14)*(3*s + 2)/2
Let x(v) = -v**2 + v - 1. Let a = -20 + 21. Let f(u) = -u**2 + 1 + u - a - 2. Let j(w) = -3*f(w) + 4*x(w). Determine b, given that j(b) = 0.
-1, 2
Let t be 1159/855 + 8/(-6). Let i(n) be the third derivative of 1/9*n**3 + 1/15*n**5 - 5*n**2 + 1/9*n**4 + 0*n + t*n**6 + 0 + 1/315*n**7. Factor i(b).
2*(b + 1)**4/3
Suppose 2*h + 4 = -u + 15, 3*u = 5*h - 22. Let 12*b - u - 1 + 2*b**2 - 16*b + b**3 + 3*b = 0. What is b?
-2, -1, 1
Solve k**3 - 3*k**3 + 48 + 6*k**3 - 38*k - 31*k + 17*k = 0.
-4, 1, 3
Find p, given that 11482 - 60*p**3 + 45*p**4 - 11482 - 20*p**2 + 35*p**5 = 0.
-2, -2/7, 0, 1
Suppose l - r - 7 = -l, -l + 3*r + 1 = 0. Find v such that 3*v + l*v**2 + 3*v + 55*v**2 + 10*v**2 = 0.
-2/23, 0
Let z(a) be the second derivative of -a**5/20 + a**4/6 + 5*a**3/6 + 6*a**2 - 3*a - 1. Let c be z(4). Find i such that c*i**2 + 0*i + 0 - 1/2*i**3 = 0.
0
Let q(b) = 9*b**2 + 24*b - 28. Let l(p) = 10*p**2 + 24*p - 28. Let j be (0 - 3)*80/(-48). Let g(w) = j*l(w) - 6*q(w). Solve g(k) = 0 for k.
-7, 1
Let c = -82 - -90. Suppose 1 = 3*u - c. Factor -16/7*r**2 + 0 - 16/7*r - 4/7*r**u.
-4*r*(r + 2)**2/7
Suppose -7*k + 0 = 28. Let l(v) = 5*v**3 + 3*v - 3. Let z(r) = -6*r**3 - 4*r + 4. Let a(g) = k*l(g) - 3*z(g). Factor a(b).
-2*b**3
Let i(b) = b**2 - 33*b + 262. Let p be i(20). What is d in 15*d**p + 45/4*d**3 - 35/4*d**4 + 0 - 5*d = 0?
-1, 0, 2/7, 2
Find r, given that -4/5*r**2 - 8/5*r + 12 = 0.
-5, 3
Let q(y) = -65*y**2 - 29*y + 17. Let m(z) = -12*z - 16 + 2*z + 22 - 24*z**2 + 2*z**2. Let h(j) = -17*m(j) + 6*q(j). Solve h(k) = 0.
-1/4, 0
Solve -5 + 7*z**3 - 3/4*z**2 - 5/4*z**4 - 14*z = 0 for z.
-1, -2/5, 2, 5
Let n = 397 + -394. Let r(m) be the second derivative of -1/14*m**4 + 0 + 4/7*m**2 + 0*m**n - 9*m + 1/70*m**5. What is a in r(a) = 0?
-1, 2
Let d(y) = -5*y**3 - 2*y**2 + 2. Let o be d(-1). Let c be -1*(1 - o) + -4. Factor -4 + 2*i**2 - 1/4*i**4 + 0*i + c*i**3.
-(i - 2)**2*(i + 2)**2/4
Factor -40*o**2 + 22*o**2 + 4*o + 14*o**2 - o + o + o**3.
o*(o - 2)**2
Let c(h) be the third derivative of h**6/60 + 4*h**5/5 + 65*h**4/12 + 14*h**3 - 26*h**2 + 7*h. Solve c(i) = 0.
-21, -2, -1
Suppose -146/5*j**3 - 26/5*j**4 - 222/5*j**2 + 6/5*j**5 - 32/5 - 28*j = 0. Calculate j.
-1, -2/3, 8
Let f(g) be the first derivative of 2/9*g**3 + 1/6*g**4 - 2/15*g**5 - 17 - 1/3*g**2 + 0*g. Factor f(t).
-2*t*(t - 1)**2*(t + 1)/3
Let l be 26/7 - 4/(-14). Suppose 2*r = 3*i + 11, 2*r - 9 - l = 5*i. Factor -5*q**4 + 24*q**3 + 8*q - 4*q - 21*q**2 + 2*q - r*q**4.
-3*q*(q - 1)**2*(3*q - 2)
Let h be 13/18 + (-2)/9. Let k = 13/18 - h. Factor -2/3*g**2 - 2/3*g - 2/9*g**3 - k.
-2*(g + 1)**3/9
Let v(c) be the first derivative of -5*c**5 + 55*c**4/4 - 14*c**3 + 34*c**2/5 - 8*c/5 - 302. Factor v(t).
