c + 3*c + 5 - 3. Let v(a) = -21*a**2 - 6*a - 11. Let d(l) = -11*h(l) - 2*v(l). Determine m, given that d(m) = 0.
0, 1/2
Let p(z) be the second derivative of -1/3*z**3 + 0 + 7/30*z**6 - 12*z - 7/12*z**4 + 1/10*z**5 + 0*z**2. Factor p(t).
t*(t - 1)*(t + 1)*(7*t + 2)
Factor 1326*h + 4*h**2 - 694*h + 120 + 0*h**2 - 676*h.
4*(h - 6)*(h - 5)
Suppose 8*j - 32 = -0*j. Factor n**j - 19*n**4 + 3*n**5 + 27*n**3 + 50 - 50.
3*n**3*(n - 3)**2
Let l = -161/4 - -163/4. What is k in 3/4*k**2 + 0*k**3 - 1/4*k**4 + 0 - l*k = 0?
-2, 0, 1
Let h be (0 + (13 - -2))*2/6. Factor -l**3 + 0*l**3 - 5*l**2 + l + h*l**2.
-l*(l - 1)*(l + 1)
Factor 3/10*g**2 - 1/10*g**3 + 1/2 + 9/10*g.
-(g - 5)*(g + 1)**2/10
Suppose 0 = 5*u + 2*d - 2 - 4, 3*u = -d + 4. Suppose -l + u*i = 8, -4*l = -5*i + 6 + 11. Find g such that -1/6 + 1/6*g**3 - 1/2*g**l + 1/2*g = 0.
1
Let c(l) be the first derivative of -3*l**4/20 - 6*l**3/5 - 3*l**2/2 + 47. Factor c(a).
-3*a*(a + 1)*(a + 5)/5
Let c be 25/9 + 22/99. Factor -52*q**2 - q**c + 26*q**2 + 4 + 32*q**2 - 9*q.
-(q - 4)*(q - 1)**2
Factor l**2 + 0*l + 1/3*l**3 - 4/3.
(l - 1)*(l + 2)**2/3
Let i(l) be the third derivative of l**10/30240 - l**8/3360 + l**6/720 - l**4/3 - 17*l**2. Let k(o) be the second derivative of i(o). Factor k(v).
v*(v - 1)**2*(v + 1)**2
Let w(s) be the second derivative of 3*s**5/20 + 11*s**4/4 + 16*s**3 + 42*s**2 - 385*s - 1. Factor w(z).
3*(z + 2)**2*(z + 7)
Determine k, given that 2519*k**2 + 74*k - 2*k**3 - 12*k - 2491*k**2 + 32 = 0.
-1, 16
Factor -36/5 - 1/5*i**2 - 12/5*i.
-(i + 6)**2/5
Let a be 4/2 - 893/470. Let v(b) be the second derivative of 1/20*b**4 - 1/100*b**5 - a*b**3 - 9*b + 1/10*b**2 + 0. Factor v(x).
-(x - 1)**3/5
Determine r so that -3/5*r**4 + 108/5 + 39/5*r**2 - 9/5*r**3 + 153/5*r = 0.
-3, -1, 4
Suppose -19 = -3*p + 5*r, 2 = -4*p - 5*r + 4. Factor 5*k**5 + 11*k**2 - 5*k**3 + 0*k**p - 10*k**4 - k**2.
5*k**2*(k - 2)*(k - 1)*(k + 1)
Let n(y) be the second derivative of 1/120*y**5 + 16*y - 1/12*y**4 - 2/3*y**2 + 0 + 1/3*y**3. What is g in n(g) = 0?
2
Let u be -4 - ((-86)/2 + -3). Let x be (u/70)/((-3)/(-2)). What is v in 2/5*v**2 - x*v + 0 = 0?
0, 1
Let o be (-63)/108 - 24/(-18). Let x(d) be the first derivative of 0*d + 3 + 0*d**2 + 2*d**3 + o*d**4. Factor x(h).
3*h**2*(h + 2)
Let t(c) = -c**3 + 6*c**2 + 63*c - 390. Let x be t(7). Find a, given that -36/5 + 2/5*a**3 - 6/5*a + 8/5*a**x = 0.
-3, 2
Suppose 0 = -2*r + 3 + 7. Let x(z) = -2*z**3 + 35*z**2 - 3*z. Let y(k) = 5*k**3 - 70*k**2 + 5*k. Let t(h) = r*x(h) + 3*y(h). Factor t(s).
5*s**2*(s - 7)
Suppose 2*k = y - 2*k + 12, k = 4*y + 3. Determine w, given that -8/7*w**2 + y - 4/7*w**3 - 4/7*w = 0.
