*2. Solve j(a) = 0.
0, 1
Suppose -4*v + 7 = -13. Suppose 3 - v - 3*a + 9*a - 2*a**2 - 2*a = 0. Calculate a.
1
Find s such that -2/11*s**2 - 4/11 - 6/11*s = 0.
-2, -1
Find o such that -1/3*o**3 + 0 - 1/3*o + 2/3*o**2 = 0.
0, 1
Let a(f) = 12*f**3 - 40*f**2 + 48*f + 288. Let j(l) = -l**3. Let s(c) = -a(c) - 8*j(c). Factor s(u).
-4*(u - 6)**2*(u + 2)
Let t(b) be the first derivative of b**4 - 4*b**3/3 - 8*b**2 + 16*b - 17. Let t(h) = 0. Calculate h.
-2, 1, 2
Factor 10*l - 4*l**2 - 2/3*l**3 - 16/3.
-2*(l - 1)**2*(l + 8)/3
Find v such that -13766*v + 4*v**5 - 4*v**4 + 13766*v = 0.
0, 1
Let h be (-2)/14 + (-2255)/(-2849). Let v = h + 2/111. Let 4/3*b + v*b**2 + 2/3 = 0. What is b?
-1
Let c(z) be the first derivative of -11 + 1/2*z**4 + z - 5/4*z**2 + 1/12*z**6 - 2/5*z**5 + 1/3*z**3. Find q, given that c(q) = 0.
-1, 1, 2
Let z(d) be the second derivative of d**6/1440 - d**5/480 + d**3 - 4*d. Let x(l) be the second derivative of z(l). Find t such that x(t) = 0.
0, 1
Let n(c) be the third derivative of c**6/1620 - c**5/135 + c**4/27 - c**3 - c**2. Let h(l) be the first derivative of n(l). Factor h(j).
2*(j - 2)**2/9
Factor 24*w**2 - 6*w**4 + 12*w - 4*w**3 - w + 5*w.
-2*w*(w - 2)*(w + 2)*(3*w + 2)
Let o = -188/15 - -1346/105. Let 2/7*q**2 - o*q**3 + 2/7*q - 2/7*q**4 + 0 = 0. What is q?
-1, 0, 1
Let y be 20/90*(-9)/(-8). Find p such that y*p**2 + 0*p + 1/4*p**3 + 0 = 0.
-1, 0
What is q in -16*q + 14*q + 3*q**2 + 6*q + q**2 = 0?
-1, 0
Let r(h) be the third derivative of h**8/840 + 4*h**7/525 + h**6/75 - h**5/75 - h**4/12 - 2*h**3/15 - 3*h**2. Factor r(y).
2*(y - 1)*(y + 1)**3*(y + 2)/5
Let t(i) be the second derivative of 1/12*i**4 - 1/6*i**3 + 0 + 1/20*i**5 - 7*i - 1/30*i**6 + 0*i**2. Determine j so that t(j) = 0.
-1, 0, 1
Let x(l) be the first derivative of 2/5*l**5 + 5 + 0*l**2 + 0*l + 0*l**3 - 1/2*l**4. Determine o so that x(o) = 0.
0, 1
Suppose -4 = -2*b - 3*x + 3, 3*b + x = 0. Let f be 4/(b/(-1) + 1). Factor -w + 4 + w**f + w - 4*w.
(w - 2)**2
Suppose -3*k - z + 5 = -0, -8 = -2*k + 4*z. What is x in 6 - 15*x + 0 - 17*x**k - 4*x**2 = 0?
-1, 2/7
Suppose 2*d - 4 = -4*r, 7 + 3 = -5*d. Let j(a) be the first derivative of a**2 - 2*a - r - 1/2*a**4 + 2/3*a**3. Suppose j(v) = 0. Calculate v.
-1, 1
Suppose 912*i - 14 = 905*i. Solve -2/5*w**3 - 2/5*w + 0 + 4/5*w**i = 0 for w.
0, 1
Let q(c) be the first derivative of 7*c**4/66 + 23*c**3/33 + 6*c**2/11 - 3*c - 1. Let l(v) be the first derivative of q(v). Factor l(o).
2*(o + 3)*(7*o + 2)/11
Let y(m) be the second derivative of m**7/147 + 4*m**6/105 + 3*m**5/35 + 2*m**4/21 + m**3/21 + 2*m. Let y(q) = 0. Calculate q.
-1, 0
Let n(d) be the first derivative of -1 - 2/3*d**3 + 0*d**2 + 0*d - 1/12*d**4 - 1/30*d**5 - 1/180*d**6. Let u(v) be the third derivative of n(v). Solve u(m) = 0.
