 1)*(m + 19)
Let k(y) be the second derivative of 4*y**5/5 - y**4/7 - 218*y + 2. Suppose k(v) = 0. Calculate v.
0, 3/28
Let z be (4 - (-144)/(-40))*(-50)/(-40). Let j(o) be the second derivative of o + 1/5*o**6 + 1/5*o**5 + 0*o**2 - 16 - z*o**4 - 2/3*o**3. Factor j(f).
2*f*(f - 1)*(f + 1)*(3*f + 2)
Let w(t) = -t**5 - t**4 - t**3 - t + 1. Let n(v) = v**3 + 5*v**5 + 154*v + 11*v**4 - 3 - 8*v**2 - 72*v - 79*v. Let r(m) = 2*n(m) + 6*w(m). Solve r(a) = 0 for a.
-4, -1, 0, 1
Let o(r) be the second derivative of r**6/150 - r**5/50 - 19*r**4/60 - 14*r**3/15 - 6*r**2/5 - 4*r + 10. Factor o(l).
(l - 6)*(l + 1)**2*(l + 2)/5
Let o(b) = b**3 + 2*b**2. Suppose -9*q + 14*q = -3*t - 11, 0 = -2*t + 6. Let x(a) = -10*a**2 + 5*a + 14. Let h(i) = q*x(i) - 4*o(i). Find l such that h(l) = 0.
-1, 2, 7
Let l(p) be the third derivative of p**6/1200 - 11*p**5/600 + 13*p**4/80 - 3*p**3/4 - 1495*p**2. Factor l(m).
(m - 5)*(m - 3)**2/10
Factor 522 - 120*z**2 + 840*z**2 - 293*z**4 + 296*z**4 + 390 + 132*z**3 + 1392*z.
3*(z + 2)**3*(z + 38)
Let p(i) be the second derivative of 0*i**2 - 1/10*i**6 + 36*i + 0 - 3/5*i**5 - 5/4*i**4 - i**3. Factor p(r).
-3*r*(r + 1)**2*(r + 2)
Let v(g) be the second derivative of 0*g**2 + 0*g**4 + 0*g**3 - 1/10*g**6 + 16*g + 9/10*g**5 - 4. Solve v(c) = 0 for c.
0, 6
Let r = -2189068/9 + 243230. Suppose r*j**2 + 14/9*j + 0 = 0. Calculate j.
-7, 0
Let x(m) = m**3 - 51*m**2 + 36*m + 702. Let b be x(50). Factor 6/7*o**b - 12/7*o - 18/7.
6*(o - 3)*(o + 1)/7
Factor 0 + 0*p + 31/4*p**4 + 0*p**2 - 15/2*p**3 - 1/4*p**5.
-p**3*(p - 30)*(p - 1)/4
Let r(s) be the third derivative of s**8/112 - s**7/14 + s**6/20 + 2*s**5/5 + 163*s**2. Factor r(t).
3*t**2*(t - 4)*(t - 2)*(t + 1)
Let m(j) be the third derivative of 0*j - 13/24*j**4 + 1/24*j**6 - 21*j**2 + j**3 + 1 + 1/30*j**5. Solve m(y) = 0.
-2, 3/5, 1
What is b in 0 + 1656*b**2 - 1587*b - 279/4*b**3 + 3/4*b**4 = 0?
0, 1, 46
Find a such that 213/5*a**2 - 3/5*a**4 + 114/5 - 279/5*a - 9*a**3 = 0.
-19, 1, 2
Factor 0 - 185/4*n**3 + 5/4*n**4 - 525/2*n**2 + 0*n.
5*n**2*(n - 42)*(n + 5)/4
Let t be -10*(-11)/400 + 13/104. Factor t*i**2 + 36/5 - 18/5*i.
2*(i - 6)*(i - 3)/5
Let f = -484 + 479. Let y(d) = 55*d**2 - 70*d - 30. Let s(u) = 2*u**2 + 2. Let b(m) = f*s(m) + y(m). What is w in b(w) = 0?
-4/9, 2
Let r(c) be the second derivative of 0*c**3 + 0*c**2 + 5 + 34/15*c**6 - 8*c + 2/3*c**4 - 19/5*c**5. Factor r(o).
4*o**2*(o - 1)*(17*o - 2)
Let a(p) be the first derivative of p**6/90 - 2*p**5/45 + p**4/18 + 4*p**2 - 3*p - 50. Let b(k) be the second derivative of a(k). Suppose b(q) = 0. What is q?
0, 1
Let i(d) be the second derivative of d**5/40 + 3*d**4/8 - 41*d**3/6 + 30*d**2 + 13*d + 37. Determine j so that i(j) = 0.