-1, 0
Let c(z) = 4*z**3 - 8*z**2 - 3*z - 2. Let y(s) = -s**3 - s - 1. Let k(o) = -c(o) - 5*y(o). Let g be k(-7). Solve -1/3*a + g - 1/3*a**2 = 0 for a.
-1, 0
Let 13*q + 6*q - 54*q - 60 - q - 3*q**2 = 0. What is q?
-10, -2
Let z(i) be the second derivative of -i**6/60 + i**5/40 + i**4/4 - i**3/3 - 2*i**2 + 99*i. Factor z(k).
-(k - 2)**2*(k + 1)*(k + 2)/2
Suppose -4*i + 18 = 3*b, -4*i + 9*i = -b + 17. Let x(r) be the first derivative of 0*r**b - 2/5*r**5 + 0*r**4 - 6 - 2*r + 4/3*r**3. Factor x(q).
-2*(q - 1)**2*(q + 1)**2
Let r(k) be the first derivative of -3*k**4/4 + 22*k**3 - 144*k**2 - 864*k - 53. Factor r(y).
-3*(y - 12)**2*(y + 2)
Let o = -158 - -1265/8. Let c(z) be the third derivative of 0 + 0*z - 5*z**2 + 1/40*z**6 - o*z**4 + 1/10*z**5 - z**3. Suppose c(b) = 0. Calculate b.
-2, -1, 1
Let v(w) be the second derivative of -w**4/102 + 2*w**3/17 + 72*w**2/17 - 383*w - 1. Factor v(j).
-2*(j - 12)*(j + 6)/17
Let l(g) be the second derivative of -25*g**7/84 - g**6/2 - 21*g**5/160 - g**4/96 + g - 44. Factor l(k).
-k**2*(k + 1)*(10*k + 1)**2/8
Suppose -14*o + 21*o - 21 = 0. Determine s so that -11*s**4 - 11*s**4 - 7*s**4 - o*s**5 - 102*s**2 - 78*s**3 - 63*s + 2*s**4 - 15 = 0.
-5, -1
Suppose -5*r + 4 = -11. Suppose 6*i = i - 5*p + 35, -7 = -4*i + r*p. Let -i - 49/2*h**3 + 2*h + 49*h**2 = 0. What is h?
-2/7, 2/7, 2
Let r be -9 + 1*(9 - -3). Let 0*o + 1/4*o**2 - 1/8*o**r + 0 = 0. What is o?
0, 2
Let k = 1/212 - -421/636. Let v(q) be the second derivative of 0*q**2 - 2*q + 1/3*q**4 + k*q**3 + 0. Suppose v(f) = 0. What is f?
-1, 0
Let i(o) = -o**2 - 62*o - 557. Let r be i(-11). Find z, given that 0*z + 0 - 9/4*z**r - 1/4*z**2 + 3/2*z**3 = 0.
0, 1/3
Let n(g) = 3*g**3 - g**2 - 5*g. Let q(i) = -3*i**3 + 6*i. Suppose 8*k + 18 = 11*k. Let c(s) = k*n(s) + 5*q(s). Suppose c(u) = 0. Calculate u.
0, 2
Suppose 3*y = -5*b + 19, -3*y = -4*b - y + 24. Suppose 0*m + 3*m + 5*c - 1 = 0, -m + 7 = -b*c. Factor 1/4*p**m + 1 - p.
(p - 2)**2/4
Let s = -2132 - -2134. Determine d, given that 2/5*d**s - 2/5*d**4 + 0*d - 3/5*d**3 + 0 + 3/5*d**5 = 0.
-1, 0, 2/3, 1
Let j(b) be the second derivative of 8*b**6/15 - 4*b**5 - 67*b**4/3 + 160*b**3/3 - 42*b**2 + 149*b. Factor j(o).
4*(o - 7)*(o + 3)*(2*o - 1)**2
Suppose 3*s = 4*s + 6. Let p be s/4*(-32)/24. Find c, given that c**3 + 0 + 2/3*c**p + 0*c + 1/3*c**4 = 0.
-2, -1, 0
Let z(p) be the first derivative of 2*p**3/21 + p**2/7 - 4*p/7 + 26. Find f such that z(f) = 0.
-2, 1
Let a be (-64)/(-1008)*(32/56 + 110/28). Let a*j**2 + 6/7*j**3 + 2/7*j**4 - 6/7*j - 4/7 = 0. Calculate j.
-2, -1, 1
Factor -2/5 + 2/5*k**2 + 0*k.
2*(k - 1)*(k + 1)/5
Let a(g) be the second derivative of -2*g**7/21 + 2*g**6/3 + 14*g**5/5 + 2*g**4/3 - 26*g**3/3 - 14*g**2 + 2*g - 27. Determine y so that a(y) = 0.
