*p.
-2*p**2*(p + 2)/9
Let y be (-20 - (7 + -9 + 4))*-11. Let k = y + -239. Determine c so that 1/2*c - 2*c**2 + 0 + 2*c**4 - 1/2*c**k = 0.
-1, 0, 1/4, 1
Let y(r) be the second derivative of 1/8*r**5 - 5/2*r**3 - 16*r - 25/24*r**4 + 0 + 0*r**2. Let y(n) = 0. What is n?
-1, 0, 6
Let u(m) be the first derivative of m**3/7 - 15*m**2/14 - 710. Find x, given that u(x) = 0.
0, 5
Factor 1/3*g**3 - 32/3 - 28/3*g + 5/3*g**2.
(g - 4)*(g + 1)*(g + 8)/3
Let s be (-2)/(-9) - (-22)/99. Suppose 4*u - 2 - 4 = l, -5*u = 3*l - 16. Determine k so that 2/9*k**3 - s*k + 0 + 2/9*k**l = 0.
-2, 0, 1
Let q(k) be the first derivative of k**4/18 - 34*k**3/9 - 474. Suppose q(j) = 0. What is j?
0, 51
What is r in 772*r - 35*r**3 - 962*r - 753*r**2 + 78*r**2 = 0?
-19, -2/7, 0
Let k = 123909/7 + -17701. What is q in 8/7*q**2 + 0 + 0*q - k*q**4 - 6/7*q**3 = 0?
-4, 0, 1
Let l(y) be the third derivative of -y**7/7560 + y**6/720 - y**5/180 - 11*y**4/24 - 28*y**2. Let k(f) be the second derivative of l(f). Factor k(z).
-(z - 2)*(z - 1)/3
Let m(d) = -2*d**2 - 6*d + 2. Let q(a) = -a**2 + a. Let b(i) = -m(i) - 3*q(i). Let g(k) = -4*k**2 - 2*k + 2. Let n(s) = 4*b(s) + 6*g(s). Factor n(r).
-4*(r - 1)*(r + 1)
Let c(o) be the second derivative of 2*o**7/399 + o**6/95 - o**5/19 + 8*o**3/57 - 3*o**2/19 - 292*o. Suppose c(g) = 0. What is g?
-3, -1, 1/2, 1
Let t(w) = 20*w**2 - 15*w. Suppose -31*a = -28*a + 75. Let o(k) = -k**2. Let h(r) = a*o(r) - t(r). What is l in h(l) = 0?
-3, 0
Let i(k) be the third derivative of 2*k**7/525 + k**6/50 - 9*k**5/25 - 59*k**4/30 - 4*k**3 - 169*k**2 + 1. Solve i(j) = 0.
-6, -1, 5
Let w be (-160)/560 + (-1 - -2 - (-164)/(-308)). Factor 2/11*p**3 - w*p + 2/11*p**4 - 2/11*p**2 + 0.
2*p*(p - 1)*(p + 1)**2/11
Suppose 51*g = 82*g. Find h such that 3*h**4 + g + 3*h**2 + 0*h - 9/2*h**5 + 21/2*h**3 = 0.
-1, -1/3, 0, 2
Let u(r) be the first derivative of 5*r**3 + 24 + 0*r**2 - 5/4*r**4 + 0*r. Determine s so that u(s) = 0.
0, 3
Factor -68*m**2 - 11*m - 6*m - 14*m + 19*m.
-4*m*(17*m + 3)
Let j = 12 - 0. Let w be ((-16)/(-6))/(8/j). Factor -10*c**3 - 5*c - 5*c**5 + 5*c**5 + 1 + 10*c**2 - c**5 + 5*c**w.
-(c - 1)**5
Let k(j) be the first derivative of 4 + 1/225*j**6 + 0*j**2 + 1/30*j**4 + 3/100*j**5 - 5/3*j**3 + 0*j. Let x(b) be the third derivative of k(b). Factor x(a).
2*(a + 2)*(4*a + 1)/5
Let i be 1*(4 + -1) + 2. Let l be 12/32*(13 - 5). Factor 1/3 + 2/3*c**l - 1/3*c**i + 1/3*c**4 - 2/3*c**2 - 1/3*c.
-(c - 1)**3*(c + 1)**2/3
Let f be -3*(4 + -2 - 9 - 240/(-40)). Suppose -1/5*y + 0 + 0*y**f + 1/10*y**4 - 3/10*y**2 = 0. What is y?
-1, 0, 2
Let c(u) be the first derivative of -625*u**4/34 - 1450*u**3/51 - 104*u**2/17 - 8*u/17 - 158. Suppose c(b) = 0. Calculate b.
-1, -2/25
Let d(y) be the first derivative of y**7/175 + 2*y**6/75 + 7*y**5/150 + y**4/30 + 25*y**2 + 46. Let n(c) be the second derivative of d(c). Factor n(w).
