6)*(-2 + 0). Factor -20 - h*z**3 - 100*z - 17*z**3 - 188*z**2 + 73*z**2.
-5*(z + 1)*(z + 2)*(7*z + 2)
Let a(p) be the first derivative of -p**3 - 21/10*p**5 + 0*p - 7 - 1/2*p**6 + 0*p**2 - 21/8*p**4. Suppose a(f) = 0. What is f?
-2, -1, -1/2, 0
Suppose -3*z + x = -19, 26*z - 29*z + 11 = x. Factor 0*q + 4/9*q**4 + 0*q**2 + 4/9*q**z + 0*q**3 + 0.
4*q**4*(q + 1)/9
Let m = -4/89 + -24823/178. Let x = m + 142. Factor x*p + 1/2*p**3 + 1 + 2*p**2.
(p + 1)**2*(p + 2)/2
Factor 220*t + 78*t**2 - 81*t**2 - 76*t.
-3*t*(t - 48)
Let z be ((-7)/4200)/(((-12)/15)/1). Let n(j) be the third derivative of 0*j**3 + z*j**5 + 10*j**2 + 0 + 0*j + 1/192*j**4. Factor n(c).
c*(c + 1)/8
Let f(w) = 3*w**2 + 2*w - 1. Let k(c) = -5*c**2 - 17*c + 38. Let l(n) = 6*f(n) + 3*k(n). Factor l(v).
3*(v - 9)*(v - 4)
Let y = 4 - 4. Let o be (-95)/(-60) - (y + (-4)/(-12)). Factor 1/4 + o*v**2 + 3/2*v.
(v + 1)*(5*v + 1)/4
Let l(h) be the first derivative of -h**4/16 - h**3/2 - 9*h**2/8 - h - 8. Solve l(w) = 0.
-4, -1
Let q(b) be the second derivative of -5*b**4/48 - 15*b**3/8 + 25*b**2/4 - 38*b. Suppose q(z) = 0. Calculate z.
-10, 1
Suppose -27 - 7 - n**2 - 2*n**2 + 21*n**3 - 21*n + 37 = 0. Calculate n.
-1, 1/7, 1
Let z = -89 - -86. Let t be -1 + 1/(21*z/(-99)). Let 1/7*n**2 + 4/7*n + t = 0. What is n?
-2
Suppose -4*y + 5*q - 3 = 0, -19*y + 24*y - 12 = q. Suppose 2/5*a - 2/5*a**y + 0 + 1/5*a**4 - 1/5*a**2 = 0. What is a?
-1, 0, 1, 2
Let k be (-54)/(-80) - (4/(-96)*-93 - 4). Factor 8/5*s - k*s**2 + 0.
-4*s*(s - 2)/5
Let j be 18*(-5)/(-10) + 4365/(-495). Factor -j*t**2 - 40/11*t - 200/11.
-2*(t + 10)**2/11
Let 17*l + 0*l**2 - 132 + 4*l**2 + 0*l**2 - 49*l = 0. What is l?
-3, 11
Let i(t) be the first derivative of 2*t**3/15 - 21*t**2/5 - 9. Determine s so that i(s) = 0.
0, 21
Let g(r) be the third derivative of 0*r + 5/3*r**4 + 18*r**2 + 0*r**3 - r**5 + 0 + 1/4*r**6 - 1/42*r**7. Find y, given that g(y) = 0.
0, 2
Suppose -4*s = -6*s - 8. Let i be 6/(-9) - s/6. Determine f so that i*f + 0 - 1/4*f**4 + 1/4*f**5 - 1/4*f**3 + 1/4*f**2 = 0.
-1, 0, 1
Let l(z) be the first derivative of -12167*z**4/4 - 1058*z**3 - 138*z**2 - 8*z + 27. Let l(t) = 0. Calculate t.
-2/23
Let s(a) be the third derivative of a**8/131040 + a**7/16380 - a**6/1560 - 7*a**5/60 + 20*a**2. Let t(o) be the third derivative of s(o). Factor t(w).
2*(w - 1)*(w + 3)/13
Let x be (40/105)/(50/175). Factor -1/3 + 4/3*i**4 - i**2 - 4/3*i + x*i**3.
(i - 1)*(i + 1)*(2*i + 1)**2/3
Let q(b) be the second derivative of b**4/102 - 52*b**3/51 - 108*b**2/17 - 636*b. Let q(p) = 0. Calculate p.
-2, 54
Suppose 265*z**4 + 305*z + 5*z**5 - 260*z**3 + 3600 + 6975*z + 2180*z**3 + 5560*z**2 = 0. What is z?
-45, -2
Let w(c) = -2*c**3 + 11*c**2 + 9*c + 12. Let k be w(6). Find j such that -24*j**5 + k*j**3 - 8*j**4 - 5 + 15*j**2 - 7*j + 2 + j - 4*j**4 = 0.
