 = 0. What is i?
-1, 1
Suppose -11 = -4*y + 1. What is p in 9*p**4 + 20*p**2 + 0*p**y - 26*p**2 + 3*p**3 = 0?
-1, 0, 2/3
Factor -8/3*v + 110/3*v**3 - 200/3*v**4 + 8/3*v**2 + 0.
-2*v*(4*v + 1)*(5*v - 2)**2/3
Let k(g) be the first derivative of -g**4/90 - g**3/45 - 5*g - 7. Let b(v) be the first derivative of k(v). Let b(j) = 0. Calculate j.
-1, 0
Let r be ((-5)/((-20)/(-16)))/(-2). Suppose -2*f - i = -4, -1 = -f + i - r*i. Determine c so that 0*c - 3/2*c**4 + 0 + 3/2*c**f - 3/2*c**5 + 3/2*c**2 = 0.
-1, 0, 1
Let w = 2 - 2. Suppose -2*p + 1 + 1 = w. Factor -p + d**2 + 0 - 1 + d.
(d - 1)*(d + 2)
Let v(x) be the third derivative of 0*x**3 + 0*x - 1/30*x**5 + 0 + 1/35*x**7 + 8*x**2 - 1/15*x**6 + 1/6*x**4. Let v(z) = 0. Calculate z.
-2/3, 0, 1
Let o = -1 + -1. Let c be o*1 + (-10)/(-4). Find n, given that 1/2*n**3 + 3/2*n**2 + 3/2*n + c = 0.
-1
Suppose 4*h - 2 - 11 = 5*y, y = -h - 8. Let d be y*(-4 - (-1 - 2)). Factor 0 + 0*c**4 + 1/3*c**d + 1/3*c - 2/3*c**3 + 0*c**2.
c*(c - 1)**2*(c + 1)**2/3
Let u(d) be the first derivative of 0*d**2 + 0*d**3 + 4 + 3/5*d**5 + 0*d**4 + 0*d. Factor u(x).
3*x**4
Let x(u) = 4*u**3 - 6*u**2. Let m(w) = 0*w**3 + 4*w**2 + w**3 - 4*w**3. Let i(b) = -7*m(b) - 5*x(b). Factor i(q).
q**2*(q + 2)
Let n(b) = 2*b**2 + 2*b - 1. Let c be n(1). Solve -w + 6*w**2 - 5*w**2 + w**c + 0*w**3 - 1 = 0.
-1, 1
Let z = -20 - -18. Let h = z - -2. Factor -2/7*u**4 + 0*u**2 + h*u + 0*u**3 + 0.
-2*u**4/7
Suppose -4*h + 16 + 4 = 0. Suppose 3*f - 2*f = -3*d + 11, -h*d + 7 = -4*f. Find w such that -d*w**2 - w**3 + w**2 + 2*w**3 + w = 0.
0, 1
Let g(l) = 4*l**3 + 3*l**2 - 2*l - 5. Let w(r) be the first derivative of -r + 0*r**2 - 2 + 0*r**3 + 1/4*r**4. Let a(m) = 2*g(m) - 10*w(m). Factor a(j).
-2*j*(j - 2)*(j - 1)
Let m(h) be the second derivative of h**6/240 - h**4/96 - 15*h. What is n in m(n) = 0?
-1, 0, 1
Factor 6/5 + 4/5*w - 2/5*w**2.
-2*(w - 3)*(w + 1)/5
Let h be 10/(-3) + 6/(-9). Let g(x) = -x**2 - 5*x - 1. Let k be g(h). Solve -2*a**4 - 6*a**k + 6*a**5 - 3*a**5 - a**5 + 10*a**2 - 4*a + 0*a**4 = 0 for a.
-2, 0, 1
Let u = -28 + 31. Let k(w) = w**3 + 4*w**2 + 3*w. Let a be k(-2). Factor 0*t**a + 2/3*t**u + 0 - 2/3*t.
2*t*(t - 1)*(t + 1)/3
Let l = -54/5 + 56/5. Solve 6/5*k**2 - l*k**3 + 2/5 - 6/5*k = 0.
1
Let b(a) = -8*a**5 + 200*a**4 - 3197*a**3 + 25600*a**2 - 102403*a + 163843. Let l(t) = -t**5 + t**3 - t + 1. Let i(d) = -b(d) + 3*l(d). Factor i(w).
5*(w - 8)**5
Let b(z) be the second derivative of -z**4/30 - 7*z**3/45 - 4*z**2/15 - 2*z + 37. Factor b(w).
-2*(w + 1)*(3*w + 4)/15
Let q be 3 + 1 - (-1 - -1). Factor -3*u**5 - u**3 + 2*u**2 + u**5 + 4*u**5 + 7*u**3 + 6*u**q.
