1/75*l**5 + 0 - 13/120*l**4 + 0*l - 14*l**2. Solve n(p) = 0 for p.
-3, -1/4
Let l be (-7)/2 + 7/(-14). Let s be (l/(-6))/((-1)/(-3)). Factor -4*y**2 + s*y**3 + 5*y**2 + 2*y**3 - 3*y**2 - 2*y.
2*y*(y - 1)*(2*y + 1)
Factor 4/3*u**3 + 0 + 4/3*u - 8/3*u**2.
4*u*(u - 1)**2/3
Let v(c) = -12*c**2 - 13*c - 12. Let f(a) = a**2 + a + 1. Suppose 0 = -b - u - 25, -3*u = -4*b - 5*u - 94. Let l(g) = b*f(g) - 2*v(g). Factor l(n).
2*(n + 1)**2
Let f be 405/648*(-14)/(-10). Find y, given that 1/4*y**4 - 5/4*y**3 - 1/4 + 3/8*y**5 + f*y + 0*y**2 = 0.
-2, -1, 1/3, 1
Factor -2/3*w**3 - 16 - 20/3*w + 26/3*w**2.
-2*(w - 12)*(w - 2)*(w + 1)/3
Suppose 305 = 5*d - 5*t - 0*t, 0 = t - 3. Let j = 67 - d. Find c such that -12/5 - 63/5*c**2 - 147/5*c**j + 72/5*c = 0.
-1, 2/7
Let t(s) be the second derivative of 5/6*s**3 + 0*s**2 + 0 + 5/12*s**4 + 21*s. Find p, given that t(p) = 0.
-1, 0
Let q(g) = -127*g**2 - 5 + 11 + 21*g + 142*g**2. Let n(l) = -15*l**2 - 20*l - 5. Let s(j) = 4*n(j) + 5*q(j). Suppose s(y) = 0. Calculate y.
-1, -2/3
Let a be (3 - -1) + (0 - 2). Let g(o) = -o - 2. Let n be g(-2). Solve n*r**3 - 3*r**3 + 6*r**a + r + 3*r - r - 6*r**4 = 0 for r.
-1, -1/2, 0, 1
Let n = 11 - 6. Let s = n + -1. Factor 0*x + 0*x - x**2 + 3*x**2 + 4*x**3 - 2*x**4 - s*x.
-2*x*(x - 2)*(x - 1)*(x + 1)
Let s = -3903/5 + 781. Let u(y) be the first derivative of 2/25*y**5 + 1/10*y**4 - 1/5*y**2 - s*y**3 + 4/5*y - 5. Factor u(l).
2*(l - 1)**2*(l + 1)*(l + 2)/5
Let t(r) = -r - 5. Let y be t(-8). Let v(k) = k**3 - 3*k**2. Let x be v(y). Suppose 0*g**4 + 2*g + x*g**3 - 4*g + 4*g**4 + 6*g**3 = 0. Calculate g.
-1, 0, 1/2
Let d = -96 - -240. Let a = d + -144. What is j in -3/4*j + 0 - 3/2*j**4 + a*j**3 + 3/2*j**2 + 3/4*j**5 = 0?
-1, 0, 1
Suppose 36*m - 50 = 31*m. Solve m - 3*u**2 + 49*u - 46*u - 4 + 0*u**2 = 0 for u.
-1, 2
Let k be (2 + (320/(-50))/4)/((-32)/(-340)). Factor -1/4*s**3 + 2 - k*s + 5/2*s**2.
-(s - 8)*(s - 1)**2/4
Let a(g) be the first derivative of 0*g - 3 + 0*g**4 + 8/21*g**3 - 2/7*g**2 + 2/21*g**6 - 8/35*g**5. Factor a(l).
4*l*(l - 1)**3*(l + 1)/7
Let w(c) = 5*c**2 - 15. Let b(v) be the first derivative of -8 - 1/2*v**2 - 29*v + 3*v**3. Let p(a) = 6*b(a) - 11*w(a). Determine y, given that p(y) = 0.
-3
Let q(a) be the third derivative of a**5/210 - 15*a**4/7 + 2700*a**3/7 + 3*a**2 - 24*a. Solve q(v) = 0.
90
Factor 17/3*a - 10 - 1/3*a**2.
-(a - 15)*(a - 2)/3
What is a in 6*a**3 - 4270*a**4 + 4269*a**4 - 10*a - 4*a**2 + 5 + 4*a = 0?
-1, 1, 5
Let d = 432 - 432. Let h(s) be the second derivative of -4*s + 2*s**2 + 3/10*s**5 + 1/3*s**4 - 7/3*s**3 + d. Factor h(l).
