- 12*v(o). Factor s(c).
-4*(c + 2)**2
Suppose -146/9*c + 4/9*c**2 + 140/9 + 2/9*c**3 = 0. What is c?
-10, 1, 7
Let r(x) be the second derivative of -x**6/40 + 9*x**5/80 + 3*x**4 - 13*x**3/2 - 36*x**2 - 159*x - 1. Suppose r(v) = 0. Calculate v.
-6, -1, 2, 8
Let v(u) = u**3 + 26*u**2 + 25*u + 6. Let d(g) be the second derivative of -g**4/12 + g**3/3 + g**2 + 24*g - 1. Let r(i) = -6*d(i) - v(i). Factor r(h).
-(h + 1)**2*(h + 18)
Let a be (-1912)/78 + 8 + (-156)/24. Let d = a + 151/6. Factor -d*w + 34/13*w**2 + 10/13*w**3 - 16/13.
2*(w - 1)*(w + 4)*(5*w + 2)/13
Let t(g) be the third derivative of -121*g**7/42 + 275*g**6/8 - 191*g**5/4 - 625*g**4/24 - 5*g**3 - 54*g**2 + 13. Let t(m) = 0. Calculate m.
-1/11, 1, 6
Let h(k) be the third derivative of 0*k**3 - 2/1995*k**7 - 2*k - 1/380*k**6 + 1/3192*k**8 + 38*k**2 + 0 + 1/57*k**4 + 2/285*k**5. Factor h(d).
2*d*(d - 2)**2*(d + 1)**2/19
Solve 9/8*r**2 + 237/8*r + 777/4 = 0 for r.
-14, -37/3
Let z be 15 - (7839/(-12))/(-67). Factor -z + 6*q - 3/2*q**3 + 39/4*q**2.
-3*(q - 7)*(q + 1)*(2*q - 1)/4
Suppose -48*t = -23*t - 50. Suppose 4*a = s - 23, -a - 2*a - 3 = 4*s. Factor 2 - z**s + 3 - 2*z**t - 5 + 3*z.
-z*(z - 1)*(z + 3)
Let d(h) be the third derivative of h**7/21 + 7*h**6/60 - 23*h**5/30 + 5*h**4/12 + 2*h**3 + 2*h**2 + 173. Factor d(j).
2*(j - 1)**2*(j + 3)*(5*j + 2)
Let i(r) be the first derivative of -r**4/72 + 4*r**3/9 + 17*r**2/12 - 76*r - 22. Let j(k) be the first derivative of i(k). Find m, given that j(m) = 0.
-1, 17
Let m(o) be the second derivative of -o**6/60 - 17*o**5/120 - 7*o**4/24 + o**3/4 - 3535*o. Factor m(f).
-f*(f + 3)**2*(3*f - 1)/6
Let 16/15*b - 14/15*b**2 + 0 - 2/15*b**3 = 0. Calculate b.
-8, 0, 1
Suppose 2*z - 20 = -2*c, c - 12 + 44 = 5*z. Let i be ((-21)/12)/z*2688/(-196). Factor -i*u + 44/7*u**2 + 4/7*u**4 + 0 - 24/7*u**3.
4*u*(u - 3)*(u - 2)*(u - 1)/7
Factor 972079 - 39*k - 972051 + 3*k**2 - k**3 + 9*k**2.
-(k - 7)*(k - 4)*(k - 1)
Let x = -2527 - -4047. Let x*t + 5*t**3 - 203*t - 2000 + 40*t + 843*t - 205*t**2 = 0. Calculate t.
1, 20
Let p(a) be the third derivative of a**7/1400 + a**6/300 - 3*a**5/40 + 27*a**3 + 88*a**2. Let r(z) be the first derivative of p(z). Factor r(t).
3*t*(t - 3)*(t + 5)/5
Suppose 1/8*s**3 - 127/4*s - 41/8*s**2 + 138 = 0. What is s?
-8, 3, 46
Find t, given that -t**2 + 27*t**2 - 24*t**2 + 4 + 8*t + 2*t**2 = 0.
-1
Solve -16*c**2 + 11598*c**4 + 92*c - 11603*c**4 - 55*c**3 + 360 + 218*c - 90*c - 54*c**2 = 0.
-9, -2, 2
Let w be ((-132)/(-242) - (-42)/(-77))*1/(-5). Let m(r) = -r**3 - 20*r**2 + 17*r - 82. Let k be m(-21). Factor w - 10/7*i**k - 8/7*i**3 - 2/7*i**4 - 4/7*i.
-2*i*(i + 1)**2*(i + 2)/7
Let x(g) be the third derivative of g**5/300 - 19*g**4/120 - 11*g**3/5 + 2652*g**2. Factor x(o).