2*u**2*(u + 1)**3
Let w(u) be the first derivative of -u**6/4 - 3*u**5/4 - 9*u**4/16 + u**3/4 + 3*u**2/8 - 10. Find y such that w(y) = 0.
-1, 0, 1/2
Let z be (-4)/(-10) + (-117)/(-45). Determine q so that -5*q**3 - 7*q + 0*q**3 - 2 - 6*q**2 + 3*q**z + q = 0.
-1
Let x be (25/(-30))/(1/(-6)*1). Determine f, given that -2/5*f + 1/5*f**3 + 3/5*f**2 + 1/5*f**x + 0 - 3/5*f**4 = 0.
-1, 0, 1, 2
Find h, given that -2/13*h**4 + 0*h**3 + 0 - 2/13*h**5 + 0*h**2 + 0*h = 0.
-1, 0
Let s = 9 - 5. Let c = 6 - s. Factor -2/3*t**c - 2/9 - 2/9*t**3 - 2/3*t.
-2*(t + 1)**3/9
Let n(x) be the third derivative of x**7/5880 - x**6/840 + x**4/8 - 7*x**2. Let v(g) be the second derivative of n(g). Factor v(k).
3*k*(k - 2)/7
Suppose -3*f + 0*f + 2*g = 25, -4*g + 10 = 2*f. Let k be 2/f - 48/(-45). Factor -4/3 + k*o**2 - 2/3*o.
2*(o - 2)*(o + 1)/3
Let s(i) be the second derivative of -i**7/14 - 3*i**6/10 - 3*i**5/20 + 3*i**4/4 + i**3 + 2*i. Suppose s(g) = 0. Calculate g.
-2, -1, 0, 1
Let m(d) be the first derivative of 0*d**2 + 1/20*d**5 + 0*d - 2 + 1/12*d**3 + 1/8*d**4. Find z, given that m(z) = 0.
-1, 0
Let n = 25 - 37. Let t be (-4)/(-3)*n/(-4). Find u, given that 2 + 2*u**4 - 1 - 2*u**2 - u**t = 0.
-1, 1
Let s(d) = -d + 7. Let q be s(5). Let w be (-1 - 20/24) + q. What is b in 1/3*b**3 - 1/6*b**5 + 1/3*b**2 - w*b - 1/6 - 1/6*b**4 = 0?
-1, 1
Factor -8/11 - 2/11*a**2 + 8/11*a.
-2*(a - 2)**2/11
Suppose -y - 4*l = -24 - 1, 2*y = -4*l + 30. Let z(c) = 9*c**3 - 12*c**2 - 3*c. Let r(t) = -8*t**3 + 11*t**2 + 3*t - 1. Let b(a) = y*z(a) + 6*r(a). Factor b(f).
-3*(f - 2)*(f - 1)*(f + 1)
Let s(l) be the second derivative of 0 + 8*l - 2*l**2 - 1/12*l**4 + 2/3*l**3. Factor s(x).
-(x - 2)**2
Let t = 5 - 3. Suppose -5*p = -t*p - 6. Factor -2*m**p - 3 + 3 + 2*m.
-2*m*(m - 1)
Let d = 115 - 115. Let x be (8/50)/((-6)/(-15)). Factor 0*j - 2/5*j**3 + x*j**4 + 0*j**2 + d.
2*j**3*(j - 1)/5
Let u(s) be the second derivative of 3*s**5/5 - 11*s**4/6 + 4*s**3/3 + s**2 - 5*s. Factor u(t).
2*(t - 1)**2*(6*t + 1)
Let j = 4701/11 - 427. What is q in -10/11*q**2 - j - 14/11*q = 0?
-1, -2/5
Let o(n) be the first derivative of 16*n**3/3 + 24*n**2 + 36*n - 25. Find t, given that o(t) = 0.
-3/2
Let n(x) be the second derivative of 1/12*x**3 + 2*x + 0 - 1/12*x**4 + 1/30*x**6 - 1/84*x**7 + 0*x**5 + 0*x**2. Factor n(w).
-w*(w - 1)**3*(w + 1)/2
Let y be 24/10 + 6/10. Suppose 5*u - 13 = -y. Factor 2/7*x**3 + 0 + 0*x - 2/7*x**u.
2*x**2*(x - 1)/7
Let h(l) be the second derivative of -l**4/36 - l**3/6 - l**2/3 - 12*l. Factor h(b).
-(b + 1)*(b + 2)/3
Let k(n) = -5*n**2 + 5. Let q(h) = -14*h**2 + 14. Let w = -6 - -7. Let p be w/4 - (-45)/(-4). Let y(s) = p*k(s) + 4*q(s). Let y(r) = 0. Calculate r.
-1, 1
Suppose -19 + 3 = -2*n. Let q = n - 6. Solve -4/5*k**4 - 2/5*k**3 + 0 - 2/5*k**5 + 0*k + 0*k**q = 0 for k.