-(t - 1)*(5*t - 2)**3/5
Let n(y) be the third derivative of y**9/362880 - y**8/20160 - y**7/4320 - 17*y**5/30 - 36*y**2. Let x(a) be the third derivative of n(a). Factor x(m).
m*(m - 7)*(m + 1)/6
Let f = -304 - -304. Let h(j) be the second derivative of 1/18*j**4 + 1/18*j**3 + 1/60*j**5 + 0*j**2 + f - 4*j. Factor h(a).
a*(a + 1)**2/3
Let q(l) be the third derivative of -l**6/48 - 13*l**5/24 - 25*l**4/6 - 2*l**2 - 206. Factor q(t).
-5*t*(t + 5)*(t + 8)/2
Let p = 1419 - 2835/2. Solve 0 + p*u + 33/4*u**2 = 0 for u.
-2/11, 0
Let a(o) be the first derivative of -o**3 - 126*o**2 - 5292*o + 73. Factor a(w).
-3*(w + 42)**2
Let p = -4 - 8. Let g be p/(-9)*6/2. Find w, given that -2*w - w**3 + 8*w**2 - g*w**4 + 3 - 5 - 2 - 2*w**5 + 5*w**3 = 0.
-2, -1, 1
Let p(g) be the second derivative of g**8/6720 - g**7/840 + g**5/30 + g**4/6 + 5*g. Let d(z) be the third derivative of p(z). Determine l, given that d(l) = 0.
-1, 2
Let m(a) be the first derivative of a**4/20 - 31*a**3/3 + 6083*a**2/10 - 5929*a/5 - 323. Factor m(c).
(c - 77)**2*(c - 1)/5
Let v(k) = -325*k**2 - k - 1. Let t be v(-1). Let d be (-4)/14 + t/(-35). Determine o so that o**4 - 11*o**3 + d*o**3 - 3*o**4 = 0.
-1, 0
Let r be ((-747)/(-664))/(1/2). Let -21/4*v**2 + r*v - 3/8 + 3/4*v**5 - 27/8*v**4 + 6*v**3 = 0. What is v?
1/2, 1
Let z(s) be the first derivative of 30 + 0*s + 1/6*s**4 + 2/3*s**2 + 2/3*s**3. Factor z(x).
2*x*(x + 1)*(x + 2)/3
Let u(h) = h**2 + h. Let g(t) = 2*t**3 - 29*t**2 + t + 32. Let p(v) = 2*g(v) - 6*u(v). Factor p(j).
4*(j - 16)*(j - 1)*(j + 1)
Let o(z) be the third derivative of z**5/60 + 25*z**4/8 + 37*z**3/3 + 46*z**2 + 1. What is l in o(l) = 0?
-74, -1
Factor -17*x**2 + 3*x**4 + 16*x**3 + 5*x**2 + x**4 + 2 + 5*x - 10*x**2 - 5*x**5.
-(x - 1)**3*(x + 2)*(5*x + 1)
Let w be (8 - (-1331)/(-165))*-5. What is v in 1/3 + v + w*v**3 + v**2 = 0?
-1
Let f(r) = 9*r**3 + 150*r**2 + 42*r. Let q(z) = z**3 + 15*z**2 + 4*z. Let u(o) = -2*f(o) + 21*q(o). Factor u(t).
3*t**2*(t + 5)
Let -90/11*h - 2/11*h**4 - 2*h**3 + 0 - 78/11*h**2 = 0. Calculate h.
-5, -3, 0
Let a(r) be the third derivative of -r**5/150 - r**4/30 + r**3/5 + 29*r**2. Factor a(k).
-2*(k - 1)*(k + 3)/5
Let z(a) be the second derivative of -a**10/10080 + a**8/2240 + 17*a**4/12 - 14*a. Let v(y) be the third derivative of z(y). Factor v(o).
-3*o**3*(o - 1)*(o + 1)
Let u(j) = j - 5. Let i be u(-13). Let t be (-9)/6 + (-31)/i. Determine n so that 4/9*n**2 - 2/9*n - t*n**3 + 0 = 0.
0, 1
Let i = 114 - 569/5. Let r(c) be the second derivative of 0 - 11/12*c**4 + c**2 + 2*c + i*c**5 + 5/6*c**3. Solve r(l) = 0.
-1/4, 1, 2
Let r(v) be the second derivative of -97/6*v**6 + 0 - 6*v + 0*v**2 + 65/3*v**4 - 27/2*v**5 - 20/3*v**3 - 10/3*v**7. Let r(k) = 0. What is k?
-2, 0, 1/4, 2/7
Let z = -20837/4 - -5210. Determine c so that 0*c + 0 - 3/4*c**3 - z*c**2 = 0.
