 (9/(-4) + 2). Factor -u*j**3 + 1/4*j**2 + 0*j + 0.
-j**2*(j - 1)/4
Let m(t) be the first derivative of 8/5*t + 4 - 4/5*t**2 - 1/2*t**4 - 26/15*t**3. Solve m(v) = 0.
-2, -1, 2/5
Factor -1/5*l**4 + 0*l + 0 - 1/5*l**2 + 2/5*l**3.
-l**2*(l - 1)**2/5
Let y(i) be the first derivative of 3*i - 2 + 3/2*i**3 - 1/4*i**4 - 3*i**2. Let v(k) be the first derivative of y(k). Find z such that v(z) = 0.
1, 2
Suppose 35*t - 4 + 20*t**2 - 9 + 3 + 25*t**2 = 0. What is t?
-1, 2/9
Let -2/3*u + 2/3*u**3 + 0*u**2 + 0 = 0. Calculate u.
-1, 0, 1
Let w = 52 + -154/3. Factor 0 + w*d**3 + 4/3*d**2 + 2/3*d.
2*d*(d + 1)**2/3
Let l = -189 + 569/3. Factor -2/3*i**2 - l*i + 0.
-2*i*(i + 1)/3
Let n(j) be the second derivative of j**6/540 - j**5/180 + j**3/2 + j. Let z(u) be the second derivative of n(u). Solve z(s) = 0.
0, 1
Let o(d) be the second derivative of -d**6/90 + d**5/30 + d**4/12 - 2*d**3/9 - 2*d**2/3 + 15*d. Find j, given that o(j) = 0.
-1, 2
Let z = 219 + -219. Let t(x) be the second derivative of 1/6*x**4 + x - 1/7*x**2 + z - 2/35*x**5 - 2/21*x**3. Factor t(i).
-2*(i - 1)**2*(4*i + 1)/7
Let b(k) be the first derivative of 4 + 28/3*k**3 - 2/3*k**6 - 9*k**4 + 0*k + 4*k**5 - 4*k**2. Find x such that b(x) = 0.
0, 1, 2
Let f(t) be the first derivative of -4*t**5/5 - t**4 + 52*t**3/3 + 50*t**2 + 48*t + 45. Factor f(y).
-4*(y - 4)*(y + 1)**2*(y + 3)
Factor -1/3 - 13/3*d**3 - 5*d**2 - 4/3*d**4 - 7/3*d.
-(d + 1)**3*(4*d + 1)/3
Let c(u) be the second derivative of 1/63*u**7 + 2/9*u**3 - u + 0 + 1/12*u**2 + 11/36*u**4 + 7/30*u**5 + 17/180*u**6. Let c(s) = 0. Calculate s.
-1, -1/4
Let d = -173 - -425. Let i be 2/7 + (-9)/d. Factor i*x**2 + 1/4*x - 1/4*x**3 - 1/4*x**4 + 0.
-x*(x - 1)*(x + 1)**2/4
Let d = -105 - -107. Factor 1/6*l + 1/6*l**d + 0.
l*(l + 1)/6
Suppose 8 = -5*j + 28. Let l be ((-1)/1)/(j/(-20)). Factor -1 - 20*m**3 - 3*m**5 - 1 - 10*m - 2*m**l - 10*m**4 - 20*m**2 + 3*m**5.
-2*(m + 1)**5
Let u(p) be the third derivative of p**7/210 + 23*p**6/600 + p**5/10 + p**4/30 - 4*p**3/15 + 12*p**2. Factor u(m).
(m + 1)*(m + 2)**2*(5*m - 2)/5
Let t = -1 - -12. Let d = -6 + t. Factor 0 - 1/4*q**d + 0*q**4 - 1/4*q + 0*q**2 + 1/2*q**3.
-q*(q - 1)**2*(q + 1)**2/4
Suppose -41*k + 36*k + 15 = 0. Find y such that 3/4*y**2 + 3/4*y**k + 0 - 3/2*y = 0.
-2, 0, 1
Let r(o) be the first derivative of o**6/210 + o**5/70 - o**3/21 - 3*o**2/2 + 6. Let a(w) be the second derivative of r(w). Factor a(f).
2*(f + 1)**2*(2*f - 1)/7
Let j(s) be the first derivative of 3 + 2/3*s**3 + 0*s - 2*s**2. Suppose j(d) = 0. Calculate d.
0, 2
Factor 0*w**2 + 1/2*w**4 + w**3 + 0*w - 5*w**5 + 0.
-w**3*(2*w - 1)*(5*w + 2)/2
Let z(b) = b**2 - 12*b. Let c be z(12). Let d(i) be the third derivative of 1/200*i**6 + 3/100*i**5 + 0*i**3 + 0 + 1/20*i**4 + c*i + 3*i**2. Factor d(j).