-1, 0
Let g(m) be the third derivative of m**7/315 - m**6/90 - m**5/90 + m**4/18 + 50*m**2. Factor g(s).
2*s*(s - 2)*(s - 1)*(s + 1)/3
Let j = 4 + -4. Suppose 5*o + 4*y - 7 - 3 = j, 0 = -2*o + y + 4. Determine n, given that n**2 - 3*n**o + n**2 = 0.
0
Suppose -16/9*g - 14/9 - 2/9*g**2 = 0. Calculate g.
-7, -1
Let k(d) = -6*d**2 + 8*d. Let v(x) be the first derivative of 6*x**3 - 12*x**2 - x + 1. Let q(w) = -7*k(w) - 2*v(w). Factor q(f).
2*(f - 1)*(3*f - 1)
Let b(m) be the third derivative of 0*m**4 + 0*m**5 + 0 + 2*m**2 + 0*m - 1/105*m**7 + 0*m**3 + 1/168*m**8 + 0*m**6. Factor b(u).
2*u**4*(u - 1)
Let -n**4 + 5*n**4 - 16*n**3 - 2*n**4 + 32*n**2 = 0. Calculate n.
0, 4
Let m be (-16)/24*(-27)/7. Suppose 0 = n - 4 + 2. Factor -n*z**3 - m*z**2 + 0 - 4/7*z.
-2*z*(z + 1)*(7*z + 2)/7
Let f be (-12)/21 - (-741)/1260. Let h(u) be the third derivative of -1/300*u**5 + 0 + 0*u - u**2 - f*u**4 + 0*u**3. Solve h(j) = 0 for j.
-2, 0
Let h be 7/(7/(-4)) - 0. Let o(z) = -z**3 - 5*z**2 - 5*z - 2. Let r be o(h). Factor 0*p + 2/5*p**3 + 0 - 2/5*p**r.
2*p**2*(p - 1)/5
Let p = -22/3 + 8. Let p + 18*w**3 + 18*w**2 + 6*w = 0. What is w?
-1/3
Find w, given that 5/2*w**2 + 7/2*w + 3/2 + 1/2*w**3 = 0.
-3, -1
Let w = -1 + 4/3. Let h be 1/(-2)*(1 - 7). Let 0 + 0*n**2 - 2/3*n**4 + 0*n - w*n**5 - 1/3*n**h = 0. What is n?
-1, 0
Let n be 6/4*(-8)/(-6). Factor -2 - 1 + 3 - i - i**n.
-i*(i + 1)
Let c(b) be the first derivative of b**4/30 + 2*b**3 + 45*b**2 + 450*b + 26. Let c(g) = 0. What is g?
-15
Let r(c) be the second derivative of 1/12*c**3 + 0 - 1/12*c**4 + 0*c**2 + 1/40*c**5 + c. Factor r(q).
q*(q - 1)**2/2
Solve -177*w**4 + 88*w**4 - 10*w**3 + 84*w**4 = 0 for w.
-2, 0
Find z, given that -12697*z**3 - 6*z + 12682*z**3 + 30*z - 3*z**4 - 6*z**2 = 0.
-4, -2, 0, 1
Let q be (-9 - -2) + (5 - 1). Let i be q/(-2) - (-1)/1. Factor 1/2*h**5 + 5*h**2 + i*h**4 + 5*h**3 + 5/2*h + 1/2.
(h + 1)**5/2
Factor -2*v**3 + 31*v**2 - 17*v**2 - 16*v**2.
-2*v**2*(v + 1)
Let l = -9/26 - -53/78. Find y, given that -l*y**2 + 0 - 1/3*y**5 + 0*y + 1/3*y**3 + 1/3*y**4 = 0.
-1, 0, 1
Let x = 59 - -103. Let o = -645/4 + x. Determine b so that o*b**2 + 3/4 + 3/2*b = 0.
-1
Suppose -p - w + 9 = w, 0 = -3*w + 12. Let d(t) be the first derivative of p + 10/9*t**3 - t**2 - 4/3*t. Factor d(k).
2*(k - 1)*(5*k + 2)/3
Let b = 2/21 - -17/42. Suppose b*i**3 + 0*i**2 - 1 - 3/2*i = 0. What is i?
-1, 2
Let a(f) be the second derivative of 7*f**4/72 + 17*f**3/12 + 7*f**2/6 - 31*f. Factor a(y).
(y + 7)*(7*y + 2)/6
Let w be (-18)/27 - (-1)/(-3). Let i(h) = h**2. Let j(z) = 4*z**2 + 4. Let s(p) = w*j(p) + 5*i(p). Suppose s(b) = 0. Calculate b.
-2, 2
Let z(j) be the first derivative of -j**4/12 + j**3/8 + j**2/8 + 2*j + 4. Let u(n) be the first derivative of z(n). Solve u(w) = 0.
-1/4, 1
Suppose 16 = 4*f, -5*c + 5*f + 24 =