t s(a) = 0.
-1/4, 2/11
Let p(m) be the third derivative of -m**6/150 + m**5/75 - 10*m**2. Factor p(z).
-4*z**2*(z - 1)/5
Let z = 169 - 1181/7. Factor 0*x - z*x**2 + 2/7.
-2*(x - 1)*(x + 1)/7
Let h(r) be the second derivative of -r**6/45 - r**5/15 + r**4/18 + 2*r**3/9 + 2*r. Find i such that h(i) = 0.
-2, -1, 0, 1
Suppose -3*f = -15, 0*l + 3*l - 3*f + 9 = 0. Factor 0 - 2/3*y - 2/3*y**l.
-2*y*(y + 1)/3
Let d(l) be the first derivative of -l**6/30 - l**5/25 + l**4/20 + l**3/15 + 2. Factor d(v).
-v**2*(v - 1)*(v + 1)**2/5
Let o(v) be the second derivative of -v**9/45360 + v**7/7560 + v**4/12 + 3*v. Let m(k) be the third derivative of o(k). Factor m(a).
-a**2*(a - 1)*(a + 1)/3
Find k such that -2/3 + 4/3*k**3 - 4/3*k + 2/3*k**2 = 0.
-1, -1/2, 1
Let g(f) be the first derivative of -5*f**4/4 + 5*f**2/2 + 27. Suppose g(l) = 0. What is l?
-1, 0, 1
Factor -2 - 2*m + m**3 - 1/2*m**4 + 3/2*m**2.
-(m - 2)**2*(m + 1)**2/2
Let o(t) = t**4 + 8*t**3 - 5*t**2 + 6*t. Suppose l - 5 = 6*l. Let v(q) = q**3 - q**2 + q. Let n(k) = l*o(k) + 6*v(k). Find b, given that n(b) = 0.
-1, 0
Let g = -51 + 54. Solve 2/9*x + 2/3*x**g + 0 + 2/3*x**2 + 2/9*x**4 = 0 for x.
-1, 0
Let a be 5/900*4/2. Let l(w) be the second derivative of 0*w**2 + 0*w**5 + w + 0*w**3 + 1/36*w**4 + 0 - a*w**6. Suppose l(k) = 0. Calculate k.
-1, 0, 1
Let w(q) be the second derivative of -q**6/5 + q**5/10 + q**4/2 - q**3/3 + 2*q. Factor w(k).
-2*k*(k - 1)*(k + 1)*(3*k - 1)
Suppose 4*i = 4*o - 20, 4*o - i - 10 = 4. Let k(w) be the second derivative of 1/11*w**2 - 5/33*w**3 - o*w + 0 + 2/33*w**4. Determine d, given that k(d) = 0.
1/4, 1
Let z(h) = 14*h**2 - 71*h + 5. Let p be z(5). Factor -1/2*g - 1/4*g**2 + p.
-g*(g + 2)/4
Let w(k) be the third derivative of 7*k**6/600 + k**5/25 + k**4/40 - k**3/15 - 33*k**2. Find c, given that w(c) = 0.
-1, 2/7
Let k = 8 - 4. Suppose -k = -3*r + 2. Find o, given that -1/3*o**4 + 2/3*o**r + 1/3*o - 1/3 - 2/3*o**3 + 1/3*o**5 = 0.
-1, 1
Let f = 0 - -12. Let s be (f/(-21))/(10/(-7)). Determine t so that 0*t + 2/5 - s*t**2 = 0.
-1, 1
Let h = -8 + 10. Find g such that -2*g**3 + 3*g - g - 4*g**h - 2*g = 0.
-2, 0
Factor -32*n + 156/7*n**2 + 14 - 32/7*n**3 + 2/7*n**4.
2*(n - 7)**2*(n - 1)**2/7
Let p(w) be the second derivative of w**6/105 + 26*w**5/35 + 169*w**4/7 + 8788*w**3/21 + 28561*w**2/7 - 26*w. What is y in p(y) = 0?
-13
Let j(a) be the first derivative of 0*a + 0*a**2 - 1/14*a**4 + 4/21*a**3 - 2. Solve j(w) = 0.
0, 2
Let q(g) = g**2 + 3*g - 21. Let v be q(-9). Let a = v - 98/3. Solve -2/3*u + u**2 + 0 - a*u**3 = 0.
0, 1, 2
Let o(k) be the second derivative of -k**7/14 - k**6/2 - 3*k**5/2 - 5*k**4/2 - 5*k**3/2 - 3*k**2/2 + 10*k. Factor o(t).
-3*(t + 1)**5
Let w be 14/(-6) - -3 - 76/(-57). Factor 1/3*j**3 + 64/3 + 16*j + 4*j**w.
