 + 0*m + m**2.
-(m - 2)**2*(m + 1)/3
Let q = 34 + -31. Factor -25*y**3 - 9 + 2 - 35*y - q - 5*y**4 - 45*y**2.
-5*(y + 1)**3*(y + 2)
Let y(i) be the first derivative of 5*i**4/4 - 5*i**3 + 15*i**2/2 - 5*i + 464. Let y(w) = 0. Calculate w.
1
Let z(k) be the first derivative of -5*k**6/6 - 5*k**5 - 25*k**4/4 + 25*k**3/3 + 15*k**2 + 11. Solve z(v) = 0 for v.
-3, -2, -1, 0, 1
Let h(v) be the third derivative of v**5/660 + 13*v**4/33 + 1352*v**3/33 + v**2 + 29. Factor h(u).
(u + 52)**2/11
Suppose 0 = 2*y + 12*y - 2 + 2. Let -9/8*a + y*a**2 + 3/4 + 3/8*a**3 = 0. Calculate a.
-2, 1
Find s such that -2/21*s**3 + 0 + 2/21*s**4 + 0*s**2 + 0*s = 0.
0, 1
Suppose -3*o + 2*y = 8, 4*o - 5*y + 7 + 6 = 0. Let l = o + 4. Determine a so that -8*a**5 - 4 - 16*a + l*a**4 + 2*a**2 + 4*a**2 - 4 + 2*a**5 + 22*a**3 = 0.
-1, -2/3, 1, 2
Let k be 3*(-36)/3*(-9)/135. Factor -3/5*z**3 + 3/5*z - 12/5 + k*z**2.
-3*(z - 4)*(z - 1)*(z + 1)/5
Let c be (16/(-120)*-10)/(1/150). Let h = c + -197. Factor 3/5*s**2 + 3/5*s + 1/5 + 1/5*s**h.
(s + 1)**3/5
Suppose -2*l + 0*l = y - 25, 0 = -5*y + 5*l + 95. Suppose -5*z + 22 = 4*i, 6 - y = -5*i. Factor 1/4*p**4 + 0*p**3 + 0 - 1/4*p**z + 0*p.
p**2*(p - 1)*(p + 1)/4
Let m be 1*6*(-7)/(-3). Solve 0*b + 6*b**2 + b + 29 - 20 + m*b = 0.
-3/2, -1
Factor -2/5*w**2 + 64*w - 2560.
-2*(w - 80)**2/5
Solve 19/2*u + 5/2*u**3 + 5/2 - u**4 + 21/2*u**2 = 0 for u.
-1, -1/2, 5
Factor 26450/19 + 460/19*s + 2/19*s**2.
2*(s + 115)**2/19
Let l be ((-220)/(-77) - 2)*7. Let o(w) be the first derivative of 10 + 19/30*w**5 + 1/18*w**3 - 1/6*w**2 + 0*w + 5/8*w**4 + 7/36*w**l. Solve o(r) = 0 for r.
-1, 0, 2/7
Let f(q) be the second derivative of q**7/42 - 3*q**5/20 - q**4/6 - q - 28. Factor f(k).
k**2*(k - 2)*(k + 1)**2
Suppose 3*a = 49 - 43, p = -2*a + 7. Factor 0 + 0*c - 6/5*c**2 + 3/5*c**p.
3*c**2*(c - 2)/5
Let q(p) = -27*p**4 - 258*p**3 + 102*p**2 + 3553*p + 882. Let b(c) = 5*c**4 + 43*c**3 - 17*c**2 - 592*c - 147. Let a(w) = 34*b(w) + 6*q(w). Solve a(f) = 0.
-3, -1/4, 7
Factor 1/2*q**4 - 4*q**2 + 3*q**3 + 7/2 - 3*q.
(q - 1)**2*(q + 1)*(q + 7)/2
Let f = 3/91 - -977/728. Let j = f - 105/88. Factor -j*c**3 + 0 - 4/11*c**2 - 2/11*c.
-2*c*(c + 1)**2/11
Suppose 2*y - 2*y + 2*y = 0. Let a be (2/35)/(y + (-6)/(-30)). Suppose -1/7*o**3 + a*o**2 + 0 + 0*o = 0. Calculate o.
0, 2
Let v(a) = -2*a**2. Suppose 3*r - 5 = -8. Let m(d) = 4*d**2 + 8*d - 8. Let w(s) = r*m(s) - 3*v(s). Factor w(h).
2*(h - 2)**2
Let d(v) be the second derivative of -v**6/120 - v**5/10 - v**4/8 + v**3/3 + 7*v**2/8 + 9*v - 1. Factor d(u).
-(u - 1)*(u + 1)**2*(u + 7)/4
Let p(w) = -w**3 + 23*w**2 + 53*w - 75. Let q be p(25). Solve 0*u**2 - 7/5*u**4 + 0 + q*u - 2/5*u**3 = 0 for u.
