Find c such that s(c) = 0.
-2, 1, 2
Let n(r) be the second derivative of r**7/357 - 2*r**6/255 - 13*r**5/85 - 28*r**4/51 - 47*r**3/51 - 14*r**2/17 + 157*r. Solve n(s) = 0 for s.
-2, -1, 7
Let h(j) = j + 3. Let y be h(4). Suppose 35 = y*c - 2*c. Factor -9*g**3 - 2*g**2 + 9*g**3 + 0*g**3 + c*g**3.
g**2*(7*g - 2)
Suppose -4*c - 18 = -c. Let z(f) = -2*f**2 + 2*f + 3. Let q(r) = -9*r**2 + 9*r + 13. Let s(n) = c*q(n) + 26*z(n). Solve s(l) = 0.
0, 1
Let p(s) = s**3 + 8*s**2 + 7*s + 5. Let y be p(-7). Factor 5*t**5 + 16*t**2 + y*t**4 - 9*t**2 - 12*t**2 - 5*t**3.
5*t**2*(t - 1)*(t + 1)**2
Let n(z) = 3 - 2*z + 2*z + 1 + 2*z. Let i be n(-2). What is u in -1/5*u**2 + i - 2/5*u = 0?
-2, 0
Let x(g) = g + 24. Let o(f) = -f - 21. Let u(s) = -5*o(s) - 4*x(s). Let y be u(-7). Suppose -35*l**4 + y - 10*l + 83/2*l**3 + 3/2*l**2 = 0. Calculate l.
-1/2, 2/7, 2/5, 1
Let k(x) be the second derivative of 0 + 0*x**3 + 0*x**2 - 11*x + 1/42*x**4. Determine j so that k(j) = 0.
0
Suppose 10 = 6*v - 20. Find k, given that 3*k**5 - k**v + 6*k**3 + k**3 - 9*k**3 = 0.
-1, 0, 1
Suppose -2*v = 2*q - 6 - 12, -3*v + 22 = 2*q. Let l(i) be the first derivative of 5 + 9/8*i**v + 11/10*i**5 + 1/3*i**6 + 1/6*i**3 + 0*i - 1/4*i**2. Factor l(y).
y*(y + 1)**3*(4*y - 1)/2
Let -58/3*y + 20 - 2/3*y**2 = 0. Calculate y.
-30, 1
Let d = 52 - 101/2. Let r(y) be the first derivative of -d*y**2 + 3/4*y**4 + 3*y - y**3 + 2. Factor r(j).
3*(j - 1)**2*(j + 1)
Suppose 0 + 171/7*i**2 - 135/7*i - 3/7*i**4 - 33/7*i**3 = 0. What is i?
-15, 0, 1, 3
Let z(w) be the third derivative of w**6/30 + 7*w**5/5 + 13*w**4/2 + 38*w**3/3 + 282*w**2. Factor z(h).
4*(h + 1)**2*(h + 19)
Let z(t) be the third derivative of -t**7/280 - t**6/120 + t**5/20 + 5*t**3/3 - 12*t**2. Let l(p) be the first derivative of z(p). Factor l(h).
-3*h*(h - 1)*(h + 2)
Let y be (-6*(-4)/12 - 1)/4. Let j(t) be the second derivative of -y*t**4 + 0*t**3 + 9/20*t**5 + 0 - 3/10*t**6 + 0*t**2 + 1/14*t**7 - 3*t. Factor j(p).
3*p**2*(p - 1)**3
Suppose 0 = 19*j + 409 - 124. Let q = -13 - j. Solve -q*b**2 + 2/3*b + 0 = 0 for b.
0, 1/3
Let a = -29 - -36. What is j in j + 7 - 2*j**3 - 2 - a*j - 3 + 6*j**2 = 0?
1
Let q be (-17 + 13)/(2/(-3)). Let n(f) be the first derivative of -1/24*f**4 + 0*f - q - 1/18*f**3 + 0*f**2. Factor n(v).
-v**2*(v + 1)/6
Let c(l) = 19*l**5 + 70*l**4 + 35*l**3 + 2*l**2 + 6. Let r(a) = -20*a**5 - 70*a**4 - 35*a**3 - 5. Let b(k) = -5*c(k) - 6*r(k). Determine h, given that b(h) = 0.
-2, -1, 0, 1/5
Let w(v) be the third derivative of v**8/2016 + 2*v**7/315 + 7*v**6/240 + 11*v**5/180 + v**4/18 - 2*v**2 - 29*v. Factor w(n).
n*(n + 1)**2*(n + 2)*(n + 4)/6
Let z be ((-9)/(-18))/(175/50). Factor -z*p**3 - 8/7 + 4/7*p + 2/7*p**2.