(o - 22)*(o + 3)/5
Let l(a) = a**2 - 19*a - 109. Let m be l(-5). Suppose 5*q + 2*u = 20, 14*q - 5*u + 19 = m*q. Find b, given that 0*b - 4/15*b**3 - 2/15 + 2/5*b**q = 0.
-1/2, 1
Let h(a) be the second derivative of -a**4/24 + 11*a**3/12 - 15*a**2/2 - 1185*a. Factor h(z).
-(z - 6)*(z - 5)/2
Let f(l) be the third derivative of 3/10*l**3 - 2 - 7/30*l**4 + 0*l + 14*l**2 + 1/100*l**5. Factor f(u).
(u - 9)*(3*u - 1)/5
Let t(v) be the third derivative of v**5/75 + 17*v**4/30 - 112*v**3/5 + 2345*v**2. Factor t(z).
4*(z - 7)*(z + 24)/5
Let j(d) be the first derivative of d**6/900 + d**5/450 - d**4/180 - d**3/45 - 163*d**2/2 - 39. Let x(p) be the second derivative of j(p). Solve x(s) = 0.
-1, 1
Let l = 1519634/11 - 138148. Suppose 2/11*p**2 + l*p + 0 = 0. What is p?
-3, 0
Let v = -3 - -36. Let l = -31 + v. Let 5*m**3 + 10*m**l + 13*m**2 - 8*m**2 = 0. What is m?
-3, 0
Let y = -37448 - -3932041/105. Let t(v) be the third derivative of 0*v - y*v**5 - 1/21*v**4 + 31*v**2 - 2/21*v**3 + 0. Factor t(a).
-4*(a + 1)**2/7
Let d = 1650426/4538611 + -2/412601. Factor -d*q**4 + 0*q - 2/11*q**5 + 0 + 0*q**3 + 0*q**2.
-2*q**4*(q + 2)/11
Suppose 28*q = -219*q. Let i(g) be the third derivative of 0*g - 22*g**2 + 0*g**3 + 1/4*g**4 + q - 1/15*g**5 - 1/60*g**6. Factor i(d).
-2*d*(d - 1)*(d + 3)
Let b(m) be the third derivative of 23*m**8/840 - 2*m**7/525 - 23*m**6/150 + 2*m**5/75 + 23*m**4/60 - 2*m**3/15 + 952*m**2. Suppose b(t) = 0. Calculate t.
-1, 2/23, 1
Let v(h) be the first derivative of -1/6*h**3 + 3/8*h**2 - 1/16*h**4 + 0*h + 19. Find y such that v(y) = 0.
-3, 0, 1
Let r(o) be the first derivative of -16/21*o**3 + 1/420*o**6 + o**2 + 1/30*o**5 - 27 + 0*o + 2/21*o**4. Let h(y) be the second derivative of r(y). Factor h(s).
2*(s - 1)*(s + 4)**2/7
Let 4*s - 772*s**2 + 5*s**3 - 259 + 1031 - 9*s**3 = 0. What is s?
-193, -1, 1
Let a(q) be the first derivative of q**3/6 + 15*q**2/2 - 31*q/2 - 1107. Determine v so that a(v) = 0.
-31, 1
Let q be (42/35)/((40/(-25))/(-1)). Let p(f) be the first derivative of -1/12*f**3 - 1/4*f**2 + 19 + q*f. Factor p(r).
-(r - 1)*(r + 3)/4
Let w(l) be the second derivative of l**6/6 - 25*l**5/4 - 105*l**4/2 + 18130*l**3/3 - 116620*l**2 - 3964*l. Factor w(y).
5*(y - 14)**3*(y + 17)
Let y(s) = -7*s - 161. Let q be y(-24). Suppose -q*z - 402 + 423 = 0. Let 8/7*j**2 - 6/7*j + 0 - 2/7*j**z = 0. Calculate j.
0, 1, 3
Suppose -h + 2*d + 32 = 0, 5*h + d = 121 - 5. Suppose 9*w + h*w = 132. Let 1/5 + 2/5*o**3 + 1/5*o**w - 1/5*o - 1/5*o**5 - 2/5*o**2 = 0. Calculate o.
-1, 1
Let w(a) = 4*a**2 - a - 5. Let d be (-2)/2 + (-10)/5*-8. Suppose 0 = 7*i - 4*i - d. Let n(r) = -6*r**2 + 2*r + 8. Let c(o) = i*n(o) + 8*w(o). Factor c(z).
2*z*(z + 1)
Suppose 5*c = 4*c + 11. Suppose -16*x + 10 = -c*x. Factor -7*l**3 - 4*l**3 - 6*l**x - 3*l**4 - 4*l**3 + 6*l**3.
