+ 1)*(z + 2)**2
Suppose 5*c = -0*c - 4*s + 23, 1 = c - s. Suppose c = 2*n - 3. Determine v so that 4*v + 3*v + 40*v**n + v + 36*v**2 = 0.
-1/2, -2/5, 0
Factor 70*w**2 - 44*w - 69*w**2 - 18 - 27.
(w - 45)*(w + 1)
Let i(x) be the first derivative of x**6 - 26*x**5/35 - 19*x**4/14 + 26*x**3/21 - 2*x**2/7 + 58. Solve i(o) = 0.
-1, 0, 2/7, 1/3, 1
Let f = -51 - -45. Let v be (-11)/f*2 + 5 + -8. Suppose v*d - 2/3*d**3 - 2/3*d**2 + 2/3 = 0. What is d?
-1, 1
Let k(q) be the second derivative of -q**7/315 - 2*q**6/75 - q**5/75 + 2*q**4/9 + 3*q**3/5 + 2*q**2/3 + 9*q + 1. Let k(z) = 0. What is z?
-5, -1, 2
Let p(n) = -2*n**5 - 2*n**4 + 5*n**3 + 17*n**2 - 3*n - 9. Let k(t) = -3*t**5 - 5*t**4 + 9*t**3 + 33*t**2 - 6*t - 18. Let a(s) = -3*k(s) + 5*p(s). Factor a(z).
-(z - 3)**2*(z - 1)*(z + 1)**2
Let k(w) be the third derivative of -w**5/360 - w**4/72 - w**3/36 + 200*w**2. Factor k(v).
-(v + 1)**2/6
Let i(q) be the first derivative of q**3/12 + 2*q**2 + 39*q/4 - 384. Determine x, given that i(x) = 0.
-13, -3
Suppose 5*n - 1121*k - 5 = -1116*k, 0 = n - 4*k + 2. Find w such that 0 - 4/9*w - 14/9*w**3 + n*w**2 = 0.
0, 2/7, 1
Let d be (2 - (-1 - -2)/(-1))/1. Suppose -1/2 - 1/8*n**d - 5/8*n**2 - n = 0. Calculate n.
-2, -1
Solve -f**2 + 95*f - 38*f + 16 - 42*f = 0.
-1, 16
Let u be ((-1290)/(-135) - 9)/(2/20). Factor 14/9*h**3 - u*h - 8/3*h**2 - 4/3.
2*(h - 3)*(h + 1)*(7*h + 2)/9
Let -15/7*h + 0 - 1/7*h**2 = 0. Calculate h.
-15, 0
Factor -25/2*s + 10*s**2 + 5 - 5/2*s**3.
-5*(s - 2)*(s - 1)**2/2
Let k(d) be the second derivative of -4/3*d**4 - 32/3*d**3 + 0 - 1/20*d**5 - 44*d + 0*d**2. Suppose k(p) = 0. What is p?
-8, 0
Let d be (12/(-7))/((-8)/28) - 4. Let g(j) be the first derivative of -5 - 48*j**d - 6*j**4 - 3/5*j**5 - 48*j - 24*j**3. Let g(q) = 0. What is q?
-2
Let v(z) be the third derivative of -z**5/60 + 61*z**4/96 - 5*z**3/8 - 181*z**2 - z. What is q in v(q) = 0?
1/4, 15
Let t be 70/2 - (4 + -7). Suppose -t*s = -41*s. Factor s - 2/5*o + 2/5*o**2.
2*o*(o - 1)/5
Let i(h) be the third derivative of h**8/24 + 8*h**7/315 - 29*h**6/45 + 13*h**5/9 - 49*h**4/36 + 2*h**3/3 + 88*h**2. Suppose i(m) = 0. Calculate m.
-3, 2/7, 1/3, 1
Let s(u) be the third derivative of 0*u**3 + 1/60*u**6 + 0*u + 1/6*u**5 + 0 + 42*u**2 + 0*u**4. Factor s(p).
2*p**2*(p + 5)
Let c(b) be the first derivative of 2*b**3/27 - 188*b**2/9 + 17672*b/9 + 73. Factor c(i).
2*(i - 94)**2/9
Let o(k) be the third derivative of 0*k + k**4 - 1/4*k**5 - 2*k**3 + 0 + 1/40*k**6 + 8*k**2. Find n such that o(n) = 0.
1, 2
Let a be 9 + -5 + -15 + 16. Let d(y) be the second derivative of -7*y - 11/5*y**a + 0 + 0*y**3 - 8/15*y**6 + y**4 + 0*y**2. Solve d(o) = 0.
-3, 0, 1/4
Let o(l) be the first derivative of -l**4/48 + 7*l**3/36 + l**2/24 - 7*l/12 - 27. Factor o(x).
