6*v**6 + 2/5*v**5 + 8 + 1/4*v**4 + 0*v - 2/3*v**3. Find s such that q(s) = 0.
-1, 0, 1, 2
Factor -1/2*f**2 + 1/2*f + 10.
-(f - 5)*(f + 4)/2
Suppose -2*y + 9*u = 10*u - 70, 3*u + 130 = 4*y. Factor -284*g + 8427 + 1686*g**2 - 1683*g**2 - y*g.
3*(g - 53)**2
Let i(x) be the second derivative of -8*x**7/105 - 94*x**6/75 - 72*x**5/25 - 19*x**4/15 + 4*x**3/3 - 22*x - 2. Let i(u) = 0. What is u?
-10, -1, 0, 1/4
Suppose 0 = 7*y - 24 + 3. Suppose 1 - y = -i. Suppose -3*u**2 - u**i - 7 - 1 - 12*u + 0 = 0. Calculate u.
-2, -1
Let f(p) be the first derivative of 13/4*p**4 + 1/6*p**6 - 123 + 2*p**2 - 4*p**3 + 0*p - 6/5*p**5. Solve f(t) = 0 for t.
0, 1, 2
Suppose -p = -2704*r + 2706*r + 20, 3*r = -2*p - 30. Factor 0 + 2/11*z**3 + p*z - 2*z**2.
2*z**2*(z - 11)/11
Let n = 276503/207375 - 1/69125. Factor 2/3*a + n*a**2 + 2/3*a**3 + 0.
2*a*(a + 1)**2/3
Let y(l) be the second derivative of 5*l**4/12 - 1700*l**3/3 - 3405*l**2/2 - 39*l - 15. Suppose y(q) = 0. What is q?
-1, 681
Let j(s) = s**2 - 2. Let h be j(6). Let z be (-39)/(-6 - 63/(-14)). Determine w so that -h*w**3 + z*w**3 - w**2 - 11*w**2 + 4*w**4 = 0.
-1, 0, 3
Let l be (-720)/630 + (2345/294 - 6). Determine g, given that -5/3*g**2 + 1/6*g**5 + 5/6*g - 1/6 - l*g**4 + 5/3*g**3 = 0.
1
Let d = 345358 + -345356. Factor 16 + 4/5*r**3 + 128/5*r + 52/5*r**d.
4*(r + 1)*(r + 2)*(r + 10)/5
Let u(s) be the first derivative of 2*s**5/5 + 47*s**4 + 1848*s**3 + 19602*s**2 - 359370*s - 1699. Determine c so that u(c) = 0.
-33, 5
Let j(i) be the third derivative of i**7/42 + 3*i**6/4 - 235*i**5/12 + 45*i**4 - 4013*i**2 + 2. Factor j(s).
5*s*(s - 8)*(s - 1)*(s + 27)
Let n(s) be the second derivative of 2*s**5/5 - 137*s**4/3 + 4760*s**3/3 - 2312*s**2 - 551*s. Factor n(q).
4*(q - 34)**2*(2*q - 1)
Let w(h) be the third derivative of h**2 + 37/3*h**4 + 0 - 120*h - 1/15*h**5 - 2738/3*h**3. Factor w(c).
-4*(c - 37)**2
Let c = 113947 - 113945. Suppose 3468*n**c - 1224*n + 144 - 9826/3*n**3 = 0. Calculate n.
6/17
Let z(n) = 627*n**3 + 4506*n**2 + 7127*n - 3616. Let c(y) = -628*y**3 - 4509*y**2 - 7128*y + 3619. Let w(j) = 2*c(j) + 3*z(j). Factor w(x).
5*(5*x - 2)*(5*x + 19)**2
Suppose 0*b - 39 = -19*b + 37. Let s(a) be the second derivative of 0 - a + 5/3*a**3 + 7/6*a**b - 2*a**2. Factor s(l).
2*(l + 1)*(7*l - 2)
Let u = 64 - 13. Determine c, given that -13 - 12 + u + 15*c - 5*c**2 - 3 - 3 = 0.
-1, 4
Suppose w - 8 = 2*w - 4*j, 2*w - 4*j + 20 = 0. Let d(k) = -20*k**2 + 52*k + 60. Let m(h) = 8*h**2 - 21*h - 24. Let v(o) = w*m(o) - 5*d(o). Solve v(n) = 0 for n.
-1, 3
Let s(b) be the second derivative of b**6/135 - b**5/18 - b**4/54 + 5*b**3/27 - 1403*b. Factor s(v).
2*v*(v - 5)*(v - 1)*(v + 1)/9
Let a(l) be the second derivative of -l**7/336 - l**6/30 - 21*l**5/160 - 11*l**4/48 - l**3/6 - l + 417. Solve a(s) = 0.
