/9*t**2 = 0 for t.
-2, 1
Let v(f) be the second derivative of f**6/15 + 9*f**5/10 + 9*f**4/2 + 9*f**3 + 2*f. What is i in v(i) = 0?
-3, 0
Suppose -18*p**3 - p**4 - 11 - 36*p - 2*p**4 + 3 - 39*p**2 - 4 = 0. Calculate p.
-2, -1
Let a be (2/(-2))/(-5 - -4). Factor -7 - 6*z**2 + 4*z**2 - 6*z + 2 + a.
-2*(z + 1)*(z + 2)
Let v(t) be the second derivative of -2*t + 0 + 3/4*t**2 + 1/8*t**3 - 1/16*t**4. Factor v(b).
-3*(b - 2)*(b + 1)/4
Let d(t) be the third derivative of -t**5/480 + t**4/64 - t**3/24 + 4*t**2. Factor d(h).
-(h - 2)*(h - 1)/8
Factor -12*z**4 + 414 - 4*z**5 + 16*z**2 - 414.
-4*z**2*(z - 1)*(z + 2)**2
Let s be ((-4)/1)/(0 + -2). Suppose -s*o - 5 = -3*o. Find t such that -t**2 - 2*t + 1 - t**2 - 2*t**2 - 2*t**o + 1 + 4*t**3 + 2*t**4 = 0.
-1, 1
Let i(g) be the first derivative of -1 - 2/3*g**3 - 1/8*g**4 - g**2 + 0*g. Suppose i(m) = 0. What is m?
-2, 0
Let d(b) be the second derivative of -b**4/6 - b**3/3 + 7*b. Factor d(r).
-2*r*(r + 1)
Let y = -34/11 + 521/165. Let v(z) be the second derivative of 0*z**2 + 1/5*z**5 + y*z**6 - 2/3*z**3 - 1/6*z**4 + 2*z + 0. Factor v(a).
2*a*(a - 1)*(a + 1)*(a + 2)
Suppose 4 = n - 1. Factor 2*k**4 - k**n - 4*k**4 - 2*k**3 + 3*k**5 + 2*k**2.
2*k**2*(k - 1)**2*(k + 1)
Let m(d) be the second derivative of -d**7/630 + d**6/45 - d**5/10 + 5*d**4/12 - 4*d. Let i(o) be the third derivative of m(o). Suppose i(l) = 0. What is l?
1, 3
Suppose 0*d + 0 - 1/4*d**3 + 0*d**2 + 1/2*d**4 - 1/4*d**5 = 0. Calculate d.
0, 1
Let x = -30 + 33. Let b(m) be the second derivative of 1/5*m**5 + 0*m**2 + 0*m**3 + 0 - 1/6*m**4 - x*m - 1/15*m**6. Determine h so that b(h) = 0.
0, 1
Let h = 19 + -19. Let l(s) be the first derivative of -s**4 + 2*s**2 + h*s - 1 - 10/3*s**3 + 2*s**5. Find i, given that l(i) = 0.
-1, 0, 2/5, 1
Let n(z) = 6*z**2 - 10*z. Let x(w) = -5*w**2 + 10*w. Let b(v) = 3*n(v) + 4*x(v). Suppose b(j) = 0. Calculate j.
0, 5
Let d(z) be the third derivative of -1/30*z**6 + 5*z**2 - 1/15*z**5 + 0*z**4 + 0*z + 0 + 0*z**3 + 2/105*z**7 + 1/84*z**8. Determine h so that d(h) = 0.
-1, 0, 1
Suppose 22*q + 3 = 26*q + 3*z, 0 = q + 2*z + 3. Find a such that 0 - 2/3*a**4 + 2/3*a**q + 0*a**2 + 0*a = 0.
0, 1
Let d(g) = -9*g - 9. Let a(s) = -s**2 - 9*s - 8. Suppose -2*f + 2*j + 2 = 14, f = -2*j + 3. Let m(l) = f*a(l) + 2*d(l). Solve m(u) = 0 for u.
-2, -1
Let j = 29 - 42. Let b be j/(-21) + (-2)/7. Factor b*u + 2/3 - 2/3*u**2 - 1/3*u**3.
-(u - 1)*(u + 1)*(u + 2)/3
Let j be 4/18*1 + (-2)/(-18). Factor -j*w**3 + 1/3*w**4 + 1/3*w**5 - 1/3*w**2 + 0*w + 0.
w**2*(w - 1)*(w + 1)**2/3
Solve 2*r**4 + r**4 - r + 0*r + 3*r**2 - 3*r**3 - 2*r**4 = 0 for r.
0, 1
Let k = 378 + -755/2. Let v(h) = -h + 6. Let p be v(6). Solve -1/2*r**5 + k*r**3 + 1/2*r**2 + 0 - 1/2*r**4 + p*r = 0 for r.
