1
Let g = 1859 - 1799. Let q be 18/15*4/(384/g). Let 12 - 3*b**3 + 0*b**2 - q*b**4 + 12*b = 0. Calculate b.
-2, 2
Let m = 3764 - 3753. Let v(p) be the first derivative of 1/3*p**3 + 2*p + m - 3/2*p**2. Factor v(o).
(o - 2)*(o - 1)
Suppose q = -3*m + 81, 123 = 4*m + 4*q - 1. Let z(l) be the first derivative of -m*l - 29 - 5/2*l**2 - 1/12*l**3. Solve z(j) = 0 for j.
-10
Find y such that -4*y**4 - 696*y + 43 - 63 + 20 - 92*y**2 + 120*y**3 = 0.
-2, 0, 3, 29
Let k(i) = -13*i**2 - 10*i - 7. Let o(t) = -53*t**2 - 75*t**2 + 142*t**2 + 6 + 11*t. Let u(v) = 4*k(v) + 5*o(v). What is y in u(y) = 0?
-2/3, -1/6
Let l(d) = -67*d - 21*d**3 - 68*d - 112*d**2 - 73*d + 195*d. Let i(z) = -42*z**3 - 226*z**2 - 25*z. Let x(a) = 2*i(a) - 5*l(a). Factor x(g).
3*g*(g + 5)*(7*g + 1)
Let i(d) be the first derivative of d**3/7 - 30*d**2/7 - 3375*d/7 + 1806. What is o in i(o) = 0?
-25, 45
Let o(q) = q**2. Let n(w) = 17*w**2 - 12*w**2 + 10 - 9*w - 8*w + 15*w**2 + 2*w. Let a = 4 - 3. Let m(x) = a*n(x) - 15*o(x). Let m(p) = 0. What is p?
1, 2
Let b(t) be the second derivative of 0*t**2 + 2*t + 24 + 1/130*t**5 - 5/39*t**4 + 0*t**3. Factor b(p).
2*p**2*(p - 10)/13
Determine o so that -574/5*o + 82369/5 + 1/5*o**2 = 0.
287
Suppose 6*g = -0*g + 18. Suppose 15*q**4 + q**3 + g*q - 2 + 12*q**2 - 16*q**4 - 4*q - 9*q**2 = 0. What is q?
-1, 1, 2
Let j(n) be the first derivative of 2*n**3/39 - 3352*n**2/13 + 5617952*n/13 - 4387. Factor j(v).
2*(v - 1676)**2/13
Factor -11058/5*i + 10189947/5 + 3/5*i**2.
3*(i - 1843)**2/5
Let a(c) be the second derivative of c**8/6720 - c**7/360 - c**6/90 + 83*c**4/12 - 81*c. Let n(l) be the third derivative of a(l). Factor n(s).
s*(s - 8)*(s + 1)
Let j(h) be the second derivative of h**5/10 + 12*h**4 + 92*h**3 - 42320*h**2 + 5750*h. Factor j(n).
2*(n - 20)*(n + 46)**2
Suppose 0 = 6707*f - 5972*f - 1470. Suppose -1/5*m**3 + 8/5 + 7/5*m**f - 14/5*m = 0. What is m?
1, 2, 4
Let o(d) be the third derivative of -d**8/112 - 3*d**7/10 + 71*d**6/40 - 27*d**5/20 - 35*d**4/4 + 24*d**3 + 681*d**2 + 3. Solve o(g) = 0 for g.
-24, -1, 1, 2
Let d(h) be the first derivative of -h**3/3 - 8*h**2 - 15*h - 1592. Solve d(r) = 0.
-15, -1
Let y(h) be the first derivative of -h**4/9 - 2*h**3/3 - 54*h + 30. Let p(f) be the first derivative of y(f). Solve p(a) = 0.
-3, 0
Factor -59/2*w - 1/2*w**3 + 21 + 9*w**2.
-(w - 14)*(w - 3)*(w - 1)/2
Let n(u) be the first derivative of -66 - 6*u**2 - 21/8*u**4 + 0*u + 3/10*u**5 + 7*u**3. Let n(y) = 0. What is y?
0, 1, 2, 4
Suppose 2*o - 2*f + 15 = 3*o, -o + 27 = -4*f. What is y in 3*y - 23 - 5*y - o + 8*y**3 - 3*y**3 - 3*y**3 + 42*y**2 = 0?
-21, -1, 1
Let p(n) be the third derivative of n**6/210 + 19*n**5/105 + 17*n**4/21 + 1557*n**2 + n. Factor p(t).
4*t*(t + 2)*(t + 17)/7
Let h(t) = -7*t**2 - 1526*t - 195063. Let x(y) = -23*y**2 - 4576*y - 585183. Let a(g) = 7*h(g) - 2*x(g). Let a(i) = 0. Calculate i.
