2 + 0.
-t*(t + 5)**2*(5*t + 2)/4
Let k = 1460 + -1460. Let i(c) be the third derivative of -10*c**2 + k*c + 0 + 1/15*c**5 - 5/3*c**4 + 50/3*c**3. Determine a so that i(a) = 0.
5
Let z = -342879 - -342881. Suppose 30*b - 55/2 - 5/2*b**z = 0. What is b?
1, 11
Find z, given that -1111/3*z - 5/6*z**2 - 148 = 0.
-444, -2/5
Factor -1/3*t**2 + 0 + 889/3*t.
-t*(t - 889)/3
Suppose -1/7*f**2 - 103/7*f + 104/7 = 0. Calculate f.
-104, 1
Determine h, given that -22/7*h + 48/7 + 2/7*h**2 = 0.
3, 8
Solve 64074/5*a + 16/5*a**4 + 34177/5*a**2 + 1448/5*a**3 + 31329/5 = 0.
-177/4, -1
Let l(z) be the first derivative of -3/4*z**4 - 3 - 21*z**2 - 9*z**3 + 0*z. Factor l(r).
-3*r*(r + 2)*(r + 7)
Let r be 0/(-3) + 1 + 0 - -12. Suppose 2*d = -6, -10*d = 5*b - r*d - 29. Find t, given that 0 - 12/5*t**3 + 6/5*t**2 + 12/5*t - 6/5*t**b = 0.
-2, -1, 0, 1
Find s, given that -29/3*s - 5/3*s**2 - 8 = 0.
-24/5, -1
Let r be (-8)/10*47955/(-46) - 2. Let w = r - 828. Determine l so that 4/3 - w*l**2 - 8/3*l = 0.
-1, 1/3
Let m(x) be the first derivative of -2*x**4/33 - 13*x**3/33 + 42*x**2/11 + 84*x - 84. Let n(y) be the first derivative of m(y). Find i, given that n(i) = 0.
-21/4, 2
Let o(r) be the first derivative of -r**5/60 - r**4/4 - 3*r**3/2 + 6*r**2 + 124. Let s(z) be the second derivative of o(z). Let s(k) = 0. What is k?
-3
Let a be (36*18/243)/(76/152). Factor -2/3*k**3 + a + 2/3*k**4 + 8/3*k - 4*k**2.
2*(k - 2)**2*(k + 1)*(k + 2)/3
Suppose 2 = f - 8. Let g(o) = 8*o**2 - 8*o + 4. Let m(z) = -10 + 10 + 1175*z**2 - 1176*z**2. Let r(h) = f*m(h) + 2*g(h). Factor r(c).
2*(c - 2)*(3*c - 2)
Suppose 0 = -25*i + 70 + 55. Factor 4*y**3 - 108 + i*y**2 - 564*y + 7*y**2 + 528*y.
4*(y - 3)*(y + 3)**2
Suppose -p - 1740 = -2*w, -16*p - 4350 = -5*w - 19*p. What is j in w*j**2 + 0*j - 48*j - 112 - 866*j**2 = 0?
-2, 14
Let x(j) = j**2 + 83*j + 244. Let g be x(-80). Let w(n) be the second derivative of -3/4*n**2 + 0 - 1/3*n**3 - 1/24*n**g + 5*n. Factor w(m).
-(m + 1)*(m + 3)/2
Let q(r) be the first derivative of -8*r**4/15 + 16*r**3/45 + 93*r**2/5 + 54*r - 3632. Determine p, given that q(p) = 0.
-9/4, 5
Let u(s) = -2*s**4 - 2*s**3 + 14*s**2 - 6*s + 8. Let w(z) = -3*z**4 - 6*z**3 + 13*z**2 - 4*z + 15. Let f(t) = 5*u(t) - 4*w(t). Let f(h) = 0. What is h?
-5, -2, -1, 1
Let j(s) be the second derivative of -s**8/84 - 4*s**7/105 - s**6/90 + s**5/15 - 37*s**3/6 + s + 5. Let v(a) be the second derivative of j(a). Factor v(t).
-4*t*(t + 1)**2*(5*t - 2)
Let o(x) be the third derivative of -x**4/8 + x**3/6 + 9*x**2. Let q be o(-6). Solve 3*v**4 - q*v**2 - v + v + 16*v**2 = 0.
-1, 0, 1
Let s(i) be the third derivative of -i**6/180 + i**5/15 + 5*i**4/12 + 8*i**3/9 + 2*i**2 + 42. Factor s(d).
-2*(d - 8)*(d + 1)**2/3
Suppose -107*l + 388 = -10*l. Let d be 44/(-77) - (-1 + 9/(-21)). Let -10/7*g**3 - 6/7*g + d*g**l - 22/7*g**2 + 0 = 0. What is g?
