4 - h**2 + 2*h + 1. Let y(z) = -z**5 + 18*z**4 - 45*z**3 + 48*z**2 + 12*z + 6. Let p(c) = 6*o(c) - y(c). Let p(k) = 0. What is k?
0, 3, 6
Let c(j) = j**3 + 7*j**2 + 8*j - 2. Let l be c(-4). Let n = l + -27/2. Suppose a + n*a**2 - 3/2 = 0. What is a?
-3, 1
Let y be (57/(-76))/(((-468)/32)/13). Let -16/3*b - 8/3*b**2 + 4/3*b**3 + y*b**4 + 0 = 0. Calculate b.
-2, 0, 2
Let c(t) be the third derivative of -t**6/540 - t**5/30 + 4*t**3 - 18*t**2 - 7. Factor c(v).
-2*(v - 3)*(v + 6)**2/9
Let w(y) = -9*y**2 + 12*y + 7. Suppose -2*x - 3*k + 44 = k, 66 = 3*x - k. Let b(o) = -o**2 - 1. Let g(p) = x*b(p) - 2*w(p). Find m such that g(m) = 0.
-3
Suppose 12/5*i**3 - 3 + 44/5*i + 1/5*i**4 - 42/5*i**2 = 0. What is i?
-15, 1
Factor -3/4*y**2 + 11/4*y - 3/2 + 1/4*y**4 - 3/4*y**3.
(y - 3)*(y - 1)**2*(y + 2)/4
Let m be 1/(-3)*28782/52. Let z = m + 185. Determine q so that -q**4 + q**2 + 1/2*q**3 + 0 - z*q**5 + 0*q = 0.
-2, -1, 0, 1
Let m(w) be the second derivative of 0 - 9/14*w**2 - 23*w + 0*w**3 + 1/84*w**4. Factor m(i).
(i - 3)*(i + 3)/7
Find d, given that 3*d**5 + 7 + 10*d**2 - 11*d**5 - 7*d**5 - 12 + 30*d**3 - 5*d**4 - 15*d = 0.
-1, -1/3, 1
Let -211*w**3 + 4*w**2 + 203*w**3 + 9*w + 8 + 43*w + 1 + 15 = 0. Calculate w.
-2, -1/2, 3
Let b(d) be the first derivative of -48*d + 58 + 16*d**2 - 4/3*d**3. Factor b(z).
-4*(z - 6)*(z - 2)
Let p(v) = -v**5 + v**4 - v**3 - 1. Let l(g) = g**5 - 31*g**4 + 81*g**3 - 85*g**2 + 30*g - 4. Let u(c) = l(c) - 4*p(c). Factor u(d).
5*d*(d - 3)*(d - 2)*(d - 1)**2
Let q(f) = 21*f**4 - 38*f**3 + 7*f**2 - 3*f - 3. Let l(g) = -170*g**4 + 305*g**3 - 55*g**2 + 25*g + 25. Let c(r) = -3*l(r) - 25*q(r). Factor c(h).
-5*h**2*(h - 2)*(3*h - 1)
Let o(i) be the third derivative of 0 - 1/150*i**6 + 0*i**5 + 0*i + 1/30*i**4 - 1/15*i**3 + 1/525*i**7 + 5*i**2. Factor o(j).
2*(j - 1)**3*(j + 1)/5
Let c be 201/(-469) + 75/126. Factor -1/2*q - c*q**2 - 1/3.
-(q + 1)*(q + 2)/6
Find h, given that -65*h**2 - 446 + 125*h**3 - 12*h**4 - 43*h**4 - 5*h**5 + 446 = 0.
-13, 0, 1
Factor -3*t - 3/4*t**2 - 9/4.
-3*(t + 1)*(t + 3)/4
Let p = 43 + -28. Suppose 2*j = k + j - 2, 5*j - p = 0. Suppose 3*x**5 + 0*x**5 - 3*x**5 + 16*x**4 + 4*x**k + 16*x**3 = 0. Calculate x.
-2, 0
Let l(q) be the first derivative of -2*q - 4*q**4 + 5*q**2 - 4/3*q**3 - 5. Factor l(j).
-2*(j + 1)*(2*j - 1)*(4*j - 1)
Let c = -6805 - -13613/2. Find k, given that c*k**2 + 3/8*k**5 + 3*k**3 + 0 + 15/8*k**4 + 0*k = 0.
-2, -1, 0
Let m(f) = 39*f**3 + 62*f**2 - 49*f - 52. Let w(p) = 119*p**3 + 187*p**2 - 149*p - 157. Let s(j) = -7*m(j) + 2*w(j). Let s(l) = 0. What is l?
-2, -5/7, 1
Let w(b) = 20*b**2 - 20. Let x be (-133)/(-35) + 1/5. Let q be 1/(x - 5)*-11. Let g(y) = 4*y**2 - 4. Let r(j) = q*g(j) - 2*w(j). Factor r(v).
