 3*r + 0*r**3 - 1/25*r**5 + 1/30*r**4 + 0. Factor w(v).
2*v**2*(v - 1)**2/5
Let h = 921 + -4603/5. Factor h*d**2 - 2/5*d + 24/5*d**3 + 0.
2*d*(3*d + 1)*(4*d - 1)/5
Let 90*v**2 + 2*v**5 - 4*v**5 - 200*v**4 - 33*v**5 - 255*v**3 = 0. Calculate v.
-3, 0, 2/7
Let c(w) be the second derivative of -w**7/280 + w**6/40 - w**5/20 - w**3/6 + 6*w. Let d(l) be the second derivative of c(l). Let d(r) = 0. What is r?
0, 1, 2
Let l be (1 + 1)*(-96)/12. Let t = 16 + l. Factor t*d**2 + 2/9*d**3 - 2/9*d**4 + 0 + 0*d.
-2*d**3*(d - 1)/9
Let o(m) be the third derivative of -2*m**7/105 - m**6/30 + m**5/15 + m**4/6 - 18*m**2. Determine h, given that o(h) = 0.
-1, 0, 1
Let x be (-3 - -2)/((-1)/3). What is a in -x*a**2 + 0*a**2 - a**5 - 2*a**5 - a**4 + 4*a**4 + 9*a**3 - 6*a = 0?
-1, 0, 1, 2
Let l(k) = -20*k**2 + 20*k. Let y(v) = v**2 - v. Let n(p) = -l(p) - 16*y(p). Factor n(d).
4*d*(d - 1)
Factor -2*b**2 + 22/3*b - 4.
-2*(b - 3)*(3*b - 2)/3
Determine k, given that 9/5*k**2 - 3/5*k**4 - 3*k + 3/5*k**3 + 6/5 = 0.
-2, 1
Let h**2 + 277 + 3*h**2 - 313 = 0. What is h?
-3, 3
Suppose -4*t - 2 = 2*d, 2*t + 16 = d + d. Factor a**2 - a**4 + 0 + 0*a**3 + 1/2*a**d - 1/2*a.
a*(a - 1)**3*(a + 1)/2
Let c = -78 - -313/4. Let f(j) be the first derivative of -1/16*j**4 + c*j**2 + 0*j + 1/12*j**3 + 2. Solve f(z) = 0.
-1, 0, 2
Let k = -49 + 52. Let g(v) be the third derivative of 0*v**3 + k*v**2 + 0 + 1/240*v**6 + 1/48*v**4 + 0*v - 1/60*v**5. Determine f so that g(f) = 0.
0, 1
What is n in -8/3*n**2 + 0 + 8/3*n**3 + 2/3*n = 0?
0, 1/2
Let q(m) be the second derivative of m**7/126 - m**5/60 + 16*m. Find p such that q(p) = 0.
-1, 0, 1
Let i = -630 - -632. Suppose 0*w - i*w**4 + 0*w**3 + 8/3*w**2 - 2/3*w**5 + 0 = 0. What is w?
-2, 0, 1
Let n(t) be the first derivative of -3/4*t**4 - 11/15*t**5 - 1/9*t**3 + 0*t - 2/9*t**6 + 5 + 1/6*t**2. Find y, given that n(y) = 0.
-1, 0, 1/4
Let y(v) be the third derivative of -v**6/360 - v**5/40 - v**4/12 - v**3 - 2*v**2. Let b(m) be the first derivative of y(m). Factor b(q).
-(q + 1)*(q + 2)
Let m be ((-8)/6)/(2/(-6)). Let -6*o**5 + 42*o**5 + 3*o**3 + 0*o**3 - 21*o**m = 0. Calculate o.
0, 1/4, 1/3
Let i(w) be the second derivative of -w**5/20 + w**4/4 - w**3/2 + w**2/2 + 5*w. Solve i(h) = 0.
1
Let l(o) = -3*o - 1. Let d be l(-1). Suppose 0 = d*v - 4 - 4. Let 18/5*y**2 + 0 + 4/5*y + v*y**3 = 0. Calculate y.
-1/2, -2/5, 0
Let d be 5/(-10)*((-26)/10 - -1). Let 0 - 2/5*q**2 - d*q = 0. Calculate q.
-2, 0
Let p be (-3)/(((-27)/2)/9). Let 3*l**p - 7*l**3 + 4*l**3 - 3*l**2 = 0. What is l?
0
Suppose 5*k + 5*y + 15 = 0, -8*k + 3*k + 3*y + 25 = 0. Solve 3*q**4 - q**2 - 2*q**4 + 0*q**k = 0.
-1, 0, 1
Solve -20*q**2 - 14 + 2 + 2*q**2 - 3*q**3 - 27*q = 0 for q.
