*2*(j + 3)**3/2
Suppose 17 = 3*h - 7. Let p(a) = -6*a**2 - 2 + h + 6*a + 4*a**3 + 0*a**2. Let s(f) = -5*f**3 + 7*f**2 - 7*f - 7. Let b(u) = -6*p(u) - 5*s(u). Factor b(r).
(r - 1)*(r + 1)**2
Factor 0*v + 0 - 4/3*v**4 + 1/3*v**5 - 2/3*v**2 + 5/3*v**3.
v**2*(v - 2)*(v - 1)**2/3
Let u(c) be the second derivative of 0 - 1/10*c**6 - 5*c - 2/21*c**7 + 0*c**5 + 0*c**3 + 0*c**2 + 1/48*c**4. Let u(m) = 0. What is m?
-1/2, 0, 1/4
Let f(k) be the first derivative of -2/3*k**3 + 6 + 0*k - k**4 + 0*k**2 - 2/5*k**5. Factor f(z).
-2*z**2*(z + 1)**2
Let z(j) be the first derivative of 1/9*j**3 - 2/3*j**2 + 10 + j. Factor z(c).
(c - 3)*(c - 1)/3
Let c(x) be the third derivative of 0 + 0*x**3 + 1/480*x**5 - 6*x**2 + 0*x + 1/96*x**4 - 1/320*x**6. Factor c(w).
-w*(w - 1)*(3*w + 2)/8
Let j(o) = -2*o**2 + 3*o + 1. Let k be j(-2). Let f = k + 21. Factor w**3 + 24*w**2 + 3*w**3 + 6*w**3 + f*w.
2*w*(w + 2)*(5*w + 2)
Let t(s) be the third derivative of 0*s**7 + 1/1176*s**8 + 0*s - 3*s**2 + 1/84*s**4 + 0*s**3 + 0*s**5 - 1/210*s**6 + 0. Factor t(y).
2*y*(y - 1)**2*(y + 1)**2/7
Suppose -862 = -k + 1347. Let m = -11003/5 + k. Suppose -10*i**4 - 8*i + 8/5 + m*i**2 + 8*i**3 = 0. Calculate i.
-1, 2/5, 1
Suppose 0 = 6*j - 2*j. Determine d, given that -d + 1/2 + d**3 + j*d**2 - 1/2*d**4 = 0.
-1, 1
Suppose -p + 7 = 5. Factor g**3 - 2*g**3 + 9*g**5 - p*g**4 - 10*g**5.
-g**3*(g + 1)**2
Let y = -8/17 - -122/187. Factor 2/11*i**2 + 4/11*i + y.
2*(i + 1)**2/11
Let k be (-18)/(-27) + 1/(-6). Let u(n) be the first derivative of 0*n + 4 - k*n**4 + 0*n**3 + n**2. Factor u(h).
-2*h*(h - 1)*(h + 1)
Let i = 49/225 + 1/225. Factor 0 + 0*j**3 - 2/9*j**5 + 0*j + 0*j**2 + i*j**4.
-2*j**4*(j - 1)/9
Let h be (-84)/(-90)*-6 - -6. Determine n, given that -h + 6/5*n**2 + 4/5*n = 0.
-1, 1/3
Let u be 72/120*5/6. Determine l so that -l**3 - 1/2*l**4 + u + l + 0*l**2 = 0.
-1, 1
Let y(f) be the second derivative of 1/294*f**7 + 0*f**2 + 0 + 1/21*f**3 - 1/84*f**4 + 1/210*f**6 + 6*f - 3/140*f**5. Let y(b) = 0. What is b?
-2, -1, 0, 1
Let t = -295/36 + 76/9. Solve -1/2*j**3 + 0*j - 1/4*j**2 - t*j**4 + 0 = 0.
-1, 0
Let q(l) = 2*l**2 + 11*l - 6. Let d be q(-6). Let y(b) be the first derivative of -1/6*b**4 + 0*b**2 + 3 + 4/9*b**3 + d*b. Factor y(i).
-2*i**2*(i - 2)/3
Let v(k) be the second derivative of -k**5/30 - k**4/6 - k**3/3 - 2*k**2 - 3*k. Let d(f) be the first derivative of v(f). Factor d(r).
-2*(r + 1)**2
Let h(c) be the first derivative of c**3/12 + c**2/4 + c/4 - 3. Suppose h(u) = 0. Calculate u.
-1
Let w be ((1 - -1)/(-10))/(2/(-5)). Factor 1/2*q + w*q**2 + 0.
q*(q + 1)/2
Let y(o) = -o + 4. Let b be y(4). Suppose b*m = -2*m. Factor m + 1/4*r**5 - 1/2*r**3 + 0*r**4 + 1/4*r + 0*r**2.
r*(r - 1)**2*(r + 1)**2/4
Let w(o) be the second derivative of -o + 1/54*o**4 + 4/27*o**3 + 4/9*o**2 + 0. Let w(l) = 0. What is l?
