 = 0. What is t?
1
Solve -149*h**2 + 9 - 8*h + 1 + 147*h**2 = 0.
-5, 1
Let c = 3 + -3. Let b = c + 2. Find p such that -16*p**4 - b*p + 4*p**5 + 2*p**5 + 4*p**3 + 8*p**3 = 0.
-1/3, 0, 1
Let c be (0 + -2)*(-19)/2. Suppose 4*o + c = 5*h + 2*o, o - 4 = -2*h. Factor 4*p**2 + 2 - 2*p**h - 2 - 2*p.
-2*p*(p - 1)**2
Find v such that 3/5*v + 3/5*v**2 + 0 = 0.
-1, 0
Let g(o) be the third derivative of 0*o**4 + 0 + 1/240*o**5 + 1/120*o**6 + 0*o**3 - 7*o**2 + 0*o. Find h such that g(h) = 0.
-1/4, 0
Suppose -5*o = -7*o. Suppose 4*p = p. Find j such that o*j + 2/7*j**3 + 2/7*j**4 + p - 4/7*j**2 = 0.
-2, 0, 1
Let i(g) be the second derivative of -g**8/47040 + g**6/5040 + g**4/3 + 4*g. Let x(y) be the third derivative of i(y). Factor x(u).
-u*(u - 1)*(u + 1)/7
Let d be 4/528*8*3. Factor -12/11*v**3 - 2/11*v + 8/11*v**4 + 8/11*v**2 + 0 - d*v**5.
-2*v*(v - 1)**4/11
Factor 11*r + 5 - 30 + 3*r**2 - 2*r - r**3 - 2.
-(r - 3)**2*(r + 3)
Let t(h) be the third derivative of h**6/540 - h**5/135 + 2*h**2. Factor t(z).
2*z**2*(z - 2)/9
Factor 1/2*r**2 - r - 1/2*r**4 + 0 + r**3.
-r*(r - 2)*(r - 1)*(r + 1)/2
Let i = 6 + -3. Let v = -1 + i. Factor -s**v + 0*s**2 - s + 2*s.
-s*(s - 1)
Factor -4/13 + 2/13*i**2 + 2/13*i.
2*(i - 1)*(i + 2)/13
Let p(j) be the third derivative of -j**5/360 - j**4/144 - 5*j**2. Factor p(d).
-d*(d + 1)/6
Let i(b) be the first derivative of 4/3*b**3 - 8*b - 2*b**2 + 8. Find g, given that i(g) = 0.
-1, 2
Let v = -11 + 13. Determine i so that -4/9*i - 2/9 - 2/9*i**v = 0.
-1
Let b(u) = -2*u**3 + 3*u**2 - 3*u - 2. Let d(r) = -5*r**3 + 7*r**2 - 6*r - 4. Let t(z) = 7*b(z) - 3*d(z). Determine p so that t(p) = 0.
-1, 2
Solve 0*h**4 + 0*h + 4/7*h**5 + 0*h**2 + 0 + 0*h**3 = 0 for h.
0
Let n(z) be the third derivative of z**8/42 + z**7/21 - 11*z**6/60 - 23*z**5/30 - 13*z**4/12 - 2*z**3/3 + 10*z**2. Factor n(x).
2*(x - 2)*(x + 1)**3*(4*x + 1)
Let n be (-6 + 5)*1*-5. Let f(a) be the second derivative of 5/6*a**3 + a**2 - a - 1/30*a**6 - 1/20*a**n + 0 + 1/4*a**4. Factor f(u).
-(u - 2)*(u + 1)**3
Solve -2/7*g**2 + 4/7*g - 2/7 = 0 for g.
1
Find y, given that -52*y**2 - 5 - 44*y - 16*y**3 - 1 - 2 = 0.
-2, -1, -1/4
Suppose a - 6 = 3*y - 4*y, 0 = 2*a - 5*y - 5. Let r(p) be the first derivative of 0*p + 1/3*p**6 - 3 - 2/5*p**a + 0*p**2 + 0*p**4 + 0*p**3. Factor r(g).
2*g**4*(g - 1)
Let p(i) = i**3 + 7*i**2 + 4*i. Let q be p(-6). Let f be (4 - q/4)*4. Determine n so that -1/2 + n**3 - n + 1/2*n**f + 0*n**2 = 0.
-1, 1
Suppose 2*c + 50 = -x - 14, -c + 220 = -4*x. Let s be 3/(-2) + (-116)/x. Solve 2/7*q - 8*q**2 + s = 0 for q.
-1/4, 2/7
Determine m so that 12*m**5 + 0*m**4 + 8*m**4 + 7*m**3 - 40*m**2 - 19*m**3 + 32*m**2 = 0.
