z.
-1, 0, 9
Suppose -79*r = -42*r - 111. Let a(g) be the second derivative of -1/28*g**4 - 1/21*g**r + 0*g**2 + 0 - 5*g - 1/140*g**5. Factor a(p).
-p*(p + 1)*(p + 2)/7
Let i be (85/(-34))/(11/(-4)). Factor -2*c**2 + 8/11*c**3 + 4/11 + i*c.
2*(c - 2)*(c - 1)*(4*c + 1)/11
Factor -115/8*n**2 + 7/2 - 41/2*n - 13/8*n**3.
-(n + 2)*(n + 7)*(13*n - 2)/8
Let c(s) be the third derivative of s**6/60 + 11*s**5/150 + 7*s**4/60 + s**3/15 - 2*s**2 + 18*s. Determine n, given that c(n) = 0.
-1, -1/5
Suppose 5*b - 19 = -2*o + 3*o, -5*b = 2*o - 22. Suppose b = 5*f - 6. Determine k, given that -68 + 9*k + 70 - 9*k**3 - 4*k**2 + 2*k**f = 0.
-1, -2/9, 1
Let o = -24 + 21. Let n(z) = -z**3 - 3*z**2 - 3*z - 4. Let b be n(o). Factor 2*w + w - w**3 - w + 4*w**3 + b*w**2.
w*(w + 1)*(3*w + 2)
Let s be 5/((-15)/(-99))*20/(-15). Let f = -85/2 - s. Suppose -f*a - 3/4*a**4 + 3/4 + 3/2*a**3 + 0*a**2 = 0. What is a?
-1, 1
Suppose 18*o - 65 + 29 = 0. Find g, given that -9/4*g + 3/4*g**o + 3/2 = 0.
1, 2
Let w = -13 + 29. Let y = w + -12. Factor 3*k - 6*k**2 + k**4 + 17*k**3 - 17*k**3 + 5*k**y - 3*k**5.
-3*k*(k - 1)**3*(k + 1)
Let g(v) be the second derivative of v**6/30 + 21*v**5/10 + 397*v**4/12 - 154*v**3 + 242*v**2 - 6*v - 6. Factor g(h).
(h - 1)**2*(h + 22)**2
Let a(w) be the second derivative of 2/3*w**2 + 1/3*w**4 + w**3 - 2/15*w**6 - 13*w - 11/30*w**5 + 0. Find g, given that a(g) = 0.
-2, -1/2, -1/3, 1
Let l(v) be the first derivative of -16*v - 76/3*v**3 - 1/3*v**6 - 38 - 25/2*v**4 - 28*v**2 - 16/5*v**5. Factor l(j).
-2*(j + 1)**2*(j + 2)**3
Let f(z) be the first derivative of -z**4/6 + 7*z**3/3 - 6*z**2 + z - 2. Let m(u) be the first derivative of f(u). Find o such that m(o) = 0.
1, 6
Let k be (-57)/76 + (-87)/(-36). Let -20/3*w**4 - k*w**5 - 5/3*w - 20/3*w**2 - 10*w**3 + 0 = 0. Calculate w.
-1, 0
Suppose -3*w = -4*d + 21, -12 = 3*w - 11*d + 10*d. Let v be -5 + (8 - -2) + w. Determine n, given that 1/2 - 13/4*n**3 + 3/4*n**4 - 11/4*n + 19/4*n**v = 0.
1/3, 1, 2
Let i(d) be the second derivative of -2025*d**4 - 90*d**3 - 3*d**2/2 - 21*d - 7. Suppose i(n) = 0. Calculate n.
-1/90
Suppose -17*f = -2701 + 2497. Let k(b) be the first derivative of 0*b**2 + 9/10*b**6 + 0*b**3 - 6/25*b**5 + 0*b + 0*b**4 + f. Factor k(s).
3*s**4*(9*s - 2)/5
Let k = 68 - 55. Determine a, given that -1 - 15*a - a**2 + 30*a - k*a = 0.
1
Find t, given that -9 + 21/2*t**5 - 66*t**4 - 141*t**2 + 144*t**3 + 123/2*t = 0.
2/7, 1, 3
Let b(w) be the second derivative of 2*w**2 + 1/36*w**4 - 1/90*w**5 + 0 + 11*w + 2/9*w**3. Let v(c) be the first derivative of b(c). Factor v(t).
-2*(t - 2)*(t + 1)/3
Let j = 37 + -35. Find f such that 8 - 4*f**4 + 2 - 14 + 8*f**j = 0.
-1, 1
Let c = -352 + 232. Let z = c + 122. Factor 2/3*g - 2/3*g**z + 0 - 2/3*g**3 + 2/3*g**4.
2*g*(g - 1)**2*(g + 1)/3
Solve -65*x + 63*x - 65 - x**2 + 257 + 5*x**2 - 194*x = 0.
