(d) = 0. What is d?
-1, 34
Let a(n) = n**3 + 110*n**2 + 213*n - 321. Let c be a(-108). Suppose 3/4*p**c + 0 + 0*p + 3/2*p**2 = 0. What is p?
-2, 0
Let d(m) be the second derivative of m**9/98280 + m**8/14560 - 4*m**4/3 - 19*m. Let t(n) be the third derivative of d(n). Suppose t(f) = 0. Calculate f.
-3, 0
Let x(m) be the second derivative of 7*m**5/10 + 13*m**4/3 + 31*m**3/3 + 12*m**2 - 625*m. Find s such that x(s) = 0.
-12/7, -1
Factor -2*d**3 - 47*d**4 - 16*d**2 + 19*d**4 + 30*d**4 + 24*d.
2*d*(d - 2)**2*(d + 3)
Let f = 60 + -36. Let b = f - 22. Factor b + 9*r**2 - 12*r - 3*r**2 + 0 + 4*r**2.
2*(r - 1)*(5*r - 1)
Let p(q) = 7*q**4 - 41*q**3 - 59*q**2 + 53*q + 52. Let b(z) = -13*z**4 + 83*z**3 + 116*z**2 - 104*z - 103. Let h(o) = 4*b(o) + 7*p(o). Factor h(j).
-3*(j - 16)*(j - 1)*(j + 1)**2
Let x(s) = -2*s**3 - 68*s**2 - 640*s - 1011. Let l(u) = u**3 + 34*u**2 + 320*u + 506. Let w(p) = -13*l(p) - 6*x(p). Find m such that w(m) = 0.
-16, -2
Factor -9*w**4 + 114*w**2 + 72*w**2 - 12*w**2 - 120*w + 15*w**3.
-3*w*(w - 5)*(w + 4)*(3*w - 2)
Suppose -4*m - 13 = -3*r - 2*m, -3*m = 5*r - 9. Let q(j) = -j + 4. Let l be q(0). Let -12*a**5 + 6*a**r - 15*a**l - 16*a**5 + 7*a**5 = 0. What is a?
-1, 0, 2/7
Factor 207/2*t**2 + 216*t + 21*t**3 + 3/2*t**4 + 162.
3*(t + 2)*(t + 3)**2*(t + 6)/2
Suppose 2*w + 113 - 137 = 0. Factor 8*q**2 - 8*q**2 - w*q - 8 - 4*q**3 + 8*q**3.
4*(q - 2)*(q + 1)**2
Suppose 16 = -3*z + 5*z - 5*c, 4*z - 22 = 5*c. Solve -9*g**4 + 9*g**2 - 3*g**5 + 7*g**3 - 2*g**3 - 2*g**z = 0 for g.
-3, -1, 0, 1
Let v(q) be the third derivative of -1/4*q**5 + 0*q - 1/40*q**6 - 8*q**2 + 0 - 7/8*q**4 - 3/2*q**3. Determine o so that v(o) = 0.
-3, -1
Let q(y) be the second derivative of y**5/20 + 13*y**4/12 + 11*y**3/3 - y + 74. Solve q(r) = 0 for r.
-11, -2, 0
Let b(j) be the third derivative of 1/24*j**5 + 0*j - 1/240*j**6 + 38*j**2 + 0 + 1/4*j**3 - 7/48*j**4. Factor b(f).
-(f - 3)*(f - 1)**2/2
Suppose q - 25 = -5*x, 3*x - 4*q - 56 = -18. Factor 0 - 15/2*c**2 - 3/2*c**4 - 3*c - x*c**3.
-3*c*(c + 1)**2*(c + 2)/2
Suppose 0*z + 2/7*z**4 + 0 + 22/7*z**3 + 0*z**2 = 0. Calculate z.
-11, 0
Factor 0*v - 4/5 + 1/5*v**2.
(v - 2)*(v + 2)/5
Let -4/7*s**3 - 11/7*s**2 + 1/7*s**4 + 0 - 6/7*s = 0. Calculate s.
-1, 0, 6
Let d(p) = 4*p - 1. Let x(s) = 5*s**3 - 135*s**2 + 295*s - 135. Let n(v) = -10*d(v) + x(v). Find l such that n(l) = 0.
1, 25
Let u(r) = 9*r**3 + 5*r**2 - 12*r - 13. Suppose -2*b - 2 = -3*b. Let q(y) = -4*y**3 - 2*y**2 + 6*y + 6. Let g(n) = b*u(n) + 5*q(n). Let g(o) = 0. Calculate o.
-1, 2
Factor -35/6*i**3 + 10/3 + 5/6*i**4 - 65/6*i + 25/2*i**2.