2*w*(w + 1)**2*(3*w + 2)/5
Let t be ((-4)/6*4)/(4/18). Let g be ((-48)/(-30))/(t/(-10)). Let -4/3 - g*d - 1/3*d**2 = 0. Calculate d.
-2
Let r(n) = -n**3 - 7*n**2 + 8*n + 3. Let a be r(-8). Suppose a*j + 1 + 2 = 3*l, -9 = -3*l. Determine b so that -2*b - 10*b + 4*b**j + 20 + 12*b**3 - 24 = 0.
-1, -1/3, 1
Solve 2*u - 11*u + 7*u - u**2 = 0 for u.
-2, 0
Let i(c) = -7*c**3 - 27*c**2 - 8*c. Let h be ((-2)/6)/((-10)/30). Let t(j) = j**2. Let z(g) = h*i(g) - 3*t(g). Factor z(m).
-m*(m + 4)*(7*m + 2)
Let j be (-2)/5 + 7/5. Let p(y) = -y**2 + 85. Let m be p(9). Factor -5*l**2 - m - 29*l + 39*l - j.
-5*(l - 1)**2
Determine a so that -3/4 - a - 1/4*a**2 = 0.
-3, -1
Let p be (40/12 - 3) + (-30)/225. Let c(d) be the second derivative of 0*d**3 + 0*d**2 + p*d**5 + 0 - 1/3*d**4 + 2*d. Let c(n) = 0. What is n?
0, 1
Factor -11*p**4 + 19 - 5*p**4 - 38*p - 2*p**5 - 4*p**2 + 40*p**3 - 15 + 16.
-2*(p - 1)**3*(p + 1)*(p + 10)
Let a(j) = 10*j**3 + j - 2. Let u be a(-2). Let r be 12/u - (-113)/105. Factor 4/15 + r*f + 2/3*f**2.
2*(f + 1)*(5*f + 2)/15
Suppose -4*f + 2*d = 56 - 16, -4*d = 3*f + 41. Let n = f + 14. Factor 0 + 6*q**2 - 3*q + 3*q**3 - 3 - n.
3*(q - 1)*(q + 1)*(q + 2)
Determine m so that 2*m + 0*m - 17*m - 4*m**2 + 9*m**2 - 50 = 0.
-2, 5
Let x(c) = 6*c**2 - 64*c + 42. Let t be x(10). Solve 4/3*w**2 + t*w**3 + 0 + 0*w - 2/3*w**5 + 0*w**4 = 0.
-1, 0, 2
Let l(o) = -o**2 + 4*o + 7. Suppose -d - d - 3*k = -4, 3*d - 19 = 2*k. Let x be l(d). Factor 1 - 2*s**4 + 11*s**x - 9*s**2 - s + s**5 - 1.
s*(s - 1)**3*(s + 1)
Factor 3*l + 8 + 2*l**2 + 9*l - 4*l.
2*(l + 2)**2
Let i(k) be the third derivative of 0 + 1/120*k**5 + 0*k - 10*k**2 - 1/420*k**7 + 0*k**3 + 1/240*k**6 - 1/48*k**4. Let i(u) = 0. What is u?
-1, 0, 1
Let y = 86 - 80. Factor 1 - 2*j**3 - 2 - 7 + 0*j**3 + y*j**2.
-2*(j - 2)**2*(j + 1)
Let h(u) be the second derivative of -u**5/10 + 35*u**4/2 - 1225*u**3 + 42875*u**2 + 32*u. Factor h(n).
-2*(n - 35)**3
Suppose -2*d + 2 = k - 9, 3*k - 18 = -d. Suppose -p**2 + 3*p + 7*p**2 - p**3 + 0*p + 4*p**d = 0. Calculate p.
-1, 0
Suppose -4*a - 5*z = -15, -5*a = -3*a - z + 3. Determine f so that -9/8*f**5 + a*f**2 + 3/8*f**4 + 0 + 0*f + 3/4*f**3 = 0.
-2/3, 0, 1
Let o(v) be the third derivative of v**6/840 - 31*v**5/420 - v**4/168 + 31*v**3/42 - 64*v**2 + 2*v. Factor o(i).
(i - 31)*(i - 1)*(i + 1)/7
Let n(v) = -v**2 + 18*v + 65. Let m be n(21). Let b(l) be the first derivative of 8/21*l**3 + 5/7*l**m + 4/7*l - 1 + 1/14*l**4. Solve b(d) = 0.
-2, -1
Let q be (5 - (-46)/(-8))*(-6)/297. Let l(d) be the second derivative of 4*d + 1/11*d**3 + 0 - q*d**4 - 2/11*d**2. Suppose l(p) = 0. Calculate p.
1, 2
Factor 4/3*s**3 - 1/3*s**4 + 0*s - s**2 + 0.