-4, -2, -1, 0
Let z(p) be the third derivative of p**6/120 + 13*p**5/15 + 25*p**4/6 - 155*p**2. Factor z(r).
r*(r + 2)*(r + 50)
Let -15/2*f**4 + 71/2*f**3 + 1/2*f**5 - 16 - 133/2*f**2 + 54*f = 0. Calculate f.
1, 4, 8
Suppose -2342*b + 18 = -4640*b + 2321*b - 28. Factor 0 + u**b + 11/5*u.
u*(5*u + 11)/5
Let w(z) be the second derivative of z**8/16800 - z**7/3150 - z**6/600 + 23*z**4/6 + 97*z - 1. Let h(v) be the third derivative of w(v). What is f in h(f) = 0?
-1, 0, 3
Let i(w) be the second derivative of -w**6/2700 - w**5/900 + w**4/90 + 95*w**3/6 - w - 11. Let z(n) be the second derivative of i(n). Factor z(l).
-2*(l - 1)*(l + 2)/15
Let j be 478/70 + (-9)/21. Let w be 5/(-75)*-72 + 10*(-2)/5. Suppose j*h**4 - 12/5*h**5 - 32/5*h**2 + 0 - w*h**3 + 16/5*h = 0. Calculate h.
-1, 0, 2/3, 1, 2
Suppose -34*r = 4*z - 36*r - 144, -4*z + 144 = 4*r. Factor 22353*h**3 - 22348*h**3 - 20*h**2 + h + 50 - z*h.
5*(h - 5)*(h - 1)*(h + 2)
Let z = -15831 - -15831. Factor 0*h - 4/5*h**2 + z + 2/5*h**4 - 2/5*h**3.
2*h**2*(h - 2)*(h + 1)/5
Let t(f) be the third derivative of f**7/5880 + 13*f**6/2520 + 11*f**5/420 + 3*f**3/2 - 160*f**2. Let o(a) be the first derivative of t(a). Factor o(m).
m*(m + 2)*(m + 11)/7
Suppose 6*a - a - 12 = -4*h, -2*a + 16 = -4*h. Suppose 0 = -x + a*v, 131*v = 136*v. Factor -162*f**3 - 3/2*f**5 - 324*f**2 + 0 + x*f - 27*f**4.
-3*f**2*(f + 6)**3/2
Let d(r) = -r - 1. Let f(a) = -a**3 + 38*a**2 - 357*a + 4. Suppose 3*n = 2*t - 15, n = 2*t + 3*t - 5. Let p(x) = n*f(x) - 20*d(x). What is g in p(g) = 0?
0, 19
Let v(o) = -372*o**3 - 405*o**2 - 3*o + 21. Let q(l) = 4*l**2 - 1. Let r(k) = -3*q(k) - v(k). Suppose r(y) = 0. What is y?
-1, -1/4, 6/31
Let o(v) be the second derivative of 1/20*v**4 - 1/100*v**5 - 3*v - 3/10*v**2 + 1/30*v**3 + 5. Factor o(u).
-(u - 3)*(u - 1)*(u + 1)/5
Let j(y) be the third derivative of y**6/80 - 3*y**5/4 - 97*y**4/16 - 33*y**3/2 + 1019*y**2. Factor j(t).
3*(t - 33)*(t + 1)*(t + 2)/2
Let q(f) be the first derivative of -17*f**4/16 + 15*f**3/4 + 9*f**2/4 + 8399. Let q(r) = 0. Calculate r.
-6/17, 0, 3
Let g(o) be the third derivative of 0*o + 1/960*o**6 - 166*o**2 + 1/160*o**5 + 0 + 0*o**3 + 1/96*o**4. Factor g(a).
a*(a + 1)*(a + 2)/8
Let c(v) be the third derivative of -v**5/15 - 202*v**4/3 - 81608*v**3/3 - 383*v**2. Find w such that c(w) = 0.
-202
Let q = 19423/60 - 971/3. Let z(v) be the second derivative of -3/10*v**3 + 0 + 0*v**2 + 5*v + q*v**4. Factor z(l).
3*l*(l - 3)/5
Suppose 20 - 12 = -v, 4 = 4*d - 9*v + 10*v. Factor -30/23*p**d - 22/23*p + 4/23 - 56/23*p**2.
-2*(p + 1)**2*(15*p - 2)/23
Let c(f) = -2082*f**2 - 2073*f + 24. Let g(y) = 1042*y**2 + 1038*y - 10. Let a(l) = -2*c(l) - 5*g(l). Solve a(m) = 0 for m.
-1, 1/523
Let y be (52 - (-8525)/(-165))/(14/6). Factor 6/7 + y*c**2 + 5/7*c.