-2
Factor 6*s**3 + s**3 - 2*s**2 - 11*s**3 + 3*s**3.
-s**2*(s + 2)
Factor 0 + 14/3*n**3 + 2/3*n**4 + 22/3*n**2 + 10/3*n.
2*n*(n + 1)**2*(n + 5)/3
Let r(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2 + 2*k + 19. Find u, given that r(u) = 0.
-1, 1
Let r(u) be the second derivative of u**8/8400 - u**7/700 + u**6/150 - u**5/75 - 2*u**3/3 - 3*u. Let n(w) be the second derivative of r(w). Factor n(h).
h*(h - 2)**3/5
Let w(b) be the second derivative of -b**7/3360 - b**6/1440 + b**3/2 + 6*b. Let i(k) be the second derivative of w(k). What is s in i(s) = 0?
-1, 0
Let t(s) be the first derivative of -2*s**3/21 + 4*s**2/7 - 8*s/7 - 6. Factor t(u).
-2*(u - 2)**2/7
Let z(k) be the second derivative of k**7/6300 + k**6/900 + k**5/300 + k**4/4 + k. Let r(t) be the third derivative of z(t). Factor r(u).
2*(u + 1)**2/5
Let s be (-32)/(-80)*(-1 - -6). Let m be (-16)/(-10) + 2/5. Solve -39*h**4 + 41*h**4 + s*h - 4*h**3 - m + 2*h = 0.
-1, 1
Let m be ((-20)/25 - -1)/((-2)/(-6)). Factor m*g**2 + 1/5 + 1/5*g**3 + 3/5*g.
(g + 1)**3/5
Find l such that 3/4*l**4 + 7/4*l - 1/2 - 7/4*l**3 - 1/4*l**2 = 0.
-1, 1/3, 1, 2
Solve 0*r**2 + 3/7*r**3 - 6/7 - 9/7*r = 0.
-1, 2
Factor 25*t**3 - 3*t**2 + t**2 + 2*t**2 + 5*t**2.
5*t**2*(5*t + 1)
Let d(p) be the first derivative of 25*p**3/9 + 10*p**2/3 + 4*p/3 + 14. Factor d(s).
(5*s + 2)**2/3
Let l(z) = -155*z**4 - 128*z**3 + 29*z**2 + 29*z + 7. Let r(w) = -52*w**4 - 43*w**3 + 10*w**2 + 10*w + 2. Let d(g) = 2*l(g) - 7*r(g). What is f in d(f) = 0?
-2/3, 0, 1/2
Let d(s) = 3*s**4 - 15*s**3 - 24*s**2 - 6*s. Let f(x) = 8*x**4 - 45*x**3 - 72*x**2 - 19*x. Let g(t) = 17*d(t) - 6*f(t). Let g(a) = 0. Calculate a.
-2, -1, 0
Let c(v) be the first derivative of 756*v**5/5 - 351*v**4/2 + 66*v**3 - 5*v**2 - 2*v - 11. Factor c(t).
2*(3*t - 1)**3*(14*t + 1)
Let n = -4 - -9/2. Let x(c) be the first derivative of -3 + 1/2*c**2 - n*c**3 + 1/2*c. Factor x(g).
-(g - 1)*(3*g + 1)/2
Solve 2 - 8*o**2 + 12*o + 10 + 4*o**4 - 8 + o**5 + 11*o**5 - 24*o**3 = 0.
-1, -1/3, 1
Let g(p) be the second derivative of 1/6*p**2 - 1/36*p**4 + 0 + 4*p + 0*p**3. Factor g(t).
-(t - 1)*(t + 1)/3
Factor -2/3*m + 25/6*m**4 - 8/3*m**2 + 0 - 5/6*m**3.
m*(m - 1)*(5*m + 2)**2/6
Let b(z) be the first derivative of -1/25*z**5 - 1/10*z**4 - 1/15*z**3 + 0*z**2 + 4 + 0*z. Factor b(m).
-m**2*(m + 1)**2/5
Let z(g) = -4*g**3 - 17*g**2. Let h(x) = 2*x**3 + 8*x**2. Let u(p) = -5*h(p) - 2*z(p). Factor u(n).
-2*n**2*(n + 3)
Let l(p) = p + 1. Let y(j) = -j**3 - 4*j**2 - 8*j - 5. Let n(u) = 3*l(u) + y(u). Find w, given that n(w) = 0.
-2, -1
Let o be ((-2)/(-4))/(-1) - (-1 + -1). Determine z, given that -o*z**2 - 1/2*z**3 - 3/2*z - 1/2 = 0.
