*5 + 0*z**3 + 0*z + 9 + 0*z**4. Solve s(d) = 0.
0
Let i(p) be the second derivative of -3*p**2 - 3/10*p**6 + 3/20*p**5 + 5/4*p**4 + 0 + 15*p - 1/2*p**3. Suppose i(d) = 0. Calculate d.
-1, -2/3, 1
Suppose -n - 3*c - 31 = 0, 0*n = -2*n + 4*c - 12. Let b = 18 + n. Solve 2*f**3 - 2*f**b - f**2 - f**2 = 0.
0, 2
Let o(k) be the second derivative of -k**8/14280 - k**7/4284 - k**6/6120 - 3*k**4/2 - 7*k. Let h(w) be the third derivative of o(w). Solve h(d) = 0.
-1, -1/4, 0
Let a(b) be the second derivative of 1/5*b**5 + 1/9*b**4 - 13*b - 4/3*b**2 + 0 - 2/3*b**3 + 2/45*b**6. Determine i, given that a(i) = 0.
-2, -1, 1
Find c such that -24*c**2 + 50*c + 49*c**2 + 43*c - 22*c**2 = 0.
-31, 0
Factor -2/15*m**3 + 4/5 + 0*m**2 + 14/15*m.
-2*(m - 3)*(m + 1)*(m + 2)/15
Let m(s) be the first derivative of 14 + 6*s - 5/2*s**2 + 1/3*s**3. Let m(p) = 0. What is p?
2, 3
Factor 0 + 0*u + 5/2*u**4 + 1/2*u**5 + 7/2*u**3 + 3/2*u**2.
u**2*(u + 1)**2*(u + 3)/2
Let r = -365 - -367. Let -1/7 + 0*w + 1/7*w**r = 0. Calculate w.
-1, 1
Suppose 16*h - 14*h + 33 = 13*h. Suppose 6/13*l - 38/13*l**h + 6/13*l**4 - 36/13 + 62/13*l**2 = 0. Calculate l.
-2/3, 1, 3
Let o(m) be the third derivative of m**9/8400 - m**8/2800 + m**7/4200 + 5*m**4/24 - m**2. Let p(d) be the second derivative of o(d). Factor p(s).
3*s**2*(s - 1)*(3*s - 1)/5
Let k = -14 + 23. Factor 16*b**3 + k - 20*b**2 + 4*b - 9.
4*b*(b - 1)*(4*b - 1)
Suppose -4*x + 12 = -x, 2 = 3*g - x. Factor 12/5 - 14/5*k + 2/5*k**g.
2*(k - 6)*(k - 1)/5
Let c(p) = 2*p**2 - 662*p + 26898. Let x(w) = -3*w**2 + 1327*w - 53797. Let o(r) = 5*c(r) + 2*x(r). Determine m so that o(m) = 0.
82
Suppose 2*w = -4*j - w + 23, -16 = 2*j - 4*w. Suppose -19 = -j*y - 3*k, -4*k - k = 4*y - 37. Suppose 2 - 3*l**3 + y*l**2 - 7*l - 7*l + 7*l = 0. What is l?
2/3, 1
Let d = 6 + -3. Solve -12*x - 1 - 16*x - 23 + 20*x**d + 32*x**2 = 0.
-2, -3/5, 1
Let r(o) be the third derivative of 1/690*o**6 + 0 + 0*o - 1/2415*o**7 + 2/345*o**5 + 0*o**3 - 2/69*o**4 + 41*o**2. Determine l so that r(l) = 0.
-2, 0, 2
Let z(s) = 17*s**5 - 11*s**4 - 6*s**3. Let n(a) = -a**5 + a**4. Let j be (-178)/26 - (-6)/(-39). Let k be (4/j)/((-2)/7). Let t(m) = k*n(m) + z(m). Factor t(h).
3*h**3*(h - 1)*(5*h + 2)
Let t(r) = r**3 - 23*r**2 + 8*r - 184. Let i be t(23). Factor -1/3*g**2 + 1/9*g + i + 2/9*g**3.
g*(g - 1)*(2*g - 1)/9
Let q(y) be the first derivative of -y**6/360 - y**5/120 + y**4/12 - 10*y**3/3 + 1. Let s(t) be the third derivative of q(t). Solve s(c) = 0.
-2, 1
Let k be 315/(-42)*(-28)/6. Let p be ((-10)/(-9))/(k/42). Factor 0*h + 4/3*h**2 - p.
4*(h - 1)*(h + 1)/3
Suppose -21*a = -27*a + 18. Let v be ((-40)/(-42) + 6/(-21))*a. Factor -6/7*f**v + 4/7 + 2/7*f.
