 be the second derivative of x + 1/50*z**5 + 0*z**2 + 0*z**4 - 5*z + 0*z**3. Factor m(k).
2*k**3/5
Let b = 7142803/5 + -1428559. Let y = -5921/5 - -1189. Let -b + y*t - 14/5*t**4 - 24/5*t**3 + 22/5*t**2 = 0. Calculate t.
-2, -1, 2/7, 1
Suppose -2*j - j = 8*j - j. Let i(m) be the third derivative of 0*m**4 + 1/600*m**6 + j*m**3 + 1/300*m**5 - 39*m**2 + 0 + 0*m. Suppose i(t) = 0. What is t?
-1, 0
Suppose -1001*r = -737*r. Factor 24/5*x**3 + 0*x + 8/5*x**2 + r + 2*x**4.
2*x**2*(x + 2)*(5*x + 2)/5
Let o be (-2 + 4 + -6)*(216/96 + -3). Let k(v) be the first derivative of v**o + 3/8*v**4 - 12*v - 8 - 3*v**2. Suppose k(f) = 0. Calculate f.
-2, 2
Let b be -5 + (12 - -12) + -16. Let h(i) be the first derivative of 12 - 2/21*i**b + 0*i**2 + 0*i. Suppose h(t) = 0. Calculate t.
0
Let w(t) be the third derivative of -7/120*t**6 + 1 - 1/105*t**7 + 1/3*t**4 + 2/3*t**3 + t**2 + 0*t - 1/20*t**5. Let w(i) = 0. Calculate i.
-2, -1/2, 1
Let a be ((-279)/(-27) - 3)/((-4)/2) + 4. Solve 3*m + 8/3 + a*m**2 = 0.
-8, -1
Let o = -620408 - -2481641/4. Factor 3/4*r**2 - 3/4*r**4 - 9/4*r**3 + o*r + 0.
-3*r*(r - 1)*(r + 1)*(r + 3)/4
Let q = 2232 + -4459/2. Let h(m) be the second derivative of -1/6*m**6 - 23*m + 320*m**2 + 0 - 80/3*m**3 - 10*m**4 + q*m**5. Determine c, given that h(c) = 0.
-2, 4
Let l(p) be the second derivative of -p**5/5 + 478*p**4/3 + 2*p**3/3 - 956*p**2 - 4632*p. Factor l(s).
-4*(s - 478)*(s - 1)*(s + 1)
Factor -7600000*z - 51*z**2 + z**3 + 7600013*z - 5*z**3.
-z*(z + 13)*(4*z - 1)
Let c(s) be the first derivative of 160/3*s**3 + 192*s - 57 + 0*s**4 + 2/3*s**6 - 4*s**5 - 160*s**2. Factor c(k).
4*(k - 2)**4*(k + 3)
Determine p, given that 3/2*p**3 + 63*p**2 - 261/2*p + 66 = 0.
-44, 1
Let y be ((-158)/1580)/(18/(-40)). Factor 2/9*u**5 + 16/9*u - 8/9 + 2/9*u**4 - y*u**2 - 10/9*u**3.
2*(u - 1)**3*(u + 2)**2/9
Let a(y) = -13*y**2 + y + 7. Let l(j) = -10*j + 4*j - 3 - 1 + 7*j**2 + 5*j. Let q(h) = 4*a(h) + 7*l(h). Solve q(u) = 0.
-1, 0
What is q in 2/21*q**3 + 68/21*q - 38/21*q**2 + 0 = 0?
0, 2, 17
Let g(m) be the first derivative of -2*m**3/9 + 58*m**2 - 688*m/3 - 5639. Factor g(z).
-2*(z - 172)*(z - 2)/3
Let a(o) be the third derivative of o**6/1980 + o**5/132 + o**4/22 - 23*o**3/2 - 38*o**2. Let b(h) be the first derivative of a(h). Factor b(z).
2*(z + 2)*(z + 3)/11
Let i(g) = -3*g**3 + 71*g**2 + 533*g - 4. Let c be i(-6). Factor -1/5 + 1/5*d**c + 0*d.
(d - 1)*(d + 1)/5
Let z(l) be the second derivative of -2*l**6/35 - l**5/10 + 59*l**4/42 - 38*l**3/21 - 8*l**2/7 - 55*l - 3. Determine t so that z(t) = 0.
-4, -1/6, 1, 2
Suppose 4*q - 4*x - 3 + 63 = 0, 3*x = q + 23. Let m be (0 + 33/q)*(-20)/12. Factor 12/7*n**4 - 4/7*n**m - 4/7 - 8/7*n**3 - 8/7*n**2 + 12/7*n.