-1, -2/3, 0, 1
Let o(l) = -l - 18. Let r be o(-21). Let m(v) be the first derivative of 0*v**2 - r + 0*v + 0*v**4 + 1/5*v**5 - 1/3*v**3. Determine u, given that m(u) = 0.
-1, 0, 1
Let r(l) be the third derivative of l**5/420 - 3*l**4/56 - 18*l**2. Factor r(x).
x*(x - 9)/7
Let l(f) be the second derivative of f**9/45360 - f**8/3360 + f**7/840 + f**4/6 + 3*f. Let c(k) be the third derivative of l(k). Find v, given that c(v) = 0.
0, 3
Let a(f) be the first derivative of -f**4/12 + 5*f**3/9 - 4*f**2/3 + 4*f/3 - 5. Find t such that a(t) = 0.
1, 2
Let o(u) be the second derivative of u**7/112 - u**6/48 - u**5/160 + 5*u**4/96 - u**3/24 - 11*u. Find j such that o(j) = 0.
-1, 0, 2/3, 1
Suppose 3*i = 3*k + 9, 7 = 2*k + 17. Let q = i + 2. Find a, given that -a**5 + q*a**5 + a**3 + 0*a**5 = 0.
-1, 0, 1
Let j(r) be the third derivative of 0 + 1/32*r**4 - 2*r**2 + 0*r - 1/12*r**3 + 1/120*r**5. Factor j(w).
(w + 2)*(2*w - 1)/4
Factor -2/7 - 4/7*x + 2/7*x**4 + 4/7*x**3 + 0*x**2.
2*(x - 1)*(x + 1)**3/7
Let v(f) be the first derivative of 5*f**4/8 + 5*f**3/6 - 6. Find w, given that v(w) = 0.
-1, 0
Let q(x) be the third derivative of -x**8/1764 + x**7/245 - 4*x**6/315 + x**5/45 - x**4/42 + x**3/63 + 12*x**2. Factor q(y).
-2*(y - 1)**4*(2*y - 1)/21
Suppose -24*q - 2*q**2 + 24*q + 2 = 0. What is q?
-1, 1
Let i = 3949 - 27541/7. Let j = 18 - i. Factor 0 + 8/7*a + 26/7*a**3 + 2/7*a**5 - 12/7*a**4 - j*a**2.
2*a*(a - 2)**2*(a - 1)**2/7
Let h = 11/8 - 157/120. Let w(r) be the second derivative of 1/21*r**7 - h*r**6 - 1/10*r**5 + 0 + r + 0*r**2 + 1/6*r**4 + 0*r**3. Let w(q) = 0. What is q?
-1, 0, 1
Let m = 59 + -59. Let b(l) be the third derivative of 0 + m*l + 1/6*l**3 - 1/60*l**5 - l**2 + 0*l**4. What is q in b(q) = 0?
-1, 1
Factor -15*i**3 + 19*i**4 - 11*i**4 - 25*i**2 + 21*i**4 - 5*i + 16*i**4.
5*i*(i - 1)*(3*i + 1)**2
Let x(d) be the first derivative of d**7/42 - d**6/15 + d**4/6 - d**3/6 - 2*d - 3. Let n(b) be the first derivative of x(b). Solve n(z) = 0.
-1, 0, 1
Let j(o) be the first derivative of -o**5/210 + o**4/84 + o**2/2 + 3. Let r(q) be the second derivative of j(q). Factor r(v).
-2*v*(v - 1)/7
Let h(o) be the first derivative of o**5/30 - o**4/24 - 7. Factor h(d).
d**3*(d - 1)/6
Let x(i) be the second derivative of 5*i**7/14 + i**6/6 - 3*i**5/4 - 5*i**4/12 - 14*i. What is o in x(o) = 0?
-1, -1/3, 0, 1
Let q(t) be the first derivative of 2*t**5 - 17*t**4/2 + 14*t**3 - 11*t**2 + 4*t + 13. Factor q(w).
2*(w - 1)**3*(5*w - 2)
Let t(z) = 15*z**3 - 40*z**2 - 5*z + 5. Let n(d) = -8*d**3 + 20*d**2 + 3*d - 3. Let m(y) = 5*n(y) + 3*t(y). Let m(c) = 0. Calculate c.
0, 4
Factor -2/3*f**2 + 0 + 2/3*f.
-2*f*(f - 1)/3
Suppose -2*s = -13 + 5. Let r(j) be the first derivative of -3/4*j - 3/20*j**5 - 1 + 0*j**2 + 1/2*j**3 + 0*j**s. Factor r(l).
