f. Find h, given that x(h) = 0.
-1, 1
Let 0*z + 0 - 2/5*z**3 + 4/5*z**2 = 0. What is z?
0, 2
Let t(d) be the second derivative of d**4/20 + d**3/5 + 3*d**2/10 + 29*d. Factor t(z).
3*(z + 1)**2/5
Suppose -3*d + 5*d = 0. Suppose 3*t - 5*o + 13 = d, o - 25 = -5*t - 0*o. Solve -9/2*m**2 + 7/4*m - 1/4 + 3/4*m**5 + 11/2*m**3 - 13/4*m**t = 0.
1/3, 1
Suppose 2*q + 3 = -3*o + 12, 4*q + 4*o = 16. What is c in 4*c**4 + 2*c**4 - 4 + 1 + 15*c**q - 3*c + 9*c**2 = 0?
-1, 1/2
Let w(v) be the second derivative of 0*v**2 + 0*v**3 + 0 - 5*v - 1/6*v**4. Factor w(c).
-2*c**2
Let u(h) be the second derivative of -h**8/2800 + h**7/4200 - h**3/2 + h. Let i(l) be the second derivative of u(l). Factor i(g).
-g**3*(3*g - 1)/5
What is q in -3*q**4 + 2/3*q - 2/3*q**3 + 0 + 3*q**2 = 0?
-1, -2/9, 0, 1
Let l(h) = -3*h**4 + 2*h**3 + h**2 - h + 1. Let z(a) = a**4 + a**3 - a**2 - 1. Suppose -2*s + 5 = 3*s. Let j(r) = s*z(r) + l(r). Suppose j(f) = 0. What is f?
-1/2, 0, 1
Let v be (1 - 2/1) + 6. Suppose v*j + 2 = 7. Let y**4 - 2 + j + 2*y**3 - 7*y + 5*y = 0. What is y?
-1, 1
Let s = 35 + -31. Suppose -1/2*b**2 + 1/2*b**3 + 0 + 0*b + 1/2*b**s - 1/2*b**5 = 0. What is b?
-1, 0, 1
Let t be -3*(-6)/9*1 - 2. Let h(w) be the third derivative of 0*w**3 + w**2 + 0 + t*w + 1/42*w**4 - 1/210*w**5. Factor h(p).
-2*p*(p - 2)/7
Let -10*w + w**3 + 7*w - 4*w**2 + 3*w + 3*w = 0. Calculate w.
0, 1, 3
Factor 3*a**2 - 3/2*a**4 + 3/2*a**3 + 0*a + 0.
-3*a**2*(a - 2)*(a + 1)/2
Let s = 13 + -7. Suppose -a = -s*a. Factor -2*f**2 - 16/7*f**3 + a - 4/7*f - 6/7*f**4.
-2*f*(f + 1)**2*(3*f + 2)/7
Suppose 0 = 4*s + 5*c - 18, -s = 2*c - 5*c + 4. Let a be -16*3/(-21)*s. Solve 2/7 + 16/7*t + a*t**2 = 0.
-1/4
Suppose -2*o + 4*d = 2*d - 16, -4 = 3*o + 4*d. Suppose 2*h + 5*x + 5 = 0, 0 - o = -2*h + 4*x. Suppose 0*u - 1/3*u**2 + h - 1/3*u**4 + 2/3*u**3 = 0. Calculate u.
0, 1
Let k(p) = 5*p**4 + 15*p**3 - p**2 + 11*p. Let t(c) be the third derivative of c**7/210 + c**6/40 + c**4/12 - 2*c**2. Let w(g) = 2*k(g) - 11*t(g). Factor w(j).
-j**2*(j + 1)*(j + 2)
Let f(t) = -t + 7. Let c be f(4). Let d(k) be the first derivative of 3*k**c - 1 + 0*k + 3/5*k**5 + 3/2*k**2 + 9/4*k**4. Factor d(g).
3*g*(g + 1)**3
Let t(r) be the third derivative of -r**8/224 + 3*r**7/140 - 3*r**6/80 + r**5/40 + 4*r**2. Factor t(s).
-3*s**2*(s - 1)**3/2
Let b = -8 - -16. Suppose -12 = -4*p + 2*a, p - 2*a + 4*a - b = 0. Factor 2/5*s**p + 0 + 2/5*s**3 + 0*s**2 + 0*s.
2*s**3*(s + 1)/5
Let l(s) = -4*s**3 + 5*s**2 - 8*s + 7. Suppose 2*i = -1 + 3. Let y(j) = -j**3 + j**2 - j + 1. Let a(u) = i*l(u) - 5*y(u). Determine v so that a(v) = 0.
-2, 1
Let n(t) be the third derivative of -t**5/270 + 2*t**4/27 - 16*t**3/27 - 5*t**2. Factor n(q).