-1
Suppose -9 = 5*x - 29. Factor -16*l + 38 - 3*l**2 + 4*l**3 - 21*l**2 - 6 + 4*l**x.
4*(l - 2)*(l - 1)*(l + 2)**2
Let x(k) be the third derivative of k**7/255 - 2*k**6/51 + 23*k**5/510 + 5*k**4/102 + 22*k**2. Solve x(l) = 0 for l.
-2/7, 0, 1, 5
Let x(b) be the third derivative of b**9/12096 - b**8/6720 + b**3/2 - 4*b**2. Let h(j) be the first derivative of x(j). Find l such that h(l) = 0.
0, 1
Let v(z) be the third derivative of z**5/12 - 5*z**4/6 - 18*z**2. Solve v(p) = 0.
0, 4
Let w(f) be the third derivative of 1/2*f**4 + 3/2*f**3 + 0*f + 0 + f**2 + 1/20*f**5. Suppose w(k) = 0. Calculate k.
-3, -1
Let w(s) = s**2 - 4*s - 2. Let b(o) = -3*o**2 + 11*o + 6. Let g(n) = -4*b(n) - 11*w(n). Let a(k) = -k**2 + 1. Let l(i) = -2*a(i) - g(i). Factor l(v).
v**2
Let m = 13/3 + -163/39. Let b(y) be the first derivative of 6/65*y**5 + 0*y - 2/13*y**2 + 2 - 2/39*y**3 + m*y**4. Factor b(k).
2*k*(k + 1)**2*(3*k - 2)/13
Suppose i - 7 + 7 + 2*i**4 - i**4 + 3*i**3 + 3*i**2 = 0. What is i?
-1, 0
Let u(v) be the second derivative of 0*v**2 + 0*v**3 + 0 - 2/3*v**4 + 6*v - 2/5*v**5 - 1/15*v**6. Determine t so that u(t) = 0.
-2, 0
Let d = -233 + 233. Factor 0 + 2/5*i**2 + d*i + 3/5*i**4 + i**3.
i**2*(i + 1)*(3*i + 2)/5
Let v(w) be the second derivative of -3*w**7/14 - 2*w**6/5 + 21*w**5/20 + w**4 - 2*w**3 + 18*w. What is y in v(y) = 0?
-2, -1, 0, 2/3, 1
Let q be ((-1)/27)/((-5)/(-60)*-2). Suppose 3*t = -5*s - 15, s = -t - 2*t - 15. Factor 2/9 - q*c**2 + s*c.
-2*(c - 1)*(c + 1)/9
Let c(k) = k**3 + 4*k**2 + 2*k - 1. Let f be c(-2). Let t(s) be the second derivative of 1/70*s**5 + 1/42*s**4 + s - 1/7*s**2 - 1/21*s**f + 0. Solve t(u) = 0.
-1, 1
Let o(d) be the third derivative of -d**8/336 + d**7/210 + d**6/60 + 18*d**2. Find h, given that o(h) = 0.
-1, 0, 2
Let y(v) = -3*v**3 - 2*v - 1. Let l be y(-2). Let z = l - 79/3. Factor 0*b + 0 - z*b**2 - 2/3*b**3.
-2*b**2*(b + 1)/3
Suppose -2*v - 11 = 5. Let m be 0/v - -2*1. Find y such that -1/2*y - 1 + 1/2*y**m = 0.
-1, 2
Let l(n) be the first derivative of -n**6/33 - 8*n**5/55 - 3*n**4/11 - 8*n**3/33 - n**2/11 - 7. Solve l(z) = 0 for z.
-1, 0
Let d(j) be the third derivative of -2*j**2 - 1/2*j**3 + 1/1440*j**6 + 0 + 0*j**4 + 0*j**5 + 0*j. Let k(s) be the first derivative of d(s). Factor k(y).
y**2/4
Let a(d) be the second derivative of d**4/27 + 2*d**3/9 + 4*d**2/9 - 19*d. Factor a(p).
4*(p + 1)*(p + 2)/9
Factor -1/4*y + 0 - 5/4*y**4 - 7/4*y**2 - 11/4*y**3.
-y*(y + 1)**2*(5*y + 1)/4
Let v(k) be the first derivative of 1/9*k**3 + 2/3*k**2 + k - 2. Factor v(p).
(p + 1)*(p + 3)/3
Let i(f) be the second derivative of -f**5/150 + 2*f**4/45 - f**3/9 + 2*f**2/15 + 7*f. Suppose i(x) = 0. Calculate x.
1, 2
Suppose -3*k = 2*l - 0*k - 16, 4*l + 5*k - 28 = 0. Let -3*p + 3*p**2 - 4*p**l + p**3 + p = 0. Calculate p.
