 Let b(h) = d(h) + 3*t(h). Let b(p) = 0. Calculate p.
-1, 0, 1
Let w(h) be the first derivative of -h**7/735 + h**5/70 - h**4/42 - 5*h**2/2 - 2. Let j(u) be the second derivative of w(u). Factor j(m).
-2*m*(m - 1)**2*(m + 2)/7
Let l(c) be the third derivative of c**7/840 - c**6/80 + c**5/30 + c**4/16 - 3*c**3/8 + 63*c**2. Factor l(u).
(u - 3)**2*(u - 1)*(u + 1)/4
Solve -2/7*d**4 + 4/7*d**2 + 2/7*d**3 + 0 + 0*d = 0 for d.
-1, 0, 2
Let b(q) be the second derivative of -q + 3/2*q**3 + 3*q**2 + 0*q**4 + 0 - 3/20*q**5. Let b(k) = 0. What is k?
-1, 2
Let y(h) be the third derivative of -9*h**2 + 19/28*h**4 + 0*h - 16/105*h**5 + 1/84*h**6 + 0 - 6/7*h**3. Factor y(r).
2*(r - 3)**2*(5*r - 2)/7
Factor 3510*f**3 + 19623*f**4 - 3420*f**2 + 444*f - 125 + 686*f - 19758*f**4.
-5*(f - 25)*(3*f - 1)**3
Let f(n) be the first derivative of -6*n**5/25 + 87*n**4/20 - 39*n**3/5 - 3*n**2/10 + 39*n/5 - 8. Determine t, given that f(t) = 0.
-1/2, 1, 13
Let j(p) be the first derivative of 0*p**4 + 0*p**3 + 0*p**2 - 2/15*p**5 + 0*p + 3. Determine h so that j(h) = 0.
0
Determine c so that -1/2*c**4 - 12 - 2*c + 5*c**2 + 1/2*c**3 = 0.
-2, 2, 3
Let u be 774/(-430) - (-2 + (1 - 1)). Let s(a) be the first derivative of 1/5*a**2 - u*a**5 - 5 - 1/10*a**4 + 0*a + 1/3*a**3. Let s(m) = 0. What is m?
-1, -2/5, 0, 1
Let p(g) be the second derivative of -9*g - 1/8*g**2 + 1/96*g**4 + 0 - 1/48*g**3. Factor p(v).
(v - 2)*(v + 1)/8
Let o(z) = -2*z + 9. Let y(b) = 1. Let q(k) = o(k) - 4*y(k). Let n be q(0). Factor -4 - 3*h**3 - 7*h**2 - 33*h - 8*h**2 + 12*h - n.
-3*(h + 1)**2*(h + 3)
Let t(i) be the first derivative of -13 + 1/20*i**4 + 0*i - 1/10*i**2 + 0*i**3. Factor t(l).
l*(l - 1)*(l + 1)/5
Let d = -1822781/100 - -18228. Let z(u) be the second derivative of -4*u + 0 + d*u**5 - 2/75*u**6 + 4/15*u**3 - 9/20*u**4 + 2/5*u**2. Let z(w) = 0. Calculate w.
-1/4, 1, 2
Let i(s) be the first derivative of -4/3*s**3 - 900*s - 39 + 60*s**2. What is q in i(q) = 0?
15
Let s = -455 + 1381/3. Let i(h) be the third derivative of -2/5*h**5 + 1/30*h**6 + 2*h**4 + 0 - s*h**3 + h**2 + 0*h. Factor i(g).
4*(g - 2)**3
Suppose 1092*t - 4*o - 18 = 1094*t, 3*t - 3*o = 27. Factor -1/6*a**5 + 0*a + 0 + 1/2*a**4 + 0*a**2 - 1/3*a**t.
-a**3*(a - 2)*(a - 1)/6
Factor -136*o**3 + 4*o**5 + 40 - 261*o + 24*o**4 + 105*o + 201*o**2 + 23*o**2.
4*(o - 1)**4*(o + 10)
Let r(j) be the first derivative of j**3/15 + 144*j**2/5 + 20736*j/5 - 86. Suppose r(h) = 0. What is h?
-144
Let j(h) be the first derivative of h**5/60 - h**4/6 + h**3/2 - 14*h**2 + 23. Let m(c) be the second derivative of j(c). Let m(d) = 0. Calculate d.
1, 3
Let u = 229769/109 - 2108. Let v = u - -233/545. Suppose 0 - f**2 + v*f = 0. Calculate f.
0, 2/5
Factor 4/3 - 2/9*h**3 + 8/9*h**2 + 22/9*h.
