = 0.
-2, -1, -1/3, 1
Let k = -1916/35 + 17314/315. Suppose -4/9 - k*w**2 - 2/3*w = 0. Calculate w.
-2, -1
Let g(s) be the third derivative of -s**5/180 - 23*s**4/18 - 1058*s**3/9 - 29*s**2 + 1. Factor g(w).
-(w + 46)**2/3
Let b(n) be the third derivative of -n**5/30 + 166*n**4/3 - 110224*n**3/3 - 52*n**2. Solve b(x) = 0.
332
Let m(i) = -5*i + 68. Let c be m(13). Let o be c/2 - (-39)/(-42). Factor 3/7 + 1/7*p**2 - o*p.
(p - 3)*(p - 1)/7
Let u(v) = 0*v**3 - v**3 - 61*v**2 + 125*v**2 - 63*v**2. Let j(b) = -b**4 - 10*b**3 + 2*b**2 + 5*b + 4. Let a(w) = -j(w) + 5*u(w). Factor a(i).
(i - 1)*(i + 1)**2*(i + 4)
Let u(q) = 6*q**4 - 7*q**4 + 14*q**3 + 2*q + 65*q**2 - 63*q**2. Let z(l) = 15*l**3 + 3*l**2 + 3*l. Let o(k) = -3*u(k) + 2*z(k). Let o(f) = 0. What is f?
0, 4
Let a be 49/1421*-377*(-2 + (-24)/(-13)). Factor -2/3*r**a + 38/3*r + 0.
-2*r*(r - 19)/3
Suppose 121*j + 1/2*j**2 + 0 = 0. What is j?
-242, 0
Let k(h) be the first derivative of 81/2*h + 20 + 1/2*h**3 - 45/4*h**2 + 1/8*h**4. Solve k(n) = 0 for n.
-9, 3
Suppose 1159 = 564*i + 215*i - 174 - 1004. Factor 0*o + 1/4*o**i + 0 + 1/4*o**2.
o**2*(o + 1)/4
Let v(x) be the first derivative of -28/3*x**3 - 32 - 2*x**4 - 3*x**2 + 4*x + 24/5*x**5 + 7/3*x**6. Determine o so that v(o) = 0.
-1, 2/7, 1
Let z be (-21)/6*(-160)/56. Let 2*l**2 - z*l**2 - 3 + 7*l**2 + 4*l = 0. What is l?
1, 3
Let s(i) = 6*i**3 + 2*i**2 + i - 2. Let q be s(-2). Let u be ((q/(-55))/(1/(-1)))/(-1). Factor -u*o**2 - 16/15 + 2/15*o**3 + 8/5*o.
2*(o - 2)**3/15
Solve -3/2*u**3 + 6 + 15/2*u**2 - 12*u = 0 for u.
1, 2
Solve 214/5*g + 108/5 - 2/5*g**3 + 104/5*g**2 = 0.
-1, 54
Let k(s) = 9*s**4 + 3*s**3 + 9*s**2 - 12*s + 3. Let z(q) = 14*q**4 + 6*q**3 + 19*q**2 - 24*q + 5. Let j(l) = -5*k(l) + 3*z(l). Find p, given that j(p) = 0.
-2, 0, 1, 2
Let -70*c**4 + 620*c + 35*c**5 - 8*c**2 - 5*c**5 - 12*c**2 - 795*c**4 - 2015*c**3 = 0. Calculate c.
-2, -2/3, 0, 1/2, 31
Let h(p) be the second derivative of -19*p**5/4 - 46*p**4/3 - 83*p**3/6 + 3*p**2 + 2060*p. Factor h(j).
-(j + 1)**2*(95*j - 6)
Let d(p) be the second derivative of p**7/42 - 7*p**6/24 - 5*p**5/12 + 125*p**4/8 + 2*p**2 - 5*p - 14. Let g(s) be the first derivative of d(s). Factor g(j).
5*j*(j - 5)**2*(j + 3)
Let a(l) = -21602*l**2 + 2910*l - 100. Let x(k) = 43189*k**2 - 5819*k + 201. Let c(n) = -5*a(n) - 2*x(n). Factor c(z).
2*(104*z - 7)**2
Factor 9/5*x**2 + 0 + 2*x - 1/5*x**3.
-x*(x - 10)*(x + 1)/5
Let t(k) be the first derivative of -13/4*k**2 - 1/12*k**3 - 25/4*k + 4. Factor t(h).
-(h + 1)*(h + 25)/4
Let o(b) be the third derivative of 1/20*b**6 + 0*b + 0*b**4 - 1/105*b**7 - b**2 + 38 + 2/15*b**5 + 0*b**3. Factor o(p).
-2*p**2*(p - 4)*(p + 1)
Factor -12 - 84 + 176 + 68 + 26 - 2*h**2 + 52*h.