4*(v - 1)*(v + 1)
Let w(i) = i**2 - 16*i - 8. Let k be w(17). Let c be 1/(-4) + (369/20)/k. What is n in 21/5*n**3 + 36/5*n**2 - 6/5 + c*n = 0?
-1, 2/7
Determine y, given that 300*y + 17 - 30 + 9 + 16 + 1875*y**2 = 0.
-2/25
Let m(a) = 218*a**2 + 426*a - 2. Let w(l) = 436*l**2 + 850*l - 2. Let q(p) = 14*m(p) - 6*w(p). Factor q(i).
4*(i + 2)*(109*i - 2)
Let y be (2/4)/(2/12). Find l, given that -10*l + y*l - l**2 + 7*l = 0.
0
Let l be 27/(-18)*(-16)/3. Suppose 0 = 3*d - 4*u - 8, d - l = 4*u - 0*u. Factor d + 6/5*p**2 - 3/5*p**4 - 3/5*p**3 + 0*p.
-3*p**2*(p - 1)*(p + 2)/5
Determine v so that 2*v**2 - 2/3*v**4 - 4/3*v + 0 + 0*v**3 = 0.
-2, 0, 1
Let y(a) be the third derivative of 5/1344*a**8 + 1/56*a**7 - 5*a**2 + 0*a**5 + 0*a + 0*a**3 + 0 + 0*a**4 + 1/48*a**6. Factor y(n).
5*n**3*(n + 1)*(n + 2)/4
Let n(h) be the first derivative of -7*h**5/160 + h**4/8 + h**3/12 - 11*h - 12. Let g(d) be the first derivative of n(d). Factor g(a).
-a*(a - 2)*(7*a + 2)/8
Solve 52/3 + 2/3*p**2 + 10*p = 0 for p.
-13, -2
Let n(k) = 6*k**2 - 31*k - 15. Let q(y) = 3*y. Let i be q(-2). Let f = i + 4. Let v(x) = -x**2 + 6*x + 3. Let m(t) = f*n(t) - 11*v(t). Solve m(o) = 0 for o.
-3, -1
Suppose -111 + 66 = -3*v. Suppose 0 = 14*t - v*t. Solve -3/5*q**4 - 6/5*q**2 + 8/5*q**3 + 1/5 + t*q = 0.
-1/3, 1
Let k(z) be the second derivative of 4*z**6/15 + 3*z**5/5 - 2*z**4 - 26*z**3/3 - 12*z**2 + 236*z. Determine q so that k(q) = 0.
-3/2, -1, 2
Factor 64*k - 607 + 607 - k**4 - 15*k**3 - 48*k**2.
-k*(k - 1)*(k + 8)**2
Let i(w) = 2*w**4 + 12*w**3 + 14*w**2 - 36*w - 4. Let n(f) = f**4 + f**3 + 2*f**2 - 1. Let c(t) = i(t) - 4*n(t). Factor c(p).
-2*p*(p - 3)**2*(p + 2)
Let r be (0 + -1)*(-1 - (-6)/9). Let u = -43/2 + 131/6. Suppose -u*i + 1/3*i**4 - i**2 + 2/3 + r*i**3 = 0. What is i?
-2, -1, 1
Let g(o) be the first derivative of -3/10*o**2 - 10 + 0*o - 3/5*o**3. Suppose g(p) = 0. Calculate p.
-1/3, 0
Let v = 159756/7 + -22822. Factor -4/7*l**2 + 4/7 - v*l**3 + 2/7*l.
-2*(l - 1)*(l + 1)*(l + 2)/7
Let q(s) be the third derivative of 0*s + 1/30*s**4 - 14*s**2 + 0 + 1/1050*s**7 + 1/150*s**6 + 1/30*s**3 + 1/50*s**5. Solve q(c) = 0.
-1
Let j(h) be the second derivative of h**4/60 - h**3/15 - 4*h**2/5 - 13*h - 6. Factor j(c).
(c - 4)*(c + 2)/5
Let z(s) be the third derivative of s**8/784 - s**6/70 + s**5/70 + 3*s**4/56 - s**3/7 + 28*s**2. Determine c, given that z(c) = 0.
-2, -1, 1
Let c(y) be the third derivative of 5*y**8/144 - 23*y**7/126 + 3*y**6/8 - 13*y**5/36 + 5*y**4/36 - 237*y**2. Factor c(z).
5*z*(z - 1)**3*(7*z - 2)/3
Let x = -2655 + 7966/3. Factor -x*f**3 + 1/3 + 1/3*f - 1/3*f**2.
-(f - 1)*(f + 1)**2/3
Let b be ((-18)/24)/(6/(-16)). Factor 15*s - 17*s + b - 2 + s**2.
s*(s - 2)
Solve -56/15*h**2 + 2/15*h**5 - 32/15*h + 2/15*h**4 + 0 - 8/5*h**3 = 0 for h.
