k + 7*k = q. Factor -20 - 45/4*m**k - 5/4*m**3 - 30*m.
-5*(m + 1)*(m + 4)**2/4
Let g(t) = -t**3 + 4*t**2 + 8*t - 13. Let d be g(5). Factor -6*a**4 - 44*a**d - 31*a + 15*a**3 - 18 + 4*a**4 + 79*a + a**3.
-2*(a - 3)**2*(a - 1)**2
Suppose -58*p = -39*p - 114. Let d(g) be the first derivative of 0*g**5 + 0*g + 0*g**3 - 1/12*g**p + 2 - 1/4*g**2 + 1/4*g**4. Suppose d(k) = 0. What is k?
-1, 0, 1
Let d(v) = -v**3 + 3*v**2 + 16*v - 34. Let w be d(2). Find o, given that 64/23 - 2/23*o**3 + 20/23*o**w - 64/23*o = 0.
2, 4
Let n(k) be the second derivative of k**6/1080 + 13*k**3/6 - k**2 - 4*k + 3. Let d(t) be the second derivative of n(t). Determine z so that d(z) = 0.
0
Suppose 2*j + 76 = 4*i - 4, -2*i - 3*j = -32. Suppose -i = 5*q - 69. Determine r, given that -6*r**3 + 2*r**3 + 0*r**2 + q*r - r**3 - 5*r**2 = 0.
-2, 0, 1
Let k(b) be the third derivative of 0*b + 1/20*b**5 + 0 - 2*b**3 + 15*b**2 - 3/8*b**4. Determine x, given that k(x) = 0.
-1, 4
Suppose 0 = 4*k - w + 55, -7*w = -3*w - 12. Let l = k - -22. Factor -3*m**5 - 9*m**3 + 3 + 3*m**2 - 6 + 3 + l*m**4.
-3*m**2*(m - 1)**3
Suppose 5*t = -2*t + 84. Factor -t*m**2 - 8*m**3 + 8 + 8 + 4*m**3.
-4*(m - 1)*(m + 2)**2
Let l(i) be the third derivative of 0 - 1/18*i**5 - 2*i**2 + 7/72*i**6 + 0*i**4 + 0*i + 0*i**3. What is d in l(d) = 0?
0, 2/7
Let n(l) be the second derivative of -2/45*l**6 - 7/9*l**4 - 1/3*l**5 - 2/3*l**3 + 0*l**2 - 13*l + 0. Find z such that n(z) = 0.
-3, -1, 0
Factor 24 + 40/7*g + 2/7*g**2.
2*(g + 6)*(g + 14)/7
Let d = -1347 - -1352. Let x(q) be the first derivative of 0*q**2 + 1/14*q**4 - 1/21*q**6 + 2/35*q**d + 10 + 0*q - 2/21*q**3. Factor x(i).
-2*i**2*(i - 1)**2*(i + 1)/7
Let p(s) = -s**3 + 5*s**2 + 4*s - 18. Let v be p(5). Let t = -14/23 - -208/115. Factor t*k + 3/5 + 3/5*k**v.
3*(k + 1)**2/5
Let i = 107 + -106. Let k be -1 - i - 0 - (1 - 3). Determine w so that k - 4/7*w**3 + 8/7*w**2 + 0*w - 4/7*w**4 = 0.
-2, 0, 1
Suppose 2*x - 3*d + 513 = 4*x, -x + 263 = -5*d. Let c = x + -505/2. Suppose -1 + c*n - 8*n**2 + 7/2*n**3 = 0. Calculate n.
2/7, 1
Let j = -5/511 + 2099/5621. Determine g so that 0*g**2 - j*g**3 + 2/11*g**4 - 2/11 + 4/11*g = 0.
-1, 1
Let o(d) be the third derivative of d**6/30 + d**5/15 - 11*d**4/2 + 42*d**3 + 836*d**2. Determine f so that o(f) = 0.
-7, 3
Let x(j) be the first derivative of -j**5/3 - 5*j**4/12 + 35*j**3/9 + 5*j**2/6 - 10*j - 49. Find s such that x(s) = 0.
-3, -1, 1, 2
Suppose -19 - 1037*j**4 - 13 + 1035*j**4 + 16*j**2 = 0. Calculate j.
-2, 2
Suppose 11*q = 15*q + 68. Let c = -15 - q. Factor 3/5*g**c + 6/5*g - 9/5.
3*(g - 1)*(g + 3)/5
Let c(g) = -g**2 - g + 345. Let k be c(18). Factor 3/4*l**2 + 0 - 1/4*l**k - 1/2*l.
-l*(l - 2)*(l - 1)/4
Let k(p) be the third derivative of -7*p**6/30 + 2*p**5/3 + 4*p**4/3 + p**2 - 275*p. Factor k(f).