-4, -1
Let r(j) = 2*j**4 + 4*j**3 + 18*j**2 - 22*j - 20. Let z(o) = o**2 - o - 1. Let q(w) = 2*r(w) - 36*z(w). Let q(t) = 0. Calculate t.
-1, 1
Factor -8*t**4 + 74*t**2 + 6*t**5 + 5*t**3 - 70*t**2 - 7*t**3.
2*t**2*(t - 1)**2*(3*t + 2)
Let -1/2*g + 0 - g**3 + 9/4*g**2 = 0. Calculate g.
0, 1/4, 2
Let p be (114/4655)/((-4)/(-10)). Let c = 113/245 - p. Suppose -2*f + 18/5*f**3 + c + 6/5*f**2 = 0. Calculate f.
-1, 1/3
Suppose 4*u - 5*u = -2. Let i(o) = o - 5. Let w be i(7). Let -2*v**2 + 4*v**3 + w*v**4 + v**2 + 3*v**u = 0. What is v?
-1, 0
Let x = -53 + 55. Factor -1/3*f - 1/3*f**x + 0.
-f*(f + 1)/3
Factor 2*f**2 + 4*f - 2*f + f**2 - 1.
(f + 1)*(3*f - 1)
Let u = 0 - -2. Suppose 4*h = 5*v + 6, -5*v + 0*v + 5*h = 10. Factor 4*z**3 - 3*z**v + u + 2 - 3*z**3.
(z - 2)**2*(z + 1)
Let m(j) be the first derivative of -j**4 - 8*j**3/3 - 2*j**2 + 18. Find x such that m(x) = 0.
-1, 0
Let f(t) be the third derivative of 0*t**4 + 0*t - 3*t**2 + 1/30*t**5 + 0 - 1/3*t**3. Find c such that f(c) = 0.
-1, 1
Let v(w) be the second derivative of -5*w**7/168 - w**6/60 + w**5/16 + w**4/24 + 8*w. Solve v(x) = 0 for x.
-1, -2/5, 0, 1
Let f be (-12)/(-2) + (-72)/18. Factor 1/3*c**f + 1/3*c + 0.
c*(c + 1)/3
Let r(d) be the third derivative of -9*d**8/224 - 19*d**7/70 - 31*d**6/40 - 6*d**5/5 - 17*d**4/16 - d**3/2 - 7*d**2. Factor r(p).
-3*(p + 1)**4*(9*p + 2)/2
Let x(t) be the first derivative of -1/18*t**4 + 2/27*t**3 - 4 + 0*t**2 + 0*t. Suppose x(g) = 0. Calculate g.
0, 1
Let c be ((-10)/(-4))/(5/3). Let z(g) be the second derivative of 2*g + 0 + 1/4*g**4 + 0*g**3 - c*g**2. Solve z(o) = 0.
-1, 1
Let b be 0 + 0 + 4/14. Let g be 3*(-8)/(-6)*(-10)/(-20). Factor 0 + 4/7*o - b*o**g.
-2*o*(o - 2)/7
Let x(g) be the first derivative of g**6/36 - 2*g**5/15 + g**4/8 + 2*g**3/9 - g**2/3 - 3. Factor x(a).
a*(a - 2)**2*(a - 1)*(a + 1)/6
Factor -10*s**3 - 2*s**4 - 3*s**2 + 12*s**3 + 4*s**4 - s**2.
2*s**2*(s - 1)*(s + 2)
Let n(f) = -4*f - 32. Let v be n(-8). Factor 1/2*c**4 + 0*c + 0 + 0*c**3 - 1/2*c**5 + v*c**2.
-c**4*(c - 1)/2
Suppose 0 = 31*x - 30*x - 1. Let t(h) be the first derivative of -1/20*h**4 - x - 4/5*h**2 - 4/5*h - 1/3*h**3. Factor t(n).
-(n + 1)*(n + 2)**2/5
Factor -1/9*s**2 - 16/9 + 8/9*s.
-(s - 4)**2/9
Let f = -428/3 - -430/3. Factor 4/3*w + 2/3 + f*w**2.
2*(w + 1)**2/3
Suppose 14*a - 38 = 4. Let i(x) be the third derivative of 1/105*x**5 + 0 + 1/420*x**6 - 2*x**2 + 0*x**a + 0*x + 1/84*x**4. Solve i(d) = 0.
-1, 0
Let v(a) be the second derivative of 1/40*a**5 - a + 0 + 1/2*a**2 + 0*a**3 + 1/240*a**6 + 1/24*a**4. Let n(h) be the first derivative of v(h). Solve n(f) = 0.
-2, -1, 0
Let u(w) be the second derivative of -w**6/15 + w**4/2 + 2*w**3/3 - 23*w. Find t, given that u(t) = 0.
-1, 0, 2
Let r be ((-2)/12)/((-4)/32). Let z(b) = -b**3 + 7*b**2 - b + 9. Let j be z(7). What is a in 0 - 6*a**j - r*a = 0?