-2*(q - 4)**2/9
Let c(m) = m**2 - m - 2. Let d be ((-24)/(-40))/(1/(-5)). Let p(o) = o**2 - 2*o - 3. Let l(u) = d*c(u) + 2*p(u). Factor l(b).
-b*(b + 1)
Suppose -6*m = -m - 10. Let d be 5/m + (0 - 2). Factor 0 + 0*x - 1/2*x**3 + 0*x**2 - d*x**4.
-x**3*(x + 1)/2
Let i(l) be the third derivative of -l**8/672 + l**6/80 - l**5/60 + 36*l**2. Factor i(s).
-s**2*(s - 1)**2*(s + 2)/2
Let h = -197 + 199. Let -2/7*u**h - 6/7*u - 4/7 = 0. What is u?
-2, -1
Factor m**2 + 3*m + 43*m - 8*m**2 + 12 - m**2.
-2*(m - 6)*(4*m + 1)
Let o be 14/(-56) - 5/(-4). Let s(a) be the first derivative of -o + 1/7*a**2 - 2/7*a**3 + 4/7*a. Factor s(i).
-2*(i - 1)*(3*i + 2)/7
Suppose -y = -13*s + 8*s - 1, 4*y - 4 = 4*s. Factor s - 3/2*n - 3*n**2 - 3/2*n**3.
-3*n*(n + 1)**2/2
Let j(s) be the first derivative of -s**8/4200 + s**7/2100 + s**6/450 - s**3 + 2. Let i(a) be the third derivative of j(a). Find w, given that i(w) = 0.
-1, 0, 2
Factor 0 + 1/2*q**2 + 0*q + 1/2*q**4 - q**3.
q**2*(q - 1)**2/2
Let w be (-2)/(-2) - 10118/(-14126). Let t = w + -2/1009. Factor -t*y**2 - 8/7*y**3 - 2/7 - 2/7*y**4 - 8/7*y.
-2*(y + 1)**4/7
Factor 2*s + 6 + 9*s**2 - 11*s - 6*s**2.
3*(s - 2)*(s - 1)
Suppose g = -4*y - 2*g - 11, -y - g - 4 = 0. Let j be 1/y + 2 + 0. What is m in -m**2 - m**3 + 5*m**j - 2*m**4 + 4*m**2 - 5*m**2 = 0?
0, 1
Let p = -20 + 38. Let y = p - 13. Find m, given that 1/2*m**4 - m**2 - m**3 + 1/2 + 1/2*m**y + 1/2*m = 0.
-1, 1
Let p(y) be the first derivative of y**4 - 16*y**3/3 + 6*y**2 + 51. Solve p(i) = 0 for i.
0, 1, 3
Let u(t) = 15*t**2 + 15*t - 25. Let c(f) = -17*f**2 - 14*f + 25. Let n(v) = -5*c(v) - 6*u(v). What is q in n(q) = 0?
-5, 1
Let w(f) be the second derivative of -f**7/21 - f**6/9 + 7*f**5/30 + f**4/2 - 4*f**3/9 - 4*f**2/3 + 8*f. Let w(q) = 0. Calculate q.
-2, -1, -2/3, 1
Let a = -4 + 2. Let j = a + 4. Find s, given that 3*s - j - 3*s + 2*s**2 = 0.
-1, 1
Let p(r) = 265*r**3 + 480*r**2 - 1175*r + 395. Let b(o) = -22*o**3 - 40*o**2 + 98*o - 33. Let q(h) = 35*b(h) + 3*p(h). Factor q(w).
5*(w - 1)*(w + 3)*(5*w - 2)
Let v = -27 - -30. Let q(z) be the second derivative of 2*z + 1/10*z**5 + 1/6*z**4 - 1/3*z**v - z**2 + 0. Factor q(c).
2*(c - 1)*(c + 1)**2
Let c be 4 + (-1)/(4/15). Let u be ((-6)/(-2))/((-6)/(-4)). Factor 0 - 1/4*z**u + c*z.
-z*(z - 1)/4
Let i(p) = 2*p**4 + 2*p**3 + 5*p**2 - 5*p. Let g = -30 + 35. Let h(n) = -3*n**4 - 3*n**3 - 7*n**2 + 7*n. Let m(d) = g*h(d) + 7*i(d). Factor m(o).
-o**3*(o + 1)
Suppose 0*j = j - 4. Factor r**2 - 2*r**3 - 3*r**4 - r + 4*r**j + 3*r - 2*r**2.
r*(r - 2)*(r - 1)*(r + 1)
Let k(q) be the third derivative of -q**5/180 - q**4/24 - q**3/9 - 13*q**2. Factor k(j).
-(j + 1)*(j + 2)/3
Let p(g) be the second derivative of 3*g**5/80 + 11*g**4/16 + 35*g**3/8 + 75*g**2/8 - g. Find a such that p(a) = 0.
