 so that n(i) = 0.
-2, 2
Let y be (-45 - -41) + 1*4. Factor -3/2 + 3/2*h**2 + y*h.
3*(h - 1)*(h + 1)/2
Let g(u) be the second derivative of 0*u**2 + 0 + 1/6*u**3 - u. Let l(a) = a**3 + 3*a**2 + 6*a + 1. Let v(h) = -3*g(h) + l(h). Find s such that v(s) = 0.
-1
Let k(t) be the first derivative of -t**6/1080 - t**3 - 2. Let f(a) be the third derivative of k(a). Suppose f(b) = 0. What is b?
0
What is x in -3/2*x**2 + 27/4*x**3 + 0 - 9*x**4 + 0*x + 15/4*x**5 = 0?
0, 2/5, 1
Let c(m) be the second derivative of 2*m**5/5 + 3*m**4/2 + 2*m**3 + m**2 - 21*m. Suppose c(w) = 0. Calculate w.
-1, -1/4
Let k(j) be the second derivative of -j**6/280 + j**5/70 - 9*j**2/2 - j. Let x(l) be the first derivative of k(l). What is g in x(g) = 0?
0, 2
Let b(o) = 3*o**2 + o - o**3 + 0 - 1 + 2. Let v be b(3). Factor 2/7*a**v + 4/7*a**3 + 2/7*a**2 + 0*a + 0.
2*a**2*(a + 1)**2/7
Suppose 0 + 1/4*k**2 + 3/2*k = 0. What is k?
-6, 0
Let b(g) be the third derivative of g**8/560 - 9*g**7/350 + 3*g**6/25 - 4*g**5/25 + 30*g**2. Find p, given that b(p) = 0.
0, 1, 4
Let t(r) = r**2 + 2*r. Let c be t(-2). Let u(j) be the first derivative of 0*j**3 + c*j + 0*j**2 - 1/10*j**4 - 2 - 6/25*j**5. Factor u(a).
-2*a**3*(3*a + 1)/5
Determine p, given that -7/2*p - 1/4*p**2 - 49/4 = 0.
-7
Let f(j) = -64*j**3 + 244*j**2 - 1152. Let u(g) = -7*g**3 + 27*g**2 - 128. Let r(t) = 3*f(t) - 28*u(t). Suppose r(p) = 0. Calculate p.
-2, 4
Let r(a) = a**3 - a**2 + 2*a - 3. Let y be r(2). Let o = 7 - y. Determine c, given that 4*c**3 - 5*c**o - 5*c**3 - 1 - 3 - 8*c = 0.
-2, -1
Let o(r) = -18*r. Let a be o(-1). Suppose -3*c + a = -4*w, -5*c + 20 = -5*w - 5. Suppose 0*n**3 - 1/4*n**4 + 1/4*n**c + 0 + 0*n = 0. Calculate n.
-1, 0, 1
Let p = 12 - 8. Determine y so that y**5 - y**4 + y**5 - y**p = 0.
0, 1
Let k(v) be the third derivative of -2*v**7/105 + v**6/3 - 12*v**5/5 + 9*v**4 - 18*v**3 - 9*v**2. Factor k(n).
-4*(n - 3)**3*(n - 1)
Let l be 2/((44 + 6)/5). Factor -1/5 + 1/5*m**3 + l*m**2 - 1/5*m.
(m - 1)*(m + 1)**2/5
Let y(k) be the third derivative of k**7/126 - k**6/36 - k**5/12 + 5*k**4/9 - 10*k**3/9 + 22*k**2. Factor y(x).
5*(x - 2)*(x - 1)**2*(x + 2)/3
Solve 0*a**4 + 0*a**2 + 2/9*a - 4/9*a**3 + 0 + 2/9*a**5 = 0.
-1, 0, 1
Let r(v) be the third derivative of -v**7/4200 - v**6/600 + v**4/30 - v**3/3 + 3*v**2. Let i(y) be the first derivative of r(y). Factor i(g).
-(g - 1)*(g + 2)**2/5
Let g(i) = -i**2 - 3*i. Let m(j) = 4*j**2 + 12*j - 1. Let f(k) = -9*g(k) - 2*m(k). What is q in f(q) = 0?
-2, -1
Let q(m) be the second derivative of m**7/126 + m**6/45 - m**5/60 - m**4/18 + 2*m. Factor q(f).
f**2*(f - 1)*(f + 1)*(f + 2)/3
Let q(m) be the second derivative of 5*m**4/12 - 5*m**3/3 + 5*m**2/2 - 6*m. Determine z, given that q(z) = 0.
1
Let h be (0 + 4)*(-55)/340. Let y = 145/119 + h. Determine g, given that 2/7 - y*g + 2/7*g**2 = 0.