-2/7, 0
Factor 1522 + 55*c - 911 - 5*c**2 - 761.
-5*(c - 6)*(c - 5)
Let n(p) be the first derivative of p**8/560 + p**7/140 - p**6/120 - p**5/20 - 7*p**3 - 11. Let m(i) be the third derivative of n(i). Factor m(z).
3*z*(z - 1)*(z + 1)*(z + 2)
Suppose 0 = -0*r - 4*r. Suppose 7*d - 18*d = -0*d. Factor -1/2*v**2 + d + r*v.
-v**2/2
Let u(i) be the second derivative of -i**3/3 + 23*i**2/2 - 9*i. Let j be u(10). Determine f, given that -16*f**3 - 12*f**3 - 4 + j*f**2 + 27*f**3 = 0.
-1, 2
Let n = -865/2 + 5993/14. Let k = 34/7 + n. Let 3/7*v - 3/7 + k*v**2 - 3/7*v**3 = 0. What is v?
-1, 1
Let u(k) be the second derivative of k**7/315 + 2*k**6/75 + 2*k**5/25 + 4*k**4/45 - 152*k - 1. Suppose u(r) = 0. What is r?
-2, 0
Let d(p) be the third derivative of p**6/30 + 11*p**5/60 + p**4/3 - p**3/2 - 17*p**2. Let o(w) = w**2. Let z(t) = d(t) + 4*o(t). Factor z(s).
(s + 1)*(s + 3)*(4*s - 1)
Let g(b) be the third derivative of 1/3*b**3 + 1/16*b**4 + 0*b + 0 + 1/420*b**7 + 12*b**2 - 1/24*b**5 - 1/80*b**6. Factor g(s).
(s - 4)*(s - 1)*(s + 1)**2/2
Let c(g) be the second derivative of 3 - 1/24*g**5 + 1/18*g**6 - 5/252*g**7 + 0*g**2 + 0*g**3 + g + 0*g**4. Factor c(j).
-5*j**3*(j - 1)**2/6
Let n(g) be the first derivative of 5*g**3/9 - 85*g**2/6 - 352. Factor n(u).
5*u*(u - 17)/3
Factor 0 + 86/3*n - 1/3*n**2.
-n*(n - 86)/3
Let b(o) be the second derivative of -o**6/105 + 19*o**5/35 - 78*o**4/7 + 1690*o**3/21 + 2197*o**2/7 + 2*o - 15. Let b(f) = 0. Calculate f.
-1, 13
Let y be (21 - 1)/(-5) - -4. Factor y*n - 4*n - 26*n**2 + 24*n**2.
-2*n*(n + 2)
Let g(y) be the second derivative of y**7/273 - 2*y**6/65 - 3*y**5/130 + 10*y**4/39 - 4*y**3/13 - 824*y. What is l in g(l) = 0?
-2, 0, 1, 6
Let g(j) = -j**3 - 9*j**2 - 8*j + 1. Let y be g(-8). Determine m so that -53*m + 51*m + m**2 - 2*m**2 - y = 0.
-1
Let f(m) = m**3 + 8*m**2 + 9*m + 10. Let i be f(-7). Let w be (-187)/(-55) - i/(-10). Factor -10*j - 10*j**2 + j**2 + 12*j**3 - 2*j + 19 - 7 - w*j**4.
-3*(j - 2)**2*(j - 1)*(j + 1)
Let s = 86/29 + -257/116. Let m(u) be the first derivative of s*u + 3/8*u**2 - 3/16*u**4 - 1/4*u**3 + 6. Factor m(q).
-3*(q - 1)*(q + 1)**2/4
Let b = -67 + 71. Suppose 3*p**4 + p**4 + b + 0 + 0*p**4 - 8*p**2 = 0. Calculate p.
-1, 1
Let d(n) = n**2. Let k be (-2)/(2/8*-2). Let u(p) = -5*p**2 + 4*p**3 + p**2 - 13 - p**4 - 12*p + k. Let g(j) = -6*d(j) - u(j). Determine l, given that g(l) = 0.
-1, 3
Let u be -4*16/1056*-3 - 23/(-55). Suppose -u*y**3 - 24/5*y + 0 + 18/5*y**2 = 0. Calculate y.
0, 2, 4
Let d(k) = -k**2 - 15*k + 11. Let p be d(-14). Suppose -3*y - 5*j = -p, 0*y - 7 = -y - j. Factor 2*c**3 + 2*c**2 + 2*c**3 + 2*c**4 + 5*c**2 - y*c**2.
2*c**2*(c + 1)**2
Let p(c) be the third derivative of -5*c**8/28 - 58*c**7/105 - 11*c**6/30 + c**5/3 + c**4/3 - 50*c**2. Determine q, given that p(q) = 0.