-3*l**2*(l + 1)*(l + 2)
Let y be (-72)/(-63) + ((-161892)/4284 - -37). Suppose 0*p - y*p**2 + 0 - 2/17*p**3 = 0. Calculate p.
-3, 0
Let u(s) be the first derivative of -2*s**5/5 - s**4 + 32*s**3/3 + 32*s**2 - 7444. Factor u(z).
-2*z*(z - 4)*(z + 2)*(z + 4)
Let m = -190 - -318. Find z, given that -m*z**4 - 4*z + z**3 + 4*z + 2*z**3 + 129*z**4 = 0.
-3, 0
Let t be 0*((-3883)/66 + 59). Factor -14/13*x**2 - 12/13*x + t - 2/13*x**3.
-2*x*(x + 1)*(x + 6)/13
Let r be (((-2584)/102 - -27) + (-5)/(-2))*3. Let q(v) be the first derivative of -5/4*v**4 - 5/3*v**3 + r*v**2 - 12 - 15*v. Solve q(y) = 0.
-3, 1
Let w = -25840 + 25846. Let r(i) be the first derivative of -16 + 10/3*i**3 + 0*i**2 - 2*i**5 + 0*i - 5/4*i**4 + 5/6*i**w. What is m in r(m) = 0?
-1, 0, 1, 2
Let v(k) = -66*k - 63. Let j be v(-16). Let p = j - 991. What is h in 2/3*h**p + 32/3*h + 128/3 = 0?
-8
Suppose w = 8*f - 12, 16 + 32 = -3*f + 3*w. Factor -3/2*s**f + 0 + 0*s + 3/2*s**2 + 0*s**3.
-3*s**2*(s - 1)*(s + 1)/2
Let d be 6/8 - 4*4166/32. Let w = d + 536. Suppose 0*i - 8/3*i**2 - 14*i**4 - w*i**3 + 98/3*i**5 + 0 = 0. What is i?
-2/7, 0, 1
Let r(f) be the second derivative of 1/24*f**6 - 5/3*f**3 + f**2 + 0 - 32*f + 1/6*f**5 - 5/24*f**4. Let c(x) be the first derivative of r(x). Factor c(v).
5*(v - 1)*(v + 1)*(v + 2)
Factor 14991*i - 16461*i + 3766*i**3 - 2178 - 3768*i**3 - 254*i**2.
-2*(i + 3)**2*(i + 121)
Let r(w) be the third derivative of -w**6/300 + 7*w**5/50 + 3*w**4/4 + 23*w**3/15 - 3*w**2 - 136. Let r(u) = 0. Calculate u.
-1, 23
Let 2/3*b**3 - 56/3 + 26*b - 8*b**2 = 0. Calculate b.
1, 4, 7
Let r(f) be the third derivative of 2*f**5 - 175*f**4/24 + 55*f**3/6 + 32*f**2. Let s(i) = -11*i**2 + 16*i - 5. Let z(b) = -6*r(b) - 65*s(b). Factor z(p).
-5*(p - 1)**2
Let t(o) be the second derivative of -35*o + 1/75*o**5 + 1 + 4/15*o**4 + 0*o**3 - 35/2*o**2. Let m(r) be the first derivative of t(r). What is p in m(p) = 0?
-8, 0
Let j be (-2)/6*(-7 + 95/15)*9. Let z(o) be the second derivative of -21*o + 9/7*o**j - 5/42*o**4 + 0 + 1/70*o**5 + 1/7*o**3. Factor z(i).
2*(i - 3)**2*(i + 1)/7
Let q = -12604 + 88276/7. Let 3/7*h**5 - q*h**2 - 18/7*h**4 - 6/7 + 27/7*h + 6*h**3 = 0. What is h?
1, 2
Let l be ((-10)/(-20))/(1/8). Factor -4*u**5 + 8*u**3 + 4 + 0*u**l + u**4 - 4*u - u**4 - 8*u**2 + 4*u**4.
-4*(u - 1)**3*(u + 1)**2
Let w(l) = -l**3 + 4*l + 2. Let j be w(-3). Suppose -j + 5 = -6*i. Find y, given that 11 - 4*y**i - 2*y - y + 9 - 13*y = 0.
-5, 1
Solve -78/7*b - 318/7*b**3 + 0 + 333/7*b**2 + 9*b**4 = 0.
0, 1/3, 1, 26/7
Let o(z) be the third derivative of -z**7/210 + 13*z**6/120 - 13*z**5/20 + 9*z**4/8 - 1726*z**2. What is w in o(w) = 0?
0, 1, 3, 9
Let q(r) be the third derivative of -