 5 - r*q**4 - 2/15*q**3. Let v(a) = 0. Calculate a.
-1, 1
Let i(a) = -3*a - 17*a + 16*a**4 + 311 - 299 - 12*a**3 - 12*a**2. Let f(s) = s**4 - s**3 - s + 1. Let j(w) = 12*f(w) - i(w). Factor j(d).
-4*d*(d - 2)*(d + 1)**2
Let i(z) be the third derivative of 1/240*z**5 + 3*z**2 - 1/480*z**6 + 0 + 0*z + 1/8*z**3 + 5/96*z**4. Find v, given that i(v) = 0.
-1, 3
Let m be (((-18)/45)/(-1))/(12/10). Let u(i) be the first derivative of 3/2*i**2 - 2 - m*i**3 + 0*i. Find q, given that u(q) = 0.
0, 3
Let x(m) = -2*m**3 - 146*m**2 + 68*m**2 + 62*m**2 + 13*m - 20*m**3. Let w(y) = 15*y**3 + 11*y**2 - 9*y. Let n(l) = 7*w(l) + 5*x(l). Solve n(h) = 0 for h.
-1, 0, 2/5
Let i(x) be the third derivative of 0*x + 1/300*x**6 + 0 + 5*x**2 - 1/25*x**5 - 8/15*x**3 + 1/5*x**4. Factor i(v).
2*(v - 2)**3/5
Let c(j) be the third derivative of j**7/200 + 23*j**6/600 + j**5/10 + j**4/10 - j**3/3 + 37*j**2. Let d(m) be the first derivative of c(m). Factor d(p).
3*(p + 1)*(p + 2)*(7*p + 2)/5
Let j(l) be the second derivative of 7*l**6 - 10*l**5 + 40*l**3 - 20*l**4 + 0 - 15/14*l**7 + 80*l**2 - 11*l. Determine t so that j(t) = 0.
-2/3, 2
Suppose 3*k = -4*s + 15, 0 = -0*s - 3*s + k - 5. Let y be (2 + -7)/(-5)*s. Factor -4/3*w + y - 22/3*w**2 - 32/3*w**3 - 14/3*w**4.
-2*w*(w + 1)**2*(7*w + 2)/3
Let d(p) be the second derivative of -p**5/20 + 7*p**4/12 - 5*p**3/2 + 9*p**2/2 + 3*p + 31. Solve d(y) = 0 for y.
1, 3
Suppose -3*q = 2*q + 10. Let h be 96/(-51) + q/(-1). Factor 0*b + 2/17 - h*b**2.
-2*(b - 1)*(b + 1)/17
Let q be (-25)/20*(-63)/15 + -5. Let r(j) be the first derivative of 12 + q*j**2 + 1/10*j**5 + 0*j + 3/8*j**4 + 1/2*j**3. Factor r(b).
b*(b + 1)**3/2
Suppose -15*j + 102/7 + 3/7*j**2 = 0. What is j?
1, 34
Let m = 1897401/773570 + -11/2570. Let i = -50/43 + m. Factor i - 12/7*b + 3/7*b**2.
3*(b - 3)*(b - 1)/7
Factor 103*j**2 + 29 + 4*j**3 + 111*j + 25 - 43*j**2 - j**3.
3*(j + 1)**2*(j + 18)
Let b(u) = -u**4 - u**3 + u - 1. Let k(h) = -7*h**4 + 8*h**3 + 12*h**2 - 44*h - 4. Let j(p) = 4*b(p) - k(p). Determine y, given that j(y) = 0.
-2, 0, 2, 4
Suppose 8*l - 4 = 7*l. Find v, given that 16*v**l - 9*v**4 - 24*v**3 + 18*v**4 - 20*v**2 - 16*v**3 = 0.
-2/5, 0, 2
Let h(j) be the first derivative of 2*j**5/5 + j**4/2 - 4*j**3/3 - 206. Factor h(o).
2*o**2*(o - 1)*(o + 2)
Let a(c) be the first derivative of c**6/960 - c**5/160 + c**4/64 - c**3/48 + 6*c**2 - 1. Let m(k) be the second derivative of a(k). Factor m(x).
(x - 1)**3/8
Let b be (-2)/(-6) + 1256/8112. Let r = 2/169 + b. Suppose -1/4*h**4 - r - 5/4*h**3 - 9/4*h**2 - 7/4*h = 0. Calculate h.
-2, -1
Factor i**3 + 2*i**3 + 556*i**2 - 565*i**2 - 12*i.
3*i*(i - 4)*(i + 1)
Let f(z) be the third derivative of z**8/84 - 61*z**7/210 + z**6/8 - 28*z**2 - 2. Let f(c) = 0. Calculate c.
