 - 97*z - 8*z**2.
-4*z**2*(z + 2)
Let g be (-2)/(-21) - 540/(-6237). Factor -2/11*z + 0 - g*z**2.
-2*z*(z + 1)/11
Suppose -19 - 64 + 49 = -17*z. Let -6/5*i + 3/5*i**z + 0 = 0. What is i?
0, 2
Let z = 90 + -86. Let v be (z/160*4)/(2/5). Factor v*j - 1/4*j**2 - 1/4*j**3 + 0 + 1/4*j**4.
j*(j - 1)**2*(j + 1)/4
Let x(y) be the second derivative of -y**6/120 - y**5/20 - 13*y**3/6 - 8*y. Let o(h) be the second derivative of x(h). Factor o(l).
-3*l*(l + 2)
Find m such that -35*m + 2*m**2 - 26 + 0*m**2 - 2*m**2 - 4 - 5*m**2 = 0.
-6, -1
Let q(o) = 10*o**2 + 4*o. Let z(w) = 37*w**2 + 16*w. Let f(g) = -22*q(g) + 6*z(g). Find c, given that f(c) = 0.
-4, 0
What is k in 0 + 38/3*k**2 + 22/3*k**3 + 6*k + 2/3*k**4 = 0?
-9, -1, 0
Let s(c) be the second derivative of 35/6*c**3 + 14*c + 5*c**2 + 0 + 25/12*c**4. Factor s(k).
5*(k + 1)*(5*k + 2)
Let q = -549 + 557. Let x(n) be the first derivative of 2/39*n**3 - 1/13*n**2 + 0*n - q. Suppose x(r) = 0. What is r?
0, 1
Let y(z) be the second derivative of -z**3/6 - 5*z**2/2 - 39*z. Let k be y(-5). Suppose k*i**4 + 0*i + 1/4*i**5 + 0 - 1/4*i**3 + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let w(q) = 10*q**3 + 41*q**2 - 107*q - 51. Let a(v) = 10*v**3 + 42*v**2 - 106*v - 50. Let b(i) = -3*a(i) + 2*w(i). Determine t so that b(t) = 0.
-6, -2/5, 2
Let t = 1/178 - -44/89. Suppose 6*k = 5*k. Factor t*v**2 + k + 0*v.
v**2/2
Let n(i) be the third derivative of -12*i**2 + 3/50*i**5 - 1/300*i**6 - 2/5*i**4 + 0 + 16/15*i**3 + 0*i. Suppose n(s) = 0. Calculate s.
1, 4
Let a(l) be the second derivative of l**4/3 + 22*l**3 - 68*l**2 + 28*l. Find c, given that a(c) = 0.
-34, 1
Let n(f) = 9*f + 2*f - f**2 - 12*f - 1. Let w(t) = -t**2 - 8*t + 3. Let m(r) = 2*n(r) - w(r). Factor m(g).
-(g - 5)*(g - 1)
Suppose 0*p + 95 = -5*p. Let a = p - -21. Factor -2*l - l**4 + 106 + l**2 - 106 + a*l**3.
-l*(l - 2)*(l - 1)*(l + 1)
Let d be (3 + 105/(-28))/(91/14 + -8). Factor -d*p**3 + p**2 + 0 - 1/2*p.
-p*(p - 1)**2/2
Suppose 4/19*f**4 - 6/19*f**3 - 8/19 - 32/19*f**2 - 30/19*f = 0. Calculate f.
-1, -1/2, 4
Solve 12*b**3 + 61*b**4 + 59*b**4 - 20*b**2 - 178*b**4 + 61*b**4 + 5*b**2 = 0 for b.
-5, 0, 1
Let m(y) be the second derivative of 2*y**2 + 1/6*y**4 - y**3 + y + 0. Factor m(l).
2*(l - 2)*(l - 1)
Let s be 1 + 26/6 - (-2715)/(-543). Factor -2/3 + s*n + 1/3*n**2.
(n - 1)*(n + 2)/3
Let l = -167 + 170. Suppose -2*d - l = -7. Factor -1/3*b**d + 1/3 - 1/3*b**3 + 1/3*b.
-(b - 1)*(b + 1)**2/3
Let g(a) be the first derivative of -a**4/126 + a**3/63 + 2*a**2/21 - 10*a + 9. Let m(q) be the first derivative of g(q). Factor m(p).
-2*(p - 2)*(p + 1)/21
Factor 25*r**2 + 206*r - 29*r**3 - 28*r + 72*r + 5*r**4 - 11*r**3.
5*r*(r - 5)**2*(r + 2)
Suppose 30/7*b**2 + 3/7*b**3 + 36/7*b - 216/7 = 0. Calculate b.
-6, 2
Factor 27/2 + 3/4*u**4 - 21/4*u**2 - 9/4*u**3 + 45/4*u.
