 in v(p) = 0?
-90, -2, -2/7
Find j, given that -800/9 + 518/9*j**2 + 110/9*j**3 - 2/9*j**5 + 20*j - 2/3*j**4 = 0.
-5, -2, 1, 8
Let o be (0 + 0)/2*3/(-117)*-13*1. Factor 3*l**4 + o + 0*l + 0*l**2 - 1/4*l**5 + 13/4*l**3.
-l**3*(l - 13)*(l + 1)/4
Let r(x) be the first derivative of x**4/8 + 14*x**3/3 + 27*x**2/4 + 888. Find t, given that r(t) = 0.
-27, -1, 0
Let y be (10/(100/90))/(3/(-40)). Let c be y/420 - (-10)/14. Factor 6/7*x - 3/7*x**2 - c.
-3*(x - 1)**2/7
Let y be (-40)/28*((-31075)/(-625) - 57). Factor 2/5*b**2 - y*b + 338/5.
2*(b - 13)**2/5
Let q(c) = c**4 + c**3 - c**2 - c + 2. Let r(l) = -14*l**4 - 260*l**3 + 2197*l**2 + 3257*l + 1110. Let f(y) = 5*q(y) + r(y). Let f(v) = 0. What is v?
-35, -2/3, 8
Let r(j) be the third derivative of j**6/30 + 18*j**5/5 + 275*j**4/2 + 5000*j**3/3 - 2*j**2 + 575. Suppose r(y) = 0. What is y?
-25, -4
Suppose 48 - 31/2*x**2 + 131/4*x - 1/4*x**3 = 0. What is x?
-64, -1, 3
Let z be 230/660 + -1 + (-5 - (-140)/24). Solve -2/11*d + z*d**3 - 2/11*d**2 + 2/11 = 0 for d.
-1, 1
Let y(m) = 9*m**2 - 7*m + 4. Let l be y(2). Suppose -14*u + u = -l. Find v such that -v**4 + 3*v**2 - 3*v**u - 2*v**3 + 22*v**5 - 21*v**5 = 0.
-1, 0, 2
Let j(n) be the second derivative of 45/4*n**4 + 25*n**2 - n + 7/4*n**5 + 8 - 1/6*n**6 + 145/6*n**3. Find q such that j(q) = 0.
-1, 10
Let v(c) be the second derivative of c**6/60 + 13*c**5/80 - 31*c**4/6 + 113*c**3/24 + 15*c**2 - 29*c + 41. Suppose v(i) = 0. What is i?
-15, -1/2, 1, 8
Let m(o) be the second derivative of -o**5/80 + 19*o**4/48 - 35*o**3/24 + 17*o**2/8 + 924*o. Find l such that m(l) = 0.
1, 17
Let y(g) be the first derivative of -g**3/9 - g**2/3 + 648. Solve y(a) = 0.
-2, 0
Let z be (-10)/(-20)*(-17904)/(-15). Let v = z + -596. Factor 0*k**2 + v*k**3 + 0 + 0*k.
4*k**3/5
Let x(r) be the second derivative of 5*r**7/56 - 143*r**6/6 + 27455*r**5/16 - 45125*r**4/24 - 572*r. Suppose x(o) = 0. What is o?
0, 2/3, 95
Let y be (22 - (3 - 1785/(-60))) + 12 + 0. Determine g, given that 0 + 0*g + 5*g**3 - y*g**4 - 15/4*g**2 = 0.
0, 1, 3
Factor -244778*y**3 + 745*y + 132 + 78 + 560*y**2 + 244803*y**3.
5*(y + 1)*(y + 21)*(5*y + 2)
Factor 15/4*c + 0 + 4*c**2 + 1/4*c**3.
c*(c + 1)*(c + 15)/4
Let s(c) be the first derivative of 5*c**3/3 + 105*c**2/2 - 2700*c + 6459. Factor s(p).
5*(p - 15)*(p + 36)
Let x(p) be the third derivative of 0 - 5*p**3 + 7/12*p**5 + 0*p - 146*p**2 - 5/24*p**6 - 1/42*p**7 + 25/24*p**4. Factor x(h).
-5*(h - 1)**2*(h + 1)*(h + 6)
Let u(p) be the third derivative of 0*p - 8/3*p**3 + 3*p**2 - 13/45*p**6 - 7/18*p**4 - 1/63*p**7 + 19/18*p**5 + 8. Let u(s) = 0. What is s?
-12, -2/5, 1
Let c(j) = -j**2 - 13*j - 39. Let s be c(-6). Suppose -t - 3*u = 4, s*t + 9*u - 6*u = 0. Determine i so that 2/9*i**3 - 2/9*i - 4/9 + 4/9*i**t = 0.
