*y = 0.
-2, 4/5, 2
Let 2/5 + 18/5*o**3 - 9/5*o - 4/5*o**2 - 9/5*o**5 + 2/5*o**4 = 0. Calculate o.
-1, 2/9, 1
Suppose -3*s + 10/3 - 1/3*s**2 = 0. What is s?
-10, 1
Let q(b) be the second derivative of -2*b**7/21 - 2*b**6/15 + 144*b. Factor q(z).
-4*z**4*(z + 1)
Let r = -5103 + 20413/4. Solve -1/2*l**3 + l**2 - r*l**4 - 3/4 + 1/2*l = 0 for l.
-3, -1, 1
Suppose -f + 4 = -2*d + 3, -4*d + f = -1. Suppose 3 = b + d. What is y in -6*y**3 - 2 - 7*y**3 - 13*y**2 + 16*y**4 - b + 16*y - 4*y**5 = 0?
-1, 1/2, 2
Let w(d) be the second derivative of -27*d + 1/12*d**4 + 1/10*d**5 + 0*d**3 + 0*d**2 + 1/30*d**6 + 0. Determine c so that w(c) = 0.
-1, 0
Let z(x) be the third derivative of x**8/560 - x**6/120 - 13*x**3/6 - 14*x**2. Let f(k) be the first derivative of z(k). Solve f(y) = 0.
-1, 0, 1
Let m(l) be the third derivative of l**8/112 - 13*l**7/70 + 3*l**6/10 - 312*l**2. What is t in m(t) = 0?
0, 1, 12
Let y = 19 + -17. Let -11 - 28*j**y - 14*j**2 + 8*j - 41*j + 5 = 0. What is j?
-1/2, -2/7
Solve 530604 - 15606*j - 1/2*j**3 + 153*j**2 = 0.
102
Let s(x) = -21*x**3 + 27*x**2 - 6*x + 6. Let p(h) = 44*h**3 - 56*h**2 + 12*h - 11. Let j(r) = -6*p(r) - 11*s(r). Determine g, given that j(g) = 0.
0, 2/11, 1
Suppose 156 = -3*w + 156. Let m = 253 + -253. Suppose w*n - 1/5*n**5 + m*n**4 + 0*n**2 + 0 + 1/5*n**3 = 0. What is n?
-1, 0, 1
Let h(t) be the third derivative of -t**7/735 - t**6/105 + 3*t**5/35 - 5*t**4/21 + t**3/3 - 16*t**2 - 2. Suppose h(w) = 0. Calculate w.
-7, 1
Suppose -12*l = -15*l + 15. Suppose s = -2*i, i - l*s = -i. Factor i - 3/7*q**5 + 6/7*q**2 + 3/7*q + 0*q**3 - 6/7*q**4.
-3*q*(q - 1)*(q + 1)**3/7
Let i(s) = 4*s**2 + 8*s - 112. Let z(c) = -c - 3. Let x(t) = -i(t) + 16*z(t). Solve x(a) = 0.
-8, 2
Factor 4 + 26/3*t + 8/3*t**2 - 2*t**3.
-2*(t - 3)*(t + 1)*(3*t + 2)/3
Factor -23*n**2 + 10*n**2 + 11*n**2 + 7 + 1 + 6*n.
-2*(n - 4)*(n + 1)
Let k(m) be the third derivative of -m**7/315 + 7*m**6/90 - 2*m**5/15 - 7*m**4/18 + 13*m**3/9 - 2*m**2 + 170*m. Find x such that k(x) = 0.
-1, 1, 13
Factor -24 - 7*k - 99*k**2 + 108*k**2 - 21*k + 3*k**3 + 10*k.
3*(k - 2)*(k + 1)*(k + 4)
Suppose 117*d - 630 = -45. Factor -4/3*h**4 - 2/3*h**d + 0 - 2/3*h**3 + 0*h + 0*h**2.
-2*h**3*(h + 1)**2/3
Let v(q) = q**2 - 14*q + 26. Let h be v(12). Suppose -h*n = 9 - 15. Factor 0 + c**2 + 1/2*c + 1/2*c**n.
c*(c + 1)**2/2
Find r, given that 0 - 1/11*r**5 + 9/11*r**2 - 1/11*r**4 + 9/11*r**3 + 0*r = 0.
-3, -1, 0, 3
Suppose 26*i + 1/3*i**2 + 507 = 0. Calculate i.
-39
Let u(z) be the first derivative of 21 + 0*z + z**3 - 3/2*z**2. Let u(w) = 0. What is w?
0, 1
Factor -16/5*d - 12/5 - 4/5*d**2.
-4*(d + 1)*(d + 3)/5
Let l(v) be the third derivative of -1/360*v**5 - 1/9*v**3 + 0 + 31*v**2 + 0*v - 1/36*v**4. Factor l(d).