-(x - 7)*(x - 1)*(x + 1)/12
Determine b so that 700*b**2 + 18 - 761*b**2 + 0*b + 15*b + 33*b**3 - 5*b**4 = 0.
-2/5, 1, 3
Solve 0 - 2/11*v**3 + 12/11*v**2 - 10/11*v = 0 for v.
0, 1, 5
Let v = -1410/17 - -7186/85. Factor -v*w - 4*w**2 + 2/5*w**3 + 8/5*w**4 + 2/5*w**5 + 16/5.
2*(w - 1)**2*(w + 2)**3/5
Let g(a) = 10*a**2 - 125*a + 95. Let h(n) = -5*n**2 + 63*n - 46. Let q(j) = -3*g(j) - 5*h(j). Factor q(i).
-5*(i - 11)*(i - 1)
Suppose 232*h - 153 - 135 = 88*h. Solve 195/2*o**3 + 10*o - 70*o**h - 70*o**5 + 215/2*o**4 + 0 = 0 for o.
-1, 0, 1/4, 2/7, 2
Factor 2158*z**4 - 11*z**5 - 16*z**5 + 150*z**2 - 2194*z**4 + 105*z**3.
-3*z**2*(z - 2)*(3*z + 5)**2
Let p(k) be the first derivative of k**4/36 + 5*k**3/9 + 25*k**2/6 + k + 16. Let c(o) be the first derivative of p(o). Factor c(q).
(q + 5)**2/3
Let n be (5 - 13)/(-4) + (-100)/(-38) - 2. Factor -2/19*v**2 + 20/19*v - n.
-2*(v - 5)**2/19
Let t(i) be the first derivative of -4*i**3/9 + 38*i**2/3 - 24*i + 529. Factor t(a).
-4*(a - 18)*(a - 1)/3
Solve -1/3*m**5 + 0*m + 14/3*m**4 + 0*m**2 + 0 - 13/3*m**3 = 0 for m.
0, 1, 13
Let x be (-1*20/16)/(1/(-4)). Let d(l) = l + 7. Let c be d(-5). Factor -215*r**c + 4*r**4 - 2*r**3 + 215*r**2 - 2*r**x.
-2*r**3*(r - 1)**2
Let v be (-2 - 2)*(-37)/2. Suppose j = -j + v. Find g, given that -37*g - g**3 + j*g = 0.
0
Let h = -2543/4 + 1273/2. Factor 0*c + 0 - h*c**2.
-3*c**2/4
Let 23*c**2 - 2*c**5 - 35*c**4 - 3*c**5 - 45*c**3 + 12*c**2 + 21*c + 29*c = 0. Calculate c.
-5, -2, -1, 0, 1
Let f(o) = 7*o**3 - o**2 - 6*o. Let k(q) = -13*q**3 + 2*q**2 + 11*q. Let n = 12 - 2. Let a = n - 4. Let m(g) = a*k(g) + 11*f(g). What is w in m(w) = 0?
0, 1
Let h(u) = -u**2 + 7*u + 20. Let i = -31 - -40. Let a be h(i). What is s in -s**a + 2/3*s + 0 + 1/3*s**3 = 0?
0, 1, 2
Let i be 56/(-140)*(11/((-33)/30) + 5). Factor 2/11*y + 2/11*y**i - 12/11.
2*(y - 2)*(y + 3)/11
Let i = 25348 + -76030/3. Factor 22/3*u + i*u**3 + 32/3*u**2 + 4/3.
2*(u + 1)**2*(7*u + 2)/3
Let c(j) = -3*j**3 - 19*j**2 - 7*j + 19. Let l(v) = -4*v**3 - 29*v**2 - 10*v + 29. Let n(z) = 7*c(z) - 5*l(z). Factor n(r).
-(r - 12)*(r - 1)*(r + 1)
Suppose -32 + 8*k - 1/2*k**2 = 0. Calculate k.
8
Let v(t) be the second derivative of 2/45*t**5 - 2/27*t**3 - 2/189*t**7 - 4*t + 0 + 1/135*t**6 + 1/9*t**2 - 1/27*t**4. Solve v(q) = 0.
-1, 1/2, 1
Suppose 6 = 4*m + 3*v - 13, 5*v + 15 = 5*m. Suppose 5*a + 34 = 3*w, -m*w + 29 = -4*a - 3. Factor 4*j**3 - 4*j**4 - 4*j**3 - 20*j**3 - 16*j**2 + 4*j**w.
-4*j**2*(j + 2)**2
Solve -8/3*f + 10/3*f**2 + 0 + 2*f**3 - 10/3*f**4 + 2/3*f**5 = 0.
-1, 0, 1, 4
Let b(q) = q**5 + q. Let z(h) = -10*h**5 + 25*h**4 - 30*h**3 - 5*h. Let j(o) = -5*b(o) - z(o). Let j(a) = 0. What is a?