-255
Let o be (6400/(-18) - 5) + 5. Let d = -354 - o. Let -32/9*v**4 + 128/9*v**2 + 0 - 32/9*v + d*v**5 - 16/3*v**3 = 0. What is v?
-2, 0, 2/7, 2
Suppose 2*r**3 - 13*r**2 + 1745*r - 2*r**3 + 600 + 5*r**3 - 2550 + 213*r**2 = 0. What is r?
-26, -15, 1
Let x be ((-318)/(-14) - (-4)/14) + 583 + -591. Let j(z) be the second derivative of -z + 12/5*z**2 - x - 19/15*z**3 + 4/15*z**4 - 1/50*z**5. Factor j(d).
-2*(d - 4)*(d - 3)*(d - 1)/5
Let o(h) be the second derivative of h**4/8 - 289*h**3/2 + 1731*h**2/4 - 4*h + 163. Factor o(x).
3*(x - 577)*(x - 1)/2
Let y(l) be the second derivative of -7*l - 16/7*l**2 - 4/7*l**3 + 21 + 1/7*l**4 + 1/35*l**5. Solve y(r) = 0 for r.
-4, -1, 2
Suppose 0*m**4 + 1/6*m**5 + 0 - 1/3*m**3 + 0*m**2 + 1/6*m = 0. What is m?
-1, 0, 1
Suppose -2*a - 2 = -14*w + 9*w, -a = -4*w + 1. Let r be (9 + 12/(-1))/a. Factor 7/2*f**4 - 1/2 - 5/2*f - 3*f**2 + f**r + 3/2*f**5.
(f - 1)*(f + 1)**3*(3*f + 1)/2
Let j(l) = -4*l**5 - 3*l**4 + l**3 + 3*l**2 + 3*l. Let p(x) = 4*x - 5*x - 541*x**2 + x**4 + x**5 + 540*x**2. Let w(y) = -j(y) - 3*p(y). Factor w(d).
d**3*(d - 1)*(d + 1)
Let y(w) be the second derivative of -w**4/3 + 4168*w**3/3 - 8328*w**2 - 142*w + 11. Determine a so that y(a) = 0.
2, 2082
Let l be (-1820)/1826 - 152/(-152). Let h = l + 1781/13695. Factor 2/3*b - h*b**2 + 4/5.
-2*(b - 6)*(b + 1)/15
What is u in -192/11*u**3 - 2/11*u**4 - 800/11*u + 72*u**2 + 0 = 0?
-100, 0, 2
Suppose 9 = -3*d, 0 = -5*x - 19*d + 16*d + 71. Suppose 635*r + x = 643*r. Factor 8/7 + 0*v - 2/7*v**r.
-2*(v - 2)*(v + 2)/7
Let -1/4*i**2 - 69 + 95/4*i = 0. Calculate i.
3, 92
Let g = 16532005/11021334 - 2/5510667. Let a be 2/5 + (-7)/(-20). Find s such that 0*s - g*s**3 + 0 + a*s**2 + 3/4*s**4 = 0.
0, 1
Let o = 19165 - 169306/9. Let a = o + -352. Factor 0*r + 0 + 0*r**2 - 1/9*r**5 + 0*r**3 - a*r**4.
-r**4*(r + 11)/9
Suppose 60*s - 64*s + 12 = 0. Find d such that -83*d**3 - 84*d**2 + 6*d - 758*d**4 + 7*d**s + 782*d**4 + 10*d = 0.
-1, 0, 1/6, 4
Suppose 3981*o = 3892*o. Suppose -8/7*v**2 - 12/7*v**4 + 0 - 2/7*v**5 - 18/7*v**3 + o*v = 0. What is v?
-4, -1, 0
Let x(n) be the third derivative of -n**5/12 - 745*n**4/24 - 370*n**3/3 + 2179*n**2. Factor x(r).
-5*(r + 1)*(r + 148)
Suppose 4 = 2*d - 3*p - 0*p, 10 = 5*d + 5*p. Factor 30711*a**2 - 20 + 9*a + 6*a - 30706*a**d.
5*(a - 1)*(a + 4)
Let k = -4899 + 4905. Let a(c) be the second derivative of 1/5*c**5 - 11/12*c**4 + 2*c**3 - 9/4*c**2 - 1/60*c**k - 5*c + 0. Factor a(r).
-(r - 3)**2*(r - 1)**2/2
Suppose -100*q - 76 = -276. What is u in -3/7*u + 6/7 - 3/7*u**q = 0?
-2, 1
Factor -3266/7*t**2 + 1182/7*t**3 - 58719/7*t - 9*t**4 + 1/7*t**5 - 109503/7.