-(d + 2)**2/6
Let k be (1 - -1*4) + 3. Suppose k = -0*f + 4*f. Suppose f*l + 2*l**2 + 13 + 2*l - 11 = 0. Calculate l.
-1
Let g(a) = a**3 + 13*a**2 - 2*a - 6. Let v be g(-13). Solve -20*o - 210*o**4 + 75*o**5 + 5*o**2 - 81*o**2 - v*o**5 + 235*o**3 + 16*o**2 = 0.
-2/11, 0, 1, 2
Let w(j) be the third derivative of 0 + 8/15*j**5 + 0*j**7 + 19*j**2 + 0*j - 1/2*j**4 + 1/84*j**8 - 1/5*j**6 + 0*j**3. Determine p so that w(p) = 0.
-3, 0, 1
Suppose -l = -3*w - 10, l - 13 = 5*w + 5. Let j be (-186)/(-806)*w/(-6). Determine x so that 4/13*x + 0 - 4/13*x**3 + 2/13*x**4 - j*x**2 = 0.
-1, 0, 1, 2
Let v(l) be the second derivative of l**5/130 + 7*l**4/26 - 15*l**3/13 + 23*l**2/13 - 48*l. Suppose v(b) = 0. What is b?
-23, 1
Let d(c) = -c**4 - c**3 - c**2 - 2*c. Let b(o) = -10*o**4 - 49*o**3 - 46*o**2 + 10*o + 12. Let h(w) = -b(w) - 5*d(w). Find m such that h(m) = 0.
-2, -1, 2/5
Suppose 0 = -2*z + 7*z + 5. Let j be -3*z*(-2)/(-3). Factor 0*n**5 + 86*n**4 + 8*n**j + 4*n - 4*n**5 - 94*n**4.
-4*n*(n - 1)*(n + 1)**3
Let p(s) = -6*s**3 + s**2 + 11*s + 10*s**2 + 0*s - 8. Let o(d) = 2*d**3 - 4*d**2 - 4*d + 3. Let u(v) = 8*o(v) + 3*p(v). Factor u(n).
-n*(n - 1)*(2*n + 1)
Suppose 4*o**2 - 15*o + 3*o + 4 - 16 - 4 = 0. Calculate o.
-1, 4
Let h(p) = 100*p**2 - 10*p. Suppose 5*s - 2 = 3, 4*s = -y - 31. Let w(f) = -11*f**2 + f. Let b(j) = y*w(j) - 4*h(j). Factor b(o).
-5*o*(3*o - 1)
Factor -486 + 1044*w + 911*w - 2306*w - 3*w**3 - 60*w**2.
-3*(w + 2)*(w + 9)**2
Let j(r) be the third derivative of 10/3*r**4 + 0 + 8/15*r**5 - 49*r**2 + 1/30*r**6 + 0*r + 32/3*r**3. Factor j(b).
4*(b + 2)**2*(b + 4)
Let f(z) be the second derivative of -z**7/49 + 6*z**6/35 - 39*z**5/70 + 6*z**4/7 - 4*z**3/7 - 4*z - 8. Suppose f(t) = 0. Calculate t.
0, 1, 2
Let b be ((-1)/2*0)/(2/1). Suppose j - 5*u - 20 = -0*j, -12 = -3*j + 3*u. Factor 1/3*s**3 + b + 0*s**2 + j*s.
s**3/3
Let q = 377 + -5654/15. Let d(c) be the second derivative of 0 + q*c**6 + 0*c**4 + 0*c**2 + 0*c**3 - 6*c - 1/5*c**5. Factor d(g).
2*g**3*(g - 2)
Suppose r + 88 = 5*d, 5*d - 82 = 3*r + r. Factor -19*i - 23*i**2 + d*i**2 - 21*i - 80.
-5*(i + 4)**2
Let q(a) = -26*a**3 + 51*a**2 - 24*a - 1. Let w(o) = 215*o + 7 + 189*o**3 + 46*o**3 - 124*o**2 + 3 - 336*o**2. Let y(k) = -55*q(k) - 6*w(k). Factor y(u).
5*(u - 1)**2*(4*u - 1)
Suppose 6*i + 9 = 9. Let q(z) be the second derivative of i + 0*z**2 + 7*z - 1/4*z**3 + 1/8*z**4. Factor q(w).
3*w*(w - 1)/2
Let p(o) be the third derivative of o**5/20 - 35*o**4/8 + 17*o**3 - 17*o**2 + 2. Find c such that p(c) = 0.
1, 34
Suppose 55*t - 57*t = 5*d - 17, -d = 5*t - 8. Let k(a) be the second derivative of -a**2 + 1/6*a**4 + d*a + 0 + 0*a**3. Factor k(w).
2*(w - 1)*(w + 1)
Determine h, given that -24 - 9*h**5 - 60*h + 35*h**3 - 18*h**2 + 12*h**4 + 4*h**3 - 13*h**2 + 13*h**2 = 0.