1, 48
Let x be 8/(-52)*-1 + 4/(-26). Let z(g) be the second derivative of x*g**2 - 6*g + 0 - 1/3*g**3 - 1/20*g**5 - 1/4*g**4. Factor z(v).
-v*(v + 1)*(v + 2)
Let k be 14/3*108/126. Solve 4*y**3 - 8 + 8 + 4 - k*y**2 - 4*y = 0.
-1, 1
Suppose 5*z - 3 = g, z - 26*g - 12 = -22*g. Determine i so that 4/9*i + 2/9*i**3 + z - 2/3*i**2 = 0.
0, 1, 2
Let j be (340/(-255))/((-16)/6). Suppose -j*d**3 - 3/4 + d**2 - 1/4*d**4 + 1/2*d = 0. What is d?
-3, -1, 1
Suppose 4*q = y + 35 - 3, q - 8 = 2*y. Let v be (6 + -3)*q/42. Suppose -2/7*n + 2/7*n**2 - v = 0. What is n?
-1, 2
Let s(q) = q**2 - 5*q - 5. Let o be s(6). Let r be (0 - o)/(-2 - 1). Factor -r + 1/3*w**2 + 0*w.
(w - 1)*(w + 1)/3
Let y(r) be the second derivative of 0 - 1/180*r**6 + 3/2*r**2 + r + 0*r**5 + 1/12*r**4 - 2/9*r**3. Let k(j) be the first derivative of y(j). Factor k(q).
-2*(q - 1)**2*(q + 2)/3
Let n(w) be the third derivative of w**8/168 - 11*w**7/35 + 31*w**6/20 - 91*w**5/30 + 5*w**4/2 + 23*w**2. Factor n(m).
2*m*(m - 30)*(m - 1)**3
Suppose -5*z = -3*z - u - 681, 5*u = 2*z - 677. Determine k, given that -z - k**3 + 2*k + 341 + k**2 = 0.
-1, 0, 2
Let q(s) be the second derivative of s**4/36 - s**3/9 - 4*s**2 - 2*s - 40. Let q(b) = 0. What is b?
-4, 6
Let a = -125 + 129. Suppose -4*u + 16 = -0*j + 2*j, -a*u + 16 = 4*j. Factor 1/4*b**3 - 1/2*b**2 + j*b + 0.
b**2*(b - 2)/4
Let m be (16/70)/(((-202)/(-909))/(5/9)). Let i = -152/7 + 22. Let -i + m*s**3 + 0*s + 6/7*s**2 = 0. What is s?
-1, 1/2
Let y be 2*(-2)/1 - -1. Let c = y - -7. Factor 3*a**c - 3*a**2 - 6*a**4 - 3*a**2 + 6*a**3 + 3*a**2.
-3*a**2*(a - 1)**2
Suppose -224*h**3 - 2*h**2 - 12*h + 441*h**3 - 215*h**3 = 0. Calculate h.
-2, 0, 3
Let n be 3832/(-28) + 2/(-14). Let z = n - -689/5. Factor 14/5*t**3 + z + 22/5*t + 32/5*t**2.
2*(t + 1)**2*(7*t + 2)/5
Let t(k) = -8*k**4 - 14*k**3 + 23*k**2 + 89*k + 72. Let u(n) = 39*n**4 + 69*n**3 - 114*n**2 - 444*n - 360. Let z(s) = -24*t(s) - 5*u(s). Factor z(g).
-3*(g - 3)*(g + 2)**3
Let i(o) = o**2 + 297*o + 2888. Let x(a) = 148*a + 1444. Let l(u) = 4*i(u) - 7*x(u). Factor l(b).
4*(b + 19)**2
Suppose -2*o + z = o - 33, 63 = 5*o + z. Let j be (o/10)/((-36)/(-120)). Solve -2*f**j + f**3 - 5*f**3 + 2*f - 4 - f**2 + 7*f**2 + 2*f**3 = 0 for f.
-2, -1, 1
Let w(h) = 97*h + 776. Let x be w(-8). Factor -2*r + x + 5/2*r**4 - 4*r**2 + 7/2*r**3.
r*(r - 1)*(r + 2)*(5*r + 2)/2
What is s in -3/2*s**2 + 21/2*s + 27 = 0?
-2, 9
Let v = 117 - 119. Let j(f) = -9*f**5 - 24*f**4 - 14*f**3 + 2*f**2 + 2. Let q(a) = -a**3 + a**2 + 1. Let u(h) = v*q(h) + j(h). Factor u(m).
-3*m**3*(m + 2)*(3*m + 2)
Let r(u) = -12*u - 12 + 7*u**3 - u**3 + 4*u**3. Let l(g) = g**3 - g - 1. Suppose 23 + 13 = 3*n. Let t(a) = n*l(a) - r(a). Find c such that t(c) = 0.