3*(u - 3)**2*(u + 1)*(u + 2)/4
Let w(l) be the first derivative of -5*l**3/18 - 5*l**2 + 65*l/6 - 142. Determine a so that w(a) = 0.
-13, 1
Suppose -8 = 32*u - 27*u + 3*k, 3*u = 4*k + 30. Suppose -2/5*t**3 - 486/5*t - 54/5*t**u - 1458/5 = 0. What is t?
-9
Factor 6/7*l**3 + 8 + 48/7*l - 50/7*l**2.
2*(l - 7)*(l - 2)*(3*l + 2)/7
Let p(n) = -4*n**4 - 4*n**3 - 2*n**2 + n + 3. Let u(d) = d**4 + d**3 + d**2 - 1. Let c(y) = 4*p(y) + 12*u(y). Let c(r) = 0. Calculate r.
-1, 0, 1
Let g(t) = t**2 - t - 1. Let b(i) = 15*i**2 + 15*i + 18. Let r(p) = b(p) - 18*g(p). Factor r(h).
-3*(h - 12)*(h + 1)
Let l(d) be the first derivative of d**5/35 - 5*d**4/14 + 8*d**3/7 + 5*d**2/7 - 25*d/7 + 79. Solve l(m) = 0 for m.
-1, 1, 5
Let o be (-21)/(-12) + (-6)/(-24). Factor -15*z**4 + 7*z**2 - o*z**3 - 2*z**2 + 18*z**4 - z - 5*z**3.
z*(z - 1)**2*(3*z - 1)
Suppose 2*f - 10 = -2*t, 876*f - 3*t = 878*f - 13. What is d in -20/7*d + 50/7 + 2/7*d**f = 0?
5
Let y = 24 - 19. Let r = -3 + y. Solve -r + 2 + 2*n - 4 + 2*n**2 + 0 = 0.
-2, 1
Let u(b) be the first derivative of b**4 + 64*b**3/3 - 70*b**2 + 72*b + 172. Determine d, given that u(d) = 0.
-18, 1
Factor 9*l**4 + 12 + 42 - 171*l + 4*l**3 + 157*l**2 - 73*l**3 + 20*l**2.
3*(l - 3)**2*(l - 1)*(3*l - 2)
Suppose 7*w - 14 = -3*g + 2*w, 4*g - 9 = 3*w. Factor 1 + g + 21*d**3 - 4 + 4*d + 9*d**4 + 16*d**2.
d*(d + 1)*(3*d + 2)**2
Suppose -23*k + 25*k = -100. Let m be ((-18)/(-27))/(k/(-12) + -2). Find n, given that m + 0*n**2 + 6/13*n - 2/13*n**3 = 0.
-1, 2
Let h(d) be the second derivative of d**5/20 + 19*d**4/12 + 22*d**3/3 - 32*d**2 - 699*d. Factor h(s).
(s - 1)*(s + 4)*(s + 16)
Let f(a) be the second derivative of a**6/10 - 27*a**5/20 + 15*a**4/2 - 22*a**3 + 36*a**2 + 10*a. Find k, given that f(k) = 0.
2, 3
Let k = 9 + -6. Let s(o) = -o**3 + 3*o**2 + 5*o - 3. Let n be s(k). Determine c so that -19*c**5 + n*c**4 + 7*c**5 + 4*c**3 + 6*c - 20*c**2 + 2*c + 8*c**4 = 0.
-1, 0, 2/3, 1
Let b = -61 - -61. Let 115*i**3 + 35*i**2 - 75*i**5 - 26*i**5 - 40*i**4 + b + 21*i**5 + 5 - 35*i = 0. What is i?
-1, 1/4, 1
Suppose -137*g**3 - 2*g**2 - 2*g**4 - 134*g**3 + 273*g**3 + 6*g**2 = 0. What is g?
-1, 0, 2
Let h(n) be the first derivative of 2*n**3/3 - 8*n + 111. Factor h(x).
2*(x - 2)*(x + 2)
Let i = 43 + -40. Factor 15*w**2 - 45*w**4 + w + 10*w**2 + 4*w + 15*w**i.
-5*w*(w - 1)*(3*w + 1)**2
Let j(v) = -50*v - 148. Let l be j(-3). Let c(r) be the second derivative of 0 - 3/2*r**4 + 7*r - l*r**2 + 1/2*r**5 + 7/3*r**3 - 1/15*r**6. Factor c(z).
-2*(z - 2)*(z - 1)**3
Let o = -178171/9 + 19797. Factor 0 - 14/9*k**2 - 2*k**3 - o*k**5 - 10/9*k**4 - 4/9*k.
-2*k*(k + 1)**3*(k + 2)/9
Let y be 16/((-960)/(-36))*(-5)/(-2). Let z(g) be the first derivative of y*g**2 + 6*g - g**3 + 2. Let z(q) = 0. Calculate q.