-3*(l - 1)**2*(l + 1)**2/4
Let g(p) be the second derivative of p**5/40 - 5*p**4/48 + p**3/6 - p**2/8 - p. Suppose g(v) = 0. What is v?
1/2, 1
Let x be 2/3 - 1/3. Suppose 2 = -7*o + 2. Suppose o - x*w**2 + 1/3*w = 0. Calculate w.
0, 1
Let h be (-45)/(-50)*20/24. Factor 3/2 - 3/4*a**2 + h*a.
-3*(a - 2)*(a + 1)/4
Let z(l) be the third derivative of 2/75*l**5 + 0 + 0*l + 2/15*l**3 - 3*l**2 + 3/20*l**4. Find s, given that z(s) = 0.
-2, -1/4
What is s in 45*s**2 + 0 - 67*s**4 + 7*s**4 - 8*s**3 - 12*s**3 - 5 = 0?
-1, -1/3, 1/2
Suppose 6*i = i. Determine u, given that -3*u**4 + 0*u**3 + 2*u**3 + 4*u**4 + i*u**4 = 0.
-2, 0
Factor 1/5 + 1/5*w**2 - 2/5*w.
(w - 1)**2/5
Let y(v) be the first derivative of -v**3/5 + 6*v**2/5 - 12*v/5 + 6. Factor y(q).
-3*(q - 2)**2/5
Let f(y) be the second derivative of -y**7/84 - y**6/30 - y**5/40 + 10*y. Factor f(u).
-u**3*(u + 1)**2/2
Let w be 48/18 + ((-2)/3 - -1). Let y(m) be the second derivative of -3*m + 4/45*m**6 - 11/30*m**5 + 1/2*m**4 + 0 - 1/3*m**2 - 1/9*m**w. Factor y(s).
2*(s - 1)**3*(4*s + 1)/3
Let b be (-32)/(-6)*6/4. Let a be 3/30 - b/(-20). Determine z so that 1/4*z**3 + 1/4*z**5 + 0*z**2 + a*z**4 + 0*z + 0 = 0.
-1, 0
Factor 12/5*o - 9/5 - 3/5*o**2.
-3*(o - 3)*(o - 1)/5
Let t(c) be the third derivative of -c**5/15 - c**4/6 + c**2. Factor t(f).
-4*f*(f + 1)
Let x(j) be the first derivative of j**6/63 - j**4/21 + j**2/21 - 25. Suppose x(k) = 0. Calculate k.
-1, 0, 1
Let h(w) be the third derivative of w**7/105 + w**6/48 - w**5/40 - 5*w**4/48 - w**3/12 - 5*w**2. Let h(f) = 0. Calculate f.
-1, -1/4, 1
Suppose 0 = -4*q - 12, -3*w + q + 5 = -2*w. Factor 0 + 2/5*z**3 - 2/5*z + 0*z**w.
2*z*(z - 1)*(z + 1)/5
Let s = -81 + 83. Find l such that -l**4 + 3/5*l**5 + 0*l**s + 2/5*l**3 + 0 + 0*l = 0.
0, 2/3, 1
Let p(t) be the second derivative of -t**5/10 - 2*t**4/3 - 5*t**3/3 - 2*t**2 - 15*t. Factor p(v).
-2*(v + 1)**2*(v + 2)
Let f(l) be the second derivative of -l**4/6 + 3*l**3/4 - 5*l**2/4 - 3*l + 10. Factor f(g).
-(g - 1)*(4*g - 5)/2
Let y(n) be the second derivative of n**7/2520 - n**6/360 + n**4/3 - n. Let q(t) be the third derivative of y(t). Let q(j) = 0. Calculate j.
0, 2
Let x = 11 - 11. Suppose x = 5*o - 2 - 8. Suppose -1/5 - 9/5*f - 27/5*f**3 - 27/5*f**o = 0. Calculate f.
-1/3
Let k = 11 - 2. Let a be (0 + 1)/(3/k). Suppose -f**2 - 2*f**2 - f**a + 5*f**2 - f = 0. Calculate f.
0, 1
Solve -1/2 - 2*r - 3/2*r**2 = 0.
-1, -1/3
Suppose 3*d - 2 = 4. Suppose -d*n + 3 + 1 = 0. Factor -2*k**n - 2*k**2 - 4*k + 2*k**2 - 2.
-2*(k + 1)**2
Let a(x) be the first derivative of -x + 1 + 0*x**4 + 1/70*x**5 - 1/21*x**3 + 0*x**2. Let h(c) be the first derivative of a(c). Factor h(k).
2*k*(k - 1)*(k + 1)/7
Let h(g) be the first derivative of -g**8/8400 + g**6/1800 - 2*g**3/3 - 3. Let p(a) be the third derivative of h(a). L