- 2*q - 1. Let s(i) = 2*i**2 + i - 1. Let a(b) = r(b) - 3*s(b). Factor a(o).
-(o - 2)*(o - 1)**2
Determine i so that -2/11*i**2 - 6/11*i + 56/11 = 0.
-7, 4
Let y = -2253 + 2257. Let 4/3*q + 4/3*q**y + 14/3*q**2 + 0 + 14/3*q**3 = 0. Calculate q.
-2, -1, -1/2, 0
Let t(u) be the third derivative of 0 + 0*u + 0*u**5 + 0*u**3 + 2/315*u**7 - 1/60*u**6 + 1/36*u**4 - 30*u**2. Suppose t(n) = 0. Calculate n.
-1/2, 0, 1
Factor -5/2 + 1/4*l**2 + 9/4*l.
(l - 1)*(l + 10)/4
Let b be 2 + 4*(0 - -1). Suppose 0*m - 2*m + b = 0. Factor 0*c + 0*c**m + 0 - 2/7*c**2 + 2/7*c**4.
2*c**2*(c - 1)*(c + 1)/7
Let k(n) = -86*n**3 + 126*n**2 - 42*n + 2. Let g(m) = m**3 - 1. Let t(l) = l**3 + 5*l**2 - 16*l - 15. Let w be t(-7). Let j(d) = w*k(d) + 2*g(d). Factor j(f).
2*(f - 1)*(4*f - 1)*(11*f - 2)
Let l = 6248/7 - 892. Factor 8/7*g**3 - 4/7 + 8/7*g**2 - 4/7*g - 4/7*g**5 - l*g**4.
-4*(g - 1)**2*(g + 1)**3/7
Factor -6/5*q - 1/10*q**2 + 14/5.
-(q - 2)*(q + 14)/10
Let v(j) be the first derivative of -j**5/15 - j**4/2 - 7*j**3/9 + j**2 + 8*j/3 + 294. Solve v(g) = 0.
-4, -2, -1, 1
Let b(t) be the second derivative of t**5/90 + t**4/6 + t**3 + 10*t**2 + 22*t. Let p(d) be the first derivative of b(d). Factor p(z).
2*(z + 3)**2/3
Suppose 8 = -4*j, 0 = -2*v - 136*j + 133*j - 2. Factor 2/11*w**4 + 0*w**v + 2/11*w**3 + 0*w + 0.
2*w**3*(w + 1)/11
Let q(r) be the second derivative of 2/9*r**3 - 1/9*r**6 - 1/18*r**4 - 3*r + 0 + 0*r**2 - 4/15*r**5. Determine j so that q(j) = 0.
-1, 0, 2/5
Suppose -4*g - v - 3 = 0, -125*v = 3*g - 124*v + 3. Solve 0 + g*c - 2/7*c**5 + 2*c**3 + 0*c**2 - 12/7*c**4 = 0.
-7, 0, 1
Let c(t) be the first derivative of -t**5/20 + 5*t**4 - 200*t**3 + 4000*t**2 - 40000*t - 55. Let c(k) = 0. What is k?
20
Let b(h) be the second derivative of -1/10*h**5 - 1/60*h**6 + 0 + 0*h**2 - 5*h - 1/6*h**3 - 5/24*h**4. Factor b(u).
-u*(u + 1)**2*(u + 2)/2
Let p(t) be the third derivative of 0 + 1/12*t**5 + 0*t - 1/120*t**6 - 7/24*t**4 + 1/2*t**3 - 11*t**2. Determine m, given that p(m) = 0.
1, 3
Let l(r) be the first derivative of r**4 + 316*r**3 + 37446*r**2 + 1972156*r + 27. Solve l(a) = 0 for a.
-79
Let i = -7 + 11. Let t be (-9)/(-6) + 9/6. Factor -8*d**4 + 8*d**2 + 221*d**t + 4*d**5 - 221*d**3 - i*d.
4*d*(d - 1)**3*(d + 1)
Let l(o) be the first derivative of -5*o**4/4 + 10*o**2 + 144. Factor l(r).
-5*r*(r - 2)*(r + 2)
Suppose 5*j - 115 = 5*b, -j - 3*b + 99 = 4*j. Let i be j/14*8/6. Solve -l**2 + 4*l**i - 8*l + 0*l + 2*l + 3*l**3 = 0 for l.
-2, 0, 1
Let f be (-11*8/(-308))/(6/42). Factor 2/9*d**4 + 4/9*d + 0*d**3 - 2/3*d**f + 0.
2*d*(d - 1)**2*(d + 2)/9
Solve -3/4*d**2 + 1/4*d**4 + 0 + 0*d - 1/2*d**3 = 0.