2*(l - 1)*(l + 2)*(3*l - 1)
Let y(x) be the third derivative of -x**6/72 + x**5/6 - 5*x**4/6 + 3*x**3/2 + 35*x**2. Let m(r) be the first derivative of y(r). Factor m(q).
-5*(q - 2)**2
Let k(d) be the third derivative of -d**9/90720 + d**8/15120 - d**7/7560 - 13*d**5/60 - 2*d**2. Let t(w) be the third derivative of k(w). Factor t(i).
-2*i*(i - 1)**2/3
Determine k so that -5*k**5 + 2*k**4 + 263*k**3 - 40*k**2 + 0*k**4 - 3*k**4 - 4*k**4 - 213*k**3 = 0.
-4, 0, 1, 2
Let p(z) be the first derivative of z**7/70 + z**6/25 - z**4/10 - z**3/10 - 18*z + 24. Let h(g) be the first derivative of p(g). Factor h(v).
3*v*(v - 1)*(v + 1)**3/5
Let y(t) be the second derivative of -t**5/20 + t**4/4 + 3*t**3/2 - 27*t**2/2 - 12*t - 4. Factor y(p).
-(p - 3)**2*(p + 3)
Let l = -5 - -11. Suppose -2*j + l = 2*q, 2*q = -2*q. Factor w**5 - 3*w**2 - 6*w**3 + 3*w**2 + 2*w**2 - j*w**5 + 6*w**4.
-2*w**2*(w - 1)**3
Let z(d) be the first derivative of -5*d**3/3 - 305*d**2 - 18605*d - 321. Factor z(y).
-5*(y + 61)**2
Let f(c) = -4*c**2 - 40*c - 1. Let b(a) = a**2 - 1. Suppose -7 = 2*t - 3*w, -5*t - 5*w + 11 = -9*t. Let q(j) = t*f(j) - b(j). Factor q(i).
-5*i*(i + 8)
Suppose -2*g - 2*g + 60 = 0. Let -17*k - 15*k**2 + g*k - 10*k**3 + 12*k = 0. Calculate k.
-2, 0, 1/2
Let b(q) be the first derivative of q**6/30 - q**5/25 - 3*q**4/20 + q**3/15 + q**2/5 + 118. Factor b(p).
p*(p - 2)*(p - 1)*(p + 1)**2/5
Let s(q) = q**2 - 3*q - 9. Let m be (-28)/4*(-2 - -1). Let k be s(m). Solve -6*u - 2*u - 15*u**2 + k*u**2 = 0 for u.
0, 2
Let l = 9 - 0. Let a be -21*1*(-3)/l. Factor 3*i - 14*i**2 + a*i**2 + i**2 - 5*i.
-2*i*(3*i + 1)
Let t = 13 - 11. Factor -2*a**2 + 4*a**4 + 5*a - 3*a**2 - 5*a**3 + 2*a**t - 1.
(a - 1)**2*(a + 1)*(4*a - 1)
Let n = -271 + 274. Let c(o) be the third derivative of 1/30*o**5 + n*o**2 + 0 + 0*o - 1/3*o**3 + 0*o**4. Factor c(k).
2*(k - 1)*(k + 1)
Let f(s) = -4*s**2 + 2*s**3 - 3*s + 0*s**2 + 2*s**2 - s**3. Let p be f(3). Factor p - 1/2*j + 1/4*j**3 + 1/4*j**2.
j*(j - 1)*(j + 2)/4
Factor -12/5*w - 18/5*w**2 - 2/5*w**3 + 32/5.
-2*(w - 1)*(w + 2)*(w + 8)/5
Let u = -22/435 - -16/87. Find v such that 4/15 - 2/15*v**2 - u*v = 0.
-2, 1
Factor 5*w**2 + 324 + 175 - 85*w - 205 + 66.
5*(w - 9)*(w - 8)
Let l be 2/10 + (-153)/(-85). Let t(r) be the third derivative of r**3 - 3/8*r**4 + 0*r - 2*r**l + 0 - 1/10*r**5. Factor t(y).
-3*(y + 2)*(2*y - 1)
Let a = 2 - -3. Factor a*q**4 - 7*q**5 + 10*q**3 + 0*q**4 + 2*q**5.
-5*q**3*(q - 2)*(q + 1)
Let y(m) be the third derivative of m**7/1960 + m**6/420 + m**5/280 + 5*m**4/8 + 6*m**2. Let s(x) be the second derivative of y(x). Factor s(t).
3*(t + 1)*(3*t + 1)/7
Let o = -3 + 6. Solve 45*n**2 - 48*n**2 - n**5 + 3*n**3 - 2*n**5 + o*n**4 = 0.
-1, 0, 1
Let d(a) be the first derivative of a**4/20 + 19*a**3/15 + 7*a**2/2 + 17*a/5 - 2. Solve d(z) = 0 for z.