-2*(f - 1)*(3*f + 2)/7
Let i(v) be the first derivative of -3/7*v**4 - 8/7*v**2 + 16 - 64/35*v**5 + 2/3*v**6 + 64/21*v**3 + 0*v. Determine f, given that i(f) = 0.
-1, 0, 2/7, 1, 2
Let n(b) be the second derivative of 2/3*b**3 - 1/3*b**4 - 12*b + 0*b**2 + 0. Factor n(l).
-4*l*(l - 1)
Let t be 22/(-8) + 12/(-48). Let o be 2 + (0/t)/(-2). Suppose 2*n - 5*n**2 + n**o + 6*n**2 = 0. Calculate n.
-1, 0
Solve 2*z**3 - 13718*z**2 + 3*z**3 + 13833*z**2 = 0.
-23, 0
Let i(q) be the second derivative of -q**7/1680 + q**6/720 + q**5/240 - q**4/48 - 35*q**3/6 + 25*q. Let b(f) be the second derivative of i(f). Factor b(s).
-(s - 1)**2*(s + 1)/2
Let b = 921 + -917. Factor 0*j - 2/9*j**5 + 0 + 0*j**b + 2/3*j**3 + 4/9*j**2.
-2*j**2*(j - 2)*(j + 1)**2/9
Let p(l) be the third derivative of -l**8/50400 - 13*l**7/12600 - l**6/150 + 5*l**5/12 + 13*l**2. Let g(t) be the third derivative of p(t). Factor g(f).
-2*(f + 1)*(f + 12)/5
Factor 63/4 + 1/4*z**2 - 4*z.
(z - 9)*(z - 7)/4
Suppose 2*i - 4 = -0*i. Suppose -4*o + 2*n + 6 = 0, -21*o + 19*o = -2*n - 2. Factor -4 - 8*l - 3*l**i + o*l**2 + 4*l**2 - 7*l**2.
-4*(l + 1)**2
Determine h so that 312/11*h + 2/11*h**2 + 12168/11 = 0.
-78
Let z(x) be the first derivative of -x**5/15 + x**4/12 + 4*x**3/9 - 2*x**2/3 - 292. Factor z(n).
-n*(n - 2)*(n - 1)*(n + 2)/3
Let j(r) be the second derivative of r**4/18 + 2*r**3/9 - 8*r**2/3 - 20*r. Factor j(q).
2*(q - 2)*(q + 4)/3
Let v be ((-6)/(-7))/((-8)/(-224)). Factor 32*l + v + 2/3*l**3 + 26/3*l**2.
2*(l + 1)*(l + 6)**2/3
Let h(p) = p - 6. Let z be h(6). Suppose -6 = o - z. Let n(m) = -14*m**2 + 2. Let a(i) = i**3 + 14*i**2 - 3. Let y(l) = o*a(l) - 5*n(l). Factor y(k).
-2*(k + 1)*(k + 2)*(3*k - 2)
Let k(a) = -6*a. Let n(w) be the second derivative of 0 + 1/12*w**4 - w**3 + 9*w + 0*w**2. Let m(l) = -4*k(l) + 3*n(l). Find b, given that m(b) = 0.
-2, 0
Let j be 1 + (-22)/(-12) + 12/72. Suppose 0*c - c + 4*z + 6 = 0, j*z = -c - 1. Factor 0*p + 4/13*p**3 + 0*p**c + 2/13*p**4 + 0.
2*p**3*(p + 2)/13
Let g(u) be the first derivative of -u**5/5 - u**4/10 + 95. Let g(t) = 0. What is t?
-2/5, 0
Let r(w) be the third derivative of -w**6/380 - 14*w**5/285 - 3*w**4/76 - 278*w**2. Factor r(j).
-2*j*(j + 9)*(3*j + 1)/19
Let b = 45 + -17. Factor b*j**2 - 18*j**4 - 8*j**3 - 177*j + 29*j**3 + 181*j.
-j*(j - 2)*(3*j + 2)*(6*j + 1)
Let a(u) be the third derivative of u**6/8 + 31*u**5/240 - 9*u**4/32 + u**3/12 + 3*u**2 + 2. Factor a(i).
(i + 1)*(5*i - 2)*(12*i - 1)/4
Let w = -10 + 18. Factor -25*p + 8 + 10*p - w*p**2 + 4*p**3 + 11*p.
4*(p - 2)*(p - 1)*(p + 1)
Let o(q) be the third derivative of q**8/120960 - q**7/30240 - q**6/720 + 11*q**5/30 + 28*q**2. Let b(v) be the third derivative of o(v). Factor b(f).
(f - 3)*(f + 2)/6
Determine b, given that 462/5*b**2 + 4 + 272/5*b**3 - 32/5*b**4 + 178/5*b = 0.