-1, -2/3, 2
Suppose -3*v + 160 = -11*v. Let q be (v/(-5) - 5) + (-3)/(-2). Factor -q*o + 3/4 - 5/4*o**2.
-(o + 1)*(5*o - 3)/4
Suppose 0 = 18*r - 53 - 37. Factor -20*j**3 + j**4 - j**2 + 0*j**2 + 19*j**3 + j**r.
j**2*(j - 1)*(j + 1)**2
Let m be 1/((-1)/(-2))*(-6)/(-4). Suppose 35*p**4 - 24*p**m + 3*p - p**3 + 27*p - 5*p**5 - 27*p**2 - 8*p**2 = 0. Calculate p.
-1, 0, 1, 6
Let g(u) be the second derivative of -3*u**5/100 - 17*u**4/20 - 63*u**3/10 + 243*u**2/10 + 147*u - 2. Factor g(p).
-3*(p - 1)*(p + 9)**2/5
Let h be -2*(-14)/4 - 4983/755. Suppose 0*o + 2/5 - h*o**2 = 0. What is o?
-1, 1
Suppose v = 2*a + 2*a + 12, 36 = 3*v - 5*a. Let o = v + -8. Factor 5*i**2 - 2*i**o - 4*i**2 + i**2.
-2*i**2*(i - 1)*(i + 1)
Suppose 4*j + 6*o - 28 = 2*o, 0 = -2*o + 8. Suppose -y + 6 = x - 0, -4*y + j*x = 4. Suppose 8/7*g**y - 12/7*g + 4/7 = 0. What is g?
1/2, 1
Let u(g) be the third derivative of -g**6/360 - 4*g**3/3 - 3*g**2. Let m(i) be the first derivative of u(i). Suppose m(b) = 0. Calculate b.
0
Let q(b) be the third derivative of 2*b**7/105 + 104*b**6/5 + 48672*b**5/5 + 2530944*b**4 + 394827264*b**3 - 268*b**2. Factor q(s).
4*(s + 156)**4
Let n = 7463 + -7460. What is t in 8/5 + 2/5*t**n + 4/5*t**2 - 14/5*t = 0?
-4, 1
Determine y so that -8*y**4 - 29*y - 17 - 25*y - 34*y**3 + 28*y + 80*y**2 + 5 = 0.
-6, -1/4, 1
Factor 6*h**3 - 38*h**3 + 4*h**4 - 18*h**2 + 0*h**3 - 18*h**2.
4*h**2*(h - 9)*(h + 1)
Factor 0 - 2/13*i**2 + 20/13*i.
-2*i*(i - 10)/13
Let d be (-2)/4*(5 + -13). Let f(l) = -4*l**2 + 20*l - 40. Let o(z) = z + 1. Let n(a) = d*o(a) + f(a). Factor n(g).
-4*(g - 3)**2
Let w(d) be the second derivative of d**5/70 + 10*d**4/21 - d**3/21 - 20*d**2/7 - 10*d - 8. Factor w(f).
2*(f - 1)*(f + 1)*(f + 20)/7
Let o(w) be the first derivative of -2*w**5/105 + w**4/4 - 5*w**3/21 - 15*w**2/2 + 27. Let u(m) be the second derivative of o(m). Factor u(k).
-2*(k - 5)*(4*k - 1)/7
Solve -269*v**2 - 5*v**4 + 75*v**3 - 156*v + 640 - 109*v - 215*v + 39*v**2 = 0 for v.
-2, 1, 8
Let i be (-6 + 12)/((-3)/2) - -7. Let t(w) be the third derivative of 0*w**i - 1/20*w**5 - 3/8*w**4 + 0*w + 0 + w**2. Let t(h) = 0. What is h?
-3, 0
Let c = -37834 + 189801/5. Let b = -126 + c. Factor 1/5*i - b*i**2 - 1/5*i**3 + 1/5.
-(i - 1)*(i + 1)**2/5
Let d = 23 + -23. Suppose -5*j + 6 = 2*y, d*y - 3*j = -4*y + 12. Factor -2/5 + 2*m**y + 11/5*m - 19/5*m**2.
(m - 1)*(2*m - 1)*(5*m - 2)/5
Let r = -42 - -125. Factor 5*h**3 + 95*h**2 - r*h**2 + 3*h**3.
4*h**2*(2*h + 3)
Solve -1/5*d**3 - 2/5*d + 3/5*d**2 + 0 = 0 for d.
0, 1, 2
Let q be -4 - -1 - 102/(8/(-4)). Suppose -q = -11*f - f. What is r in 0*r**3 + 1/3*r**f - 1/3*r**2 + 0*r + 0 = 0?
-1, 0, 1
Let v(h) be the third derivative of 3*h**4 + 0*h - 7/12*h**6 + 40