2/3*p**2 = 0. Calculate p.
-1, 0
Suppose -5*d + 82 = -3*d. Suppose -3*g - 11 = -o - 2*g, -5*g + d = 3*o. Factor -o - 26*c**3 + 7*c**2 + 12*c**2 + 6*c**4 + 10*c + 3*c**2.
2*(c - 3)*(c - 1)**2*(3*c + 2)
Let j = 21302 - 21300. Find k, given that 147*k + 475/3*k**j - 54 + 7/3*k**4 - 121/3*k**3 = 0.
-1, 2/7, 9
Let t be ((-91)/35)/(-1) + (-4)/2. What is d in -t*d**4 + 3/5*d**3 + 3/5*d**2 - 3/5*d + 0 = 0?
-1, 0, 1
Let w = -11 + 14. Determine j so that 4*j**2 - 791*j**3 + 791*j**w - 3*j**4 + j**5 = 0.
-1, 0, 2
Let i(q) be the first derivative of -5*q**3/3 - 20*q**2 - 60*q - 8. Let i(s) = 0. Calculate s.
-6, -2
Let d(i) be the first derivative of 7*i**4/16 - 13*i**3 - 117*i**2/8 + 23*i/2 + 39. Factor d(p).
(p - 23)*(p + 1)*(7*p - 2)/4
Let h(t) be the first derivative of 0*t**2 - 4/5*t**5 + 0*t - 8*t**3 + 5*t**4 - 21. Suppose h(a) = 0. Calculate a.
0, 2, 3
Let k be 4 + 154/(-45) + 4/18. Let p = k - 2/5. Factor -2/5 + 0*t**3 + 4/5*t**2 - p*t**4 + 0*t.
-2*(t - 1)**2*(t + 1)**2/5
Suppose 21*q = -57*q + 208 + 182. Solve 0 + 0*f**2 + 0*f - 2/9*f**q - 4/9*f**4 - 2/9*f**3 = 0.
-1, 0
Factor -92/11*d**3 + 6*d**4 - 18/11*d - 18/11*d**5 + 60/11*d**2 + 2/11.
-2*(d - 1)**3*(3*d - 1)**2/11
Let f be 1902/54 + 4/(-18). Solve 44*s**3 + 17*s**2 + 3*s - f*s**3 - 5*s**2 = 0.
-1, -1/3, 0
Let f(k) be the first derivative of k**3/12 + k**2/4 - 6. Factor f(i).
i*(i + 2)/4
Let o(g) = -7*g - 78. Let w be o(0). Let t = 78 + w. Determine r so that -4/7*r**2 + t + 12/7*r = 0.
0, 3
Let c(r) be the first derivative of r**9/756 - r**8/140 + r**7/70 - r**6/90 + 10*r**3/3 - 40. Let j(d) be the third derivative of c(d). Factor j(w).
4*w**2*(w - 1)**3
Let y(r) = 5*r**2 + 13*r. Let g(o) be the third derivative of -o**5/10 - o**4/2 - 7*o**2. Let d(p) = 2*g(p) + 3*y(p). Suppose d(l) = 0. Calculate l.
-5, 0
Suppose -22*r + 19*r + 15 = 0. Let a(l) = 4*l**4 - 20*l**3 + 3*l**2 + 3*l + 5. Let o(q) = q**3 + q**2 - 1. Let x(g) = r*o(g) + a(g). Let x(j) = 0. Calculate j.
-1/4, 0, 1, 3
Let b be (-119)/(-34) - (-2 + 4). Factor 0 + b*k**2 + 1/2*k**3 + k.
k*(k + 1)*(k + 2)/2
Let r(n) be the second derivative of -n**6/600 + n**5/150 - n**4/120 - 15*n**2/2 - 16*n. Let h(p) be the first derivative of r(p). What is v in h(v) = 0?
0, 1
Let q(a) be the first derivative of a**3/9 - a/3 + 69. Let q(h) = 0. Calculate h.
-1, 1
Let b be ((-135)/(-108))/(57/45 - (-8)/20). Let k = -1 + 3. Solve -3/2*l**k + 3/4*l + 3/2 - b*l**3 = 0.
-2, -1, 1
Let z(r) be the first derivative of -2*r**6/21 + 16*r**5/7 - 144*r**4/7 + 576*r**3/7 - 864*r**2/7 - 205. Suppose z(u) = 0. Calculate u.
0, 2, 6
Let h(a) be the first derivative of 1/2*a**4 - a**3 - 1/10*a**5 - 1/2*a - 3 + a**2. Let h(z) = 0. Calculate z.
