 Find x, given that -25/6 - 5/3*x - 1/6*x**w = 0.
-5
Let m(p) be the first derivative of 0*p**4 + 2/15*p**3 + 0*p - 3 - 2/25*p**5 + 0*p**2. Solve m(o) = 0 for o.
-1, 0, 1
Solve -9*a**3 + 54*a - a**5 + 5*a**2 - 7*a**4 - 24*a**2 + 46*a**2 = 0.
-3, 0, 2
Let t(c) be the first derivative of -c**4/48 - 13*c**3/36 - c**2/2 - 599. Determine f, given that t(f) = 0.
-12, -1, 0
Suppose -994*w**3 + 28*w**4 - 879*w**3 + 2201*w**3 - 432 + 1152*w + 1164*w**2 = 0. Calculate w.
-6, -3, 2/7
Let u(c) = -6*c**2 - 144*c + 3. Let t be u(-24). Let -10/7*i**2 - 4/7*i - 2*i**5 + 0 + 10/7*i**4 + 18/7*i**t = 0. What is i?
-1, -2/7, 0, 1
Let i(a) be the second derivative of -a**5/5 - 11*a**4/3 - 80*a**3/3 - 96*a**2 - 118*a. Find r, given that i(r) = 0.
-4, -3
Let x(f) = -2*f - 18. Let p be x(-8). Let a(z) = -3*z**2 - z - 7. Let t(i) = i**2 + 2. Let w(l) = p*a(l) - 7*t(l). Determine r so that w(r) = 0.
0, 2
Let 121/3*k**2 + 220/3*k + 100/3 = 0. What is k?
-10/11
Let v(k) be the third derivative of -5*k**8/112 + 13*k**7/70 - k**6/10 - k**5/5 - 158*k**2. Suppose v(f) = 0. Calculate f.
-2/5, 0, 1, 2
Let t(l) be the second derivative of -l**4/60 - l**3/5 - 4*l**2/5 - 243*l. Solve t(q) = 0.
-4, -2
Let f(r) = -26*r**3 + 95*r**2 - 385*r - 473. Let a(u) = -7*u**3 + 24*u**2 - 96*u - 118. Let y(w) = 22*a(w) - 6*f(w). Find p such that y(p) = 0.
-1, 11
Determine m, given that 215*m**5 - 16 + m**4 - 26*m**4 + 10*m**3 + 50*m**2 - 9 - 5*m - 220*m**5 = 0.
-5, -1, 1
Let f(y) be the second derivative of y**7/30 + 2*y**6/15 + 11*y**5/60 + y**4/12 - 9*y**2/2 + 18*y. Let c(b) be the first derivative of f(b). Factor c(a).
a*(a + 1)**2*(7*a + 2)
Factor -201 - 19*q + 201 - q**2.
-q*(q + 19)
Factor 67*q + 126*q - 59 - 2*q**2 - 32*q - 31*q - 2*q**3 + 509.
-2*(q - 9)*(q + 5)**2
Factor -16/7 - 72/7*w + 4/7*w**2 + 18/7*w**3.
2*(w - 2)*(w + 2)*(9*w + 2)/7
Let n(s) be the second derivative of 0 + 1/2*s**3 + 1/54*s**4 + 1/1620*s**6 + 1/180*s**5 + 4*s + 0*s**2. Let r(a) be the second derivative of n(a). Factor r(w).
2*(w + 1)*(w + 2)/9
Let y(f) be the first derivative of -f**5/100 + f**4/12 - 7*f**3/30 + 3*f**2/10 - 16*f + 15. Let k(s) be the first derivative of y(s). What is b in k(b) = 0?
1, 3
Let g(d) be the second derivative of 7*d**6/180 + d**5/45 - 7*d**2/2 + 9*d. Let y(f) be the first derivative of g(f). Factor y(k).
2*k**2*(7*k + 2)/3
Let h(m) be the second derivative of -2*m**2 + 0 - 7*m - 4/9*m**3 + 1/9*m**4. Solve h(r) = 0 for r.
-1, 3
Let p(l) be the first derivative of l**4/4 - 7*l**3/3 - 15*l**2 + 314. Factor p(w).
w*(w - 10)*(w + 3)
Solve 8*w**4 - 4 + 28*w - 1727*w**5 + 8*w**3 - 32*w**2 + 1723*w**5 - 4 = 0.
-2, 1
Let i(y) = -y**4 + 7*y**2 + 6*y. Let a(z) be the second derivative of -z**6/15 + 13*z**4/12 + 11*z**3/6 + 23*z. Let j(l) = 4*a(l) - 7*i(l). Factor j(b).
-b*(b - 2)*(b + 1)**2
Let b(i) be the second derivative of 1/5*i**6 + 0 + 96*i**2 + 87/20*i**5 - 14*i - 88*i**3 + 81/4*i**4. Suppose b(q) = 0. Calculate q.