(t - 23)**3*(t + 3)**2/7
Let w(t) be the third derivative of -3/70*t**5 - 1/420*t**6 - 9/7*t**3 + 0*t + 0 - 88*t**2 - 9/28*t**4. Let w(u) = 0. What is u?
-3
Let h be 2/9 - 52/(-9). Let i be ((-34 + h)/7)/(14/(-3)). Factor -i*v**2 + 3*v**4 + 0*v + 15/7*v**3 + 0.
3*v**2*(v + 1)*(7*v - 2)/7
Let h(t) be the third derivative of -t**4/2 + 89*t**3/2 - 9*t**2 - 4*t. Let a be h(22). Suppose -1/4*c**4 + 3/2*c**a - 3*c**2 + 0 + 2*c = 0. Calculate c.
0, 2
Solve 2596*s - 9520*s**2 - 1964*s - 8 + 0 - 1180*s - 4624*s**3 = 0 for s.
-2, -1/34
Let v(t) = -t**3 - 2*t**2 + 7*t - 2. Let c be v(-4). Factor 6 + 25 - c*u**2 + u**2 - 30*u - 4*u**2 + 4.
-5*(u - 1)*(u + 7)
Let z(i) = i**2 + 47*i - 504. Let r be z(9). Let x(g) be the third derivative of r*g - 7/6*g**3 - 6*g**2 + 0 - 1/60*g**5 - 1/3*g**4. Let x(u) = 0. Calculate u.
-7, -1
Let j(n) be the first derivative of -20*n + 1/16*n**5 - 5/24*n**3 + 11 - 1/24*n**4 + 1/4*n**2. Let t(s) be the first derivative of j(s). Factor t(o).
(o - 1)*(o + 1)*(5*o - 2)/4
Let k(j) = j**3 + 19*j**2 - 6*j - 112. Let w be k(-19). Let r be (-31 + 30)*(-2)/6. Factor 0 - 4/3*c - r*c**w.
-c*(c + 4)/3
Let x(m) = -m**2 + 52. Let v be x(-4). Let j be v/(-30)*(-16)/24. Find f such that j - 6/5*f**2 - 2/5*f = 0.
-1, 2/3
Let w(t) = -t**4 + 2*t**3 - t + 5. Let r(q) = -9*q**4 - 312*q**3 + 660*q**2 - 4*q + 20. Let l(z) = r(z) - 4*w(z). Let l(h) = 0. Calculate h.
-66, 0, 2
Let -7872 + 2226 + 178*x**3 - 1294 + 48600*x - 85155*x**2 + 67*x**3 = 0. Calculate x.
2/7, 347
Suppose 2*r - 951 = 1373. Let h = r + -1160. Factor 0 - 1/3*g - 1/3*g**h.
-g*(g + 1)/3
Solve 37/6*y**2 - 126 - 50*y - 1/6*y**3 = 0 for y.
-2, 18, 21
Suppose -2524*y - 1827 + 1913 = -7486. Factor 2/3*n**y + 0 - n - 4/3*n**2 + 1/3*n**5 + 4/3*n**4.
n*(n - 1)*(n + 1)**2*(n + 3)/3
Let u be (3 - 6)*-2 + -179*5/150. Let t(d) be the third derivative of 0*d**3 + 0*d + 15*d**2 - 11/12*d**4 + 0 + u*d**5. Find f such that t(f) = 0.
0, 11
Factor 4*p**4 - 62*p**2 + 134*p**2 + 12*p**3 + p**3 - 3*p**4 + 9*p**3.
p**2*(p + 4)*(p + 18)
Let c(a) = -a**2 - 11592*a + 16831617. Let u(l) = l**2 + 23188*l - 33663229. Let y(z) = 5*c(z) + 3*u(z). Let y(j) = 0. What is j?
2901
Let q(y) be the first derivative of -28/13*y**2 + 24/13*y - 6/13*y**3 - 111 + 12/13*y**4 - 14/65*y**5. Suppose q(i) = 0. What is i?
-1, 3/7, 2
Let w = 154 + -158. Let g(b) = -241*b**2 - 74*b - 5. Let p(n) = 1445*n**2 + 445*n + 30. Let i(m) = w*p(m) - 25*g(m). Factor i(u).
5*(7*u + 1)**2
Let d be (165/(-30) + -14)*(4 + 75/(-18)). Let z(w) be the first derivative of 11 - 1/5*w**5 + d*w**4 - 20*w**3 - 64*w + 56*w**2. Suppose z(j) = 0. What is j?
1, 4
Let j be (-3)/(-6)*(3 - 3)*(-12)/24. Suppose 0*k + 0 - 2/13*k**4 + 2/13*k**2 + j*k**3 = 0. Calculate k.
-1, 0, 1
Factor -6