0, 1/4, 15
Factor 8/7 - 6/7*p**2 + 0*p - 2/7*p**3.
-2*(p - 1)*(p + 2)**2/7
Let f(b) be the second derivative of b**8/33600 - b**7/2520 + b**6/450 - b**5/150 - 7*b**4/3 + 3*b. Let x(j) be the third derivative of f(j). Factor x(m).
(m - 2)**2*(m - 1)/5
Let t(l) be the third derivative of l**5/300 - l**4/15 + 7*l**3/30 - 336*l**2. Factor t(f).
(f - 7)*(f - 1)/5
Factor -93/5*v + 96/5*v**2 - 3/5*v**3 + 0.
-3*v*(v - 31)*(v - 1)/5
Suppose 74 = 3*c - 52. Let p = 44 - c. Factor 0 - 8/9*s - 2/9*s**3 + 8/9*s**p.
-2*s*(s - 2)**2/9
Let t be (-30)/75 + 2 + 24/(-15). Suppose 0*u - u - 2*b = -8, t = -u + 5*b - 13. Find d such that 0*d + 0 + 3/8*d**3 - 3/8*d**u = 0.
0, 1
Suppose 0 = -5*g - 5*g + 30. Let s(i) be the first derivative of 0*i + 9/4*i**4 + 11 + 3/2*i**2 - 3*i**g - 3/5*i**5. Suppose s(l) = 0. What is l?
0, 1
Let h be ((-6)/(-2))/((-1)/3). Let q = 12 + h. Find f such that -9*f + f**3 - 4*f**3 + 4*f**2 - 13*f**2 - q = 0.
-1
Suppose 10 = 519*i - 514*i. Let g(k) be the first derivative of -3*k**4 - 6*k - 1/2*k**6 - i*k**3 + 12/5*k**5 - 7 + 15/2*k**2. Factor g(d).
-3*(d - 2)*(d - 1)**3*(d + 1)
Suppose 0 = 2*k + 9 - 17. Let -6*z + 0*z - 3*z**2 + 6 - k - 5 = 0. What is z?
-1
Let x(k) be the third derivative of -7/390*k**5 - 1/780*k**6 - 5/52*k**4 + 0 - 31*k**2 + 0*k - 3/13*k**3. Factor x(n).
-2*(n + 1)*(n + 3)**2/13
Let m = 319 - 956/3. Factor -m*z**2 + z - 2/3.
-(z - 2)*(z - 1)/3
Determine y, given that 59*y**2 + 60*y**2 + 61*y**2 - 181*y**2 - 49 - 14*y = 0.
-7
Let k(u) be the third derivative of 0*u + 1/120*u**6 - 1/60*u**5 + 14*u**2 + 0 + 0*u**4 + 0*u**3. Factor k(x).
x**2*(x - 1)
Let p = -12877 - -141745/11. Suppose -26/11*r**3 + 0 + 70/11*r**2 + p*r + 2/11*r**4 = 0. Calculate r.
-1, 0, 7
Let b(o) be the first derivative of -12 + 5/2*o**2 + 10/9*o**3 - 5/12*o**4 + 0*o. Determine j so that b(j) = 0.
-1, 0, 3
Let w(g) be the second derivative of -g**6/15 - 11*g**5/5 - 169*g**4/6 - 176*g**3 - 576*g**2 - 76*g + 2. Factor w(s).
-2*(s + 3)**2*(s + 8)**2
Let c = 27610 - 27610. Let -4/7*x**3 + 0*x**2 - 6/7*x**4 - 2/7*x**5 + c*x + 0 = 0. What is x?
-2, -1, 0
Let f(r) be the third derivative of r**7/2940 + r**6/420 + r**5/140 + r**4/84 + 3*r**3/2 - 7*r**2. Let h(u) be the first derivative of f(u). Factor h(v).
2*(v + 1)**3/7
Suppose -25 = d - 10. Let w be (-30)/(-9)*(-12)/d. What is o in 0*o**2 + w*o - 4/3*o**4 + 4/3 - 8/3*o**3 = 0?
-1, 1
Let y(b) be the second derivative of b**8/6720 + b**7/672 - 3*b**3/2 - 5*b. Let d(q) be the second derivative of y(q). Factor d(i).
i**3*(i + 5)/4
Let u = -243 - -243. Let p(w) be the second derivative of u + w**2 + 1/30*w**5 + 7/9*w**3 + 5*w + 5/18*w**4. Factor p(n).
2*(n + 1)**2*(n + 3)/3
Let r be (-2 - 5/(-2))/(4/(-136)). Let v be r/(-1*(-8)/(-4)). Find z, given that -6*z**2 - 3 + v*z = 0.