-1, -1/3, 0, 3
Let s(x) = 13*x + 15*x - 117 + 2*x. Let r be s(4). Factor 96/5*w + 9/5*w**r + 96/5 - 66/5*w**2.
3*(w - 4)**2*(3*w + 2)/5
Let z(g) be the first derivative of 1/3*g**2 + 208 + 0*g + 8/9*g**3. Suppose z(t) = 0. What is t?
-1/4, 0
Let c be (-2 - 127)*14/21. Let y = c + 102. Solve 21 - 5 - 10*u**3 + 10*u**4 - y - 10*u**2 + 12*u - 2*u**5 = 0 for u.
-1, 0, 1, 2, 3
Find l, given that -11*l**5 + 201*l**4 + 51*l**5 - 4*l**5 - 39*l**5 = 0.
0, 67
Let i = 145464/35 + -4156. Let x(w) be the first derivative of 1/7*w**4 - 2/21*w**6 + 0*w**2 - 13 + i*w**5 - 4/21*w**3 + 0*w. Factor x(r).
-4*r**2*(r - 1)**2*(r + 1)/7
Let v be (-1030)/618 - (-5)/3. Let c(m) be the second derivative of v*m**2 + 0*m**3 + 2*m + 1/66*m**4 + 0. Let c(u) = 0. What is u?
0
Let a(t) be the third derivative of 5*t**3 - 1/90*t**6 + 11/30*t**5 + 2*t**4 + 0 + 0*t + 5*t**2. Let l(v) be the first derivative of a(v). Factor l(q).
-4*(q - 12)*(q + 1)
Determine x so that 24/7*x + 44/7*x**2 - 4/7*x**4 + 16/7*x**3 + 0 = 0.
-1, 0, 6
Let l(f) be the third derivative of 107*f**2 + 0 + 0*f**3 - 23/42*f**4 - 1/105*f**5 + 0*f. Determine a so that l(a) = 0.
-23, 0
Let z(h) be the third derivative of 0*h**4 - 1/24*h**3 + 5*h**2 + 0*h - 11 + 1/240*h**5. Let z(m) = 0. Calculate m.
-1, 1
Let j be (468/(-1521))/(18/(-13)). Suppose -27*l = -8*l. Suppose l*o + 8/9 - j*o**2 = 0. What is o?
-2, 2
Suppose -v = -2*n + 1, 96*n - 98*n + 4*v = -4. Let t(x) be the first derivative of 0*x**5 + 13 + 1/8*x**6 + 0*x**3 + 3/8*x**2 + n*x - 3/8*x**4. Factor t(c).
3*c*(c - 1)**2*(c + 1)**2/4
Let v = 10637/465 - 705/31. Let c(z) be the first derivative of -1/15*z**6 + 0*z**2 - v*z**3 + 0*z + 1/10*z**4 + 2/25*z**5 - 16. Let c(k) = 0. What is k?
-1, 0, 1
Factor 2/5*u**2 + 116/5*u + 114/5.
2*(u + 1)*(u + 57)/5
Factor -115*t**3 - 657 - 663 + 644*t + 70*t**2 + 23*t + 273*t + 5*t**4.
5*(t - 22)*(t - 2)**2*(t + 3)
Let k(p) = 3*p**3 - 65*p**2 - 85*p - 154. Let t be k(23). Factor -23/2*b + 1/2*b**4 + 7/2*b**3 - t - 3/2*b**2.
(b - 2)*(b + 1)**2*(b + 7)/2
Let n be (-2)/(1134/(-657)) - 4/(-14). Let b(q) be the first derivative of -q**2 - n*q**3 + 0*q + 14 + 5/12*q**4. Factor b(w).
w*(w - 3)*(5*w + 2)/3
Let s(m) be the second derivative of m**5/35 - 181*m**4/21 + 718*m**3/21 - 358*m**2/7 + 507*m + 3. Factor s(x).
4*(x - 179)*(x - 1)**2/7
Let i(a) be the third derivative of a**5/450 + 8*a**4/45 - 11*a**3/15 - 2*a**2 - 730*a. Factor i(z).
2*(z - 1)*(z + 33)/15
Let p(k) = 0*k + 3*k + 0*k - k + 3. Let o be p(1). Solve -o*q**2 + 6*q**2 + q**3 + 0*q**2 - 3*q**2 + q**4 = 0 for q.
-2, 0, 1
Let l be ((-4750)/1140)/((-20)/8). Find o such that 1/3*o**5 - l*o**4 + 0*o + 8/3*o**3 + 0 - 4/3*o**2 = 0.