-1, 2
Let g be (272/(-2040))/(-2*1/6). Determine s, given that 0 + 0*s + g*s**2 + 2/5*s**4 + 4/5*s**3 = 0.
-1, 0
Suppose 8 = 6*b - 328. Let q = -56 + b. Factor q*n - 2/7*n**2 + 2/7.
-2*(n - 1)*(n + 1)/7
Let u(j) be the second derivative of 0 + 1/135*j**6 - 1/189*j**7 - 25*j + 0*j**2 + 0*j**4 + 0*j**3 + 0*j**5. Factor u(p).
-2*p**4*(p - 1)/9
Let b(g) be the third derivative of 0*g**3 + 1/300*g**5 + 0 + 0*g**4 + 0*g + 1/400*g**6 + 6*g**2 + 1/2100*g**7. What is f in b(f) = 0?
-2, -1, 0
Let u(l) be the third derivative of l**5/20 + 15*l**4/8 - 2*l**2 - 136*l. Factor u(x).
3*x*(x + 15)
Factor -32/11 - 12/11*f + 2/11*f**2.
2*(f - 8)*(f + 2)/11
Suppose 0*v + 2*i + 28 = 3*v, 0 = -4*v - 5*i + 22. Suppose -c + v = 3*c. Factor 4 - 2*q**2 + 2*q + 0*q - 6*q**3 - 6*q**c.
-2*(q + 1)**2*(3*q - 2)
Let o(j) be the third derivative of -j**8/84 - 18*j**7/35 - 36*j**6/5 - 144*j**5/5 - 134*j**2 - j. Factor o(h).
-4*h**2*(h + 3)*(h + 12)**2
Suppose -9/4*g**3 - 1/4*g**4 + 25/2 - 13/4*g**2 + 45/4*g = 0. What is g?
-5, -1, 2
Let g(h) be the second derivative of -4*h**7/63 - 13*h**6/45 - h**5/2 - 7*h**4/18 - h**3/9 + 117*h + 2. Find b, given that g(b) = 0.
-1, -1/4, 0
Let t(o) = -o**2 + o + 1. Let c(z) = -z**2 + 21*z - 36. Let r be c(19). Let w(a) = -6*a**2 + 4. Let m(d) = r*t(d) - w(d). Solve m(n) = 0 for n.
-1, 1/2
Find c such that 4/3*c**3 - 104/3*c - 4/3*c**2 - 32 = 0.
-4, -1, 6
Suppose -10*x = -14*x - 16, -4*x = 3*m + 10. Factor 0 + 1/10*f - 1/10*f**m.
-f*(f - 1)/10
Let m(c) = 2*c**2 + 5*c - 3*c**2 - 4*c - 2 + 23. Let d be m(5). Factor -2*b**3 + 0*b**4 + 3/2*b - d + 1/2*b**5 + b**2.
(b - 1)**3*(b + 1)*(b + 2)/2
Let g be -1 + (13 - (-4 - -12)). Suppose -4/3*f**g - 4/3*f + 4/3*f**3 + 0 + 4/3*f**2 = 0. Calculate f.
-1, 0, 1
Suppose 6*x = 8*x - 94. Let -160*f**4 + 30*f**2 - 54*f**5 - 30*f**5 + 42*f**2 - 39*f**3 - 12*f - x*f**4 = 0. Calculate f.
-2, -1, 0, 1/4, 2/7
Factor -1/4*w**5 + 5/2 + 1/2*w**2 + 21/4*w - 5*w**3 - 3*w**4.
-(w - 1)*(w + 1)**3*(w + 10)/4
Let b(i) = -i**2 - 14*i - 13. Let p be b(-7). Let n be 102/p + 2 + (-11)/6. Find r such that -2/11*r**4 - 4/11 - 2/11*r**n + 2/11*r + 6/11*r**2 = 0.
-2, -1, 1
Factor 6*p + 31*p**2 - 23*p**2 + 4*p**3 - 8 - 10*p.
4*(p - 1)*(p + 1)*(p + 2)
Let j be (4/5)/((-4)/(-40)). Suppose 0 = -4*u + b + 16, 2*u + 2*b = 4*u - j. Determine n so that -12*n**2 - 11*n + n**u - 3*n**4 + 3*n - 8*n**3 - 2 = 0.
-1
Let f(p) be the first derivative of -3*p**4/4 + 90*p**3 - 4050*p**2 + 81000*p + 178. Determine c so that f(c) = 0.
30
Let r be (6/4)/(5/(-810)*3). Let d = r - -89. Factor 54 - d*f**3 - 72*f + 2/3*f**4 + 36*f**2.
2*(f - 3)**4/3
Let -21*m + 117*m - 28*m - 16*m**2 - 15 - 1 = 0. What is m?
1/4, 4
Suppose -18/5*b