-15, 2, 4
Suppose 5*q - 9*q = 1812. Let y = -450 - q. Find h such that 2/25*h**y + 0 - 2/25*h**2 + 0*h = 0.
0, 1
Determine w so that -20*w**2 + 354*w**3 + 35*w**2 + 48*w**2 + 162*w - 706*w**3 + 355*w**3 = 0.
-18, -3, 0
Factor 2/9*k**5 + 112/9*k - 32/9 - 22/9*k**4 + 86/9*k**3 - 146/9*k**2.
2*(k - 4)**2*(k - 1)**3/9
Factor -75 + 1/5*u**2 + 122/5*u.
(u - 3)*(u + 125)/5
Let x = -3439269/5 + 689007. Factor -x - 124/5*n - 2/15*n**2.
-2*(n + 93)**2/15
Let w(n) = n**3 + 3*n**2 + 11*n + 42. Let l be w(-4). Let s be (l/(-15))/((-2)/(-5)). Solve 2/3*d + 2/9*d**4 + 2/9*d**2 - 4/9 - 2/3*d**s = 0.
-1, 1, 2
Factor 31625000*z - 104369*z**2 + 128*z**3 - 2*z**4 + 1374*z**3 - 19782*z**2 - 252349*z**2 - 31250000.
-2*(z - 250)**3*(z - 1)
Factor 0 + 2/5*f**4 + 6*f**3 + 88/5*f + 96/5*f**2.
2*f*(f + 2)**2*(f + 11)/5
Let q(i) = 20*i**2 + 35*i**2 - 115 + 22*i + 19*i**2 - 75*i**2. Let l be q(10). What is h in -5*h**l - 59/3*h**4 - 4 + 33*h**2 - 3*h**3 - 4/3*h = 0?
-3, -2, -1/3, 2/5, 1
Let c(r) be the first derivative of -3/35*r**5 + 0*r**2 - 2/7*r**3 + 9/28*r**4 + 35 + 0*r. Factor c(b).
-3*b**2*(b - 2)*(b - 1)/7
Let b = -62885 - -62887. Let n(t) = t + 17. Let i be n(-7). Factor 25/3*c**3 - 12*c + 8/3 + i*c**b.
(c + 2)*(5*c - 2)**2/3
Let p(d) be the second derivative of d**4/6 - 4*d**3/3 + 3*d**2 - 10*d + 2. Let o(b) = -15*b**2 + 65*b - 50. Let m(h) = 3*o(h) + 25*p(h). Factor m(s).
5*s*(s - 1)
Let n(f) = f**2 - 12*f + 25. Suppose a - 6*a + 5 = -k, 5*k - 3*a = 41. Let t be n(k). Factor 292*z**2 - 296*z**2 + t*z + 3*z.
-4*z*(z - 2)
Let q be (-3400)/1160 - (-4)/(-58). Let u(d) = -7*d**2 - 434*d - 832. Let x(o) = 2*o**2 + 144*o + 277. Let s(z) = q*u(z) - 8*x(z). Let s(h) = 0. Calculate h.
-28, -2
Let z(g) be the first derivative of 2*g**5 + 1/3*g**6 + 0*g**2 + 2*g**4 + 55 + 0*g**3 + 0*g. Find r, given that z(r) = 0.
-4, -1, 0
Let r(t) be the third derivative of -t**8/168 - 272*t**7/105 - 9*t**6/2 + 136*t**5/15 + 271*t**4/12 + 1361*t**2. Let r(p) = 0. Calculate p.
-271, -1, 0, 1
Let t(f) be the third derivative of f**6/900 + 11*f**5/300 - 13*f**4/30 - 5*f**3/6 - 97*f**2. Let q(d) be the first derivative of t(d). Factor q(l).
2*(l - 2)*(l + 13)/5
Let i = 66 + -60. Suppose -4*q - 2*a + i = 0, q - 15 = 2*a + 2*a. Factor -5*z**2 - 81*z**3 + 38*z**q + 53*z**3 - 5*z**4.
-5*z**2*(z - 1)**2
Let z = -92/61 + 16686/305. Let l = z - 527/10. Factor 1/4*v**3 - 1/4*v - 1/2*v**2 + l.
(v - 2)*(v - 1)*(v + 1)/4
Let x(i) be the third derivative of -i**7/840 + i**5/80 + i**4/48 - 7*i**2 + 61*i. Suppose x(g) = 0. What is g?
-1, 0, 2
Let q(s) be the third derivative of -1/1260*s**7 - 1/720*s**6 + 1/144*s**4 + 0 - 3*s**2 + 41*s + 1/120*s**5 - 1/18*s**3. Solve q(u) = 0 for u.
-2, -1, 1
Let j be (-11166)/(-20) - (-87)/(-290). Let t be j/108 - (2 + (-6)/4). Factor 10/3*w**2 + 4/3 + t*w.