-2*(h - 6)*(h + 1)**2/9
Let x(q) be the second derivative of -q**7/280 - q**6/180 + 13*q**3/6 + 12*q. Let m(p) be the second derivative of x(p). Solve m(n) = 0 for n.
-2/3, 0
Solve 208*c + 4*c**2 + 181*c - 34 - 95 + 126*c = 0 for c.
-129, 1/4
Let w(f) be the third derivative of -f**8/336 + f**7/56 - f**5/6 - 13*f**3/6 - 16*f**2. Let g(z) be the first derivative of w(z). Factor g(c).
-5*c*(c - 2)**2*(c + 1)
Let d(g) be the first derivative of 33*g**3 + 0*g + 21/4*g**4 - 16 - 15*g**2. Factor d(k).
3*k*(k + 5)*(7*k - 2)
Let w(y) = -2*y**2 - 3*y + 9. Let m be w(0). Suppose 4*n - n = q + m, -2*n - q = -1. Factor 0 + 2/5*i**n + 4/5*i.
2*i*(i + 2)/5
Determine y, given that 4*y - 18*y**3 - 3*y + 48*y**2 - 2*y - 3*y**4 + y = 0.
-8, 0, 2
Suppose -14*s + 14*s**3 - 195/2*s**2 - 1/2*s**4 + 98 = 0. What is s?
-1, 1, 14
Let i be -1 - (72/15)/(-4). Let c(q) = -q**3 - 3*q**2 + 138*q + 282. Let u be c(-2). Factor -2/5*s**3 + i*s**4 - 1/5*s**u + 2/5*s + 0.
s*(s - 2)*(s - 1)*(s + 1)/5
Let x(l) be the second derivative of -l**9/120960 + l**7/6720 - l**6/2880 - l**4/4 + 7*l. Let z(b) be the third derivative of x(b). Factor z(w).
-w*(w - 1)**2*(w + 2)/8
Find q such that -841/6 + 29*q - 3/2*q**2 = 0.
29/3
Suppose 1 = -10*k + 9*k. Let d be 1/(10/(-86)*k). Factor 4/5*g + 4*g**3 + d*g**2 - 4/5.
(g + 2)*(4*g - 1)*(5*g + 2)/5
Factor 248*u**2 + 251*u**2 + 256*u**2 - 162 - 758*u**2 - 45*u.
-3*(u + 6)*(u + 9)
Let h(a) be the third derivative of 1/4*a**4 - 1/20*a**6 + 4*a**2 + 1/20*a**5 + 0*a + 0 - 1/2*a**3. Suppose h(z) = 0. What is z?
-1, 1/2, 1
Solve -32 - 3*t - 298*t**3 + 5*t**2 + 7*t**2 + 302*t**3 - 21*t = 0.
-4, -1, 2
Factor 8/3*w**2 + 60 + 2/3*w**3 - 34*w.
2*(w - 3)**2*(w + 10)/3
Let z(k) be the third derivative of 2*k**7/35 + 29*k**6/30 + 26*k**5/5 + 20*k**4/3 + 67*k**2. Factor z(d).
4*d*(d + 4)*(d + 5)*(3*d + 2)
Let g(j) = -j**2 - 12*j + 19. Let b be g(-13). Let -57*h**2 - 3 + 60*h**2 - h - 5*h + b = 0. Calculate h.
1
Let d(k) be the second derivative of 4*k**4 - 14*k + 0*k**2 + 0 + 21/20*k**5 + 2*k**3. Solve d(o) = 0.
-2, -2/7, 0
Let f(h) be the third derivative of 0 - 2/7*h**3 + 1/210*h**5 + 0*h - 5/84*h**4 + 24*h**2. Determine z, given that f(z) = 0.
-1, 6
Let c(q) be the first derivative of -q**6/165 + q**4/22 - 2*q**3/33 + 4*q + 9. Let t(x) be the first derivative of c(x). Factor t(d).
-2*d*(d - 1)**2*(d + 2)/11
Let m(q) be the first derivative of -1/9*q**2 + 1/9*q**3 + 0*q + 1/18*q**4 - 24 - 1/15*q**5. Factor m(t).
-t*(t - 1)*(t + 1)*(3*t - 2)/9
Factor 782*q - 15*q**3 + 16093*q + 18*q**3 + 450*q**2.
3*q*(q + 75)**2
Let k be -3 - 226/(-3)*9/180. Let f = k - 1/10. Find c, given that -1/3 - 1/3*c**2 + f*c = 0.
1
Let n(z) = -6*z**2 - 2*z - 1. Let t be n(-1). Let m(g) = 228*g**2 - 364*g + 104. Let j(y) = 35*y**2 - 56*y + 16. Let r(d) = t*m(d) + 32*j(d). Factor r(q).