-4*f*(f - 2)*(7*f + 4)
Let i be 234/42 - (-4)/(-7). Suppose -3 = -3*f + 2*c + 1, 7 = f + i*c. Factor 2/5 - 4/5*h + 2/5*h**f.
2*(h - 1)**2/5
Suppose -3*l + 59 = -o, 2*l - 2*o = -4*o + 34. Factor -17*x**3 + 11*x + 14*x**2 - 32 + 5*x + l*x**3.
2*(x - 1)*(x + 4)**2
Let -3/7*v**5 - 165/7*v**2 + 3*v**4 + 9/7*v**3 - 150/7*v + 0 = 0. What is v?
-2, -1, 0, 5
Find f, given that -4*f**3 - 10*f**2 + 0*f**2 + f**3 - 2*f**3 = 0.
-2, 0
Let o(g) = 5*g**2 - 6*g - 7. Let s = 37 + -17. Suppose -p = -6*p + s. Let w(l) = l**2 - l - 1. Let n(a) = p*w(a) - o(a). Determine y so that n(y) = 0.
-1, 3
Let m(o) be the second derivative of o**4/132 - o**3/6 + 5*o + 2. What is b in m(b) = 0?
0, 11
Suppose 0 = 13*q + 14 - 66. Let x be -2 + 2 + (q - 4) + 2. Factor 0 + 4/9*a + 2/9*a**x.
2*a*(a + 2)/9
Let l = 75/68 + -89/204. Find w, given that -2/3*w**4 - 2/9*w**5 + 4/9*w**2 + l*w + 2/9 - 4/9*w**3 = 0.
-1, 1
Let m(l) be the second derivative of l**8/4200 - l**6/450 + l**4/60 + 2*l**3/3 - 12*l. Let d(n) be the second derivative of m(n). Find i, given that d(i) = 0.
-1, 1
Let 36/5*l**2 + 24/5 - 54/5*l - 6/5*l**3 = 0. What is l?
1, 4
Let i(o) be the second derivative of -1/4*o**5 + 0 - 20*o**2 + 6*o - 5/2*o**4 - 10*o**3. Let i(w) = 0. What is w?
-2
Let i be 56/(-252)*3*(-6)/10. Suppose 0 - 2/5*p - i*p**2 = 0. Calculate p.
-1, 0
Let l(y) be the second derivative of 8*y + 0*y**2 + 1/100*y**5 + 0*y**4 - 1/30*y**3 + 0. Determine b, given that l(b) = 0.
-1, 0, 1
Let j(a) be the first derivative of -2*a**5/5 + 7*a**4/6 + 4*a**3/3 - 94. Factor j(u).
-2*u**2*(u - 3)*(3*u + 2)/3
Let j(d) be the third derivative of 3*d**7/5 + 607*d**6/180 + 247*d**5/45 + 17*d**4/9 - 8*d**3/9 + 67*d**2. Suppose j(v) = 0. Calculate v.
-2, -1, -2/7, 2/27
Let w = 72 - 214/3. Suppose -3*u + 324 - 1002 = -229*u. Find h such that -3*h**u - w*h + 0 + 11/3*h**2 = 0.
0, 2/9, 1
Suppose 10 = -5*f, -3*b = 32*f - 37*f - 22. What is p in -12/5*p**2 - 3/5*p**5 - 3/5*p + 0 - 12/5*p**b - 18/5*p**3 = 0?
-1, 0
Solve 55/6*h**2 - 25/3 - 15/2*h - 5/6*h**4 + 15/2*h**3 = 0 for h.
-1, 1, 10
Let l(g) be the first derivative of 2/27*g**3 + 4 + 2/9*g**2 + 0*g - 1/18*g**4. Factor l(q).
-2*q*(q - 2)*(q + 1)/9
Let q(r) be the third derivative of -r**7/42 - 7*r**6/24 - r**5 + 5*r**4/6 + 40*r**3/3 - 2*r**2 - 9*r. Suppose q(p) = 0. What is p?
-4, -2, 1
Let z(o) be the third derivative of -o**8/3360 - o**7/1260 - 5*o**4/24 + 18*o**2. Let d(x) be the second derivative of z(x). Factor d(q).
-2*q**2*(q + 1)
Let x(n) = -n**4 - n**2. Let o(y) = 9*y**4 + 35*y**3 + 94*y**2 + 100*y + 40. Let z(m) = o(m) + 4*x(m). Factor z(d).
5*(d + 1)*(d + 2)**3
Factor -93/8*h + 0 + 3/8*h**2.