-2/9, 0
Suppose 2/7*z**2 + 2/7*z + 0 = 0. What is z?
-1, 0
Let y(j) = -2*j**3 + 4*j**2 + 2*j - 4. Let t be y(2). Let m = -4 + 6. Determine r, given that 0*r**m + 2/5*r**4 + 0 + 2/5*r**3 + t*r = 0.
-1, 0
Let n(u) be the first derivative of u**3/3 - 4*u + 35. Determine o, given that n(o) = 0.
-2, 2
Let r(m) = -m**4 - m**3 + m**2 + 1. Let s(u) = -u**5 + 13*u**4 + 5*u**3 - 9*u**2 - 9. Let f(g) = 18*r(g) + 2*s(g). Suppose f(v) = 0. Calculate v.
0, 2
Let w(f) = -f**2 + 1. Let s(n) = 4*n**2 + 3*n - 1. Let l(a) = 2*s(a) + 6*w(a). Factor l(j).
2*(j + 1)*(j + 2)
Let x(b) = 16*b**3 - 4*b**2 - 70*b + 22. Let n(t) = 16*t**3 - 4*t**2 - 69*t + 21. Let r(s) = 6*n(s) - 5*x(s). Suppose r(c) = 0. Calculate c.
-2, 1/4, 2
Let o be ((4/10)/1)/((-2)/(-20)). Factor 12*b**5 + 18*b**o + 3/4*b + 3/4*b**3 - 9/2*b**2 + 0.
3*b*(b + 1)**2*(4*b - 1)**2/4
Suppose 8*x**3 - 7*x**4 - x**5 - x**5 + 0*x**5 + x**4 = 0. Calculate x.
-4, 0, 1
Let s(q) be the third derivative of 1/630*q**7 + q**2 + 0*q**5 + 0*q**4 + 0*q**3 + 1/360*q**6 + 0*q + 0. Factor s(m).
m**3*(m + 1)/3
Solve -12*u**3 + 22*u**2 + 8 - 4*u**4 - 44*u**2 + 18*u**2 + 12*u = 0.
-2, -1, 1
Let 12/5*s**3 + 6/5 - 2/5*s**4 - 2*s - 4/5*s**2 - 2/5*s**5 = 0. What is s?
-3, -1, 1
Let t(w) = w**4 - w**3 - w - 1. Suppose 0 = -0*s + 5*s - 5. Let u(o) = 2*o**4 + o**3 - o**2 - 3*o - 1. Let l(n) = s*t(n) - u(n). Suppose l(b) = 0. What is b?
-2, -1, 0, 1
Let b(p) be the third derivative of p**6/200 - p**5/100 - p**4/40 + p**3/10 - 8*p**2. Factor b(q).
3*(q - 1)**2*(q + 1)/5
Let j(x) be the second derivative of x**7/63 + x**6/9 + x**5/3 + 5*x**4/9 + 5*x**3/9 + x**2/3 - 13*x. Factor j(h).
2*(h + 1)**5/3
Let o(u) be the first derivative of -u**5/60 + u**4/24 + u**3/3 + u**2 + 3. Let s(i) be the second derivative of o(i). Suppose s(x) = 0. Calculate x.
-1, 2
Let y(o) be the second derivative of -o**5/150 + o**4/45 + 7*o**3/45 + 4*o**2/15 - 9*o. Let y(c) = 0. Calculate c.
-1, 4
Let m be 1/((9/(-6))/(-3)). Suppose -4*o + 648 = 5*b, m*b - o + 18 - 285 = 0. Solve -46*z**4 + 5*z**5 - 8*z - 19*z**5 - b*z**3 - 28*z**4 - 8*z - 88*z**2 = 0.
-2, -1, -2/7, 0
Let l(w) be the first derivative of -1/22*w**4 - 4/33*w**3 + 4/11*w + 1/11*w**2 + 9. Let l(n) = 0. What is n?
-2, -1, 1
Let s = 27/50 - 1/25. Let b(z) be the second derivative of -1/14*z**7 - 1/15*z**6 - s*z**3 + 0 + z - z**2 + 3/10*z**5 + 1/3*z**4. Suppose b(l) = 0. What is l?
-1, -2/3, 1
Let q be ((-8)/(-4) - 1) + 3. Let r(m) = -m**4 + m**3 - m**2 + m + 1. Let b(g) = 5*g**4 - 4*g**3 + 3*g**2 - 4*g - 4. Let w(z) = q*r(z) + b(z). Solve w(h) = 0.
-1, 0, 1
Let b(d) be the first derivative of -1 + 0*d**2 + 0*d - 3/4*d**4 + 0*d**3. Solve b(y) = 0 for y.
0
Let z(b) be the second derivative of -b**