-4*(n - 1)**4*(n + 1)/7
Let l = 3827/58 - 25919/406. Suppose -27/7*d + l*d**2 + 12/7 = 0. What is d?
4/5, 1
Suppose 14/3 + 8/9*k - 2/9*k**2 = 0. What is k?
-3, 7
Let 4008*w + 0*w**2 - 187733 + 0*w**2 + 4*w**2 + 1191737 = 0. Calculate w.
-501
Let m(v) = 7*v**4 + 4*v**2 + 4*v + 8. Let n be 14*(112/49 + -2). Let q(x) = -13*x**4 - 7*x**2 - 7*x - 14. Let a(l) = n*q(l) + 7*m(l). Let a(g) = 0. Calculate g.
0
Let q(p) = p**2 + p + 1. Let z be q(0). Let j be 4/(-2) + 4 + z. Find o such that -6*o**2 - 6*o**j + 2*o**2 + 37*o**4 - 39*o**4 = 0.
-2, -1, 0
Let j(m) be the first derivative of -5*m**4/4 - 85*m**3 - 2175*m**2/2 + 29435*m + 3242. Solve j(n) = 0 for n.
-29, 7
Let n(w) be the first derivative of -w**6/45 + 2*w**5/75 + 9310. Find z such that n(z) = 0.
0, 1
Let f(h) be the second derivative of -2*h**7/21 + 28*h**6/5 - 81*h**5/5 + 40*h**4/3 - 483*h + 2. What is z in f(z) = 0?
0, 1, 40
Let a(n) be the second derivative of 1/4*n**5 + 3 - 45/2*n**2 - 35/12*n**4 - 23*n + 25/2*n**3. Factor a(s).
5*(s - 3)**2*(s - 1)
Let o(w) = 5*w**3 - 45*w**2 + 160*w - 134. Let k(c) = -21*c**3 + 180*c**2 - 648*c + 537. Let s(a) = 2*k(a) + 9*o(a). Solve s(u) = 0 for u.
2, 11
Find s such that 5953600/3*s**2 - 9760*s + 12 = 0.
3/1220
Let z(b) be the third derivative of b**7/1575 + b**6/36 + 43*b**5/450 - 23*b**4/60 - 235*b**2. Let z(w) = 0. Calculate w.
-23, -3, 0, 1
Let g be ((-238)/1479)/(72/(-522)). Factor -2 - g*h**2 + 8/3*h + 1/6*h**3.
(h - 3)*(h - 2)**2/6
Let a(i) be the third derivative of i**6/40 - 19*i**5/20 + 3*i**4/4 + 108*i**3 + i**2 - 2335*i. Factor a(g).
3*(g - 18)*(g - 4)*(g + 3)
Let i = -114 + 117. Factor -6*o**2 - 435 + 399 + 48*o - i*o**2 - 3*o**3.
-3*(o - 2)*(o - 1)*(o + 6)
Let v(u) = 6*u**3 - 71*u**2 - 106*u - 39. Let x(b) = -6*b**3 + 68*b**2 + 106*b + 40. Let p be -12*-2*(-6)/(-36). Let q(r) = p*v(r) + 5*x(r). Factor q(g).
-2*(g - 11)*(g + 1)*(3*g + 2)
Let m(i) be the third derivative of 0 - 1/540*i**5 - 1/27*i**3 + 1/72*i**4 + 293*i**2 + 0*i. Let m(j) = 0. Calculate j.
1, 2
Suppose 41*r - 45 = 42*r. Let v = r + 60. Determine c, given that v + 2*c**3 + 1 - 4 - 10*c - 4*c**2 = 0.
-2, 1, 3
Let c(l) be the first derivative of 2/45*l**4 - 32*l + 1/5*l**3 - 3/5*l**2 - 16. Let i(f) be the first derivative of c(f). Factor i(z).
2*(z + 3)*(4*z - 3)/15
Suppose 4*b = 5*p - 37, 387*b - 391*b + 2*p = 10. Solve 0 - 14/5*a**b - 12/5*a - 2/5*a**3 = 0 for a.
-6, -1, 0
Suppose 0 = 3*u - 2*r - 168, 6*u - 122 = 4*u - 2*r. Factor -92*p**3 + u*p**3 - 4*p**4 + 54*p**3.
-4*p**3*(p - 5)
Let h(r) be the third derivative of -r**8/2856 + r**7/255 - 11*r**6/1020 - 19*r**5/510 + 5*r**4/17 - 12*r**3/17 - 5*r**2 - 36*r. What is z in h(z) = 0?
-2, 1, 2, 3
Let t(g) = -3*g**4 + g**3 + 10*g**2 - 2. Let l(u) = -15*u**4 + 117*u**3 + 132*u**2 - 1296*u - 12. Let h(m) = l(m) - 6*t(m). Factor h(k).