-1, 0, 1
Let s(y) be the second derivative of y**8/5040 + y**7/1260 + y**3/6 - y. Let n(l) be the second derivative of s(l). Find f, given that n(f) = 0.
-2, 0
Solve 4*a**3 + 2*a**2 - 2*a**2 + 16*a**2 + 16*a = 0 for a.
-2, 0
Let c(u) be the second derivative of -u**6/360 + u**5/120 + u**4/12 + 2*u**3/3 + 5*u. Let h(z) be the second derivative of c(z). Factor h(g).
-(g - 2)*(g + 1)
Suppose -12*g**2 + 18*g**2 - 7*g**2 + 4*g**3 - 7*g**2 = 0. Calculate g.
0, 2
Let c(w) be the third derivative of 0*w + 1/270*w**5 + 0 + 3*w**2 - 1/108*w**4 + 0*w**3. Find d, given that c(d) = 0.
0, 1
Let n = 110/3 - 36. Factor 0*y**2 - n + 4/3*y**3 - 4/3*y + 2/3*y**4.
2*(y - 1)*(y + 1)**3/3
Let p(k) be the second derivative of -k**7/21 - 4*k**6/15 - k**5/2 - k**4/3 - 5*k. Solve p(m) = 0 for m.
-2, -1, 0
Let t(o) be the first derivative of -o**7/2520 + o**6/1080 + o**5/360 - o**4/72 - 4*o**3/3 - 2. Let h(v) be the third derivative of t(v). Factor h(a).
-(a - 1)**2*(a + 1)/3
Let b = 6 - -1. Let d be 2/b + (-76)/(-28). Factor 0*p + d*p**2 + 4*p - p**2.
2*p*(p + 2)
Let a = 28 + -24. Factor 2*q**5 + 8*q**4 - 3*q**5 - 6*q**a - 2*q**2 + 4*q**3 - 3*q**3.
-q**2*(q - 2)*(q - 1)*(q + 1)
Let n(d) = -4*d**2 - 13*d - 12. Let r(h) = -4*h**2 - 12*h - 12. Let w(m) = -4*n(m) + 3*r(m). Find z, given that w(z) = 0.
-3, -1
Let r = -32 - -59. Let b be -2 - 12*(-6)/r. Solve 2/3*f + b*f**2 + 0 = 0 for f.
-1, 0
Let x(q) be the first derivative of -2*q**6/15 + 4*q**5/5 - 19. Determine b, given that x(b) = 0.
0, 5
Factor -1 - 20*m**4 + 26*m**3 - 24*m**4 - 64*m**2 + 50*m**3 + 10*m**5 - 3 + 26*m.
2*(m - 1)**4*(5*m - 2)
Let b = -692 + 697. What is o in 0*o + 0*o**2 + 3*o**4 - 3/2*o**b - 3/2*o**3 + 0 = 0?
0, 1
Let p(u) be the third derivative of -49/300*u**5 + 0 - 2/15*u**3 + 2*u**2 + 7/30*u**4 + 0*u. What is x in p(x) = 0?
2/7
Let m(z) be the first derivative of 5 + 5/27*z**6 + 8/9*z**2 + 0*z - 1/3*z**4 + 40/27*z**3 - 26/45*z**5. Suppose m(p) = 0. What is p?
-1, -2/5, 0, 2
Let b be (36/45)/((-48)/45 + 2). Solve 6/7*m**3 + 2/7*m - 2/7*m**4 - b*m**2 + 0 = 0 for m.
0, 1
Let z = 194 - 580/3. Find g, given that -g**3 + 0 + 1/3*g + z*g**4 + 0*g**2 = 0.
-1/2, 0, 1
Suppose -7*d - d + 7*d = 0. Let d - 2/5*u + 1/5*u**2 = 0. What is u?
0, 2
Let i(v) be the second derivative of v**6/900 + v**5/150 + v**4/90 - 5*v**2/2 - 4*v. Let f(s) be the first derivative of i(s). Find w such that f(w) = 0.
-2, -1, 0
Let n(s) = -8*s + 28. Let h be n(3). Let 10/13*r**3 + 4/13*r**h + 8/13*r**2 + 0 + 2/13*r = 0. Calculate r.
-1, -1/2, 0
Find c such that -2*c**4 + 2*c**2 + 0 - 8/3*c**3 + 3*c - 1/3*c**5 = 0.
-3, -1, 0, 1
Factor -21/5*c**2 + 78/5*c + 24/5.
-3*(c - 4)*(7*c + 2)/5
Let q(u) be the third derivative of u**5/120 + u**4/8 + 3*u**3/4 - 4*u**2. Factor q(i).