0, 2, 3
Let y(l) be the third derivative of l**8/392 + 4*l**7/147 + 19*l**6/210 + 2*l**5/35 - 3*l**4/28 + 7*l**2. What is h in y(h) = 0?
-3, -1, 0, 1/3
Let g(q) be the third derivative of q**6/210 - 3*q**5/35 - 8*q**4/7 - 104*q**3/21 + 75*q**2. Determine i so that g(i) = 0.
-2, 13
Solve -37*h**2 - 4*h**4 + 18*h**2 - 5*h**2 - 28*h**3 = 0 for h.
-6, -1, 0
Let h = 136 - 130. Factor -28 + 1 - 18*t - h*t + 3*t**2.
3*(t - 9)*(t + 1)
Let d be ((-20)/210)/(((-12)/18)/(224/12)). Determine z so that -d*z - 7/3 - 1/3*z**2 = 0.
-7, -1
Let w(j) be the third derivative of 5*j**8/112 - j**7/42 - j**6/3 - j**5/3 - 280*j**2. Solve w(r) = 0 for r.
-1, -2/3, 0, 2
Let s(n) = -120*n**3 + 83*n**2 - 17*n. Suppose 0 = -6*m - 0*m - 48. Let p(f) = -180*f**3 + 125*f**2 - 26*f. Let v(t) = m*s(t) + 5*p(t). Factor v(z).
3*z*(4*z - 1)*(5*z - 2)
Let s(o) = -o**2 - 7. Let g be s(-5). Let b be 2 - (-2)/(g/28). Determine j, given that 3/4*j**2 + 1/4*j + b*j**4 + 3/4*j**3 + 0 = 0.
-1, 0
Let g(f) be the second derivative of f**7/630 - f**6/360 - f**5/60 + 5*f**4/72 - f**3/9 + 3*f**2 - 3*f. Let a(i) be the first derivative of g(i). Factor a(m).
(m - 1)**3*(m + 2)/3
Let q(d) be the first derivative of -d**5/80 - d**4/16 - d**3/12 + 20*d - 13. Let y(u) be the first derivative of q(u). Solve y(k) = 0.
-2, -1, 0
Let l(v) = -v**3 - 8*v**2 + 9*v + 2. Let t be l(-9). Let o(n) = -n + 8. Let x be o(5). Factor -k - 5*k + x*k + k**2 + 0*k**t.
k*(k - 3)
Suppose -219/5*s**2 + 16*s**4 - 616/5*s**3 - 32/5 + 44*s = 0. Calculate s.
-4/5, 1/4, 8
Let z(c) = 39*c**3 + 132*c**2 + 141*c - 12. Let h(y) = -3*y**3 - y + 1. Let p(j) = 12*h(j) + z(j). Find i such that p(i) = 0.
-43, -1, 0
Let l be (69 - 6)/(-7)*(1 + -2). Suppose -10*i = -l*i - 3. Find f, given that 2/3*f + 2/9*f**i - 2/9 - 2/3*f**2 = 0.
1
Let b(c) = 9*c**3 + 4*c**2 - 3*c - 3. Let h(m) = 34*m**3 + 18*m**2 - 13*m - 13. Let f(x) = 26*b(x) - 6*h(x). Determine z, given that f(z) = 0.
0, 2/15
Let a be 8 + 3/((-3)/3). Factor -167*k**4 + a*k**3 + 3*k**2 + 164*k**4 - 6*k + k**3.
-3*k*(k - 2)*(k - 1)*(k + 1)
Let t(k) be the first derivative of -k**7/8820 + k**6/3780 + k**5/630 - 4*k**3 + 18. Let v(i) be the third derivative of t(i). Solve v(p) = 0.
-1, 0, 2
Suppose p - 14*b + 13*b - 8 = 0, 10 = 5*b. Let a(c) be the first derivative of 1/3*c**3 + 0*c + p + 0*c**2. Factor a(h).
h**2
Let l be (1/(2 - 12))/((-29)/156). Let q = l - 4/29. Factor 0 - q*k**5 + 2/5*k**4 + 0*k + 2/5*k**3 - 2/5*k**2.
-2*k**2*(k - 1)**2*(k + 1)/5
Let n = 7869/7 + -1123. Solve 10/7*x**3 + n*x - 2/7*x**4 - 16/7*x**2 + 0 = 0.
0, 1, 2
Let -8/5 + 28/5*k**2 + 22*k = 0. What is k?
-4, 1/14
Suppose 0*i - 16 = -2*k - 3*i, -i = -2*k. Suppose 12 + 8 = 10*f. Factor -6*p - 3*p**k + 4*p**2 + p**f + p**2.
3*p*(p - 2)
Let i(v) be the second derivative of 0 - 1/210*v**5 + 0*v**3 - v**2 - 1/84*v*