-8, 1/2, 1
Find v such that 0*v + 4/7*v**2 + 0 - 188/7*v**4 - 184/7*v**3 = 0.
-1, 0, 1/47
Let s be ((-12)/18)/((-4)/72). Let y be 9/s*(9 + -5). Factor -2*k - 9*k**3 - y*k**2 - 7*k**3 + 15*k**3.
-k*(k + 1)*(k + 2)
Let h(c) be the third derivative of c**6/60 - 29*c**5/30 - c**4/3 + 116*c**3/3 + 3*c**2 + 15. Let h(v) = 0. What is v?
-2, 2, 29
What is w in -3/5*w**2 - 111/5*w - 108/5 = 0?
-36, -1
Suppose -6 = -66*q + 63*q. Let y(f) = -16*f + 35. Let g be y(q). Factor 1 + 1/2*c - 1/2*c**g - c**2.
-(c - 1)*(c + 1)*(c + 2)/2
Suppose 2*x = 0, -3*h = -x + 5*x. Suppose 2*i + 7 = 3*m - 0*m, -2*m - 3*i + 9 = 0. Let -6*q**2 - m*q**3 - q - q**4 + h*q + 3*q**2 = 0. What is q?
-1, 0
Let k(o) = -o**3 + 7*o**2 + 9*o - 6. Let q be k(8). Let m(p) = -p**3 - p**2 + 1. Let w(s) = -3*s**3 - 5*s**2 - 2*s + 1. Let z(t) = q*m(t) - 2*w(t). Factor z(u).
4*u*(u + 1)**2
Let b(l) = -430*l**2 + 460*l - 10. Let w(d) = -d**2 - 3*d. Let a(n) = -b(n) - 5*w(n). Let a(i) = 0. What is i?
2/87, 1
Suppose 0*u + 2 = u. Let p be ((-40)/(-15))/(2/21). Factor 4*m**4 - p*m**u - 13*m**4 - 11*m**3 - 19*m**3 - 8*m.
-m*(m + 2)*(3*m + 2)**2
Let n = -9/7 - -41/21. Let j(t) be the third derivative of -1/60*t**6 + 0*t + 13/36*t**4 + 0 + 2*t**2 + 2/45*t**5 + n*t**3. Factor j(u).
-2*(u - 3)*(u + 1)*(3*u + 2)/3
Let a = 880 + -880. Factor -1/11*j**3 + 0 + 1/11*j**2 + a*j - 1/11*j**4 + 1/11*j**5.
j**2*(j - 1)**2*(j + 1)/11
Let i(k) = -k**4 + k. Suppose -5*c + 5*l - 7 = 18, 0 = -l + 3. Let b(g) = 8*g**4 - 37*g**3 + 31*g**2 + 56*g - 18. Let x(u) = c*i(u) - 2*b(u). Solve x(q) = 0.
-1, 2/7, 3
Suppose -2*o - o = 3*u + 6, 5*u - 2*o - 11 = 0. Suppose -u = -4*n + 15. Suppose 0*m + 7/4*m**n - 1/2*m**2 - 5/4*m**3 + 0 = 0. Calculate m.
-2/7, 0, 1
Suppose -7*v = -32*v + 13*v. Let u(b) be the third derivative of v + 0*b**3 + 1/12*b**4 + 1/60*b**6 + 1/15*b**5 + 3*b**2 + 0*b. Factor u(g).
2*g*(g + 1)**2
Suppose 116*z = -24*z - 16*z. Factor -1/3*v**2 + 0 + 0*v + z*v**3 + 3*v**4.
v**2*(3*v - 1)*(3*v + 1)/3
Solve -2*t**2 + 16/7*t - 2/7*t**3 + 0 = 0.
-8, 0, 1
Let o(q) = -q**3 - 4*q**2 - 10*q + 15. Let i be o(1). Factor i*t + 2/5*t**3 - 6/5*t**2 + 0.
2*t**2*(t - 3)/5
Let z(f) be the third derivative of -f**7/210 - 7*f**6/15 - 98*f**5/5 - 1372*f**4/3 - 19208*f**3/3 - 9*f**2 + 2. Factor z(l).
-(l + 14)**4
Let i(j) = j**2 - 5*j + 16. Let m be i(8). Determine s, given that 45*s**3 + 5*s + m*s**4 + 25*s**2 + 9*s**5 + 9*s**5 - 8*s**5 - 5*s**4 = 0.
-1, -1/2, 0
Let r(g) be the first derivative of 14*g - 1 - g**2 - 14/3*g**3 + 1/2*g**4. Factor r(b).
2*(b - 7)*(b - 1)*(b + 1)
Factor 0*k**2 + 0 + 1/5*k**5 - 7/5*k**4 + 0*k + 0*k**3.
k**4*(k - 7)/5
Let -1/2*n**3 + 0*n + 0 - 19/2*n**2 = 0. What is n?