0
Let y(u) = -7*u**3 + 152*u**2 + 45*u - 20. Let o be y(22). Find v such that 0 - 1/2*v**o + 0*v = 0.
0
Suppose 4*o - 4 = 4*t, -t + 6 = t + 2*o. Let d(b) = t - b**2 + 3 + 0 - 3. Let u(s) = -4*s + 4. Let v(h) = 3*d(h) - u(h). Suppose v(q) = 0. What is q?
1/3, 1
Let l(w) be the third derivative of -12*w**2 + 0 + 1/50*w**5 - 1/5*w**3 - 1/200*w**6 + 1/40*w**4 + 0*w. Let l(s) = 0. What is s?
-1, 1, 2
Let f(j) be the third derivative of 1/90*j**5 + 1/315*j**7 + 0*j - 10*j**2 + 0 + 1/90*j**6 + 0*j**3 + 0*j**4. Factor f(q).
2*q**2*(q + 1)**2/3
Let n(c) be the second derivative of -c**7/140 - 3*c**6/80 - c**5/20 + c**2/2 + 3*c. Let s(k) be the first derivative of n(k). Determine m, given that s(m) = 0.
-2, -1, 0
Suppose -2*d**5 + 7*d**3 + 3*d**4 - 4*d + 5*d**3 - 5*d**4 + 8*d**2 - 12*d = 0. What is d?
-2, 0, 1, 2
Suppose -2*q + 3*i - 7*i = -24, 0 = -2*q - 3*i + 20. Suppose 0 = -q*a + 10*a - 12. Solve -1/3*r**a + 1/6*r**4 - 4/3 + 2*r - 1/2*r**3 = 0 for r.
-2, 1, 2
Let o(d) be the third derivative of 0 - 1/30*d**5 + 0*d - 1/4*d**4 - 8*d**2 + 0*d**3. Determine h so that o(h) = 0.
-3, 0
Let q(i) = 13*i**4 - 2*i**3 + 23*i**2 + 18*i - 5. Let r(s) = -5*s**4 + s**3 - 11*s**2 - 9*s + 2. Let l(v) = 4*q(v) + 10*r(v). Let l(a) = 0. Calculate a.
-3, -1, 0, 3
Let 2/7*n**3 - 8/7*n**2 - 22/7*n - 12/7 = 0. Calculate n.
-1, 6
Let o(b) = -b**2 + 10. Let d(t) = t**2 + 6*t + 71. Let c(k) = d(k) + 2*o(k). What is g in c(g) = 0?
-7, 13
Factor 1/4*s**5 - 9*s + 0 + 35/4*s**3 + 3*s**4 - 3*s**2.
s*(s - 1)*(s + 1)*(s + 6)**2/4
Let t(a) = -a**4 + 9*a**3 + 16*a**2 - 9*a - 15. Let q(x) = 4*x**4 - 26*x**3 - 48*x**2 + 26*x + 44. Let f(i) = 3*q(i) + 10*t(i). What is m in f(m) = 0?
-3, -1, 1
Let l be 4/(-24)*3*0. Let m(i) be the first derivative of 1/9*i**3 - 2 + l*i + 1/3*i**2. Factor m(o).
o*(o + 2)/3
Suppose -m + 0*p + 13 = -2*p, 4*m - 28 = 2*p. Suppose -17*q = -16*q - m. Factor 1/4*n + 0 - 1/4*n**q - 1/2*n**2 + 1/2*n**4 + 0*n**3.
-n*(n - 1)**3*(n + 1)/4
Let z(d) = 16*d**2 + 4*d + 2. Let l be z(-1). Suppose -l + 14 = 4*k. Find g such that k + 2/5*g - 1/5*g**2 = 0.
0, 2
Let v(j) be the first derivative of -j**6/2 + 42*j**5/5 + 3*j**4/2 - 28*j**3 - 3*j**2/2 + 42*j + 702. Solve v(t) = 0 for t.
-1, 1, 14
Let y(z) be the second derivative of -z**7/336 + z**6/40 - z**5/160 - z**4/4 - z**3/3 + 29*z. Factor y(q).
-q*(q - 4)**2*(q + 1)**2/8
Let j be 31/(-930)*(2/(-1) + -1). Let r(q) be the second derivative of 2*q**2 + 0 + 0*q**4 + j*q**5 - q**3 + 8*q. Determine y, given that r(y) = 0.
-2, 1
Determine h, given that -4*h**2 + 8 + h**2 + 3*h**2 - 4*h**2 - 14*h = 0.
-4, 1/2
Suppose -3*g + 4 = 3*c - 8, -c + 4 = -4*g. Let h(y) be the second derivative of 0*y**2 + 1/24*