(j + 4)**3/3
Suppose 8/7 - 4/7*w**2 - 4/7*w = 0. What is w?
-2, 1
Let h(o) = -o**2 - o + 15. Let a be h(3). Find c such that -1/2*c - 1/2*c**2 + 1/2*c**a + 1/2 = 0.
-1, 1
Let p(c) be the third derivative of 0 + 8/33*c**3 - 2*c**2 + 1/55*c**5 - 1/11*c**4 + 0*c - 1/660*c**6. Suppose p(z) = 0. What is z?
2
Let s(m) be the second derivative of -2*m + 1/4*m**2 + 0 + 1/6*m**3 - 1/20*m**5 + 0*m**4 - 1/60*m**6. Factor s(v).
-(v - 1)*(v + 1)**3/2
Let w(o) = o**2 + o - 1. Let u(v) = -7*v**2 - 16*v - 19. Let m(t) = -u(t) - 6*w(t). Factor m(d).
(d + 5)**2
Suppose 81 = 7*z - 73. Let j be (-18)/99 - (-4)/z. Factor 0 + j*u + 2/9*u**3 - 2/9*u**2.
2*u**2*(u - 1)/9
Let i = -2471/360 - -62/9. Let y(g) be the second derivative of -1/4*g**2 + 2*g + 0 + 1/4*g**3 + i*g**5 - 1/8*g**4. Factor y(h).
(h - 1)**3/2
Factor r**2 - 6*r**3 - 4*r**2 + r**2 + 0*r**3.
-2*r**2*(3*r + 1)
Let s = 6485/956 + -8/239. Factor 9/4*h**2 + 1/4*h**3 + 27/4 + s*h.
(h + 3)**3/4
Let z(x) be the first derivative of -x**5/10 - x**4/8 + x**3/6 + x**2/4 + 4. Determine g, given that z(g) = 0.
-1, 0, 1
Let y(n) be the first derivative of 2/7*n**3 + 4/7*n - 1/14*n**4 - 2/35*n**5 + 5/7*n**2 - 1. Factor y(g).
-2*(g - 2)*(g + 1)**3/7
Let x be (-3)/(5/2*-3). Let v be 3 + (-21)/(-15) + -4. Let 0 + 2/5*g**2 - 2/5*g**4 + v*g - x*g**3 = 0. Calculate g.
-1, 0, 1
Let q be (0/(0 + 2))/1. Let t(i) be the first derivative of -3/20*i**5 - 1/8*i**4 + q*i**2 + 1 + 0*i + 1/12*i**3. Factor t(h).
-h**2*(h + 1)*(3*h - 1)/4
Let h(o) = 7*o**2 + 24*o - 37. Let d(v) = 3*v**2 + 12*v - 18. Let t(u) = 13*d(u) - 6*h(u). Factor t(s).
-3*(s - 2)**2
Find i such that -4 - 2*i**2 - 7*i - 12*i + 13*i = 0.
-2, -1
Find b, given that -1/4*b + 1/4*b**2 + 0 = 0.
0, 1
Let r(p) be the third derivative of p**7/840 - p**6/360 + 2*p**3/3 - 3*p**2. Let o(h) be the first derivative of r(h). Factor o(t).
t**2*(t - 1)
Let k(o) be the second derivative of o**7/399 + 2*o**6/285 - o**5/95 - 2*o**4/57 + o**3/57 + 2*o**2/19 + 52*o. Solve k(x) = 0.
-2, -1, 1
Let m(g) = g**2 - 6*g + 1. Let j be m(7). Let p(r) = r**3 - 7*r**2 - 8*r. Let f be p(j). Determine v so that f + 0*v - 2/9*v**3 + 2/9*v**2 = 0.
0, 1
Let g be 0 - 9 - (-2 + 1). Let c be 6/(-4)*g/2. Let k(q) = -6*q**2 + 5*q + 5. Let z(u) = -7*u**2 + 6*u + 6. Let d(f) = c*k(f) - 5*z(f). Factor d(j).
-j**2
Let r be 20/(-50) + 169/420. Let p(f) be the third derivative of 0 + r*f**7 + 0*f - 3*f**2 + 0*f**5 + 1/240*f**6 + 0*f**3 + 0*f**4. Factor p(q).
q**3*(q + 1)/2
Let y(q) be the first derivative of -q**6/180 - q**5/15 - q**4/3 - q**3/3 - 1. Let a(d) be the third derivative of y(d). Factor a(t).
-2*(t + 2)**2
Let 2/3*w + 0 + 4/3*w**2 + 2/3*w**3 = 0. Calculate w.
-1, 0
Let z(s) = s**3 - 1. Let i(c) = -c**3 - 12*c**2 + 36*c + 2. Let n(o) = i(o) + 2*z(o). What is r in n(r) = 0?