-2, -1, 0, 4
Let s = -9 + 12. Suppose 119*n**4 + 105*n**4 + 36*n**2 - 160*n**4 - 96*n**s = 0. Calculate n.
0, 3/4
Let b(l) = -l**2 - 38*l + 82. Let d be b(-40). Factor -2/9*p**d + 0 + 4/9*p.
-2*p*(p - 2)/9
Let b(z) be the third derivative of z**6/24 - 47*z**5/60 - 23*z**4/6 + 22*z**3/3 - 822*z**2. Find q, given that b(q) = 0.
-2, 2/5, 11
Let i(p) be the first derivative of p**3/3 + 71*p**2 + 5041*p - 164. Factor i(g).
(g + 71)**2
Suppose -5*y = 0, 5*t = -4*y - 102 - 63. Let z be t/(-9) - (-6)/(-9). Determine j, given that -3 + z - j**2 = 0.
0
Let a(f) be the third derivative of -f**8/12600 + f**6/900 - f**5/450 + f**3 + 7*f**2 - f. Let s(v) be the first derivative of a(v). Factor s(u).
-2*u*(u - 1)**2*(u + 2)/15
Let p(j) = -2*j**2 - 5*j. Let f(k) = 3*k**2 + 6*k. Let i be (10/(5 - 3))/((-2)/2). Let y(r) = i*p(r) - 4*f(r). Factor y(z).
-z*(2*z - 1)
Let j = -43 - -30. Let p = -7 - j. Factor -p*l**5 - 2*l**4 - 197 + 4*l**3 + 197.
-2*l**3*(l + 1)*(3*l - 2)
Let a(s) be the second derivative of -7*s**7/12 + s**5/6 + 7*s**2/2 - 16*s. Let c(u) be the first derivative of a(u). Factor c(v).
-5*v**2*(7*v - 2)*(7*v + 2)/2
Let i(d) = -5*d**2 - 24*d - 20. Let w(z) = -5*z**2 - 25*z - 20. Suppose 5*f + 5 = 0, 29 = -5*r - 0*f - 4*f. Let m(h) = r*i(h) + 4*w(h). Factor m(c).
5*(c + 2)**2
Let c(s) = -s**3 - 10*s**2 - 11*s + 1. Let n be c(-9). Suppose r + 22 = -5*l, 0*r + 2*r = -5*l - n. Factor p**r + 1 + 4 - 5.
p**3
Find p such that 13/2*p - 21/2*p**2 + 15/2*p**3 - 2*p**4 - 3/2 = 0.
3/4, 1
Let h(n) = -n**3 + 2*n**2. Let u(w) = -5*w**3 + 20*w**2 + 21*w + 18. Let j(y) = -6*h(y) + u(y). Find k, given that j(k) = 0.
-3, -2
Let i = 244/635 - -2/127. Let m be -2*9/12 + -11*(-795)/550. Solve i - 24/5*n + m*n**2 = 0.
1/6
Let t be (0 + 0)/(-5 + -16 + 22). Suppose 0*m**2 + t - 4/15*m**3 - 2/5*m**4 - 2/15*m**5 + 0*m = 0. What is m?
-2, -1, 0
Let -6*i - 10*i**2 - 14*i**2 - 13*i**2 + 39*i**2 = 0. What is i?
0, 3
Let k = 440 + -438. Factor 3/5*f**5 - 6/5*f - 9/5*f**3 + 3*f**k + 0 - 3/5*f**4.
3*f*(f - 1)**3*(f + 2)/5
Determine s, given that 8*s**2 - 4*s**3 + 4*s + 12 - 4 - 14 - 2 = 0.
-1, 1, 2
Let i(p) be the second derivative of -p**6/30 + 3*p**5/20 + p**4/4 - 11*p**3/6 + 3*p**2 + 58*p. Determine f, given that i(f) = 0.
-2, 1, 3
Let t be 0 - (-1 - 6) - 2. Let a(n) be the first derivative of 1/6*n**3 + 0*n**2 - 5 - 1/10*n**t + 0*n**4 + 0*n. Factor a(h).
-h**2*(h - 1)*(h + 1)/2
Let u = 471 - 471. Let r(d) be the third derivative of u - 1/20*d**5 + 0*d + 1/60*d**6 - 2*d**2 + 1/24*d**4 + 0*d**3. Suppose r(x) = 0. Calculate x.
0, 1/2, 1
Let q = 418/145 + -72/29. Let -q*j + 2/5*j**4 - 2/5*j**2 + 2/5*j**3 + 0 = 0. What is j?
-1, 0, 1
Let o(m) be the first derivative of -m**5/50 - m**4/12 - 2*m**3/15 - m**2/10 + 3