1
Let n = -65 - -70. Suppose -5*f + 4*p = 8 - 22, n*p + 13 = 4*f. Factor -4/9 + 4/9*m**f - 2/9*m + 2/9*m**3.
2*(m - 1)*(m + 1)*(m + 2)/9
Let j(h) be the first derivative of 13 - 6*h + 9/2*h**2 + h**3 - 9/4*h**4 + 3/5*h**5. Factor j(v).
3*(v - 2)*(v - 1)**2*(v + 1)
Let r(k) be the third derivative of k**6/300 - 7*k**4/15 - 16*k**3/5 - k**2 + 2. Factor r(w).
2*(w - 6)*(w + 2)*(w + 4)/5
Let w be (-45)/75*15/(-24). Factor -15/8*i + w*i**2 + 9/4.
3*(i - 3)*(i - 2)/8
Let t be 0*(-4)/12*(12 - 13). Let g(q) be the second derivative of 1/126*q**7 - 1/60*q**5 + 0*q**2 - 1/36*q**4 + t*q**3 + 0 + 1/90*q**6 - 12*q. Factor g(m).
m**2*(m - 1)*(m + 1)**2/3
Let w(p) = -p**3 + 4*p**2 - p - 3. Let j be w(3). Let f(g) be the second derivative of -1/2*g**j - 4*g + 0*g**2 + 0 - 1/4*g**4. Let f(n) = 0. Calculate n.
-1, 0
Let v(r) be the third derivative of r**5/5 + 43*r**4/6 + 80*r**3/3 - 33*r**2 - 4*r. Determine k, given that v(k) = 0.
-40/3, -1
Let a(s) be the third derivative of -s**6/180 - s**5/60 + s**4/2 + 41*s**3/6 - 6*s**2. Let u(i) be the first derivative of a(i). Solve u(c) = 0 for c.
-3, 2
Factor -14/9*i**2 - 8/9 + 22/9*i.
-2*(i - 1)*(7*i - 4)/9
Let l(n) be the second derivative of n**7/105 + n**6/75 - n**5/50 - n**4/30 - 390*n. Factor l(p).
2*p**2*(p - 1)*(p + 1)**2/5
Let z(j) be the third derivative of j**5/12 - 15*j**4/2 + 270*j**3 - 227*j**2. Let z(f) = 0. What is f?
18
Let b(d) be the third derivative of -d**6/480 + 5*d**5/48 - 25*d**4/12 + 125*d**3/6 + 140*d**2. Determine g, given that b(g) = 0.
5, 10
Suppose 7*g - 8*g + 3*o = 4, -10 = 2*g - 4*o. Let i be (-11)/35 - (g - 256/(-40)). Determine x so that i*x - 2/7*x**2 - 2/7*x**3 + 2/7 = 0.
-1, 1
Let k(i) be the first derivative of 11*i + 1/8*i**5 + 1/12*i**3 - 4 - 1/2*i**2 + 1/3*i**4. Let j(z) be the first derivative of k(z). Factor j(u).
(u + 1)**2*(5*u - 2)/2
Let r(j) be the third derivative of -j**6/40 + 11*j**5/20 - 7*j**4/8 - 147*j**3/2 + 274*j**2. Factor r(c).
-3*(c - 7)**2*(c + 3)
Let d = 3601 - 18004/5. Find p such that d + 1/5*p**2 + 2/5*p = 0.
-1
Let a = 1/6060 - 17579/30300. Let g = -2/25 - a. Suppose -g*n**2 - 1 - 3/2*n = 0. What is n?
-2, -1
Let t be 24/5 + -5 + (-1053)/135 + 8. Find c, given that t + c - 1/5*c**2 = 0.
0, 5
Suppose -19*l - 2290 = 180. Let o be -1*45/l + 4/26. Factor o*i**2 + 3/2 + 1/2*i**3 - 5/2*i.
(i - 1)**2*(i + 3)/2
Let o(t) = -18*t**3 - 2*t**2 + 373*t - 627. Let q(k) = -k**3 + k**2 + k + 1. Let x(v) = o(v) + 2*q(v). Find a such that x(a) = 0.
-5, 5/2
Let r(i) be the third derivative of i**6/30 - i**5/3 + 4*i**4/3 - 8*i**3/3 - i**2 - 21. Factor r(s).
4*(s - 2)**2*(s - 1)
Let a = 181 + -177. Let m(z) be the first derivative of 0*z - 1/2*z**a - 4/3*z**3 - 4 - z**2. Factor m(y).
-2*y*(y + 1)**2
Let z(j) be the third derivative of -38*j**2 + 4/3*j**5 + 0*j**3 + 40/3*j**4 + 1/24*j**6 + 0 + 0*j. Suppose z(m) = 0. Calculate m.