5*(i - 4)*(i - 1)**3/6
Let u(l) = -l**2 - 10*l + 7. Let n be u(-5). Solve -132*j**3 - 48*j**2 - n + 10*j + 166*j - 146*j**2 - 18*j**4 = 0 for j.
-4, 1/3
Let n = -7111 - -7111. Find o such that 2/3*o**2 + 4/9*o - 4/9*o**3 + n - 2/3*o**4 = 0.
-1, -2/3, 0, 1
Let g(x) be the second derivative of -4*x + 1/8*x**3 - 1/48*x**4 + 0 - 1/4*x**2. Factor g(q).
-(q - 2)*(q - 1)/4
Suppose -8*i = -15*i + 21. Suppose 0 = c + c + 2*f - 2, -11 = -c + 4*f. Factor -h + i*h**c + 2*h**3 - 4*h**3.
h*(h - 1)*(h + 1)
Let i be 2/1 + 6 + 0. Suppose -10*u**4 - 6*u**2 + 6*u**3 - i*u**3 + 2*u + 16*u**2 = 0. What is u?
-1, -1/5, 0, 1
Let z(j) be the third derivative of j**8/672 + j**7/84 - 19*j**6/240 - 29*j**5/120 + 7*j**4/8 - 46*j**2 + 3. Let z(h) = 0. Calculate h.
-7, -2, 0, 1, 3
Let n be (-8 - -2)*1/(-2). Suppose -n*a + 5 = -5*u, -5*u - 5*a + 42 = 7. Factor -8*k - 3*k - u - 6*k**2 + 5*k - 2*k**3.
-2*(k + 1)**3
Let u(g) be the second derivative of g**4/15 - 86*g**3/15 + 84*g**2/5 + g + 120. Solve u(y) = 0 for y.
1, 42
Let g(s) be the first derivative of s**8/2184 + 2*s**7/1365 + s**6/780 - s**2 - 5*s + 29. Let n(t) be the second derivative of g(t). Factor n(h).
2*h**3*(h + 1)**2/13
Solve 39/2*w - 3*w**3 + 9 - 1/2*w**5 - 3*w**4 + 10*w**2 = 0 for w.
-3, -1, 2
Let l(s) be the second derivative of -s**4/4 + 5*s**3/2 - 9*s**2 + 57*s. Find z, given that l(z) = 0.
2, 3
Suppose -2*h + 0 - 4 = 2*t, -h + 4 = 3*t. Let z = t + 3. Find s such that -s**2 + z*s - 1 - 2 - 2*s**2 = 0.
1
Let i be 3/(-4) + (-5 - 230/(-40)). Let r(y) be the second derivative of 1/3*y**4 + 1/10*y**5 + i*y**2 + 0 - 6*y + 1/3*y**3. Determine l, given that r(l) = 0.
-1, 0
Let a(s) be the third derivative of s**9/3780 + s**8/1050 + 11*s**3/6 + 11*s**2. Let n(g) be the first derivative of a(g). Factor n(l).
4*l**4*(l + 2)/5
Let m(w) be the first derivative of -w**4/2 - 8*w**3/3 + w**2 + 8*w + 132. Factor m(l).
-2*(l - 1)*(l + 1)*(l + 4)
Suppose -172*k - 55 + 743 = 0. Factor -2/7*b**k + 0*b + 0*b**2 + 0 + 2/7*b**5 + 0*b**3.
2*b**4*(b - 1)/7
Suppose -3*d = 5*n + 89 - 11, -2*n + 4*d = 26. Let o = n + 18. Let 14*i**5 + 6*i**2 + 6*i**3 - o*i - 3 - 11*i**5 - 6*i**5 - 3*i**4 = 0. What is i?
-1, 1
Factor 4079*k**4 - 12*k**3 - 3*k**5 - k**5 - 4063*k**4.
-4*k**3*(k - 3)*(k - 1)
Suppose -4*j + 9 - 9 = 0. Let l(a) be the first derivative of 0*a**3 + 2 - 7/8*a**6 + j*a - 1/8*a**4 - 13/20*a**5 + 0*a**2. Determine b, given that l(b) = 0.
-1/3, -2/7, 0
Let c(j) be the first derivative of -2*j**7/21 + 2*j**6/5 - 4*j**4/3 - 14*j - 5. Let w(q) be the first derivative of c(q). Factor w(h).
-4*h**2*(h - 2)**2*(h + 1)
Let q(r) be the second derivative of -r**7/189 + r**6/27 - r**5/15 - 119*r. Factor q(g).
-2*g**3*(g - 3)*(g - 2)/9
Let l(n) be the first derivative of 2*n**5/45 - n**4/9 + 2*n**3/27 - 15. Suppose l(b) = 0. What is b?