-1, 0, 2
Factor 0 + 3/2*h**2 + 9/2*h.
3*h*(h + 3)/2
Suppose 8 = -4*o - 16. Let d(z) = -2*z**4 - 6*z**2 + 6*z + 6. Let i(p) = -p**2 + p + 1. Let w(l) = o*i(l) + d(l). Factor w(v).
-2*v**4
Let z = 493/118230 - -1/1689. Let m(j) be the third derivative of -2*j**2 + 0 + z*j**5 + 1/21*j**3 + 0*j + 1/42*j**4. Find t, given that m(t) = 0.
-1
Suppose 0*g + 2*g + 2 = 0. Let k be g/((-2)/4 + 0). Factor -1/2*n + 1/4*n**k + 0.
n*(n - 2)/4
Suppose 5*k - 11 - 9 = 0, 3*d - 3*k = 18. Let b be (-7 + d)/((-6)/(-4)). Factor 4/3 - b*t + 2/3*t**2.
2*(t - 2)*(t - 1)/3
Let a = 608/3 + -200. Let u(x) be the first derivative of -1/2*x**4 + a*x**3 - 4*x**2 - 3 + 0*x. Solve u(o) = 0 for o.
0, 2
Solve 52*y**2 + 98/3 + 32/3*y**3 + 224/3*y + 2/3*y**4 = 0 for y.
-7, -1
Suppose -176 = -2*b - 8. Let m be 4/14 + 18/b. Let -1/2*z**4 + 3/2*z**3 - 3/2*z**2 + 0 + m*z = 0. What is z?
0, 1
Let w(q) be the first derivative of -q**5/10 + q**4/6 - q + 5. Let i(k) be the first derivative of w(k). Let i(a) = 0. Calculate a.
0, 1
Let 10*b**2 + 0 + b + 81/4*b**4 + 117/4*b**3 = 0. Calculate b.
-1, -2/9, 0
Let o be 4/(-2) - (-3 + -5). Factor -4*p**3 - 2*p**2 - p + p + o*p**3.
2*p**2*(p - 1)
Let j(u) be the second derivative of u**5/10 - u**4/3 + u**3/3 + 6*u. Factor j(a).
2*a*(a - 1)**2
Let d be -1 + 4 + (-2248)/880. Let m = d + -1/22. Factor -96/5*o**2 - m + 128/5*o**3 + 24/5*o.
2*(4*o - 1)**3/5
Let t(a) be the first derivative of a**3/6 - a**2/4 - a - 7. Factor t(q).
(q - 2)*(q + 1)/2
Let l(k) = 9*k**2 - 27*k + 18. Let p(b) = -9*b + 3*b**2 + 2 + 11 - 1 - 6. Let n(g) = 3*l(g) - 8*p(g). Determine q, given that n(q) = 0.
1, 2
Let u = 44 + -42. Factor 1/4*q - 1/4*q**u - 1/4*q**3 + 1/4.
-(q - 1)*(q + 1)**2/4
Let p be (4/12)/(2/18). Let s be (-1)/(-2) + -3 + p. Factor h**2 + 9/4*h + s.
(h + 2)*(4*h + 1)/4
Factor -11*m**4 + 5*m**2 - 3*m**2 - 9*m**3 + 17*m**4 - 2*m**5 + 3*m**3.
-2*m**2*(m - 1)**3
Suppose 1211 - q - 1201 + 5*q**2 + 16*q = 0. What is q?
-2, -1
Let h(t) be the second derivative of -2*t**2 + 1/10*t**5 - 1/3*t**3 + 7*t + 1/3*t**4 + 0. Factor h(n).
2*(n - 1)*(n + 1)*(n + 2)
Solve -51/2*t + 9 + 15/2*t**2 = 0 for t.
2/5, 3
Let k be -2*1/(-2) + -1. Suppose 0 = 4*w - 8, 3*j + 5*w - w - 14 = k. Factor -5*b - 2*b**j + 2*b**3 + 3*b + 2 + 0 + 0*b.
2*(b - 1)**2*(b + 1)
Let q(s) be the second derivative of -s**6/540 + s**3/2 + 3*s. Let t(x) be the second derivative of q(x). Solve t(j) = 0 for j.
0
Let v(k) be the second derivative of -k**5/20 + 37*k**4/36 - 20*k**3/3 + 6*k**2 - 15*k. Find d, given that v(d) = 0.
1/3, 6
Let t(a) be the first derivative of -a**6/7 - 4*a**5/35 - 10. Let t(v) = 0. Calculate v.
-2/3, 0
Determine a so that -24/13*a**4 - 18/13*a**3 + 0*a - 10