-s**2*(s - 3)*(s - 1)/3
Let r(f) be the first derivative of -3*f**4/16 - 9*f**3/4 + 75*f**2/8 + 99*f/4 + 253. Suppose r(a) = 0. What is a?
-11, -1, 3
Let p be 3 + 28/(-5) + 3. Suppose -10*n = -21*n + 6*n. Factor 2/5 - p*a**2 + n*a.
-2*(a - 1)*(a + 1)/5
Suppose 3*z - m = 9, -z = -0*m - 5*m - 3. Factor -s**5 + s**2 - 32*s**z + 69*s**3 - 36*s**3 - s**4.
-s**2*(s - 1)*(s + 1)**2
Let h = 2063 + -8251/4. Let i be 3/8*(-4)/(-6). Determine q so that -i*q**2 + 0*q + h = 0.
-1, 1
Let s(p) be the first derivative of 1/25*p**5 + 1/5*p**3 - 2/5*p**2 + 1/5*p**4 - 4/5*p + 10. Factor s(l).
(l - 1)*(l + 1)*(l + 2)**2/5
Let i = 82172/11 - 7470. Suppose -2/11*k**2 + 4/11 + i*k = 0. Calculate k.
-1, 2
Let z(w) be the second derivative of -14*w - 1/7*w**4 - 32/7*w**2 + 8/7*w**3 + 1/140*w**5 + 0. Let z(j) = 0. What is j?
4
Let v(j) = -4*j**5 + 2*j**4 - j**3 + 3*j**2. Let q be (9 - 8) + 2/1. Let l(i) = i**5 - i**2. Let k(a) = q*l(a) + v(a). Factor k(d).
-d**3*(d - 1)**2
Let q(i) = -i**2 - 10*i + 8. Let g be q(-9). Let f = -33/2 + g. Factor 1/3 - f*s**2 + 1/6*s + 1/6*s**4 - 1/6*s**3.
(s - 2)*(s - 1)*(s + 1)**2/6
Let n = 48 + -43. Let -3*w**3 - 4*w**4 - w**n + 4*w**2 - w + 10*w - 5*w = 0. Calculate w.
-2, -1, 0, 1
Suppose -z = -4*z - 3. Let w be 4 + -4 + (z - 0). Let x(m) = -3*m**3 + 15*m**2 - 12*m + 24. Let i(v) = -v - 1. Let f(t) = w*x(t) - 12*i(t). Factor f(j).
3*(j - 2)**2*(j - 1)
Suppose 0*p - p = -2. Suppose p*l = -5*o - 2*l + 30, -2*o + 2*l - 6 = 0. Factor -1/2 + 1/4*n**o + 1/4*n.
(n - 1)*(n + 2)/4
Solve 3/2*c + 1/4*c**2 - 7/4 = 0 for c.
-7, 1
Let k(m) be the first derivative of -2 + 0*m - 3/16*m**4 - 3/8*m**2 - 1/2*m**3. What is j in k(j) = 0?
-1, 0
Let c(n) be the third derivative of 5*n**6/12 - 49*n**5/12 + 95*n**4/12 - 20*n**3/3 + n**2 - 3*n. Suppose c(l) = 0. Calculate l.
2/5, 1/2, 4
Let a(u) be the second derivative of u**5/16 + 5*u**4/24 - 35*u**3/24 + 5*u**2/2 - 2*u - 74. Suppose a(j) = 0. Calculate j.
-4, 1
Let k = 7703/28 + -1073/4. Factor 24*v - k + 93/7*v**2 + 12/7*v**3.
3*(v + 4)**2*(4*v - 1)/7
Factor 21/8 + 209/8*g - 5/4*g**2.
-(g - 21)*(10*g + 1)/8
Suppose -4 = -4*h + 3*v, -4*h - 5*v + 3 = -1. Let d be h/(-2) + 21/28. Determine c, given that -d*c**2 + 3/2*c - 9/4 = 0.
3
Factor 4/9*l**2 - 4/9*l + 4/9*l**3 + 0 - 4/9*l**4.
-4*l*(l - 1)**2*(l + 1)/9
Let c(d) be the first derivative of -10 + 1/2*d - 13/8*d**2 + 7/4*d**3. Determine x, given that c(x) = 0.
2/7, 1/3
Determine v so that 216/5 + 8/5*v**4 - 14*v**3 - 18/5*v**2 + 864/5*v = 0.
-3, -1/4, 6
Suppose 3*y = -19*y - 25*y + 94. Let q be (-6)/(-4)*3/9. Suppose -1/2*h**y + 0*h + 0 - q*h**3 = 0. What is h?
-1, 0
Let r(f) be the first derivative of -f**5/15 + 5*f**4/6 + 4*f**3 + f**2/2 - 27. Let s(o) be