3*k*(k - 3)*(k + 4)*(k + 36)
Let v(p) be the first derivative of -262 - 22/5*p**5 - 27/2*p**4 + 0*p - 1/3*p**6 - 8*p**2 - 50/3*p**3. Factor v(b).
-2*b*(b + 1)**3*(b + 8)
Let t(p) = -154*p**3 + 196*p**2 + 252*p - 1728. Let z(g) = -43*g**3 + 56*g**2 + 72*g - 494. Let b(d) = -5*t(d) + 18*z(d). Factor b(r).
-4*(r - 7)*(r - 3)*(r + 3)
What is m in -4/9 + 46/9*m - 158/9*m**2 + 164/9*m**3 - 16/3*m**4 = 0?
1/6, 1/4, 1, 2
Let u(j) = -j**2 - 24*j - 35. Let w be u(-21). Suppose w*r + 0*r - 56 = 0. Factor -2/5*a**3 - 2/5*a - 4/5*a**r + 0.
-2*a*(a + 1)**2/5
Let o(h) = h**2 - 14*h - 41. Suppose 0 = -4*y + 8*y + 4. Let d(v) = v - 1. Let f(s) = y*o(s) + 3*d(s). Suppose f(z) = 0. What is z?
-2, 19
Let i(g) be the third derivative of 0*g - 20*g**3 + 31 + 1/20*g**5 + 2*g**2 - 3/4*g**4. Factor i(q).
3*(q - 10)*(q + 4)
Let m(n) be the second derivative of 3*n**7/28 - 29*n**6/60 - 939*n**5/40 + 2395*n**4/8 - 7525*n**3/6 + 750*n**2 + 410*n. Let m(l) = 0. Calculate l.
-12, 2/9, 5
Let t = 205 + -202. Find z such that -t*z**5 - z**5 - 1182*z**3 + 12*z**4 + 1174*z**3 = 0.
0, 1, 2
Let m(p) be the second derivative of p**5/170 - 21*p**4/17 + 1764*p**3/17 - 74088*p**2/17 - 1230*p. Factor m(f).
2*(f - 42)**3/17
Suppose k - 2*g = 2458, -26*k + 28*k + g - 4921 = 0. Let b = -2456 + k. Factor -26/19*t**2 + 0 - 18/19*t**b - 40/19*t**3 - 4/19*t.
-2*t*(t + 1)**2*(9*t + 2)/19
Factor 15268608/7 + 3/7*b**2 - 13536/7*b.
3*(b - 2256)**2/7
Let y(g) = -30*g - 99. Let h be y(-4). Let x be (4/(-196))/((6/h)/(-2)). Determine j, given that 0*j**2 + 0 - 1/7*j**3 + x*j = 0.
-1, 0, 1
Suppose h - 91 = -3*n, n + 3*n - 130 = 3*h. What is l in -13*l**2 + l**3 - n*l**3 + 33*l**3 + 4*l = 0?
0, 1/3, 4
Suppose 9*g**3 + 0 - 5*g**4 - 49/5*g + 21/5*g**2 = 0. What is g?
-1, 0, 7/5
Solve -4/5*m**2 + 288 - 344/5*m = 0 for m.
-90, 4
Let r = -131907 - -395831/3. What is p in -76/3*p - 2*p**5 + 82/3*p**3 + 0 - r*p**2 + 110/3*p**4 = 0?
-1, -2/3, 0, 1, 19
Let c(w) be the third derivative of -11*w**7/630 + w**6/10 - 25*w**4/24 - 154*w**2. Let q(i) be the second derivative of c(i). Find f, given that q(f) = 0.
0, 18/11
Let o(i) be the first derivative of i**5/210 - i**4/12 + 10*i**3/21 + 46*i**2 + 65. Let w(r) be the second derivative of o(r). Find s, given that w(s) = 0.
2, 5
Let s(w) be the first derivative of -94 + 0*w + 1/11*w**6 - 2/11*w**5 - 1/2*w**4 + 0*w**2 - 2/11*w**3. Solve s(c) = 0.
-1, -1/3, 0, 3
Let s(a) = 276*a**2 - 1357*a - 113. Let t be s(5). Factor 1694 - 44*q + 2/7*q**t.
2*(q - 77)**2/7
Let h(a) be the first derivative of 2*a**5 - 17*a**4/4 - 2*a**3 - 1076. Determine q, given that h(q) = 0.
-3/10, 0, 2
Suppose -3*h + 4*a - 22 = -h, 2*h - 2*a = -20. Let d be (6/(-30))/(h/36). Suppose -2*w**2 + 0 + 6/5*w**3 + d