-2, -1, 1
Let p(i) be the third derivative of -i**6/200 + i**5/50 + i**4/8 - 3*i**3/5 + 2*i**2 + 41. Solve p(b) = 0 for b.
-2, 1, 3
Let s be (-14)/(-49) - 1254/(-21). Solve 158*q - 25*q**5 - 314*q + s*q**4 + 10*q**2 + 156*q - 45*q**3 = 0 for q.
0, 2/5, 1
Determine i, given that -2*i**4 + 10964*i - 26010 + 296*i**3 - 3909*i + 7*i**4 - 91*i**3 + 2545*i**2 = 0.
-17, -9, 2
Let q be (-24)/(-56) + ((-2)/42)/((-3)/(-27)). Let j(k) be the second derivative of 19*k - 2/21*k**3 + 1/21*k**4 - 2/7*k**2 + 1/35*k**5 + q. Factor j(f).
4*(f - 1)*(f + 1)**2/7
Let p be (44/6)/((26/54)/((-130)/(-585))). Suppose p*i - 2/13*i**2 + 46/13 = 0. What is i?
-1, 23
Let o(z) be the third derivative of -z**7/840 + z**6/240 + z**5/30 - 161*z**2 + z. Suppose o(h) = 0. What is h?
-2, 0, 4
Let x(p) be the second derivative of -1/28*p**7 + 9/4*p**5 + 0 - 1/4*p**4 - 5*p - 29/4*p**3 - 13/20*p**6 + 45/4*p**2. What is q in x(q) = 0?
-15, -1, 1
Let f be (-147)/(-63) + 2/(-6). What is x in -58*x**3 + 24*x**f - 15*x**5 - 34*x**5 - 144*x**4 + 42*x**5 + 55*x**4 = 0?
-12, -1, 0, 2/7
Let u(g) be the second derivative of 1/210*g**5 - 8/7*g**2 + 0 + 7/9*g**3 - 13/63*g**4 - 31*g. Factor u(c).
2*(c - 24)*(c - 1)**2/21
Let m(g) be the first derivative of g**4/38 - 22*g**3/57 + 31*g**2/19 - 42*g/19 + 1404. Suppose m(u) = 0. What is u?
1, 3, 7
Let l be (((-25)/3)/1)/(2/12). Let p = l + 77. Factor 54*k**2 + 16*k - 6 - p*k**3 + 14*k - 27*k.
-3*(k - 2)*(3*k - 1)*(3*k + 1)
Let l be 57/5 + (-25)/(-70)*-2 + (-150)/35. Find j, given that 2/15*j**3 + l*j - 2*j**2 + 128/15 = 0.
-1, 8
Let w be (-8)/(-92) + 1928/46. Suppose -21 + w = 7*s. Determine m, given that 0 + 1/2*m**s - 1/2*m**2 + 0*m + 1/2*m**4 - 1/2*m**5 = 0.
-1, 0, 1
Let b = 11372/12883 - -40/991. Factor 0 + 8/13*h**2 + 2/13*h + b*h**3 + 2/13*h**5 + 8/13*h**4.
2*h*(h + 1)**4/13
Let l(h) be the third derivative of h**6/1080 - h**5/40 + h**4/4 - 41*h**3 + 39*h**2. Let b(y) be the first derivative of l(y). Suppose b(k) = 0. What is k?
3, 6
Let h be (-5)/15*(-23 + (2 - 0)). Suppose 2*m - 4*l - 19 = -h*l, -2*l = -10. Factor m - 2 + 13*j + 45*j**2 - 19*j.
3*j*(15*j - 2)
Let l(m) be the third derivative of 10*m - 1/48*m**5 + m**2 + 55/48*m**4 - 605/24*m**3 + 0. Determine n, given that l(n) = 0.
11
Let g(o) be the third derivative of 1/30*o**5 + 1/30*o**6 + 10*o**2 - 1/6*o**4 - o + 0*o**3 + 0 - 1/105*o**7. Factor g(f).
-2*f*(f - 2)*(f - 1)*(f + 1)
Let l(q) be the third derivative of -q**7/945 + q**6/180 + q**5/54 - q**4/36 - 4*q**3/27 - 2*q**2 + 352*q. What is p in l(p) = 0?
-1, 1, 4
Let h(p) be the first derivative of p**6/480 + 41*p**5/80 + 1681*p**4/32 - 5*p**3/3 + 8*p - 42. Let r(a) be the third derivative of h(a). Factor r(b).
3*(b + 41)**2/4
Let q(n) be the first derivative of -n**6/48 + 23*n**5/20 + 95*n**4/32 + 2*n**3 - 82. Factor q(g).