-1, 1, 7
Suppose 2*b + 3*i - 16 = 0, -3*b - 3*i - 4 = -25. Suppose 2*v**3 + 0*v**3 - 10*v**2 - 4*v**3 - b*v - 3*v**3 = 0. What is v?
-1, 0
Let o(k) be the third derivative of -k**5/90 - 35*k**4/9 - 4900*k**3/9 + 2*k**2 - 345. Determine x so that o(x) = 0.
-70
Let l(x) be the first derivative of 3/7*x**4 - 1/7*x + 3/7*x**2 - 13/21*x**3 - 15 - 4/35*x**5. Suppose l(j) = 0. Calculate j.
1/2, 1
Suppose g - 25 = 5*y, -5*y + 3*y = 8. Factor 4*v**3 - 7 + 9*v**2 - 2*v**5 - g*v**2 + 5 - 2*v - 2*v**4.
-2*(v - 1)**2*(v + 1)**3
Let b = 29 - 27. Factor 2*n - 5*n + 4*n**2 + 0*n**3 + n - b*n**3.
-2*n*(n - 1)**2
Let r = -78 + 129. Suppose -18*q = -q - r. Let 0 - 2/3*s**2 - 2/9*s**q - 4/9*s = 0. What is s?
-2, -1, 0
Let s(y) be the third derivative of 25/33*y**3 - 5/66*y**4 + 0 + 0*y + 1/330*y**5 - 4*y**2. Factor s(z).
2*(z - 5)**2/11
Let h(j) be the first derivative of j**3/6 + j**2 + 3*j/2 - 330. Find l such that h(l) = 0.
-3, -1
Let g be ((-1)/(-3))/1 + (-320)/(-48). Let t(b) be the third derivative of 0 + g*b**2 + 1/2*b**3 + 0*b + 7/4*b**4 + 49/20*b**5. Solve t(m) = 0.
-1/7
Let z(t) be the first derivative of 0*t + 2/5*t**5 - 4/3*t**4 + 30 + 2/3*t**2 + 2/3*t**3. Find q such that z(q) = 0.
-1/3, 0, 1, 2
Let w(c) = c**2 + 9*c - 7. Let h be w(-10). Factor 2*k**2 - 8*k**3 + 0*k**5 - h*k**3 + 8*k**3 + k**5.
k**2*(k - 1)**2*(k + 2)
Let s(t) be the third derivative of 5*t**8/336 + 5*t**7/21 + 13*t**6/8 + 37*t**5/6 + 85*t**4/6 + 20*t**3 - 112*t**2. Factor s(h).
5*(h + 1)*(h + 2)**3*(h + 3)
Let j(l) be the first derivative of -20/7*l**2 + 100/7*l + 4/21*l**3 + 12. Solve j(d) = 0.
5
Let 224/3*w - 4/3*w**2 - 3136/3 = 0. Calculate w.
28
Let d(k) = 9*k - 465. Let a be d(52). Factor 2 + 3*v + 3/2*v**2 + 1/4*v**a.
(v + 2)**3/4
Let k(l) be the first derivative of 2*l - 1/4*l**4 + 5/2*l**2 - 1/5*l**5 - 8 + l**3. Find h, given that k(h) = 0.
-1, 2
Let f be 4/(-9) + 3952/144 + -27. Factor f - 3/5*a - 9/5*a**3 - 9/5*a**2 - 3/5*a**4.
-3*a*(a + 1)**3/5
Let c(g) be the second derivative of -g**4/24 - 92*g**3/3 - 8464*g**2 + 200*g - 2. Factor c(v).
-(v + 184)**2/2
Let h = 188 - 136. Let a = h - 52. Factor 4/3*i + a + 2/3*i**3 - 2*i**2.
2*i*(i - 2)*(i - 1)/3
Find y such that -4/3*y**2 + 0 + 4/3*y**3 - 4/9*y**4 + 4/9*y = 0.
0, 1
Let i(f) be the first derivative of -f**4 + 224*f**3/3 - 1450*f**2 - 6728*f + 468. What is y in i(y) = 0?
-2, 29
Let k(q) be the third derivative of q**5/6 + 38*q**4/3 + 20*q**3 + 173*q**2. Suppose k(m) = 0. Calculate m.
-30, -2/5
Let m(k) be the first derivative of -k**6/2520 - k**5/210 - k**4/56 + 8*k**3/3 + 18. Let f(q) be the third derivative of m(q). Suppose f(u) = 0. What is u?
-3, -1
Let q(o) = o**3 - 2*o**2 - o - 1. Let g(u) = -76*u**3 - 217*u**2 + 99*u - 17. Let z(s) = -g(s) + 5*q(s). Solve z(l) = 0.
-3, 2/9
Let m(c) = 2*c**4 - 2*c**3 + 5*c**2 - 5*c + 13. Let o(s) = -s**4 + s**3 - 2