-(p - 2)**2*(p + 2)/7
Let k(r) be the third derivative of 0*r**3 + 0*r + 28*r**2 + 0 - 1/28*r**4 + 1/210*r**5. Find s such that k(s) = 0.
0, 3
Let f(q) = 3*q**3 - 36*q**2 - 75*q + 105. Let a(t) = 4*t**3 - 71*t**2 - 149*t + 211. Let r(h) = -3*a(h) + 5*f(h). Determine u, given that r(u) = 0.
-6, 1
Let -10/9*o**2 + 0 + 8/9*o**3 + 2/9*o = 0. What is o?
0, 1/4, 1
What is z in -5*z**4 - 50*z**2 + 10*z**5 - 312 + 10*z - 17*z**3 - 43*z**3 + 327 = 0?
-1, 1/2, 3
Let v = -34 - -36. Find s, given that -2*s + s + 1 - 3*s**v + 3*s + 0*s = 0.
-1/3, 1
Let k(a) be the first derivative of 5/3*a**3 - 45/2*a**2 - 1 + 0*a. Let k(l) = 0. What is l?
0, 9
Let u be (-15 + (-222)/(-18))/((-25)/15). Find d such that -u*d + 0 - 2/5*d**3 + 8/5*d**2 = 0.
0, 2
Let k(s) be the second derivative of -s**4/16 + 5*s**3/2 - 297*s**2/8 - 193*s - 2. Factor k(c).
-3*(c - 11)*(c - 9)/4
Suppose -4*f + 24 = 4*f. Suppose 4*o - 2*r - 58 = 0, -f*r - 73 = -4*o - 10. Solve -4*g**3 - 4*g**2 - 3*g**2 - 8*g**5 - 5*g**2 + o*g**4 + 4*g**5 + 8*g = 0 for g.
-1, 0, 1, 2
Let u(i) be the second derivative of -i**7/840 - i**6/160 - i**5/80 - i**4/96 + 9*i**2 + 19*i. Let r(m) be the first derivative of u(m). Factor r(o).
-o*(o + 1)**3/4
Let k(b) be the second derivative of b**4/60 + b**3/10 + b**2/5 + 52*b. Factor k(p).
(p + 1)*(p + 2)/5
Let a(b) = -b**2 + 7*b - 4. Let z be a(6). Suppose 0 = v + 5*m + z, 2*v + 5*m + 0 - 1 = 0. Factor 3*x**3 - 18*x**2 - 21*x - 6 + v*x**4 + 3*x**4 + 0*x**4.
3*(x - 2)*(x + 1)**2*(2*x + 1)
Suppose 110*t = 104*t + 18. Factor 0 + 0*y**2 - 3/7*y + 3/7*y**t.
3*y*(y - 1)*(y + 1)/7
Let i(r) be the second derivative of 0*r**2 + 0*r**6 + 4*r + 0 + 1/840*r**7 + 0*r**5 - 2/3*r**4 + 0*r**3. Let s(f) be the third derivative of i(f). Factor s(p).
3*p**2
Let y(v) be the third derivative of 2/75*v**5 + 7*v**2 - 1/300*v**6 + 0 + 0*v + 2/15*v**3 - 1/12*v**4. Determine n so that y(n) = 0.
1, 2
Let -12*i**4 + 96 - 3*i**5 + 10*i**3 + 23*i**3 + 78*i**2 - 79*i - 113*i = 0. Calculate i.
-4, 1, 2
Let g = 53483 + -53481. Determine c, given that -3/4*c - 1/4*c**g + 1 = 0.
-4, 1
Suppose -80/3 + 2/3*o**4 + 104/3*o - 2/3*o**3 - 12*o**2 = 0. Calculate o.
-5, 2
Let h be 95 + 1 + -1 + -2. Let q = h + -91. Solve 2/7 + 2/7*p**q - 4/7*p = 0.
1
Let m(u) = -u**2 - 55*u + 44. Let z(t) = 5*t**2 + 280*t - 219. Let f(s) = -22*m(s) - 4*z(s). Suppose f(x) = 0. What is x?
-46, 1
Let r(z) be the second derivative of -z**4/36 - 2*z**3/9 + 5*z**2/6 - 321*z. Factor r(u).
-(u - 1)*(u + 5)/3
Let q(o) be the first derivative of 4/39*o**3 - 5 + 0*o + 1/26*o**4 - 3/13*o**2. Solve q(j) = 0 for j.
-3, 0, 1
Let f = -33 + 33. Solve a**2 + 2*a**2 + f*a**2 + a**2 = 0 for a.
0
Suppose 0 = -18*u + 10 + 26. Let f(n) be the second derivative of -1/35*n**5 - 1/105*n**6 + 0*n**u + 0 - 1/42*n**4 + 0*n**3 - n. What is c in f(c) = 0?