(i + 3)**2/2
Let o(v) be the first derivative of 1/15*v**5 - 9*v**2 + 4*v**3 - 5/6*v**4 + 9 + 9*v. Determine p so that o(p) = 0.
1, 3
Suppose 0 = 5*p - 15, -2*y - p + 27 = 2*p. Let s be 22/(-8) + y/3. Factor 0*j**2 + 0*j + s*j**3 + 0.
j**3/4
Let r(q) be the third derivative of -q**10/529200 - q**9/105840 - q**8/70560 + q**5/12 - q**2. Let h(w) be the third derivative of r(w). Factor h(b).
-2*b**2*(b + 1)**2/7
Let c(y) be the third derivative of y**5/12 - 5*y**4/4 + 20*y**3/3 + y**2 + 38*y. Factor c(u).
5*(u - 4)*(u - 2)
Let w be (2 + (-138)/72)*16. Let 1/3*n**2 - n - w = 0. What is n?
-1, 4
Suppose 3/4*a**2 - 3*a + 3 = 0. Calculate a.
2
Let a = -303 - -6365/21. Let n(k) be the first derivative of 1/14*k**4 - 1/7*k**2 + a*k**3 - 2 - 2/7*k. Find w such that n(w) = 0.
-1, 1
Let s(p) be the first derivative of -1/5*p**4 + 0*p + 9 + 4/15*p**3 + 4/5*p**2. Factor s(i).
-4*i*(i - 2)*(i + 1)/5
Let h = 3 - 3. Factor -6/5*q**3 - 2/5*q + h + 2/5*q**4 + 6/5*q**2.
2*q*(q - 1)**3/5
Suppose -3*d + 4 = d. Suppose -2*j = -1 - d. Let 2*g**2 + 6 - 5 - 2*g**4 - j = 0. Calculate g.
-1, 0, 1
Let k(x) = 13*x**2 - 16*x + 3. Let h(z) be the second derivative of 5*z**4/3 - 4*z**3 + 2*z**2 - 9*z. Let y(s) = 5*h(s) - 8*k(s). Factor y(r).
-4*(r - 1)**2
Let c be 3*(2 - 3)*-2. Suppose -2*i + c = -0. Solve -4 + 3*b + 2*b**2 - i*b + 2*b = 0.
-2, 1
Let a(q) be the first derivative of 169*q**3/3 + 26*q**2 + 4*q + 13. Determine h, given that a(h) = 0.
-2/13
Let k = 81 - 479/6. Let u = k - 2/3. Solve -1/2*t**3 + u*t + 0 + 0*t**2 = 0.
-1, 0, 1
Let q(g) = 20*g**3 - 12*g**2 - 8*g. Let r(a) = 7*a**3 - 4*a**2 - 3*a. Let d(h) = -5*q(h) + 14*r(h). Factor d(x).
-2*x*(x - 1)**2
Let h be 9/2*(-1 + -1). Let p be (-2)/8 - h/4. Factor 0*b**3 - 4*b**3 - 4 + p*b**3 + 6*b.
-2*(b - 1)**2*(b + 2)
Let k(z) be the first derivative of z**6/30 - z**4/4 + z**3/3 - 2*z + 1. Let y(t) be the first derivative of k(t). Let y(s) = 0. Calculate s.
-2, 0, 1
Let n = 182 - 182. Suppose 9*o = 4*o + 5*r + 5, -8 = -2*r. What is j in 4/3*j**o - 1/3*j**3 + 0*j + n - j**4 + 0*j**2 = 0?
-1/4, 0, 1
Let n = 125 + -125. Suppose n*w**2 + 0*w + 1/9*w**5 + 0 + 4/9*w**3 + 5/9*w**4 = 0. What is w?
-4, -1, 0
Factor 4/7 + 7*r**2 + 4*r.
(7*r + 2)**2/7
Let r = -281/2 - -146. Let l(w) be the first derivative of -r*w**2 + 11/4*w**4 - 2*w + 1 + 3*w**5 - 13/3*w**3. Determine b, given that l(b) = 0.
-1, -2/5, -1/3, 1
Let 8/7*h**3 - 12/7*h**2 - 32/7*h - 12/7 = 0. Calculate h.
-1, -1/2, 3
Suppose -2*u + 4*n = -6, -3*u - 9*n = -5*n - 9. Let t(y) be the first derivative of -16*y + 12*y**2 + 1/2*y**4 - 4*y**3 - u. Factor t(v).
2*(v - 2)**3
Let l(r) be the first derivative of -r**6/1800 + r**4/120 - 2*r**3/3 + 2. Let m(f) be the third derivative of l(f). Factor m(y).
-(y - 1)*(y + 1)/5
Let 