-1, 0, 3
Let y be (-6)/9 + 24/9. Factor -y*a**5 + 7*a**5 - 28*a**3 + 23*a**3 - 4*a**4 + 10*a**2 - 6*a**4.
5*a**2*(a - 2)*(a - 1)*(a + 1)
Let l(f) = f**4 - 30*f**3 - 108*f**2 + 222*f + 1299. Let o(d) = 12*d**4 - 330*d**3 - 1188*d**2 + 2444*d + 14290. Let g(p) = -68*l(p) + 6*o(p). Factor g(u).
4*(u - 3)*(u + 6)**3
Determine d so that 0 - 18/5*d**3 - 3/5*d**4 + 0*d**2 + 0*d = 0.
-6, 0
Let x(p) be the first derivative of -2*p**3/9 + 19*p**2/3 - 68*p/3 - 63. Factor x(h).
-2*(h - 17)*(h - 2)/3
Let k be (-44)/(-10) + 52/(-130). Let l be (0 - 1)*(2 - 2). Factor 3/7*m**5 + 0*m**3 + 0*m + 0 - 3/7*m**k + l*m**2.
3*m**4*(m - 1)/7
Let z(b) be the third derivative of b**7/630 + 19*b**6/180 + 11*b**5/5 + 9*b**4 - 326*b**2. Factor z(x).
x*(x + 2)*(x + 18)**2/3
Let d(y) = -y**3 + y**2 + 2*y. Let c(n) = -3*n**3 + 8*n**2 + 7*n - 4. Let g(p) = -c(p) + 4*d(p). Suppose g(x) = 0. What is x?
-4, -1, 1
Let n(h) be the first derivative of -h**4/26 + 8*h**3/39 - 4*h**2/13 - 6. Factor n(b).
-2*b*(b - 2)**2/13
Let k be 76/20 - (14/10)/(-7). Let q(r) be the second derivative of 4*r + 0 + 20/3*r**3 + 1/2*r**k - 7*r**5 - 49/15*r**6 - 4*r**2. Factor q(z).
-2*(z + 1)**2*(7*z - 2)**2
Let h(j) be the second derivative of 0 + 0*j**2 + 1/51*j**3 + 1/102*j**4 + 19*j. Factor h(k).
2*k*(k + 1)/17
Let x(g) be the first derivative of -g**5 + 10*g**4 + 115*g**3/3 - 75*g**2 + 240. Let x(h) = 0. What is h?
-3, 0, 1, 10
Factor 85*o - 127/3 + 1/3*o**3 - 43*o**2.
(o - 127)*(o - 1)**2/3
Factor 1/2*s**5 - 3/2*s**3 - 2*s + 0 + 4*s**2 - s**4.
s*(s - 2)*(s - 1)**2*(s + 2)/2
Let a(u) be the first derivative of -u**8/112 - 3*u**7/70 - u**6/20 + 5*u**2 + 9. Let j(f) be the second derivative of a(f). Solve j(p) = 0.
-2, -1, 0
Let b(p) be the second derivative of -p**6/60 - 19*p**5/2 - 9025*p**4/4 - 857375*p**3/3 - 81450625*p**2/4 + 294*p. Factor b(z).
-(z + 95)**4/2
Factor 1/11*g**2 - 7/11*g + 0.
g*(g - 7)/11
Factor -3*h - 13*h + 3*h**3 + 5*h + 21*h**2 - 13*h.
3*h*(h - 1)*(h + 8)
Let v(z) be the third derivative of -z**9/161280 + z**5/10 + 10*z**2. Let t(l) be the third derivative of v(l). Factor t(h).
-3*h**3/8
Let y be (-70)/(-2)*(2548/210 + -12). Let -4/3*i**2 + 26/3*i + y = 0. Calculate i.
-1/2, 7
Let r(k) be the first derivative of k**5 + 5*k**4/2 - 20*k**3 + 35*k**2 - 25*k - 343. Factor r(h).
5*(h - 1)**3*(h + 5)
Let t(k) = -k + 5 + 4 - 4 + 7. Let s be t(9). Let 19*u - 2 + 2*u**s - 3*u - 6*u**2 - 10*u = 0. What is u?
1
Let i(x) be the first derivative of 21 - 1/21*x**3 - 1/14*x**2 + 2/7*x. Factor i(c).
-(c - 1)*(c + 2)/7
Suppose -x = -3*s + 18, 3*x + s + 46 = 6*s. Let w be -2 - -9*(-8)/x. Suppose -2*t**5 + 2*t**2 - 2*t**4 + t**2 + t**2 - 2*t**w + 2*t = 0. Calculate t.