-1, 0
Let v(f) be the third derivative of -f**8/16800 - f**7/3150 - f**6/1800 + f**5/10 + 3*f**2. Let g(p) be the third derivative of v(p). Find w such that g(w) = 0.
-1, -1/3
Find t, given that 0 - 2/11*t**3 + 114/11*t**2 - 112/11*t = 0.
0, 1, 56
Let n(m) be the third derivative of -17/60*m**6 + 8/3*m**3 + 17/15*m**5 - 16*m**2 + 0*m + 0 + 1/35*m**7 - 7/3*m**4. Factor n(c).
2*(c - 2)**2*(c - 1)*(3*c - 2)
Factor 21*p + 48 - 51/2*p**2 + 3/2*p**3.
3*(p - 16)*(p - 2)*(p + 1)/2
Suppose -3*h = 3*l - 12, 2*l + 3*h = -2*h + 14. Suppose -4*w - 12*w - 35*w**l + 39*w**2 = 0. What is w?
0, 4
Let s(i) be the second derivative of 1 + 25/12*i**4 + 21*i - 85/6*i**3 + 15*i**2. Factor s(f).
5*(f - 3)*(5*f - 2)
Let l(r) be the first derivative of 15/4*r**4 - 3/5*r**5 - 6*r - 9*r**3 + 21/2*r**2 + 21. Determine s so that l(s) = 0.
1, 2
Suppose -33*w = -37*w - u + 18, -3*u + 19 = 5*w. Let m(p) be the third derivative of -1/420*p**w + 0 - 6*p**2 + 2/21*p**3 + 0*p + 0*p**4. What is z in m(z) = 0?
-2, 2
Let k be -1 + (-21)/(-9) + ((-8)/12)/(-1). Factor 2/5*m**k - 2/5 + 0*m.
2*(m - 1)*(m + 1)/5
Suppose -60 = 2*y + 5*a, 4*y - 14 + 102 = -2*a. Let u be ((-16)/y)/((-2)/(-10)). Solve 7*c + 3*c**3 - u*c**3 + 4 - c**3 - c = 0 for c.
-1, 2
Let z(m) be the first derivative of m**7/105 - m**6/75 + 31*m - 17. Let p(x) be the first derivative of z(x). Factor p(n).
2*n**4*(n - 1)/5
Let v(m) be the third derivative of -m**7/105 + m**6/20 + 7*m**5/30 - 5*m**4/4 - 6*m**3 + 102*m**2. Determine b so that v(b) = 0.
-2, -1, 3
Suppose -17 = -5*b + o, -50 = -4*b - 5*o - 19. Let y(i) be the first derivative of -5 + 0*i**3 + 1/12*i**b + 1/18*i**6 + 2/15*i**5 + 0*i + 0*i**2. Factor y(w).
w**3*(w + 1)**2/3
Let c(l) be the third derivative of -l**6/120 - l**5/12 + l**4/4 - 52*l**2. Let q be c(-6). Solve 9/5*g**3 + 9/5*g**2 + 3/5*g + 3/5*g**4 + q = 0 for g.
-1, 0
Let w(x) be the third derivative of -x**7/630 + x**6/180 - x**5/180 - 2*x**2 + 21*x. Factor w(k).
-k**2*(k - 1)**2/3
Let m be 4 + (7/(-2))/7*0. Let f(y) be the second derivative of 8*y + 0*y**2 - 1/12*y**m + 0*y**3 + 0 - 1/5*y**5. Factor f(g).
-g**2*(4*g + 1)
Suppose 2*x = v + 2, 0 = 4*x - 8*v + 3*v + 2. Let f(c) be the first derivative of -2*c - 2*c**4 - x - 4*c**3 - 4*c**2 - 2/5*c**5. Factor f(m).
-2*(m + 1)**4
Let o(s) = -3*s**2 + 9*s - 12. Let q be o(5). Let l = 85/2 + q. Solve 1/2*j**2 + 0 - 1/2*j + l*j**3 - 1/2*j**4 = 0.
-1, 0, 1
Let p(c) = c**3 - 17*c**2 + 17*c - 13. Let g be p(16). Factor k**4 + 10*k**2 + 2*k**2 - k**4 - g*k**4.
-3*k**2*(k - 2)*(k + 2)
Let j be (92/33)/((-2)/(-3)). Let u be -18 - -27*(-392)/(-462). Find w such that 4/11*w + j*w**4 + 0 + u*w**3 + 26/11*w**2 + 14/11*w**5 = 0.
-1, -2/7, 0
Let w(r) be the second derivative of -r**6/36 + r**5/30 +