2/3, 3/4
Let t(k) be the first derivative of k**5 - 2*k**4/3 + 4*k + 15. Let z(n) be the first derivative of t(n). Find s, given that z(s) = 0.
0, 2/5
Let a(l) be the first derivative of l**3/18 - 5*l**2/2 - 33*l/2 + 542. Factor a(m).
(m - 33)*(m + 3)/6
Let x(d) be the third derivative of 2/45*d**5 + 1/90*d**6 + 0*d + 0 + 0*d**3 - 7*d**2 - 2/315*d**7 + 0*d**4. Factor x(u).
-4*u**2*(u - 2)*(u + 1)/3
Let x = 1359 + -27179/20. Let j(t) be the third derivative of -x*t**5 - 1/2*t**3 + 0*t + 1/4*t**4 + 12*t**2 + 0. Let j(w) = 0. Calculate w.
1
Let w(h) = -5*h**2 + 4*h - 7. Let j(a) = -4*a**2 + 3*a - 5. Let n(u) = -4*j(u) + 3*w(u). Determine y, given that n(y) = 0.
-1, 1
Let y(m) be the third derivative of 0*m**7 + 0 + 0*m + 0*m**3 + 1/2520*m**8 - 41*m**2 + 0*m**4 + 0*m**5 - 1/900*m**6. Suppose y(f) = 0. What is f?
-1, 0, 1
Factor 13/6 - 2*s - 1/6*s**2.
-(s - 1)*(s + 13)/6
Suppose -2*q + 6 = q. Find b such that 28*b**2 + 29*b**q + 1029 + 19*b + 3*b**3 + 6*b**2 + 422*b = 0.
-7
Solve 24/7 + 46/7*r**2 + 2/7*r**4 - 16/7*r**3 - 8*r = 0 for r.
1, 2, 3
Let i(s) be the second derivative of -1/20*s**5 + 0 + 0*s**3 - 4*s + 0*s**2 - 1/4*s**4. Determine c so that i(c) = 0.
-3, 0
Let n(f) be the third derivative of 0*f + 0*f**6 - 1/840*f**7 + 0 + 1/240*f**5 - 3*f**2 + 0*f**3 + 0*f**4. Factor n(j).
-j**2*(j - 1)*(j + 1)/4
Let c(b) be the first derivative of -b**4 + 11/9*b**3 + 1/3*b**2 - 1/3*b - 31. Factor c(s).
-(s - 1)*(3*s + 1)*(4*s - 1)/3
Suppose -42 = 16*l - 90. Let f(z) be the second derivative of 1/4*z**2 + 0 - 6*z - 1/24*z**l - 1/48*z**4. Find b, given that f(b) = 0.
-2, 1
Let u(q) be the third derivative of -1/4*q**4 - 1/120*q**6 + 2*q**2 + 0*q - 3/40*q**5 + 2/3*q**3 + 0. Let z(i) be the first derivative of u(i). Factor z(v).
-3*(v + 1)*(v + 2)
Let x be (20/(-16) - 459/(-108)) + 5/(-2). Suppose x*m - 1/2*m**2 - m**3 + 0 = 0. What is m?
-1, 0, 1/2
Let q(g) = -4*g**3 + 8*g**2 + 20*g - 8. Let c(p) = -p + 1. Let a(u) = 8*c(u) + q(u). Let a(v) = 0. What is v?
-1, 0, 3
Suppose -2*y = -3*y + 10. Let -10*a - 5*a**2 + 10*a - y*a = 0. Calculate a.
-2, 0
Let w = -484/45 + 104/9. Let c = 13/20 + -1/4. Factor -c*a + w*a**2 - 2/5*a**3 + 0.
-2*a*(a - 1)**2/5
Let m(v) be the third derivative of -7*v**5/120 + 19*v**4 - 65*v**3/3 - 15*v**2 + 10. Find c such that m(c) = 0.
2/7, 130
Factor 1/2*i**2 - 1/4*i**3 - 2 + i.
-(i - 2)**2*(i + 2)/4
Let n be 1 + -3 + 7511/58. Let k = n + -126. Factor 1 + 1/2*r**4 - k*r**2 + 1/2*r - 1/2*r**3.
(r - 2)*(r - 1)*(r + 1)**2/2
Let s(a) be the first derivative of a**6/360 - a**5/60 + a**4/24 - 38*a**3/3 - 3. Let k(o) be the third derivative of s(o). What is w in k(w) = 0?
1
Let u(a) = 4*a**2 - 100*a - 120. Let x(v) = -v**2 + 20*v + 24. Let f(z) = 3*u