3*h*(h - 31)/8
Let k be 28/7*((-14)/20)/(-7). Determine m so that -4/5*m - k*m**3 - 6/5*m**2 + 0 = 0.
-2, -1, 0
Let -39*p + 3/4*p**2 - 159/4 = 0. Calculate p.
-1, 53
Let n(d) = -5*d**3 + 7*d**2 - 7*d + 5. Let p(w) = w**2 - 1. Let x(y) = -19*y + 1. Let u be x(-1). Let l(s) = u*p(s) + 5*n(s). What is o in l(o) = 0?
1/5, 1
Factor g**2 - 14*g + 14 + 54 - 28.
(g - 10)*(g - 4)
Let v(m) be the second derivative of 0*m**2 + 0*m**3 - 1/40*m**6 + 0 - m - 3/16*m**4 - 3/20*m**5. Factor v(x).
-3*x**2*(x + 1)*(x + 3)/4
Suppose 0 = 4*b + 3*n + 3, -n = 4*b + 3*n + 8. Let q be b/(-5)*90/(-12). Factor -8*o**2 + q*o**3 - 2*o + 0.
o*(o - 2)*(9*o + 2)/2
Suppose -2*k - 4 = 2. Let f(x) = x**3 + 2*x**2 - 4*x - 1. Let r be f(k). Determine b so that -2*b**r - 6*b**3 - 6*b + 1 + 22*b - 9 = 0.
-2, 2/3, 1
Let d = 5225/2 - 2606. Determine p, given that 2 + 6*p + 3*p**3 + d*p**2 + 1/2*p**4 = 0.
-2, -1
Let w(o) be the first derivative of o**6/480 + o**5/16 + 25*o**4/32 - 17*o**3/3 - 18. Let u(i) be the third derivative of w(i). Let u(j) = 0. Calculate j.
-5
Let p(g) be the first derivative of -1/9*g**3 - 4*g**2 + 0*g**4 + 0*g - 5 + 1/90*g**5. Let a(j) be the second derivative of p(j). Let a(h) = 0. What is h?
-1, 1
Let z(y) be the first derivative of -9*y**5/5 + 138*y**4 - 2941*y**3 + 5490*y**2 - 2700*y + 42. Let z(x) = 0. Calculate x.
1/3, 1, 30
Let m = -30 - -26. Let g be 0*1*(-2)/m. What is a in 1/4*a**5 + 1/4*a + g*a**4 + 0 - 1/2*a**3 + 0*a**2 = 0?
-1, 0, 1
Let c(a) be the third derivative of a**4/24 - a**3/6 - 36*a**2. Let x be c(4). Factor -1/5*l**2 - 3/5 + 1/5*l**x - l.
(l - 3)*(l + 1)**2/5
Factor -4/3*b**2 - 104/3*b - 676/3.
-4*(b + 13)**2/3
Let m = -321 - -323. Let k(x) be the third derivative of 1/210*x**7 + 0 - 1/120*x**6 + 0*x - m*x**2 + 0*x**5 + 0*x**4 + 0*x**3. Let k(y) = 0. What is y?
0, 1
Let v(h) be the first derivative of -h**5/120 - 7*h**4/48 - 7*h**2/2 - 19. Let y(q) be the second derivative of v(q). Factor y(l).
-l*(l + 7)/2
Let v(n) = n**2 - 3*n - 1. Let u(i) = 2*i**3 + 9*i**2 - 6*i - 1. Let r be u(-5). Let k be v(r). Suppose k*z**5 + 2*z**4 - 14 - 2*z**5 + 14 = 0. What is z?
-2, 0
Let -4456 + 4320 + 14181 + 5*w**2 + 530*w = 0. What is w?
-53
Let s(f) be the third derivative of f**5/15 - 13*f**4/3 + 338*f**3/3 - f**2 - 21*f. Factor s(u).
4*(u - 13)**2
Let i(g) be the first derivative of -g**6/1980 + g**5/165 - g**4/33 - g**3/3 + 2. Let a(f) be the third derivative of i(f). Factor a(v).
-2*(v - 2)**2/11
Let x(w) be the first derivative of -w**5/5 - 11*w**4/4 - 43*w**3/3 - 69*w**2/2 - 36*w - 185. What is a in x(a) = 0?
-4, -3, -1
Let l be (2 - -9) + (1 - 3). Factor 14*c - 8*c - l*c**2 - 3*c.
-3*c*(3*c - 1)
Let y be (0 + -1)/(2/(-4)). Factor 5*u - 2*u**2 - 3*u + 4*u**y.
2*u*(u + 1)
Let s = -1958 - -19551/10. Let u = 17/5 + s. Factor u*v**4 + 0*v + 0*v**2 + 1/2*v**3 + 