-17, -1
Let o(w) = -w**3 + 9*w**2 - w + 9. Let l be o(9). Factor -8*x**2 - 7*x - 20*x - 3*x**3 - 10*x**2 + l*x**3.
-3*x*(x + 3)**2
Let d(x) = -32*x - 64. Let j be d(-2). Let p(a) = a**3 + a**2 + a + 3. Let c be p(0). Suppose -20/3*y**2 - 4/3*y**4 + 8/3*y + j + 16/3*y**c = 0. Calculate y.
0, 1, 2
Let k(a) be the third derivative of a**9/12096 + a**8/3360 - a**6/720 - a**5/480 - 7*a**3/3 - 4*a**2. Let r(f) be the first derivative of k(f). Factor r(p).
p*(p - 1)*(p + 1)**3/4
Let v(l) be the third derivative of l**5/15 + 26*l**4 + 4056*l**3 + 294*l**2. Solve v(w) = 0 for w.
-78
Let h(a) = -a**2 - 10*a + 2. Let v be h(-10). Let f be 39/9 - (-2)/(-6). Determine n, given that -7*n**2 + 3*n**2 - 2*n + 1 + f*n**v + n**2 = 0.
1
Let z = -114127/9 + 12681. Determine b, given that 0 - z*b - 8/9*b**4 - 4/3*b**3 - 8/9*b**2 - 2/9*b**5 = 0.
-1, 0
Let w be (3 + 0)/3*(4 + 0). Let v(u) be the third derivative of 1/20*u**5 - 1/20*u**6 + 0*u**3 + 0*u**w + 4*u**2 + 0 + 0*u + 1/70*u**7. Factor v(m).
3*m**2*(m - 1)**2
Let g(h) be the first derivative of -3*h**3 + 133*h**2/2 + 30*h + 342. Factor g(d).
-(d - 15)*(9*d + 2)
Let i(n) be the first derivative of n**6/150 + 2*n**5/75 + 9*n**2/2 - 7. Let v(h) be the second derivative of i(h). Factor v(k).
4*k**2*(k + 2)/5
Let y(b) = b**2 - 4*b + 1. Let g(a) = 12 - 9 - 4*a + a + 5*a**2 - 16*a. Let r(i) = -4*g(i) + 22*y(i). Factor r(f).
2*(f - 5)*(f - 1)
Let v(n) = -2*n**2 + 68*n - 183. Let a be v(3). Let -1 - 5/4*b**2 - 1/4*b**a - 2*b = 0. Calculate b.
-2, -1
Let u(p) be the third derivative of -p**7/1470 - 3*p**6/140 - 37*p**5/420 + 33*p**4/14 - 242*p**3/21 - 4*p**2 + 9. Suppose u(i) = 0. What is i?
-11, 2
Suppose 2*j = -2*j + 24. Let c(x) = x**2 - 4*x - 10. Let i be c(j). Suppose s**4 + 3*s**3 + 0 + i*s**2 + 5 - 5 = 0. What is s?
-2, -1, 0
Let o(c) be the third derivative of -c**8/6720 + c**7/240 - c**6/40 + 19*c**5/60 - 33*c**2. Let x(v) be the third derivative of o(v). Factor x(f).
-3*(f - 6)*(f - 1)
Let m be (-2)/(-6) + 0 - 42/126. Let p(k) be the third derivative of -1/16*k**6 + m*k**3 + 0*k + 3/10*k**5 + 0 + 9*k**2 - 1/4*k**4. Factor p(y).
-3*y*(y - 2)*(5*y - 2)/2
Let a(d) be the third derivative of 0 - 5/24*d**5 + 1/3*d**4 + 19/240*d**6 + 0*d + 1/672*d**8 + 22*d**2 - 1/60*d**7 - 1/3*d**3. Factor a(f).
(f - 2)**2*(f - 1)**3/2
Let n(t) be the second derivative of t**5/50 - 7*t**4/30 + 11*t**3/15 - t**2 + 14*t - 1. Determine b so that n(b) = 0.
1, 5
Let l be (-72)/7 - 8/(-28). Let y = l - -13. Solve 24*j + 33 - y*j**2 - 38 - 43 = 0.
4
Let o(r) = -3*r**3 - 4*r**2 + 12*r + 8. Let i(w) = 4*w**3 + 3*w**2 - 11*w - 10. Let x(v) = 4*i(v) + 5*o(v). Solve x(q) = 0.
0, 4
Let v be 1/((-1)/(-2)) + 1475/(-750). Let k(u) be the second derivative of -v*u**4 + 0*u**2 - u + 0 + 0*u**3. Determine d, given that k(d) = 0.
0
Let n be -7 + 4 - (-17)/1. Let f be (-64)/(-14) - 