-1, -1/4, 10
Suppose 10*s - 9*s + 5*i = 22, 2*s + 8 = 3*i. Factor 0 + 4/7*y + 10/7*y**s.
2*y*(5*y + 2)/7
Suppose -41*u - 17*u + 86 = 28*u. Factor u + 3/2*g + 1/2*g**2.
(g + 1)*(g + 2)/2
Let s(x) be the second derivative of x**5/35 - 23*x**4/84 + 31*x**3/42 - 6*x**2/7 + 573*x. Suppose s(z) = 0. Calculate z.
3/4, 1, 4
Suppose 2/5*d**2 - 2*d**3 + 16/5*d - 2/5*d**4 + 2/5*d**5 + 8/5 = 0. Calculate d.
-1, 2
Let i(m) be the first derivative of m**3/24 + 9*m**2/16 - 47. Solve i(v) = 0.
-9, 0
Factor 276*l**2 + 196/5*l**4 + 0 - 288/5*l - 1736/5*l**3.
4*l*(l - 8)*(7*l - 3)**2/5
Let c(s) be the second derivative of s**6/10 + 3*s**5/20 - s**4 - 2*s**3 + 177*s. Factor c(b).
3*b*(b - 2)*(b + 1)*(b + 2)
What is a in -156/7*a + 6/7*a**4 - 18/7*a**2 + 48/7*a**3 - 96/7 = 0?
-8, -1, 2
Let x(l) = -l**3 - 6*l**2 - 7*l - 6. Let t be x(-5). Let n = 13 - t. Let 28*m**3 - 3*m**2 - 12*m**5 - 7*m - 13*m**2 + 16*m**4 - n*m = 0. Calculate m.
-1, -2/3, 0, 1, 2
Let l be 2/(-20)*-1*(-360)/(-432). Let x(t) be the second derivative of 0*t**3 + 0 + 7/120*t**6 + l*t**4 - 5*t + 0*t**2 + 1/5*t**5. Solve x(v) = 0.
-2, -2/7, 0
Let c(k) = -17*k + 9. Let v be c(-4). Let a = 80 - v. Suppose 2/5*u**2 - 2/5*u**a + 2*u + 6/5 = 0. What is u?
-1, 3
Let u = 15191 - 15188. Suppose 0 + 3/7*q**3 + 0*q - u*q**2 = 0. Calculate q.
0, 7
Let -25*n**3 + 60*n + 115*n**2 + 51*n**3 + 0 + 0 - 36*n**3 = 0. What is n?
-1/2, 0, 12
Let 20 - 25*h + h**2 - 12*h**2 + 6*h**2 + 10 = 0. Calculate h.
-6, 1
Let u(g) be the first derivative of -1/9*g**3 + 0*g - 2 - 1/12*g**2 + 1/24*g**4 + 1/15*g**5. Find k such that u(k) = 0.
-1, -1/2, 0, 1
Let f be -9*((-66)/(-429) + (-88)/234). What is k in 8/3*k + 10/3 - 2/3*k**f = 0?
-1, 5
Suppose 114*j = 45*j. Let n(i) be the second derivative of 1/20*i**5 + j*i**2 - i - 1/3*i**4 + 0 + 1/2*i**3. Let n(x) = 0. What is x?
0, 1, 3
Let v(z) be the third derivative of -z**6/120 + z**5/20 - z**4/8 + z**3/6 - 22*z**2. Find n, given that v(n) = 0.
1
Let r(u) be the first derivative of u**6/2 + 12*u**5/5 + 9*u**4/4 - 4*u**3 - 6*u**2 - 203. Determine k, given that r(k) = 0.
-2, -1, 0, 1
Let f(c) = 31*c**4 + 30*c**3 - 127*c**2 - 286*c + 8. Let i(d) = -11*d**4 - 10*d**3 + 42*d**2 + 96*d - 3. Let l(u) = 3*f(u) + 8*i(u). Solve l(p) = 0.
-3, -2, 0, 3
Let a(y) be the second derivative of -y**6/60 - y**5/10 - 5*y**4/24 - y**3/6 + 3*y - 9. Factor a(w).
-w*(w + 1)**2*(w + 2)/2
Let h = 66607/11 + -6055. Let 0 + h*x - 4/11*x**2 + 2/11*x**3 = 0. Calculate x.
0, 1
Let s be ((-21)/49)/((-212)/371). Factor -s*l - 1/4 + l**2.
(l - 1)*(4*l + 1)/4
Determine h, given that 30*h**2 - 10*h**2 + 74*h**4 - 79*h**4 + 40*h - 6*h**3 - 4*h**3 = 0.
-2, 0, 2
Let v(s) = -20*s**3 + 10*s**2 - 32. Let n(h) = 4*h**3 - 2*h**2 + 6. Let w(b) = 16*n(b) + 3*v(b). Factor w(k)