-5, -1
Suppose -20*f**2 - 40*f**5 + 25*f**4 + 25*f**5 + 9*f**3 + 11*f**3 = 0. Calculate f.
-1, 0, 2/3, 2
Let z(r) be the second derivative of -r**5/5 + r**4/6 - 2*r**3/3 - 3*r. Let h(j) = 5*j**3 - 2*j**2 + 4*j. Let x(o) = -6*h(o) - 7*z(o). Solve x(p) = 0 for p.
-2, 0, 1
Suppose -5*b**3 + 2*b + 2376 + 7*b**2 - 2376 - 4*b**4 = 0. Calculate b.
-2, -1/4, 0, 1
Suppose 10 = 12*h - 10*h. Let u(j) be the first derivative of 0*j + 152/21*j**3 - 17*j**4 - 4 - 8/7*j**2 + 14*j**h. Determine z so that u(z) = 0.
0, 2/7, 2/5
Let p(w) = w**3 + 4*w**2 + w - 3. Let a be p(-3). Let m(k) be the first derivative of -k + 1/3*k**a - 3 + 0*k**2. Factor m(q).
(q - 1)*(q + 1)
Let k = 27 + -19. Let i = k + -8. Factor i + 4/5*h - 2/5*h**2.
-2*h*(h - 2)/5
Let u be 0/4 + (-2 - 17/(-8)). Let y(g) be the first derivative of 2 + 1/4*g + 1/8*g**4 + 1/20*g**5 - u*g**2 - 1/6*g**3 - 1/24*g**6. Factor y(f).
-(f - 1)**3*(f + 1)**2/4
Let q(w) be the second derivative of w**9/9072 - w**8/2880 + w**7/3780 - w**4/12 - 3*w. Let y(n) be the third derivative of q(n). Factor y(x).
x**2*(x - 1)*(5*x - 2)/3
Let z(a) be the first derivative of a**3/4 + a**2/4 + 4. Factor z(t).
t*(3*t + 2)/4
Let l(c) = -4*c - 10. Let n be l(-3). Let z be (-9)/(-10)*(-15)/(-18). Factor -1/4*v**n - z*v - 1/2.
-(v + 1)*(v + 2)/4
Suppose 2*i + 18 = 5*i. What is l in -2/3*l**3 - 14/3*l**2 - i - 10*l = 0?
-3, -1
Let x be (-14)/(-147)*49/14. What is v in -x*v - v**2 + 0 - v**3 - 1/3*v**4 = 0?
-1, 0
Suppose -8 + 0 = -4*w. Factor v**2 - 2*v**w - 68*v + 71*v.
-v*(v - 3)
Let p = -24 - -24. Let q(b) be the second derivative of -25/126*b**7 - 1/2*b**6 + 2*b - 1/9*b**4 - 2/5*b**5 + 0 + p*b**2 + 0*b**3. Determine z so that q(z) = 0.
-1, -2/5, 0
Let y(x) be the third derivative of -x**5/240 - x**4/32 - x**3/12 - 10*x**2. Factor y(v).
-(v + 1)*(v + 2)/4
Let 0*p + 1/2*p**4 + p**2 + 0 + 3/2*p**3 = 0. Calculate p.
-2, -1, 0
Factor -4/7*h - 2*h**2 + 0.
-2*h*(7*h + 2)/7
Let g(n) be the third derivative of -n**8/1176 - 2*n**7/245 - n**6/30 - 8*n**5/105 - 3*n**4/28 - 2*n**3/21 + 35*n**2. Factor g(j).
-2*(j + 1)**4*(j + 2)/7
Let q(b) be the second derivative of b**7/8820 + b**6/2520 - b**4/4 - b. Let s(x) be the third derivative of q(x). Factor s(t).
2*t*(t + 1)/7
Let d be (-13)/(-3)*(-36)/(-30). Let x = 192/35 - d. Factor -12/7*c**2 - 16/7 - x*c**3 - 24/7*c.
-2*(c + 2)**3/7
Let w(l) be the third derivative of 0 + 2*l**2 + 0*l**3 + 0*l + 1/168*l**8 - 2/15*l**5 + 1/10*l**6 - 4/105*l**7 + 1/12*l**4. Factor w(v).
2*v*(v - 1)**4
Factor 0*z**2 - 2/11*z**3 + 0*z + 0 + 2/11*z**4.
2*z**3*(z - 1)/11
Let 16 - 17*w**2 - 15*w**2 + 4*w**2 + 48*w = 0. Calculate w.
-2/7, 2
Let s be 6/(-15) - 26/10. Let q(n) = -5*n**3 + 2*n**2 - 4. Let r(d) = 4*d**3 - d**2 + 3. Let m(z) = s*q(z) - 4*r(z). Suppose m(u) = 0. Calculate u.
-2