-1
Let n(l) be the third derivative of l**6/240 + l**5/240 - l**4/96 - 5*l**2. Factor n(q).
q*(q + 1)*(2*q - 1)/4
Let d(k) be the first derivative of -3*k + 36/5*k**5 + 33/4*k**4 - 9/2*k**2 + 2*k**6 + 8 + k**3. Let d(p) = 0. Calculate p.
-1, -1/2, 1/2
Let p be 2 + -1 + -3 - 0. Let y be 4*(1 + p)/(-14). Find r such that 0 - 2/7*r**5 + 0*r - 2/7*r**4 + y*r**2 + 2/7*r**3 = 0.
-1, 0, 1
Suppose 0*p - 6/5*p**4 + 0*p**3 + 0 - 9/5*p**5 + 0*p**2 = 0. What is p?
-2/3, 0
Determine i, given that 4*i**2 - 4 + 17*i - 13*i**3 - 3*i - i**3 = 0.
-1, 2/7, 1
Let f(h) = 6*h - 2*h - 3*h + 8 + 0*h. Let j be f(-6). Suppose -3/5 + 0*c + 3/5*c**j = 0. What is c?
-1, 1
Let i = 45 + -43. Let h(s) be the first derivative of 1/5*s**4 - 2/5*s + 2/15*s**3 - 2/5*s**i + 4. Factor h(z).
2*(z - 1)*(z + 1)*(2*z + 1)/5
Let z be 265/600 - (-4)/(-10). Let v(u) be the second derivative of -z*u**3 + 0*u**2 + 0*u**4 + 0 + 1/80*u**5 + u. Let v(o) = 0. What is o?
-1, 0, 1
Let c(f) be the third derivative of -f**6/60 - 2*f**5/15 - 5*f**4/12 - 2*f**3/3 - 8*f**2. Find r such that c(r) = 0.
-2, -1
Let c(u) be the first derivative of -2*u**3/33 + 2*u**2/11 - 2*u/11 - 4. Factor c(q).
-2*(q - 1)**2/11
Let s(r) be the first derivative of -5*r**3/3 + 80*r**2 - 1280*r + 18. Factor s(p).
-5*(p - 16)**2
Let o(a) be the second derivative of 3/20*a**5 + 1/84*a**7 - 1/6*a**4 - 1/15*a**6 + 0*a**2 + 1/12*a**3 + 3*a + 0. Factor o(w).
w*(w - 1)**4/2
Let z = 15 - 13. Let h(u) be the first derivative of -1 - 5*u**z - 14/3*u**3 + 4*u. Factor h(w).
-2*(w + 1)*(7*w - 2)
Let o be 2 - (81/12 - 5). Suppose 0 - 1/4*p**4 - 1/4*p**5 + o*p**2 + 1/4*p**3 + 0*p = 0. Calculate p.
-1, 0, 1
Let b(p) = p**2 + 4*p - 16. Let i be b(-7). Let z(w) be the third derivative of 1/60*w**i - 2*w**2 + 0 + 1/12*w**4 + 0*w + 1/6*w**3. Solve z(l) = 0.
-1
Let x(k) be the third derivative of k**10/302400 - k**8/40320 - k**5/30 - 8*k**2. Let r(d) be the third derivative of x(d). Factor r(n).
n**2*(n - 1)*(n + 1)/2
Let m be 1 - (0 + (-3)/(-12)). Solve 5/4*l**4 + m*l - 7/4*l**2 - 3/4*l**3 + 1/2 = 0.
-1, -2/5, 1
Let q(c) = c**3 - 3*c**2 - 6*c + 6. Let x be q(4). Let p = x - -5. Factor -a**p + 4*a**3 - a**5 - a**2 - a**2 + 0*a**2.
-a**2*(a - 1)**2*(a + 2)
Let i = 9 + -9. Let g(n) be the first derivative of 0*n + i*n**2 - 1/14*n**4 - 2/21*n**3 - 1. Find h, given that g(h) = 0.
-1, 0
Let d(i) be the second derivative of i**7/8 - i**6/20 - 21*i. What is t in d(t) = 0?
0, 2/7
Let a = -85 - -88. Let w(c) be the first derivative of -1 + 5/18*c**4 + 44/9*c**2 + 44/9*c**a + 16/9*c - 10/9*c**5. Let w(h) = 0. What is h?
-1, -2/5, 2
Let 4*s**2 - 89*s - 107*s - 4*s**3 + 216*s + 12 = 0. Calculate s.
-1, 3
Let c(y) = -y**3 + 4*y**2 - 5*y + 6. Let r be c(3). Factor -2/11*g**2 - 8/11*g**4 + 0 + r*g + 10/11*g**3.
-