(c + 2)*(c + 3)/7
Let w(v) = -31*v**3 + 2593*v**2 + 448937*v + 25888585. Let n(u) = -80*u**3 + 5185*u**2 + 897875*u + 51777170. Let t(j) = 2*n(j) - 5*w(j). Factor t(p).
-5*(p + 173)**3
Let -8*n**2 - 8/3*n**3 + 2/3*n**5 + 0*n + 2*n**4 + 0 = 0. Calculate n.
-3, -2, 0, 2
Let u(k) be the second derivative of -3*k**6/50 + 23*k**5/25 - 317*k**4/60 + 13*k**3 - 36*k**2/5 - 5127*k. Let u(s) = 0. What is s?
2/9, 3, 4
Let y(q) = 4*q - 3. Let d(f) = 7*f - 4. Let u(z) = 3*d(z) - 5*y(z). Let l(n) = -3*n**2 + 6*n + 35. Let x(j) = 4*l(j) - 44*u(j). Factor x(b).
-4*(b + 2)*(3*b - 1)
Let o(q) be the third derivative of q**5/15 + 5*q**4/3 - 50*q**3 + 205*q**2 + 1. Factor o(l).
4*(l - 5)*(l + 15)
Let k = 316 - 312. Suppose -613*z + 2533*z + 899 + 772*z**2 + 525 - 120*z**3 + k*z**4 - 400 = 0. Calculate z.
-1, 16
Let o(z) = -3*z**3 + 106*z**2 + 48*z - 8. Let c(i) = -2*i**3 + 70*i**2 + 30*i - 5. Let y(q) = 8*c(q) - 5*o(q). Factor y(d).
-d**2*(d - 30)
Let i(j) = -27*j**4 + 56*j**3 + 75*j**2 - 395*j + 126. Let s(m) = -34*m**4 + 56*m**3 + 74*m**2 - 396*m + 128. Let z(p) = -4*i(p) + 3*s(p). Solve z(f) = 0.
-3, 1/3, 2, 10
Let c(r) = -3454*r + 62180. Let g be c(18). Factor -2/5*z - g + 2/5*z**2.
2*(z - 5)*(z + 4)/5
Let a = -2800 + 2805. Let y(h) be the first derivative of -5/4*h**2 + a + 1/2*h - h**3. Factor y(x).
-(x + 1)*(6*x - 1)/2
Let u(r) be the first derivative of 5*r**6/6 - 5*r**5 - 15*r**4/2 + 160*r**3/3 + 80*r**2 - 732. Find l such that u(l) = 0.
-2, -1, 0, 4
Let q(p) = -p**2 + 6*p - 3. Suppose 4*b - 4 = 5*h, 0 = -h + 4*h. Let a(s) = 2*s + s**2 + 1 - 2*s. Let o(c) = b*q(c) + 5*a(c). Factor o(n).
2*(n + 1)*(2*n + 1)
Factor 0*n + 8/9*n**4 - 30*n**2 + 34/3*n**3 + 0.
2*n**2*(n + 15)*(4*n - 9)/9
Let o be (-1)/(1/(-7))*(-12)/(-28). Let x(r) be the first derivative of -1/15*r**6 + 2/3*r**o + 2/5*r**2 - 2/25*r**5 - 7 + 3/10*r**4 + 0*r. Factor x(t).
-2*t*(t - 2)*(t + 1)**3/5
Let t(m) be the second derivative of m**4/30 - 47*m**3/5 - 303*m - 2. Factor t(h).
2*h*(h - 141)/5
Factor 10*a - 258 - 1312*a**2 + 117*a + 666*a**2 + 647*a**2.
(a - 2)*(a + 129)
Suppose 37*v = 3031 + 373. Let g = v + -268/3. Factor -32/3*o + 128/9 - 2/9*o**3 + g*o**2.
-2*(o - 4)**3/9
Let d(f) be the first derivative of 25*f**4/4 - 6560*f**3/3 + 9145*f**2/2 - 2610*f - 1141. Find v, given that d(v) = 0.
2/5, 1, 261
Let -1223*d**2 + 150*d - 1186*d**2 - 145 + 2404*d**2 = 0. What is d?
1, 29
Let l(z) be the third derivative of -z**7/1050 + 381*z**6/50 - 1306449*z**5/50 + 497757069*z**4/10 - 568936329867*z**3/10 + 132*z**2. Factor l(g).
-(g - 1143)**4/5
Let q(j) = 17*j**3 - 73*j**2 - 72*j + 18. Let r(b) = 18*b**3 - 72*b**2 - 71*b + 19. Let c(k) = 19*q(k) - 18*r(k). Suppose c