-1, 0, 1
Let m(x) = -x**2 + 13*x. Let h(l) = -3*l**2 + 39*l + 1. Let b(w) = 2*h(w) - 7*m(w). Let q be b(13). Factor 1/4*v**5 + 1/4*v**3 + 0*v**q + 0*v + 0 - 1/2*v**4.
v**3*(v - 1)**2/4
Let i(u) be the second derivative of u**7/420 - u**6/60 + 10*u**3/3 + 22*u. Let s(c) be the second derivative of i(c). Determine h so that s(h) = 0.
0, 3
Let g = 21 - -7. Determine c so that -28 + g + 5*c**2 + 15*c = 0.
-3, 0
Let u(w) be the second derivative of 3*w**4/2 + 19*w**3/3 + 5*w**2 + 13*w. Let p(b) = -19*b**2 - 39*b - 9. Let c(z) = -6*p(z) - 7*u(z). Let c(y) = 0. What is y?
-2, -2/3
Let x be 0/(2 + -3) - (-1 + -3). Factor -10*s**3 - 16*s**2 + 78*s**4 + x*s**5 - 98*s**4 + 42*s**3.
4*s**2*(s - 2)**2*(s - 1)
Factor 12*f**2 - 14 + 196*f - 360*f + 204*f - 18.
4*(f + 4)*(3*f - 2)
Factor -56/5*f - 4/5*f**2 - 196/5.
-4*(f + 7)**2/5
Let p(q) be the first derivative of -10/3*q**4 - 26/45*q**5 - 64/9*q**2 - 1/27*q**6 + 32 + 0*q - 224/27*q**3. Factor p(w).
-2*w*(w + 1)*(w + 4)**3/9
Let b = 485/18 - 229/9. Factor -1/2*m**2 + b - m.
-(m - 1)*(m + 3)/2
Let b(v) be the second derivative of 1/10*v**6 - 3/4*v**4 - v**3 + v + 0*v**2 + 0*v**5 + 0. Determine x so that b(x) = 0.
-1, 0, 2
Let q(i) be the first derivative of -i**5/330 - i**4/44 - 2*i**3/33 - 7*i**2 + 14. Let t(h) be the second derivative of q(h). Determine x, given that t(x) = 0.
-2, -1
Let h(a) be the first derivative of 4*a**3/3 + 92*a**2 + 180*a - 89. Suppose h(c) = 0. Calculate c.
-45, -1
Let h = -1/282 + 571/1974. Suppose 16 = 2*z - 2*b, z - 34 = -4*z + 3*b. Find p such that 4/7*p**2 - h*p**4 + 2/7*p**z + 2/7*p - 2/7 - 4/7*p**3 = 0.
-1, 1
Let m(l) be the second derivative of -l**7/2100 - l**6/75 - 4*l**5/25 - 16*l**4/15 + 25*l**3/6 + 12*l. Let c(h) be the second derivative of m(h). Factor c(a).
-2*(a + 4)**3/5
Let b(z) be the third derivative of 0 + 0*z + 2/3*z**3 - 1/6*z**4 - 2/15*z**5 + 10*z**2. Determine g so that b(g) = 0.
-1, 1/2
Suppose 2*n - 1 - 3 = 0. Let z be (1 - (-15)/(-12))*48/(-42). Factor -8/7*s + 6/7 + z*s**n.
2*(s - 3)*(s - 1)/7
Find q, given that 5*q + 47*q**2 + 7*q**3 - 99*q**2 + 48*q**2 - 5*q = 0.
0, 4/7
Suppose -h = -2*h + 4. Determine z so that 10*z**2 + 13*z**5 - 14*z**5 - 2*z**4 + 10*z**h + 19*z**3 = 0.
-1, 0, 10
Let w(p) = 7*p**4 + 156*p**3 - 1034*p**2 - 143*p + 1040. Let m(a) = -3*a**4 - 78*a**3 + 516*a**2 + 72*a - 519. Let s(n) = -13*m(n) - 6*w(n). Factor s(j).
-3*(j - 13)**2*(j - 1)*(j + 1)
Let p = -437 + 36709/84. Let h(z) be the third derivative of -p*z**4 - 3*z**2 + 0*z**3 + 0 - 1/210*z**5 + 0*z. Factor h(s).
-2*s*(s + 1)/7
Let r be (-6 + (7 - 0))/(-3 + (-35)/(-10)). Let -10/3*d**3 + 26/3*d**r - 8/3*d - 8/3 = 0. Calculate d.
-2/5, 1, 2
Find u, given that 0 + 2*u + 0*u**4 + 11/4*u**3 - 9/2*u**2 - 1/4*u**5 = 0.
-4, 0, 1, 2
Let k be (4/(-16))/(22*11/(-176)). Factor 4/11*p + 0 + k*p**2 - 2/11*p**3.
-2*p*(p - 2)*(p + 1)/11
Determine g, given that -311469/2 - 423/2*g**2 + 3/2*g**3 + 19881/2*g = 0.