3*j*(j + 1)*(j + 2)/5
Let h(d) be the first derivative of -3/8*d**2 + 1/2*d**3 + 1/8*d**6 - 5 + 0*d**4 + 0*d - 3/10*d**5. Factor h(q).
3*q*(q - 1)**3*(q + 1)/4
Let k(y) = 6*y**2 + 0*y**2 - y**3 - 5 + y + 3. Let i be k(6). Determine g so that -g**4 + g**4 + g**i = 0.
0
Let p = 4 + -1. Find u, given that u**2 - 5*u**3 + 4*u**p + u**5 + 9*u**4 - 10*u**4 = 0.
-1, 0, 1
Factor -6/5*k - 27/5*k**3 - 3*k**4 + 0 - 21/5*k**2 - 3/5*k**5.
-3*k*(k + 1)**3*(k + 2)/5
Let a(j) = -j**3 - 6*j**2 + j + 8. Let m be a(-7). Factor 10*c - 8 - 11*c - m*c**4 + 140*c**3 - 138*c**2 + 57*c.
-2*(c - 1)**2*(5*c - 2)**2
Let q(h) = h**2 - 5*h + 5. Let p be -5*(-1)/((-3)/(-3)). Let y be q(p). Let 0 + 0*u**3 + 0*u**2 + 2/3*u**y - 2/3*u**4 + 0*u = 0. What is u?
0, 1
Let w be 14/(-60) - (-2)/5. Suppose w*s - 1/3 + 1/6*s**2 = 0. What is s?
-2, 1
Let t(s) be the first derivative of s**8/672 - s**6/240 - 2*s**2 + 4. Let m(g) be the second derivative of t(g). Solve m(d) = 0 for d.
-1, 0, 1
Let h(k) be the first derivative of -k**6/90 + k**5/30 - k**4/24 + k**3 - 2. Let v(n) be the third derivative of h(n). Factor v(x).
-(2*x - 1)**2
Suppose 2*f = -8*d + 9*d + 8, 3*d + 12 = 2*f. Let 0 + 7/8*q**4 - 7/8*q**2 + 1/4*q + 1/2*q**5 - 3/4*q**f = 0. What is q?
-2, -1, 0, 1/4, 1
Let r be (-8)/(-6)*(-3)/(-2). Factor 0*i**2 - 1 + 0 + i**r.
(i - 1)*(i + 1)
Let t be (-5)/(-10)*(3 + -2). Let g(f) be the first derivative of -1/4*f**2 + t*f**3 - 1 + 0*f. Factor g(j).
j*(3*j - 1)/2
Let f(i) be the third derivative of 1/12*i**4 + 0*i + 1/3*i**3 - 3*i**2 + 0 + 1/120*i**5. Factor f(n).
(n + 2)**2/2
Let -50/9*n**3 - 64/9 - 40*n**2 + 104/3*n = 0. Calculate n.
-8, 2/5
Let k(w) be the first derivative of w**5/10 + 7*w**4/24 + 5*w**3/18 + w**2/12 - 11. Factor k(o).
o*(o + 1)**2*(3*o + 1)/6
Let j(t) = -4*t**5 - 3*t**4 + 12*t**3 + 3*t**2 - 8*t. Let d(u) = 2*u**5 + 2*u**4 - 6*u**3 - 2*u**2 + 4*u. Let g(n) = -7*d(n) - 4*j(n). Factor g(w).
2*w*(w - 2)*(w - 1)*(w + 1)**2
Let p(o) be the first derivative of 0*o + 8 - 1/3*o**2 + 1/6*o**4 - 2/15*o**5 + 2/9*o**3. Factor p(k).
-2*k*(k - 1)**2*(k + 1)/3
Let g(i) be the second derivative of i**7/7560 - i**6/2160 - i**5/180 + i**4/6 + 3*i. Let d(l) be the third derivative of g(l). Determine j so that d(j) = 0.
-1, 2
Let l(k) be the first derivative of -k**7/2940 - k**6/630 - k**5/420 + k**3/3 + 1. Let x(o) be the third derivative of l(o). Let x(m) = 0. What is m?
-1, 0
Suppose 3*f = -2*f. Let a(w) be the second derivative of f - 11/3*w**3 - 7/10*w**5 + 2*w**2 - 2*w + 8/3*w**4. Factor a(j).
-2*(j - 1)**2*(7*j - 2)
Let t(o) be the third derivative of 2*o**7/105 - o**6/10 - 2*o**5/15 + 2*o**4 - 16*o**3/3 - 6*o**2. Factor t(k).
4*(k - 2)**2*(k - 1)*(k + 2)
Let d = -645 + 2583/4. Factor -1/2*n**5 + 1/4*n - d*n**3 + 1/4*n**2 - 5/4*n**4 + 0.