-1, -1/2, 1/2, 1
Let y(g) be the second derivative of -g**5/70 + 2*g**4/7 - g**3 + 10*g**2/7 + 2*g - 5. Solve y(d) = 0 for d.
1, 10
Let m be 69/(-6)*-1 + 2/4. Factor -11 - 3*o**3 - 4 - 5*o - 4*o**3 + m*o**3 + 15*o**2.
5*(o - 1)*(o + 1)*(o + 3)
Let k(z) be the second derivative of z**4/48 - z**3/24 - 78*z. Factor k(n).
n*(n - 1)/4
Let i(c) be the first derivative of c**4/5 - 4*c**3 + 235. Let i(j) = 0. What is j?
0, 15
Find t, given that 468*t + 14*t**4 - 34*t**4 + 100 - 57*t**3 - 316 - 42*t**2 + 14*t**4 = 0.
-6, 1/2, 2
Let c = -4 - -7. Determine b, given that -4*b**c + 12*b**3 - 12*b**2 - 9*b + 8 - 3*b = 0.
-1, 1/2, 2
Let g = -3550 - -117160/33. Let o = 1/33 + g. Solve 0*c**2 + 1/3*c**3 - o*c + 0 = 0 for c.
-1, 0, 1
Let b(u) = -330*u + 565. Let d(n) = -n**2 + 324*n - 568. Let r(y) = -4*b(y) - 5*d(y). Factor r(i).
5*(i - 58)*(i - 2)
Let n be (-253)/11 - (-1)/(-1). Let r = n - -97/4. Factor -1/2*q + 1/4*q**2 + 0 + r*q**3.
q*(q - 1)*(q + 2)/4
Let r(p) = -8*p**3 - 32*p**2 - 68*p + 8. Let d(k) = -7*k**3 - 32*k**2 - 67*k + 6. Let v(c) = 4*d(c) - 3*r(c). Factor v(s).
-4*s*(s + 4)**2
Let h(w) be the first derivative of 0*w**2 + 0*w - 8/9*w**3 - 2/15*w**5 + 2/3*w**4 - 20. Factor h(f).
-2*f**2*(f - 2)**2/3
Find b such that 2/5*b**4 + 0 + 64/5*b**3 + 0*b + 174/5*b**2 = 0.
-29, -3, 0
Let k(a) be the second derivative of -1/70*a**6 + 0*a**2 - 1/98*a**7 - 5*a + 1/28*a**4 + 0 + 3/140*a**5 + 0*a**3. Factor k(h).
-3*h**2*(h - 1)*(h + 1)**2/7
Factor -30*j**2 + 65*j - 39*j**2 - 16*j**2 + 35*j**3 - 15.
5*(j - 1)**2*(7*j - 3)
Let m = -926/3 - -310. Let s(w) be the first derivative of -2*w - 5 - 3/4*w**4 + 5/2*w**2 + m*w**3. Factor s(y).
-(y - 2)*(y + 1)*(3*y - 1)
Let p = -635 - -635. Suppose 0 - 1/3*n**4 + 0*n**3 + p*n + 1/3*n**2 = 0. What is n?
-1, 0, 1
Let i(j) be the first derivative of 1/160*j**5 + 0*j + 13 + 0*j**2 + 1/1440*j**6 + 0*j**4 + 13/3*j**3. Let t(r) be the third derivative of i(r). Factor t(q).
q*(q + 3)/4
Let w = -16 + 20. Solve -4*a**2 - w*a**3 + 6*a**4 - 12*a**4 + 5*a**4 = 0 for a.
-2, 0
Suppose 6*t = 3*t - 60. Let x(g) = g**2 + 18*g - 28. Let b be x(t). Factor 4*z**3 + 2 + b*z**2 + z**3 + 6*z**5 - 3*z**3 + 2*z**3 - 10*z - 14*z**4.
2*(z - 1)**3*(z + 1)*(3*z - 1)
Let f be (8/116 - 4142/(-3857))/(4/14). Determine c so that 1/4*c - 7/4*c**3 - 1/2*c**2 - c**f + 0 = 0.
-1, 0, 1/4
Let r be 2/6 - ((-141)/9 - 1). Suppose 4*z = -2*a - 3 + r, -3*a = -z. Solve -2/11*u**2 + 0 + 2/11*u + 2/11*u**4 - 2/11*u**z = 0.
-1, 0, 1
Factor 18/23*c**2 + 16/23*c**3 + 0*c + 0 - 2/23*c**4.
-2*c**2*(c - 9)*(c + 1)/23
Solve 6/5*w**4 + 2/15*w**5 + 112/15*w**2 + 32/15 + 64/15*w**3 + 32/5*w = 0 for w.