-1, -1/3, 0, 2/5
Let n(h) be the first derivative of -h**5 - 2*h**4 + 4*h**2 + 26. Let s(t) = 2*t**4 + 3*t**3 - 3*t. Let m(g) = 3*n(g) + 8*s(g). Factor m(z).
z**4
Let b(v) = -5*v - 7. Let t be b(-13). Solve -t*x**2 + 3*x**4 + 6*x + 61*x**2 - 6*x**4 - 6*x**3 = 0.
-2, -1, 0, 1
Let a(m) be the third derivative of m**6/720 - m**5/72 + m**4/36 + 237*m**2. Factor a(i).
i*(i - 4)*(i - 1)/6
Let x(f) be the first derivative of 0*f - 3/8*f**4 + 0*f**2 + f**3 + 7. Let x(n) = 0. Calculate n.
0, 2
Let m be -229 - -254 - 388/16. Factor -m - 1/2*d + 1/4*d**2.
(d - 3)*(d + 1)/4
Let m be (-11)/55 - (-106)/5. Let h = -18 + m. Factor -s**4 + 4*s**2 + 1 - 7/2*s - s**h + 1/2*s**5.
(s - 1)**4*(s + 2)/2
Let b(y) be the second derivative of 3/4*y**5 + 0 - 11*y + 3/4*y**4 + 1/5*y**6 - 3/2*y**2 - 1/2*y**3. Factor b(o).
3*(o + 1)**3*(2*o - 1)
Let b(m) = 172*m**2 - 288*m + 9. Let s(u) = -58*u**2 + 96*u - 4. Let q(j) = 4*b(j) + 11*s(j). Find p such that q(p) = 0.
-2/25, 2
Factor 8/7*b**2 + 0 - 6/7*b**3 - 2/7*b.
-2*b*(b - 1)*(3*b - 1)/7
Find r such that -8/3*r + r**5 + 2*r**3 + 0 - 11/3*r**4 + 4*r**2 = 0.
-1, 0, 2/3, 2
Let l = 6122/4593 - -2/4593. Find y such that 1/3*y**3 - l*y**2 - 2/3 + 5/3*y = 0.
1, 2
Suppose 19*m = 18*m - 5*f - 5, -5 = -4*m + 5*f. Suppose 0*o**4 - 2/7*o**5 + 8/7*o**3 + 0*o + 0 + m*o**2 = 0. Calculate o.
-2, 0, 2
Suppose -273 = 34*z - 125*z. Factor 1/3*r**z + 1 - r**2 - 1/3*r.
(r - 3)*(r - 1)*(r + 1)/3
Let u(n) be the first derivative of -n**3 - 3*n**2/2 + 36*n - 3. Factor u(l).
-3*(l - 3)*(l + 4)
Let c(o) = -3*o + 14. Let j be c(4). Let v be 4/45*5/2. Factor -v*t + 4/9 - 2/9*t**j.
-2*(t - 1)*(t + 2)/9
Let u(f) be the first derivative of -f**3/15 + 3*f**2/10 - 23. Factor u(n).
-n*(n - 3)/5
Let v(x) = -x**3 - 3*x**2 - 4*x - 7. Let u be v(-3). Factor 0*s**4 - 2/7*s**u + 0 - 2/7*s + 4/7*s**3 + 0*s**2.
-2*s*(s - 1)**2*(s + 1)**2/7
Let j = 50 - 47. Factor 2*r**3 + r + 16*r**2 - 11*r + j*r**3 - 11*r**2.
5*r*(r - 1)*(r + 2)
Let r(x) = 20*x**3 + 2924*x**2 + 40684*x + 37908. Let z(i) = 3*i**3 + 450*i**2 + 6259*i + 5832. Let k(y) = -5*r(y) + 32*z(y). Suppose k(j) = 0. What is j?
-27, -1
Let v(l) be the second derivative of -49*l**6/180 - 21*l**5/4 - 263*l**4/18 - 95*l**3/6 - 33*l**2/4 - l - 149. Let v(z) = 0. What is z?
-11, -1, -3/7
Suppose 152/3*p + 4/3*p**3 - 44/3*p**2 - 160/3 = 0. Calculate p.
2, 4, 5
Let c(i) = i**2 - 1. Let n(s) = 306 - s**4 + 39*s**3 + 13*s**4 + 207*s**2 + 405*s - 4*s**4 - 5*s**4. Let b(v) = -18*c(v) + n(v). Factor b(g).
3*(g + 3)**3*(g + 4)
Let f(s) be the first derivative of s**6/630 + 2*s**5/105 + 2*s**4/21 + 34*s**3/3 + 18. Let l(n) be the third derivative of f(n). Factor l(v).
4*(v + 2)**2/7
Let z(i) be the first derivative of -i**5 - 15*i**4/4 + 50*i**3/3 + 60*i**2 + 241. Factor