0, 6
Let n = -1 + 4. Suppose 3*x - 4*x + 4*w = 3, -n*x - 2*w + 19 = 0. Factor -2/7*j**x + 0*j**3 + 4/7*j**4 + 0 - 4/7*j**2 + 2/7*j.
-2*j*(j - 1)**3*(j + 1)/7
Factor -3/2*k**3 - 9*k**2 - 12 - 18*k.
-3*(k + 2)**3/2
Let b = -40 - -42. Let i(f) be the first derivative of 1/2*f**2 + b + 0*f**3 - 1/4*f**4 + 0*f. Factor i(h).
-h*(h - 1)*(h + 1)
Let l = -3 - -5. Let u = l - 0. Factor 6*f**2 + f**3 - 3*f**3 - 2*f**u.
-2*f**2*(f - 2)
Let j(p) be the third derivative of p**8/2184 - 2*p**7/1365 - p**6/780 + p**5/195 - 3*p**2. Suppose j(k) = 0. Calculate k.
-1, 0, 1, 2
Let o(y) = y**2 + 33*y + 67. Let z be o(-31). Suppose 0 + 2/11*g**z - 4/11*g**4 + 0*g - 2/11*g**3 + 4/11*g**2 = 0. Calculate g.
-1, 0, 1, 2
Factor -6/5*z**3 + 0*z + 4/5*z**2 + 0.
-2*z**2*(3*z - 2)/5
Let u(i) be the second derivative of -i + 1/3*i**3 - 1/12*i**4 - 1/2*i**2 + 0. Factor u(a).
-(a - 1)**2
Let d(i) be the first derivative of -i**3 + i**2/2 + 2*i - 24. Solve d(y) = 0.
-2/3, 1
Factor -3*p + 49*p**2 + 12*p**2 - 17*p**2 + 19*p + 28*p**3.
4*p*(p + 1)*(7*p + 4)
Let q(a) be the second derivative of a**5/50 + 2*a**4/15 + 4*a**3/15 - 2*a. Determine s, given that q(s) = 0.
-2, 0
Let o(m) be the second derivative of m**6/180 + m**5/30 + m**4/12 - m**3/3 - 3*m. Let k(p) be the second derivative of o(p). Let k(v) = 0. Calculate v.
-1
Let q(z) = -4*z**2 + 5*z. Let i(g) = -g**2 + g. Suppose 5*a - 1 = -6. Let v be 10/(-4)*2/a. Let d(o) = v*i(o) - q(o). Factor d(x).
-x**2
Let q(o) = 22*o + 1. Let k be q(-1). Let g = 25 + k. Factor -2/3*f**g + 0*f**3 + 0*f + 0 + 2/3*f**2.
-2*f**2*(f - 1)*(f + 1)/3
Let q(t) be the second derivative of -t**5/30 + 4*t**4/9 - 16*t**3/9 + 7*t. What is o in q(o) = 0?
0, 4
Let x(z) = z**3 - 19*z**2 - 9*z - 9. Let r(y) = y**2 + y + 1. Let b(t) = -18*r(t) - 2*x(t). Factor b(p).
-2*p**2*(p - 10)
Suppose 0 + 0*k**3 + 0*k + 0*k**4 + 5/3*k**5 + 0*k**2 = 0. Calculate k.
0
Let m(x) be the second derivative of -2*x**6/15 + 13*x**5/5 - 20*x**4 + 224*x**3/3 - 128*x**2 + 11*x. Factor m(y).
-4*(y - 4)**3*(y - 1)
Let w = 233/4 + -58. Factor 3/4*i**3 + 0 + 1/4*i - w*i**4 - 3/4*i**2.
-i*(i - 1)**3/4
Let i = -16/9 + 41/18. Let p(m) be the first derivative of 2*m - 2/3*m**3 + m**2 - i*m**4 + 4. Solve p(f) = 0.
-1, 1
Let h(q) = 4*q**3 - 6*q**2 + 16*q - 4. Let o(r) = -r**3 + 2*r**2 - 5*r + 1. Suppose 0 = -g - 3 - 0. Let i(n) = g*h(n) - 10*o(n). Factor i(p).
-2*(p - 1)*(p + 1)**2
Let a = -10 + 3. Let m = a + 15/2. Determine t, given that 1/2 + m*t**2 + t = 0.
-1
Let y be (1 + -4)*12/(-48). Factor y*n**2 - n - 1 + n**3 + 1/4*n**4.
(n - 1)*(n + 1)*(n + 2)**2/4
Factor y**2 + 22 + 15 - 59 - 2*y + 19.
(y - 3)*(y + 1)
Let n(t) be the second derivative of 0*t**2 + 1/40*t**5 + 3*t + 0*t**3 