-g**2*(g - 48)*(g + 1)**2/8
Let b = 16882/5 + -3376. Let q(f) be the first derivative of -b*f - 3/10*f**2 - 5 - 1/15*f**3. What is j in q(j) = 0?
-2, -1
Let a(s) = -s - 9. Let f be a(-6). Let v be (f/(-6))/(4/24). Factor 108 + 20*q**3 + 28*q**4 - 98*q**2 + 26*q**2 + 20*q**v + 4*q**5 - 108*q.
4*(q - 1)**2*(q + 3)**3
Let u(n) be the second derivative of -5/2*n**4 - 7/4*n**5 + 1/2*n**6 + 1 + 16*n + 10*n**3 + 20*n**2. Find b, given that u(b) = 0.
-1, -2/3, 2
Factor -22/3*y**2 - 8/3 + 2*y**4 - 8*y + 2/3*y**5 - 2/3*y**3.
2*(y - 2)*(y + 1)**3*(y + 2)/3
Factor -335/6 + 671/6*u - 337/6*u**2 + 1/6*u**3.
(u - 335)*(u - 1)**2/6
Let d be -3 + 3 - ((-2)/24)/(-19 + 20). Let q(g) be the second derivative of -d*g**3 + 0 + 3*g + 5/6*g**4 - 1/4*g**2. Let q(b) = 0. What is b?
-1/5, 1/4
Let r be (((-3)/(-2))/(-1))/(2/4). Let w be (-2)/r*(-12)/(-4). Find f, given that -9 - 12*f + f**3 - 4*f**4 + 11*f**3 + 7*f**4 + 2*f**w + 4*f**2 = 0.
-3, -1, 1
Let d be (-148)/777*6 + (0 - -2). Suppose -d*p**2 + 0 - 12*p = 0. Calculate p.
-14, 0
Let w(h) = -h**2 - 8*h + 23. Let r be w(2). Factor 37*d**4 + 30*d**r - 33*d**4 + 140*d**2 + 100*d + 14*d**3.
4*d*(d + 1)*(d + 5)**2
Factor -281330*w + 281530*w - 196 - 4*w**2 + 0*w**2.
-4*(w - 49)*(w - 1)
Let l = 2/6651 + 39884/73161. Determine t, given that 0 - 6/11*t**2 - 2/11*t + 10/11*t**3 + l*t**4 - 8/11*t**5 = 0.
-1, -1/4, 0, 1
Suppose -140*o**2 - 4/3*o**3 + 0 + 1744/3*o = 0. What is o?
-109, 0, 4
Let q be 1008/72 - (13 + -2). Let w(o) = -o**2 + 6*o - 6. Let m be w(4). Determine x so that -80/3*x + 49/3*x**q - 4 - 119/3*x**m = 0.
-2/7, 3
Let y(r) be the third derivative of r**7/7560 + r**6/540 + r**5/90 + 3*r**4/8 + 126*r**2. Let p(j) be the second derivative of y(j). Factor p(u).
(u + 2)**2/3
Suppose t + 4 = 0, 3*b = -2*b + 4*t + 2081. Let w = b - 823/2. Factor 0*s**2 + 0 + 0*s + 0*s**4 - 3/2*s**5 + w*s**3.
-3*s**3*(s - 1)*(s + 1)/2
Suppose 13*w = -2*d + 10*w - 3211, -3*d = -2*w + 4849. Let n = d - -1615. Factor -2 + 1/3*l**n + 1/3*l.
(l - 2)*(l + 3)/3
Let v(i) be the first derivative of -7/4*i**4 + 159 - 2*i - 2*i**3 + 15/2*i**2. Factor v(r).
-(r - 1)*(r + 2)*(7*r - 1)
Let k be 31125/(-43575) - (-5)/7. Factor -22/3*g**3 + 4/3*g**2 + 0 - 26/3*g**4 + k*g.
-2*g**2*(g + 1)*(13*g - 2)/3
Let g(n) be the second derivative of -n**7/945 + n**5/90 + n**4/54 - 147*n**2/2 - 43*n. Let h(a) be the first derivative of g(a). Let h(o) = 0. What is o?
-1, 0, 2
Find y, given that -144/5 - 9*y + 1/5*y**2 = 0.
-3, 48
Let o(c) be the first derivative of -c**7/168 - c**6/8 - 7*c**5/12 + 2*c**3/3 - 24*c**2 - 47. Let t(s) be the third derivative of o(s). Factor t(f).
-5*f*(f + 2)*(f + 7)
Factor -33/2*y**2 + 0 - 3/4*y**3 - 63/4*