-19, 0
Let y(p) be the second derivative of p**4/4 + 6*p**3 + 54*p**2 + 35*p. Determine l, given that y(l) = 0.
-6
Let u(f) = -2*f**4 - f**3 - 8*f**2 - 3*f - 3. Let l(p) = p**4 + 2 + 2*p**3 - 181*p**2 + 4*p + 93*p**2 + 97*p**2. Let z(s) = -3*l(s) - 2*u(s). Factor z(v).
v*(v - 6)*(v + 1)**2
Determine l so that -58/5*l - 12/5 + 8/5*l**3 - 38/5*l**2 = 0.
-1, -1/4, 6
Let t be (5 - (2 + 6))/(243/(-54)). Factor -8/3*b**2 - t + 8/3*b.
-2*(2*b - 1)**2/3
Suppose 3*h - 27 = -f, 4*f - 44 = -2*h + 6*h. Let j = 17 - f. Factor -a**3 - 4*a**2 + 2*a**j + 3*a**3 - 6 - 10*a + 0*a**2.
2*(a - 3)*(a + 1)**2
Let r = 156545/7 - 22363. Find g, given that 6/7*g**3 + 0*g + r*g**2 + 0 = 0.
-2/3, 0
Let 9*o**4 + 54 + 68*o**2 - 26*o**3 + 95*o**3 + 171*o + 68*o**2 + 41*o**2 = 0. What is o?
-3, -1, -2/3
Factor -6*w - 3/2*w**5 + 0 - 18*w**2 - 9*w**4 - 39/2*w**3.
-3*w*(w + 1)**2*(w + 2)**2/2
Suppose -3*u = 222*h - 218*h - 47, -4*u - h = -28. Factor 0*c + 1/3*c**2 + 1/3*c**u - 1/3*c**3 + 0 - 1/3*c**4.
c**2*(c - 1)**2*(c + 1)/3
Let h(n) = n**2 - 80*n + 816. Let q be h(68). Factor -2/7*u**2 + q*u**4 + 1/7*u**5 - 4/7*u**3 + 2/7 + 3/7*u.
(u - 2)*(u - 1)*(u + 1)**3/7
Let o(p) be the third derivative of -p**5/240 + p**4/32 + 3*p**3/4 - 10*p**2 + 10. Factor o(b).
-(b - 6)*(b + 3)/4
Let g(p) = p**3 + 44*p**2 - 55*p - 447. Let q be g(-45). Determine a, given that 0*a + 4/7*a**5 + 4/7*a**4 - 4/7*a**2 + 0 - 4/7*a**q = 0.
-1, 0, 1
Let p(g) be the second derivative of -g**5/90 + 119*g**4/54 - 3599*g**3/27 + 3481*g**2/9 - 6*g - 14. Determine c so that p(c) = 0.
1, 59
Solve -4*n**2 + 2638 - 2638 + 16*n = 0 for n.
0, 4
Suppose 0 = -3*j + 2*i + 1 + 18, 5*j - 20 = i. Find t such that -8/7*t + 80/7*t**5 + 0 - 60/7*t**j - 44/7*t**2 + 32/7*t**4 = 0.
-1/2, -2/5, 0, 1
Let d(s) = -s**5 + 2*s**4 - s**2 - 2*s. Let g(a) = 2*a**5 - 37*a**4 - 9*a**3 + 272*a**2 + 154*a - 756. Let y(j) = 5*d(j) + g(j). Let y(m) = 0. What is m?
-7, -3, 2
Let l(k) be the first derivative of -25 - 1/21*k**6 - 2/3*k**3 - 2/7*k**2 - 2/7*k**5 - 9/14*k**4 + 0*k. Determine i so that l(i) = 0.
-2, -1, 0
Let c(f) = -2*f**3 + 3*f**2 + 5*f + 3. Let i(j) = j**2 - j + 1. Suppose 55*d = 61*d + 12. Let l(m) = d*c(m) + 6*i(m). Factor l(b).
4*b*(b - 2)*(b + 2)
Let h = -5 - -7. Let 4*c**2 + 5*c - 3*c**2 + 2*c**h + 7*c = 0. Calculate c.
-4, 0
Suppose 24*l**3 + 21*l**3 + 2*l**2 - 40*l**3 - 70*l + 23*l**2 = 0. Calculate l.
-7, 0, 2
Suppose 3*a - a - 6 = 0. What is k in -k**3 + 4 + 5*k**a - 4 = 0?
0
Let a = -214 - -216. Let b(n) be the second derivative of -1/10*n**5 + 1/3*n**3 - 1/42*n**4 + 6*n + 1/7*n**a + 0. Find u such that b(u) = 0.
-1, -1/7, 1
Let s(n) be the third d