-8, 0
Let j(h) = 3*h + 17. Let m be j(-4). Factor 0*t**4 + 5*t**2 - 19*t - 5*t**4 + 5*t**m - 15*t**3 + 29*t.
5*t*(t - 2)*(t - 1)*(t + 1)**2
Suppose -140 - 15 = -5*n. Factor -111*o**2 + 36 + 5*o + n*o**2 + 97*o + 14*o**3.
2*(o - 3)**2*(7*o + 2)
Let z(y) be the third derivative of y**5/240 + 5*y**4/16 + 75*y**3/8 + 97*y**2. Solve z(k) = 0 for k.
-15
Let p(y) be the third derivative of y**5/40 - 151*y**4/8 + 22801*y**3/4 + 372*y**2. Factor p(u).
3*(u - 151)**2/2
Let s(u) = 4*u - 10*u - 9 - 5*u**2 + 14*u. Let m(c) = -c**2 - 1. Let f(o) = 3*m(o) - s(o). Find a such that f(a) = 0.
1, 3
Suppose -2*s - 3*s = -60. Let t = -9 - -18. Factor -4*a**2 + 6*a - 7*a + t*a + s.
-4*(a - 3)*(a + 1)
Let f be 4/22 - 256/(-44). Factor -18*b**2 + 6 + 8*b - 12 + 10 + f*b.
-2*(b - 1)*(9*b + 2)
Let c(z) = -95*z**3 - 120*z**2 + 60*z + 155. Let n be (21/28)/(1/4). Let j(g) = 8*g**3 + 10*g**2 - 5*g - 13. Let a(x) = n*c(x) + 35*j(x). Factor a(k).
-5*(k - 1)*(k + 1)*(k + 2)
Let q = 34533/5 - 6905. Determine g so that 6*g + 8/5 - q*g**2 = 0.
-1/4, 4
Let f = 14 + -12. Suppose -r = -f*r - o + 4, -5*r + 2*o - 1 = 0. What is v in -3 - r + 4 + 3*v**2 - 3*v = 0?
0, 1
Factor -2/7*m**3 - 18/7*m - 24/7*m**2 + 44/7.
-2*(m - 1)*(m + 2)*(m + 11)/7
Let b(o) be the first derivative of -5*o**3/18 - 20*o**2/3 - 65*o/2 - 31. Factor b(p).
-5*(p + 3)*(p + 13)/6
Suppose -260 - 1020 = -8*p. Let k = p - 156. Find h, given that -8 - 1/2*h**2 - k*h = 0.
-4
Let 7/2*o**3 + 25/6*o - 1/3 - 22/3*o**2 = 0. Calculate o.
2/21, 1
Let o(q) be the second derivative of -1/3*q**4 + 0 + 1/21*q**7 + 2/15*q**6 + 0*q**5 - 1/3*q**3 - 14*q + 0*q**2. Factor o(p).
2*p*(p - 1)*(p + 1)**3
Let d(q) be the first derivative of 3*q**5/20 + q**4/2 + q**3/2 - 15*q + 18. Let o(s) be the first derivative of d(s). Factor o(a).
3*a*(a + 1)**2
Let h = -100 - -100. Let d be h/14 + (-4)/(-14). Factor 0*k**2 + 2/7*k**3 + 0 - d*k.
2*k*(k - 1)*(k + 1)/7
Suppose 224*i - 42*i = 364. Determine c, given that -2*c**4 + 7/4*c - 1/4 - 9/2*c**i + 5*c**3 = 0.
1/2, 1
Let -39*w**3 + 15*w - 50*w**3 + 70*w**2 - 25*w**4 - 66 - 5*w**5 + 79*w**3 + 21 = 0. What is w?
-3, -1, 1
Suppose 4704 + 10083/2*d**2 - 9576*d - 171*d**3 + 3/2*d**4 = 0. Calculate d.
1, 56
Let h(n) = 13*n**3 + 184*n**2 - 10*n. Let v(l) = -32*l**3 - 460*l**2 + 24*l. Let w(i) = 12*h(i) + 5*v(i). Let w(a) = 0. What is a?
-23, 0
Suppose 11669*m = 11658*m + 44. Find g, given that 0*g**2 + 0*g**3 + 2/19*g**5 + 0 + 0*g**m + 0*g = 0.
0
Let d(v) be the first derivative of -5*v**3/3 - 35*v**2 + 75*v + 5. Determine l so that d(l) = 0.
-15, 1
Find b such that -22*b**4 - 2*b**3 - 6*b**3 - 35*b**4 + 21*b**5 - 10*b**3 = 0.
-2/7, 0, 3
Let s(t) be the third derivative of -t**8/2240 - 11*t**7