1
Let q(a) be the second derivative of -a**4/90 + a**3/45 + 13*a. Suppose q(h) = 0. Calculate h.
0, 1
Let f be 0 - -2 - (1 - 3). Suppose -2*x**5 - 9*x**f + x**4 - 6*x**3 - 2*x**3 = 0. Calculate x.
-2, 0
Suppose 1/7*a - 1/7*a**3 + 0*a**2 + 0 = 0. What is a?
-1, 0, 1
Let m(r) be the first derivative of 2*r**5/5 + 2*r**4 + 10*r**3/3 + 2*r**2 + 3. Factor m(h).
2*h*(h + 1)**2*(h + 2)
Let a(v) = -v**2 - 5*v - 4. Let t be a(-3). Let u be 5/(-20) + 9/4. Suppose 3*b**t - 4 + 0*b**2 + 3 - u*b**2 = 0. Calculate b.
-1, 1
Let k(f) be the second derivative of -3*f**5/200 - f**4/30 - f**3/60 + 2*f. Solve k(c) = 0.
-1, -1/3, 0
Let d(k) be the second derivative of -k**6/60 + 7*k**5/120 + k**4/24 + 2*k**2 + 3*k. Let h(z) be the first derivative of d(z). Factor h(a).
-a*(a - 2)*(4*a + 1)/2
Let w(v) be the first derivative of v**4/36 + v**3/18 - v**2/3 + 2*v - 3. Let y(o) be the first derivative of w(o). Factor y(l).
(l - 1)*(l + 2)/3
Let l(o) = -7*o - 5. Let j(r) = 6*r + 6. Let k(n) = 6*j(n) + 5*l(n). Let h be k(-8). Solve p**4 - h*p**4 + 4*p**4 - 4*p**3 + 2*p**2 = 0 for p.
0, 1
Let z = 19 + -11. Factor -5*t + 4*t**4 + 9*t + 10*t**3 - 2*t + z*t**2.
2*t*(t + 1)**2*(2*t + 1)
Solve -121*v**5 + 40*v**5 - 12*v**4 + 50*v - 12*v**2 + 120*v**4 - 47*v - 18*v**3 = 0.
-1/3, 0, 1/3, 1
Let y(w) = w**4 + 3*w**3 - w**2 - 9*w + 6. Let n(q) = q**2 - q. Let t(a) = 2*n(a) - y(a). Let t(j) = 0. What is j?
-3, -2, 1
Let u(p) be the third derivative of p**6/180 + p**5/10 + 5*p**4/12 - 25*p**3/9 + 35*p**2. Solve u(t) = 0.
-5, 1
Let j = 13 + -8. Determine q so that 125*q**4 - 145*q**3 + 7*q**4 + 54*q**2 - 21*q**j - 80*q**3 = 0.
0, 2/7, 3
Let u = 233 - 1163/5. Let s = -5 - -7. Factor 0*y + 0 + u*y**3 - 2/5*y**s.
2*y**2*(y - 1)/5
Let v(a) = 1. Let o(x) = 3*x**2 - 9*x + 4. Let w(j) = o(j) + 2*v(j). Solve w(d) = 0.
1, 2
Solve 0 + 2/13*h**4 + 0*h - 2/13*h**2 + 0*h**3 = 0 for h.
-1, 0, 1
Suppose -2/5*z**4 + 0*z - 2/5*z**2 + 0 - 4/5*z**3 = 0. Calculate z.
-1, 0
Suppose -m = -6*m + 10. Let t(n) be the first derivative of 0*n + 1 - 1/7*n**m + 2/21*n**3. Factor t(c).
2*c*(c - 1)/7
Let j be (-5)/(15/(-18)) - 1. Suppose -2 = l, -2*m - 7 = -m + j*l. Factor -15*r**3 + 2*r**2 + 2*r - m*r**4 - 2*r + 16*r**3.
-r**2*(r - 1)*(3*r + 2)
Let h(b) = b - 11. Let t be h(10). Let m be 2 - t - (1 + 2). Factor -1/3*j**4 + 1/3*j**2 + 0 + m*j + 0*j**3.
-j**2*(j - 1)*(j + 1)/3
Let u(w) be the second derivative of 3/20*w**4 - 6/5*w**2 + 0*w**3 - 3/100*w**5 + 0 - 11*w. Factor u(z).
-3*(z - 2)**2*(z + 1)/5
Let n be 70/120 - (-1)/(-4). Determine q so that -n*q**2 - 1/3*q**3 + 0 + 0*q = 0.
-1, 0
Let i(b) be the second derivative of b**8/5040 + b**7/3780 - b**6/1080 + b**4/2 - 2*b. Let o(n) be the third derivative of i(n). Factor o(k).