-4*(q - 1)*(5*q - 2)
Let t(o) = o**2 + 14*o + 28. Let f be t(-12). Let j(z) = z**2 - 5*z + 4. Let m be j(f). Factor 1/2*s**5 + 0*s**2 + m*s**3 - s**4 + 0 + 0*s.
s**4*(s - 2)/2
Let p(t) be the third derivative of t**6/1320 + 7*t**5/660 - 7*t**4/66 + 10*t**3/33 + 706*t**2. What is h in p(h) = 0?
-10, 1, 2
Find t such that 14*t - 5*t**2 + 7181 + 7*t**2 - 7181 = 0.
-7, 0
Let u(z) be the first derivative of -z**5 - 35*z**4/2 + 155*z**3/3 - 40*z**2 + 154. Factor u(q).
-5*q*(q - 1)**2*(q + 16)
Let s(t) be the second derivative of -t**3/6 - t**2 - t. Let a be s(-2). Factor i**4 + a*i**4 - 4*i**4.
-3*i**4
Let z(h) be the third derivative of 0*h**3 + 0 + 24*h**2 - 1/5*h**5 + 2/105*h**7 - 1/3*h**4 + 0*h**6 + 0*h. Factor z(o).
4*o*(o - 2)*(o + 1)**2
Let t(g) be the third derivative of g**7/315 + g**6/36 - 2*g**5/45 - 5*g**4/9 - 2*g**2 + 56. Suppose t(i) = 0. What is i?
-5, -2, 0, 2
Let l(t) = -3*t**2 + 444*t + 48402. Let g(o) = 17*o**2 - 2222*o - 242011. Let j(a) = 2*g(a) + 11*l(a). Suppose j(f) = 0. What is f?
-220
Suppose k - u = 10, 3*u = -3*k + 30 - 0. Suppose 0 = r - d - 5, -k = 2*r + 2*d - 0*d. What is i in 0*i + r - 2/5*i**2 - 4/5*i**3 - 2/5*i**4 = 0?
-1, 0
Let h(r) = 16*r**3 - 80*r**2 + 48*r + 16. Let t(l) = l**3 + l**2 - l - 1. Let u(s) = -h(s) - 20*t(s). Factor u(q).
-4*(q - 1)*(3*q - 1)**2
Let k(m) be the first derivative of -4*m**3/27 + 14*m**2/9 + 40*m/3 - 106. Solve k(c) = 0.
-3, 10
Let j(i) be the second derivative of 0 - 2/9*i**3 + 1/6*i**4 + 1/6*i**2 - 1/15*i**5 + 5*i + 1/90*i**6. Determine n so that j(n) = 0.
1
Factor -495*a - 413 + 1139 + 63*a**3 - 291*a**2 + 3*a**4 - 6*a**4.
-3*(a - 11)**2*(a - 1)*(a + 2)
Let k = 1095 - 1090. Let n(p) be the third derivative of 0*p**4 + 1/420*p**k - 1/42*p**3 + 0*p - 12*p**2 + 0. Find h, given that n(h) = 0.
-1, 1
Let h(q) be the third derivative of -q**6/18 - q**5/5 - q**4/6 + 23*q**3/6 - 4*q**2. Let r(v) be the first derivative of h(v). Factor r(i).
-4*(i + 1)*(5*i + 1)
Determine s so that -500*s - 64*s**3 - 1432*s + 21*s**3 - 32*s**3 - 846*s**2 - 1176 - 18*s**3 - 3*s**4 = 0.
-14, -2, -1
Let b(c) be the third derivative of 1/18*c**3 - 1/36*c**4 - 19*c**2 - 1/180*c**6 + 0*c + 1/252*c**8 + 1/90*c**7 + 0 - 2/45*c**5. Suppose b(a) = 0. What is a?
-1, 1/4, 1
Let q(x) = -x**2 + 11*x - 18. Let k be q(11). Let r be 1*((-1)/k)/(2/8). Factor 0*l**3 + 0 + r*l**2 - 2/9*l**4 + 0*l.
-2*l**2*(l - 1)*(l + 1)/9
Let s(j) be the first derivative of 2*j**6/3 + 16*j**5/5 - 5*j**4 + 84. Determine o so that s(o) = 0.
-5, 0, 1
Let x = -14 + 15. Suppose -x = -k + 3. Solve -5 - 4*r**k + 3 + 0*r - 18*r**2 - 10*r - 14*r**3 = 0.
-1, -1/2
Let t(f) be the third derivative of -7*f**6/160 - f**5/40 + 7*f**4/8 + f**