0, 1, 2
Let z(k) be the first derivative of k**4/36 - 76*k**3/27 + 640*k**2/9 + 6400*k/9 - 2464. Let z(x) = 0. What is x?
-4, 40
Let d(y) be the second derivative of -y**7/1260 + 31*y**6/360 - y**4/6 + 21*y**3 - 252*y. Let w(t) be the third derivative of d(t). Factor w(p).
-2*p*(p - 31)
Factor 9*j**4 - 346*j + 265*j + 81*j - 473*j**3 + 1128*j**2 - 2914*j**3.
3*j**2*(j - 376)*(3*j - 1)
Suppose -80*z + 76*z = -16. Let w be z/(-52)*7 + 1/1. Factor w*i + 0*i**2 - 2/13*i**3 + 4/13.
-2*(i - 2)*(i + 1)**2/13
Solve 2315470 - 3*w**2 + 447*w + 2315466 - 4630936 = 0 for w.
0, 149
Let 118/5*l - 2/5*l**2 - 108 = 0. What is l?
5, 54
Let r be 4/3*(-24 - (-1332)/48). Let f(p) be the second derivative of 0 - 1/90*p**r + 0*p**2 + 8*p + 0*p**3 - 1/27*p**4. Let f(c) = 0. Calculate c.
-2, 0
Let d be 0*(2/(-12) - 111/333). Let x(p) be the third derivative of 0*p - 1/10*p**5 + 0 + d*p**3 - 12*p**2 - 5/16*p**4 + 1/80*p**6. Find y, given that x(y) = 0.
-1, 0, 5
Let j(r) be the third derivative of 3*r**8/392 + 37*r**7/105 + 37*r**6/84 - 3*r**5/2 - 97*r**4/42 + 8*r**3/3 - 4*r**2 + 2*r. Suppose j(m) = 0. What is m?
-28, -1, 2/9, 1
Let q(d) be the third derivative of -d**6/30 - 34*d**5/15 - 62*d**4/3 - 80*d**3 + 3*d**2. What is u in q(u) = 0?
-30, -2
Let i(m) be the third derivative of -2*m**2 - 1/8*m**6 + 0*m - 26 - 5/4*m**4 + 0*m**3 + 11/12*m**5. Let i(l) = 0. What is l?
0, 2/3, 3
Let m(v) = -v**3 - 12*v**2 + v + 134. Let y be m(-11). Let f(i) be the second derivative of -2/15*i**3 + 0 + 1/3*i**4 - 21/100*i**5 + 7*i + 0*i**y. Factor f(x).
-x*(3*x - 2)*(7*x - 2)/5
Let y be 114/14 + 41/(-287). Factor -y*n**3 - 16*n - 12*n + 28*n**2 + 15 - 7.
-4*(n - 2)*(n - 1)*(2*n - 1)
Factor 0 + 1/4*f**3 + 39/2*f**2 + 1521/4*f.
f*(f + 39)**2/4
Suppose 0 = 10*f - 20. Factor -30*b**f - 195*b**4 - b**3 + 175*b**4 - 44*b**3 - 5*b.
-5*b*(b + 1)**2*(4*b + 1)
Let x be (15/(-270)*6)/((-6)/45). Determine b so that 9245/2 + x*b**2 + 215*b = 0.
-43
Suppose -7*o = -8*o + 2, 3*l - 367 = o. Suppose -125*x**2 - 152*x - 2734 + l*x**2 - 154 = 0. Calculate x.
-38
Let y(k) be the first derivative of -k**3/33 - 463*k**2/11 - 214369*k/11 + 134. Factor y(a).
-(a + 463)**2/11
Let v = 114 - 45. Let n be (-6 + 5)*42/(-2). Factor 81*a**3 - v*a**4 + 6*a - 28*a**2 + 2 - 2 - 11*a**2 + n*a**5.
3*a*(a - 1)**3*(7*a - 2)
Let t(f) = -62*f**3 - 7*f - 18. Let l be t(-2). Let d = 497 - l. Suppose 6/11*z**4 + 2/11*z**d + 4/11*z**3 + 0*z**2 + 0 + 0*z = 0. What is z?
-2, -1, 0
Let l(i) = 35*i**3 + 85*i**2 - 650*i + 520. Let g(f) = -51*f**3 - 128*f**2 + 972*f - 779. Let d(v) = 5*g(v) + 7*l(v). Factor d(k).
-5*(k - 3)*(k - 1)*(2*k + 17)
Let u = -85938 - -85940. Factor 2/3 - z + 1/3*z**u.
(z - 2)*(z - 1)/3
Let -28306*z - 12825*z**2 - 142884 - 1