2*k*(k + 1)*(2*k - 1)/3
Suppose -2*h - 62 = -2*t - 0*h, 0 = t + 4*h - 21. Factor t*p + 8 - 13*p**2 + 19*p**2 - p + 14*p**2.
4*(p + 1)*(5*p + 2)
Let g(t) be the first derivative of -3*t**2 + 4*t - 3 + 2/3*t**3. Determine j, given that g(j) = 0.
1, 2
Let j(f) = -f**3 - 24*f**2 - 45*f - 22. Let w be j(-22). Let d(x) be the second derivative of 0 + 2/35*x**5 + w*x**2 + 3*x + 1/14*x**4 - 1/21*x**3. Factor d(p).
2*p*(p + 1)*(4*p - 1)/7
Let q be 4*((-10)/(-15))/2. Factor p**5 + 13/3*p**4 - q - 8/3*p + 17/3*p**3 + p**2.
(p + 1)**3*(p + 2)*(3*p - 2)/3
Suppose 0 - 2/9*s**2 + 2/9*s = 0. Calculate s.
0, 1
Let n(w) be the second derivative of -1/30*w**6 + 0*w**2 + 0 - w - 1/6*w**3 - 3/20*w**5 - 1/4*w**4. Solve n(q) = 0.
-1, 0
Let a(w) be the third derivative of 0*w + 1/120*w**5 + 3/4*w**3 + 0 + 2*w**2 - 1/8*w**4. Suppose a(n) = 0. What is n?
3
Let z = -52 + 55. Find w such that -2/9*w**4 + 0*w**z + 4/9*w**2 - 2/9 + 0*w = 0.
-1, 1
Let n(u) = 27*u**2 - 1. Suppose -c = 2*c - 3. Let i be n(c). Factor i*k**3 + 27*k**4 - 18*k**2 + 10*k**3 - 12 - 36*k + 3*k**2.
3*(k - 1)*(k + 1)*(3*k + 2)**2
Let q(u) be the first derivative of -13/12*u**4 + 1/3*u**5 + 1/6*u**2 - 2/3*u + u**3 + 1. Factor q(h).
(h - 1)**3*(5*h + 2)/3
Let t(p) = p**3 - 4*p**2 + 3*p + 3. Let k be t(3). Find v such that 6 + 24*v**2 - v**4 - 3*v**3 + 4*v**4 - 9*v**k - 20*v - v**4 = 0.
1, 3
Let v(h) = -5*h - 4 - 2*h + 8*h**2 + h + 2*h. Let c(m) = 7*m**2 - 4*m - 3. Let a(g) = 6*c(g) - 5*v(g). Factor a(p).
2*(p - 1)**2
Find q such that 0 + 6/13*q**2 - 4/13*q = 0.
0, 2/3
Let i be 3 - (36/16 - 2)*11. Let v = -1 + 3. Factor 0 - 1/4*w**v + 1/2*w**3 + 0*w - i*w**4.
-w**2*(w - 1)**2/4
Suppose -4*x + 0*x**2 - 2*x**2 + 0*x = 0. What is x?
-2, 0
Find z, given that -55*z**4 - 10*z**3 + 24*z - 34*z + 20*z**5 + 45*z**2 + 10*z**4 = 0.
-1, 0, 1/4, 1, 2
Let m(l) be the third derivative of -l**5/90 - l**4/9 - 21*l**2. Determine n so that m(n) = 0.
-4, 0
Let l(f) = -2*f**3 + 7*f**2 + 5*f - 1. Let m be l(4). Suppose 1/4*u**2 + 1/4*u - 1/4*u**m - 1/4 = 0. What is u?
-1, 1
Suppose -5*h = 4*y - 45, 8 + 7 = y + 2*h. Suppose -y*b = -16 + 6. Factor 7*q**4 - 18*q**4 - 10*q**5 + 4*q + 0*q**b + 2*q**2 - 15*q**4 - 18*q**3.
-2*q*(q + 1)**3*(5*q - 2)
Let n(q) = -q + 1. Let u be n(-3). Let z(l) be the second derivative of 0 - 1/12*l**u - 3*l + l**2 - 1/6*l**3. Factor z(x).
-(x - 1)*(x + 2)
Let r(n) be the second derivative of -n**4/6 + 2*n**3/3 - n**2 + 9*n. Suppose r(d) = 0. What is d?
1
Let a(o) = -3*o**5 + 3*o**4 + 3*o**3 - 3*o**2 + 2. Let j(q) = -10*q**5 + 10*q**4 + 9*q**3 - 10*q**2 + q + 7. Let v(h) = -21*a(h) + 6*j(h). Factor v(i).
3*i*(i - 2)*(i - 1)*(i + 1)**2
Let z(p) = 2*p**2 - 4*p + 2. Let l(t) = -t**2 + 4*