-2*(h - 29)*(h + 3)
Let q(k) be the third derivative of 0*k**4 - 1/840*k**6 + 1/294*k**7 + 0*k + 0 + 248*k**2 + 1/2352*k**8 - 1/84*k**5 + 0*k**3. Factor q(g).
g**2*(g - 1)*(g + 1)*(g + 5)/7
Let s(h) be the first derivative of 2*h**3/3 - 15*h**2 - 68*h - 659. Solve s(g) = 0 for g.
-2, 17
Let c = 102546/5 - 20509. Let -1/5*p**2 + c*p + 0 = 0. What is p?
0, 1
Let m be 0 - 1598*(-24)/42. Let j = 914 - m. What is r in 0*r**2 - 8/7*r + j*r**3 + 0 + 2/7*r**4 = 0?
-2, 0, 1
Let i(q) = -5*q**5 - q**4 + 7*q**3 - q**2 - 12*q + 10. Let t(x) = -2*x**5 - x**4 - x**3 + 2*x**2 + 2*x - 1. Let n(w) = -i(w) + 2*t(w). Factor n(b).
(b - 3)*(b - 1)**2*(b + 2)**2
Let q = 7583 + -7583. Let r(v) be the second derivative of 16*v + q - 1/18*v**4 - 1/18*v**3 + 1/3*v**2 + 1/60*v**5. Factor r(k).
(k - 2)*(k - 1)*(k + 1)/3
Let s(k) be the second derivative of k**4/36 - 215*k**3/18 + 422*k**2/3 - 538*k + 10. Factor s(p).
(p - 211)*(p - 4)/3
Let o(x) be the second derivative of -x**4/84 - 107*x**3/42 + 109*x**2/7 + 11*x - 264. Factor o(k).
-(k - 2)*(k + 109)/7
Factor -2*z**3 - 43*z**2 + 37*z**2 - 229*z**2 - 21*z + 7*z**3 - 219*z.
5*z*(z - 48)*(z + 1)
Let c(y) = -11*y + 4. Let k be c(0). Suppose -6 + 501*z**3 + 5*z + k*z - 504*z**3 = 0. Calculate z.
-2, 1
Let l = 49 - 47. Let p be 9/8*(-16)/(-12)*l. What is k in 9*k**4 - 26*k**4 + 3*k**2 + p*k**3 + 14*k**4 - 3*k = 0?
-1, 0, 1
Let u be (16/3 + 43 + -49)/(-10). Let g(k) be the second derivative of 28*k - u*k**3 + k**2 + 0 - 1/6*k**4 + 1/50*k**5. Determine a so that g(a) = 0.
-1, 1, 5
Let a(h) be the second derivative of h**5/150 + 29*h**4/30 + 404*h**3/45 - 164*h**2/5 - 4*h - 705. Solve a(g) = 0.
-82, -6, 1
Suppose -5*z + 31 = -t, -3*z - 62*t + 63*t = -21. Factor -5/3*x**4 + 1/3*x**z + 7/3*x**3 + 0*x - x**2 + 0.
x**2*(x - 3)*(x - 1)**2/3
Suppose w + 28 = -w - 2*x, -3*x = -3*w - 18. Let r = 18 + w. Factor -r*m - 25 + 21 + 4*m**4 + 8*m**3 + 0*m**4.
4*(m - 1)*(m + 1)**3
Let j(p) be the third derivative of -7*p**5/40 - 1139*p**4/16 + 163*p**3/2 + p**2 + 437*p. Suppose j(l) = 0. What is l?
-163, 2/7
Factor 0 + 11/7*z**3 + 1/7*z**4 + 9/7*z + 19/7*z**2.
z*(z + 1)**2*(z + 9)/7
Let u(t) be the second derivative of -37*t**4/20 - 34*t**3/15 + 2*t**2/5 + 2296*t. Factor u(y).
-(3*y + 2)*(37*y - 2)/5
Let r(l) be the first derivative of 20*l - 168 - 7*l**2 + 2/3*l**3. Determine s so that r(s) = 0.
2, 5
Suppose -2 = -31*t + 30*t. What is y in 13*y**2 + 462*y - 12*y**t - 458*y + 3 = 0?
-3, -1
Let x(l) be the second derivative of -2*l**6/15 + 6*l**5/5 + 5*l**4 - 88*l**3/3 - 168*l**2 + 4959*l. Let x(q) = 0. Calculate q.
-2, 3, 7
Let p(a) be the first derivative of a**6/180 - 13*a**5/90 - 29*a**4/36 - 5*a**3/3 + 122*a**2 - 257. Let o(g) be the second derivative of p(g). Factor o(n).
2*(n - 15)*(n + 1)**2/3
Let s(v) be the third derivative of v**7/840 - 9*v**5/40 - 8*v**4/3 + 26*v**2. Let t(r) be the second derivative of s(r). Suppose t(c) = 0. What is c?
-