-2, -1
Let y(x) be the first derivative of x**3/2 + 183*x**2/4 - 93*x + 249. Factor y(z).
3*(z - 1)*(z + 62)/2
Let z(x) be the first derivative of -x**8/840 - x**7/70 + x**6/180 + x**5/10 - 41*x**3/3 - 27. Let k(s) be the third derivative of z(s). Solve k(o) = 0.
-6, -1, 0, 1
Let h be (96/(-14))/(-2) + (-14 - -14)/(-23). What is l in 2/7*l + h - 2/7*l**3 - 24/7*l**2 = 0?
-12, -1, 1
Suppose -11*k + 14*k + 48*k**3 + 3*k + 15*k + 114*k**2 - 45 = 0. What is k?
-15/8, -1, 1/2
Let u = -993 - -3993/4. Suppose 29*n = 15*n. Factor 3/2*l**2 + u*l**3 + 0 + n*l.
3*l**2*(7*l + 2)/4
Let o(q) = -q**2 - 29*q + 28. Let n(x) = 4*x**2 + 117*x - 112. Let i(t) = -2*n(t) - 9*o(t). Suppose i(w) = 0. What is w?
-28, 1
Let l(g) be the first derivative of g**8/3024 - g**7/1890 - g**6/360 + g**5/108 - g**4/108 - 7*g**2 + 1. Let q(i) be the second derivative of l(i). Factor q(v).
v*(v - 1)**3*(v + 2)/9
Let r(g) be the second derivative of -g**6/60 - 67*g**5/40 - 253*g**4/4 - 3025*g**3/3 - 2662*g**2 - 27*g - 2. Solve r(l) = 0.
-22, -1
Let w(a) = 5*a - 93. Let q be w(19). Let y be q*(35/(-10) + 3) + 3. Let -33/4*k**3 + 0 + 0*k - 21/4*k**5 + 12*k**4 + 3/2*k**y = 0. Calculate k.
0, 2/7, 1
Let n(u) = 51*u - 555. Let l be n(11). Let w(i) be the first derivative of 0*i + 2*i**2 - 14/3*i**3 - l. Solve w(c) = 0.
0, 2/7
Let p(q) be the third derivative of 7/2*q**4 + 0*q + 0 + 49/8*q**3 + 1/280*q**7 - 18*q**2 + 39/40*q**5 + 1/10*q**6. Suppose p(n) = 0. What is n?
-7, -1
Let g = 323 + -165. Let p = -787/5 + g. Factor -p*w**3 + 0*w + 0 - 6/5*w**2.
-3*w**2*(w + 2)/5
Let i(m) = -5*m**3 + 4*m**2 + 5*m - 16. Let w(a) = -45*a**3 + 49*a + 21*a + 55*a**2 - 225 + 21*a**3 - 46*a**3. Let c(l) = -85*i(l) + 6*w(l). Factor c(p).
5*(p - 2)*(p - 1)*(p + 1)
Let b(p) be the third derivative of -4/21*p**3 + 0 + 11*p**2 + 11/210*p**5 + 0*p + 2/21*p**4 - 1/28*p**6. What is k in b(k) = 0?
-2/3, 2/5, 1
Let g(t) = 53*t + 3129. Let a be g(-59). Determine j so that -64*j + 512/3 + 8*j**a - 1/3*j**3 = 0.
8
Let a(f) be the first derivative of -1/35*f**5 + 8/21*f**3 - 12 + 0*f**4 + 0*f**2 + f. Let n(d) be the first derivative of a(d). Let n(x) = 0. What is x?
-2, 0, 2
Factor -2/11*d**3 + 2/11*d - 20/11 + 20/11*d**2.
-2*(d - 10)*(d - 1)*(d + 1)/11
Let r(y) be the third derivative of -y**7/70 + 3*y**6/8 - 39*y**5/20 + 37*y**4/8 - 6*y**3 + 37*y**2 - 4*y. Factor r(f).
-3*(f - 12)*(f - 1)**3
Let f(x) be the first derivative of -1/6*x**2 - 1/36*x**3 + 1/120*x**5 + 6 - 2*x + 1/36*x**4. Let l(c) be the first derivative of f(c). Factor l(m).
(m - 1)*(m + 1)*(m + 2)/6
Suppose 3*y + y = 2*y. Suppose 14 = -12*z + 19*z. Factor -4/3*j**4 - 14/3*j**5 + 0*j**z + 0 + 0*j**3 + y*j.
-2*j**4*(7*j + 2)/3
Let f be 3*4/(-30)*5*5. Let h be 120/(-100)*f/3. Factor -4/3*k**5 - 1/3*k + 0 + 4/3*k**h + k**3 - 2/3*k**2.
-k*(k - 1)