0, 1
Let d(y) = 21*y**2 - y - 17. Let z(t) = -21*t**2 + t + 16. Let o(w) = 5*d(w) + 6*z(w). Let p(s) = 10*s**2 - s - 5. Let l(m) = -4*o(m) - 9*p(m). Factor l(v).
-(v - 1)*(6*v + 1)
Find v such that 2*v**5 - 6*v**3 + 20*v**4 + 18*v**3 + 38*v**3 = 0.
-5, 0
Let y(d) be the third derivative of d**8/560 - d**7/280 + 5*d**3/3 - 22*d**2. Let v(w) be the first derivative of y(w). Factor v(n).
3*n**3*(n - 1)
Suppose -3*o + 9 = r + 2*r, 5 = -5*o. Suppose h - 3 = -g + 5, 4*g = -5*h + 36. Solve -2*j + 20*j**5 - 15*j**3 + 3*j**4 - 2*j**h + 11*j**2 - 9*j**r = 0 for j.
-1, 0, 2/5, 1/2
Let h be (10/18)/((-100)/(-60)). Let -h*v**3 - 4/3 - 8/3*v - 5/3*v**2 = 0. Calculate v.
-2, -1
Factor 11*t + 2*t**2 - 30 - 203*t + 161 + 59.
2*(t - 95)*(t - 1)
Suppose -2/11*p**2 - 32/11 + 20/11*p = 0. What is p?
2, 8
Let n(d) be the third derivative of 0 - 40*d**4 - 506/15*d**5 - 7*d**6 + 0*d - 64/3*d**3 - 7/15*d**7 - 11*d**2. Factor n(v).
-2*(v + 4)**2*(7*v + 2)**2
Let r(j) be the third derivative of -j**6/40 - 11*j**5/10 + 47*j**4/8 - 12*j**3 + 148*j**2. Solve r(q) = 0 for q.
-24, 1
Let t(k) be the third derivative of k**6/960 + k**5/480 - k**4/96 + 887*k**2. Factor t(r).
r*(r - 1)*(r + 2)/8
Suppose 0*p**2 + 2/9*p**3 - 8/3*p + 32/9 = 0. Calculate p.
-4, 2
Let v(k) be the first derivative of 5*k**3/3 + 45*k**2/2 + 100*k + 100. What is o in v(o) = 0?
-5, -4
Let v(d) be the first derivative of -9 - 3/2*d**2 + 3*d - d**3 + 3/4*d**4. Find u, given that v(u) = 0.
-1, 1
Let z(d) = 10*d + 21. Let a be z(4). Solve -a*p - 292*p**2 - 192 - 83*p + 265*p**2 = 0.
-8/3
Let t = 43449 - 217243/5. Factor 0*k**2 + 0 + 0*k**4 + 2/5*k**5 - 4/5*k**3 + t*k.
2*k*(k - 1)**2*(k + 1)**2/5
Let z(h) be the first derivative of 5*h**4/48 + 25*h**3/24 + 5*h**2/2 - 30*h + 12. Let v(s) be the first derivative of z(s). Find t such that v(t) = 0.
-4, -1
Suppose -6*h = -4*h - 48. Determine o so that -4*o**2 + 3*o**2 + 20 - h - 4*o = 0.
-2
What is i in -3034/13*i - 2/13*i**3 - 152/13*i**2 - 5476/13 = 0?
-37, -2
Let j(m) = 60*m**5 - 127*m**4 + 27*m**3 + 75*m**2 - 23*m - 9. Let g(s) = s**4 - s**3 - s**2 + s - 1. Let q(f) = 3*g(f) + j(f). Find h, given that q(h) = 0.
-3/5, -1/3, 1
Factor 570/13*i**2 + 62/13 + 18/13*i**3 + 374/13*i.
2*(i + 31)*(3*i + 1)**2/13
Solve 0 + 4/9*i**2 - 8*i = 0.
0, 18
Let d = -198 - -202. Let n(s) be the third derivative of 1/1260*s**7 + 1/360*s**5 - 1/360*s**6 + 0*s + 8*s**2 + 0*s**3 + 0 + 0*s**d. Factor n(i).
i**2*(i - 1)**2/6
Let l = 7220 + -7215. Factor 1/3*a**4 + 1/6*a**l + 0 + 1/2*a - 2/3*a**3 - 1/3*a**2.
a*(a - 1)**2*(a + 1)*(a + 3)/6
Determine a so that 8/3 - 7/3*a - 1/3*a**2 = 0.
-8, 1
Let q(r) = -29*r**2 + 11*r - 5. Suppose -n - 60 = -13*n. Let j(b) = 72*b - 32 - 13*b**2 - 142*b**2 - 33*b**2. Let l(i) = n*j(i) - 32*q(i). Factor l(w).
-4*w*(3*w - 2)
Let q(f) be the first derivative of 3*f**2 - 11/3*f**3 + 0*f + f**5 