-1, 0
Let v(w) be the third derivative of 13*w**2 + 0*w**3 + 0*w - 1/42*w**5 + 1/42*w**4 + 0 - 1/210*w**6 + 1/147*w**7. Solve v(c) = 0 for c.
-1, 0, 2/5, 1
Let z(f) be the third derivative of 3*f**3 + 0 + 1/120*f**5 - 20*f**2 + 0*f - 1/4*f**4. Factor z(y).
(y - 6)**2/2
Let t be (17 + -9)*11/198. Suppose t*i**3 + 4/3*i**2 - 4/9*i - 4/3*i**4 + 0 = 0. What is i?
-1, 0, 1/3, 1
Let t(o) be the second derivative of -1/21*o**7 + 1/15*o**6 + 1/10*o**5 + 0 - 1/6*o**4 + 0*o**2 + 10*o + 0*o**3. Suppose t(a) = 0. What is a?
-1, 0, 1
Let a(y) = y**3 + 11*y**2 - y - 9. Let g be a(-11). What is u in 174*u**g - 173*u**2 - 2*u + 3*u**4 + 2*u**3 - 4*u**4 = 0?
-1, 0, 1, 2
Factor 12 + 8 + 11 - 37 - 12*f**3 + 11*f + f**5 + 0 + 4*f**4 + 2*f**2.
(f - 1)**3*(f + 1)*(f + 6)
What is j in 2/3*j**2 + 50/3*j - 52/3 = 0?
-26, 1
Let y(s) be the first derivative of 5/3*s**3 + 0*s - 2 - 1/210*s**5 - 1/42*s**4 + 0*s**2 - 1/2520*s**6. Let r(z) be the third derivative of y(z). Factor r(f).
-(f + 2)**2/7
Let d be (-12)/(0 + 0 + -2). Factor d*o**2 + 18*o + 9*o**2 - 18*o**2 + 4 - 24*o**3 + 5*o**2.
-2*(o - 1)*(3*o + 2)*(4*o + 1)
Solve -8 + 6*t + 7*t + 7*t**3 - 18*t**2 + 2*t**4 - 3*t**4 + 7*t = 0.
1, 2
Suppose 0 = -2*c + 5*j - 16, -10 = c - 2*j - j. Suppose -434*v - v**3 - 12 + 412*v - v**3 - 12*v**c = 0. What is v?
-3, -2, -1
Solve -33/7*s**4 + 0 - 87/7*s**2 - 18/7*s + 9/7*s**5 - 111/7*s**3 = 0 for s.
-1, -1/3, 0, 6
Let p = -1 + 9. Suppose 2 = -3*g + p. What is o in g*o**3 - 9*o**3 - 3*o - 9*o**2 + o = 0?
-1, -2/7, 0
Let k(w) be the first derivative of 16*w + 3 + 196/3*w**3 + 56*w**2. Factor k(o).
4*(7*o + 2)**2
Determine h, given that 6*h**3 - 10*h**5 + 11*h**4 + 16*h**3 - 26*h**2 - 343531*h + 15*h**4 + 343519*h = 0.
-1, -2/5, 0, 1, 3
Suppose 2*h - 7 = -x, 2*x + 6 = -h + 17. Solve -13*a**3 + x*a**4 - 8*a**3 - a**2 - 20*a**4 - 5*a**2 = 0 for a.
-1, -2/5, 0
Let y(d) be the first derivative of -d**3/12 + 23*d**2/8 - 15*d + 205. Suppose y(c) = 0. What is c?
3, 20
Suppose 37 = -5*l + 92. Factor -l*q + 0*q - 3*q**2 + 2*q.
-3*q*(q + 3)
Let p(i) be the second derivative of 0 - 4/3*i**3 + 1/24*i**4 + 16*i**2 + 27*i. Factor p(k).
(k - 8)**2/2
Factor -4*b**2 + 19*b**2 + 25*b**3 + 5*b**2 + 17*b**3 - 7*b**3.
5*b**2*(7*b + 4)
Let v be (6 + -1)*1/(-15)*-6. Let k be 0 + v/4 - 0. Find d, given that -5/2*d**3 - k*d**5 + d**2 + 0 + 0*d + 2*d**4 = 0.
0, 1, 2
Let v(y) = -4*y**2 + 4*y - 20. Let x(n) = -n + 1. Let g = 47 - 48. Let i(f) = g*v(f) - 20*x(f). Let i(r) = 0. What is r?
-4, 0
Let j = 7 - -5. Suppose 0 = 5*c - j - 8. Find y such that 0 + 0*y**2 + y**3 + 0*y + 1/2*y**c = 0.
-2, 0
Let r(v) be the first derivative of -8/21*v**3 + 0*v + 2/7*v**4 + 0*v**2 + 1 - 2/35*v**5. Factor r(y