-n*(n + 1)**3*(2*n - 1)/4
Let b(l) = -l**3 - l**2 + l + 1. Let w be b(-2). Factor -w + 0 - 2*u + 2*u**2 + 2*u**3 + 1.
2*(u - 1)*(u + 1)**2
Factor 0 - 9/5*u - 3/5*u**2.
-3*u*(u + 3)/5
Let j = -26 + 31. Let w(p) be the first derivative of -2/35*p**j + 1/7*p**4 + 0*p**3 - 2/7*p**2 + 2/7*p - 2. Suppose w(x) = 0. What is x?
-1, 1
Let z(x) be the first derivative of x**6/1800 + x**5/300 + x**4/120 - x**3/3 + 2. Let f(m) be the third derivative of z(m). What is d in f(d) = 0?
-1
Let n(k) = 3*k**2 - 3. Let q(x) = x**3 + 2*x**2 - 4. Let f(b) = 4*n(b) - 3*q(b). Solve f(i) = 0.
0, 2
Suppose 4*l = 4*p, -3*p + l = -4*p + 10. Let i(j) be the first derivative of -1 - 2/5*j**p + 0*j**2 + 0*j**4 - 2*j + 4/3*j**3. Let i(o) = 0. What is o?
-1, 1
Let c(q) be the first derivative of -q**3/12 + q**2/8 + 3*q/2 - 28. Solve c(o) = 0 for o.
-2, 3
Let j be 32/(-128) + (-7)/(-12). Factor 1/3*a**2 - j*a - 2/3.
(a - 2)*(a + 1)/3
Factor 6*m**3 + 16*m**4 + 19*m**4 - 2*m**4.
3*m**3*(11*m + 2)
Suppose -4 + 8*g - 4*g - 4*g**2 + 4*g = 0. Calculate g.
1
Let q be 3/3 - (-3 - -2). Factor 0 - 1/4*y - 1/4*y**q.
-y*(y + 1)/4
Let u(v) be the first derivative of 3*v**5/5 - 9*v**4/4 + v**3 + 9*v**2/2 - 6*v + 3. Factor u(l).
3*(l - 2)*(l - 1)**2*(l + 1)
Let v(y) = -11*y**3 - y**2 + 5*y + 1. Let f(x) = -21*x**3 - x**2 + 10*x + 1. Let q(c) = 6*f(c) - 11*v(c). Let q(l) = 0. What is l?
-1, 1
Let j be (-36)/(-30)*10/4. Suppose -a = j*a. Factor 4/9*x**2 - 2/9*x - 2/9*x**3 + a.
-2*x*(x - 1)**2/9
Let a(p) = -19*p**2 - 60*p - 163. Let c(d) = 3*d**2 + 10*d + 27. Let f(w) = -6*a(w) - 39*c(w). Factor f(z).
-3*(z + 5)**2
Let j(x) be the first derivative of x**6/3 - 4*x**5/5 - x**4/2 + 4*x**3/3 + 26. Factor j(h).
2*h**2*(h - 2)*(h - 1)*(h + 1)
Let r(d) be the third derivative of d**5/120 + d**4/24 + 23*d**2. Suppose r(m) = 0. Calculate m.
-2, 0
Let n be -3 - (29 + 0 - 3). Let b = -27 - n. Find z such that -9*z - 21/2*z**b + 245/4*z**3 + 2 = 0.
-2/5, 2/7
Let r = -20/33 + 724/33. Factor r*y + 28/3*y**2 + 16/3.
4*(y + 2)*(7*y + 2)/3
Let k be 11/(1/6*2). Let w = k + -157/5. Solve -8/5 - 2/5*g**2 - w*g = 0.
-2
Factor 0*l - 2/5*l**3 + 3/5*l**2 - 1/5.
-(l - 1)**2*(2*l + 1)/5
Let f be (-2)/7 - (-12)/42. Suppose f*w + w - 2 = 0. Suppose -2/7*m**5 + 0 - 18/7*m**3 + 10/7*m**4 - 4/7*m + 2*m**w = 0. What is m?
0, 1, 2
Let h(a) be the third derivative of 1/40*a**6 - 1/12*a**4 + a**2 + 0*a**3 - 1/105*a**7 + 0 + 0*a + 1/20*a**5. Suppose h(v) = 0. Calculate v.
-1, 0, 1/2, 2
Let v be 4/10*13/78. Let c(j) be the second derivative of 0*j**2 + v*j**3 + 1/60*j**4 + 0 - 2*j. Let c(r) = 0. Calculate r.
-2, 0
Let o(z) be the first derivative of -7*z**3/9 + 23*z**2/6 - 2*z + 4. Let o(y) = 0. What is y?
2/7, 3
Let b(s) be