2*(w + 1)*(5*w + 2)/3
Let -11*l + 1/3*l**2 - 70/3 = 0. What is l?
-2, 35
Determine v, given that 299*v - 177*v**3 + 9*v**4 - 299*v + 114*v**2 = 0.
0, 2/3, 19
Let l(z) be the second derivative of 0*z**2 + 1/80*z**5 - 1/16*z**4 + 0 + 48*z - 1/6*z**3. Factor l(n).
n*(n - 4)*(n + 1)/4
Let x(c) = c**2 + 16. Let r be x(7). Suppose 3*j + 5 = r. Suppose 2*n + 5*n**3 - j*n**2 - 9*n + 2*n + 20 = 0. What is n?
-1, 1, 4
Let z(v) = v**2 - 4*v + 1. Let l(i) be the first derivative of 5*i**3 - 125*i**2 + 10*i - 42. Let t(a) = l(a) - 10*z(a). Factor t(s).
5*s*(s - 42)
Factor 0 + 0*g + 1/3*g**5 - 4/3*g**4 + 1/3*g**3 + 2*g**2.
g**2*(g - 3)*(g - 2)*(g + 1)/3
Let g(b) = -17*b - 40. Let u be g(-4). Factor u*r**3 + 41*r**4 + 264*r + 518*r**3 + 32 + 203*r**2 + 477*r**2 + 57*r**4.
2*(r + 1)*(r + 4)*(7*r + 2)**2
Let m(x) be the first derivative of -64*x**6/33 - 160*x**5/11 + 8482*x**4/11 - 25126*x**3/33 + 3127*x**2/11 - 520*x/11 - 3934. Suppose m(p) = 0. What is p?
-20, 1/4, 13
Let b = 8643/13 - 25916/39. Suppose -8 - b*j**2 + 11/3*j = 0. What is j?
3, 8
What is r in 1024/3 + 147*r**2 + 448*r = 0?
-32/21
Let i(p) = -p**3 + 12*p**2 - 11*p + 2. Let b be i(11). Find a, given that 8*a**4 - 20*a + 6*a**3 - 3*a**2 + b*a**5 + 12*a - 5*a**2 = 0.
-2, -1, 0, 1
Let a = -932725 - -932727. Factor 4/7*w**3 + 63948/7*w + 1556068/7 + 876/7*w**a.
4*(w + 73)**3/7
Let b be (-84)/(-17) + 2226/(-477). Let y(l) be the first derivative of 18/17*l - 1/34*l**4 + 11 - 15/17*l**2 + b*l**3. Factor y(m).
-2*(m - 3)**2*(m - 1)/17
Let f(k) be the second derivative of -k**7/420 - 3*k**6/25 + 19*k**5/50 - k**4/60 - 5*k**3/4 + 19*k**2/10 + 3176*k. Let f(w) = 0. What is w?
-38, -1, 1
Let f(a) be the first derivative of -4*a**5/5 - 211*a**4 - 2460*a**3 - 10962*a**2 - 21816*a - 2582. Suppose f(j) = 0. Calculate j.
-202, -3
Let h(d) be the second derivative of d**6/180 + d**5/30 - 13*d**4/72 - 7*d**3/9 + 5*d**2 - 1476*d. Suppose h(v) = 0. What is v?
-5, -3, 2
Suppose -23992*q + 168 = -23950*q. Suppose 21/2*k**3 - 3/2*k**5 + 0 + 3/2*k**q - 9*k - 3/2*k**2 = 0. Calculate k.
-2, -1, 0, 1, 3
Let p(q) be the first derivative of -3*q**4/10 - 1052*q**3/5 - 7827*q**2/5 - 12504*q/5 + 10974. Factor p(c).
-6*(c + 1)*(c + 4)*(c + 521)/5
Let 22/3*u**2 + 4*u - 2*u**4 + 0 + 2*u**3 - 2/3*u**5 = 0. What is u?
-3, -1, 0, 2
Determine g, given that -49*g**2 + 0*g + 46/3*g**3 + 0 + 1/3*g**4 = 0.
-49, 0, 3
Find d, given that 2/3*d**4 + 112*d + 0 + 218/3*d**2 - 116/3*d**3 = 0.
-1, 0, 3, 56
Let b(v) be the first derivative of 2187*v + 217 - 81*v**2 + 30*v**3 + 5*v**3 - 34*v**3. Factor b(g).
3*(g - 27)**2
Let f(z) be the third derivative of 29*z**7/420 + 91*z**6/720 + z**5/90 - 3917*z**2 + 2*z. Factor f(i).
i**2*(i + 1)*(87*i + 4)/6
Determine p so that 55*p**2 