at -9*t**3 + 3*t**2 - r - t**4 + 3*t**4 + 9*t + t**4 = 0.
-1, 1, 2
Let k = 0 + -15. Let t = 31 + k. Factor 30 - 21*i + 25*i**2 - 48*i - t*i.
5*(i - 3)*(5*i - 2)
Factor -288 + 0*m**3 - 60*m**3 + 4197450*m**4 - 4197454*m**4 - 464*m - 264*m**2.
-4*(m + 2)**3*(m + 9)
Let b(d) be the third derivative of d**8/1008 - d**7/90 - 31*d**6/360 + 7*d**5/180 + 5*d**4/12 - 186*d**2. Solve b(g) = 0.
-3, -1, 0, 1, 10
Factor -3*q + 8*q + 9*q**3 - 10*q**4 + 2*q**2 + 26*q**2 + 11*q - 43*q**3.
-2*q*(q - 1)*(q + 4)*(5*q + 2)
Suppose -2*i = -2*t - 18, -i - 3*t - 35 = -6*i. Suppose 5*o - 6 = i. Solve -f**2 + 3*f**2 - o - 4*f - 4*f**2 = 0 for f.
-1
Suppose 2 = -26*q + 28*q. Let b(u) = -u**3 - u**2 - u + 1. Let v(h) = 6*h**3 - 9*h**2 - 24*h - 3. Let w(g) = q*v(g) - 3*b(g). Let w(x) = 0. What is x?
-1, -1/3, 2
Let p(y) = y**2 - y + 1. Let k(s) = 110*s**2 + 70*s + 26. Suppose -h + 4 = -5*h. Let x(z) = h*k(z) + 10*p(z). Factor x(r).
-4*(5*r + 2)**2
Let m(f) = -f + 27. Let z be m(15). Factor -4 + 11*l - 16*l**3 + 11*l**4 - z*l**2 - 6*l**4 + 11*l**4 + 5*l.
4*(l - 1)*(l + 1)*(2*l - 1)**2
Factor 22/5*l + 2/5*l**3 - 24/5*l**2 + 0.
2*l*(l - 11)*(l - 1)/5
Let r(h) be the third derivative of 0*h**3 - 1/105*h**5 + 1/14*h**4 + 0*h + 0 + 21*h**2. Find v such that r(v) = 0.
0, 3
Factor 111*h**3 + 204*h**2 + 41*h + 37*h**3 + 59*h + 44*h + 40*h**4 + 4*h**5 + 36*h**2.
4*h*(h + 2)**2*(h + 3)**2
Let b = -78 - 2. Let u be 13/15 + 16/b. Find s, given that 2/9*s**2 + u*s**3 - 4/9 - 2/3*s + 2/9*s**4 = 0.
-2, -1, 1
Let n(t) = -6*t**2 + 160*t - 1168. Let z(g) = 4*g**2 - 107*g + 779. Let l(s) = 5*n(s) + 8*z(s). Let l(b) = 0. What is b?
14
Let z = 565/7 - 161/2. Let q(s) be the second derivative of 2*s - z*s**4 - 27/7*s**2 + 0 + 9/7*s**3 + 1/70*s**5. Let q(h) = 0. What is h?
3
Let f(o) be the third derivative of -7*o**6/72 - o**5/8 + 5*o**4/6 + 11*o**3/6 + 11*o**2. Let a(v) be the first derivative of f(v). Factor a(l).
-5*(l + 1)*(7*l - 4)
Let r(m) be the second derivative of 0 - 11/2*m**2 - 16/3*m**3 - 7/4*m**4 + 5*m. Let f(h) = -5*h**2 - 8*h - 3. Let v(j) = 26*f(j) - 6*r(j). Factor v(i).
-4*(i + 1)*(i + 3)
Let r be (-4)/10 + (-516)/210 - -3. Let d(t) be the first derivative of -3 + 3/7*t + r*t**3 - 3/7*t**2. Find q, given that d(q) = 0.
1
Let p(j) = -3*j**3 - 12*j**2 + 3*j + 12. Let o be p(-4). Solve 0 - 10/3*a**2 + 5/3*a**3 + 10/3*a**4 + o*a - 5/3*a**5 = 0.
-1, 0, 1, 2
Factor -30 - 36*x**2 + 25*x - 38*x**2 - 36*x**2 + 105*x**2.
-5*(x - 3)*(x - 2)
Let p(h) be the second derivative of h**7/378 - h**6/270 - h**5/12 - 23*h**4/108 - 5*h**3/27 - 119*h. Suppose p(j) = 0. What is j?
-2, -1, 0, 5
Let a(z) be the third derivative of 18*z**2 + 1/270*z**5 + 0*z**4 + 1/1512*z**8 + 1/315*z**7 + 0*z**3 + 1/180*z**6 + 0 + 0*z. Find c, given that a(c) = 0.
-1, 0
Solve 108*o + 1125 + 59*o - 17*o + 5*o**2 = 0.
-15
Let t(c) = c**3 + 4*c**2 + 5*c + 7. Let m be t(-3). Let k be (m/(-3))/(-5 - 40/(-9)). Suppose k + 9/5*z + 3/5*z**3 + 9/5*z**2 = 0. Calculate z.
-1
Let f(l) be the third derivative of l**7/1050 + l**6/75 + 19*l**5/300 + l**4/10 + 675*l**2. Suppose f(q) = 0. What is q?
-4, -3, -1, 0
Let w(h) = -16*h**3 + 9*h**2 + 238*h + 9. Let b(i) = 4*i**3 - 2*i**2 - 60*i - 2. Let j(m) = 9*b(m) + 2*w(m). Determine d so that j(d) = 0.
-4, 0, 4
Let f(w) be the second derivative of 14/3*w**3 + 0 - 12*w**2 - 15*w - 1/5*w**5 + 0*w**4. Factor f(i).
-4*(i - 2)*(i - 1)*(i + 3)
Determine y, given that 0 - 24/7*y**4 + 6/7*y**2 + 0*y + 9/7*y**3 + 9/7*y**5 = 0.
-1/3, 0, 1, 2
Let r = 142/33 + -98/33. Factor -r + 2/3*g + 2/3*g**2.
2*(g - 1)*(g + 2)/3
Let h(q) be the third derivative of q**7/168 - q**6/12 + 17*q**5/48 - 25*q**4/48 - 12*q**2 + 6. Find o such that h(o) = 0.
0, 1, 2, 5
Let m(k) be the first derivative of -40*k**4 + 148*k**3 - 136*k**2 + 48*k + 98. Factor m(q).
-4*(q - 2)*(5*q - 2)*(8*q - 3)
Suppose -7*f + 2*f = 4*o - 36, -5*o + 2*f = -12. Suppose 0*h - 8 = -o*h. Factor 0 - z - 9/2*z**h - 7/2*z**3.
-z*(z + 1)*(7*z + 2)/2
Let l = 2333 + -2333. Suppose 2/23*c**5 + l + 0*c + 0*c**3 - 2/23*c**4 + 0*c**2 = 0. What is c?
0, 1
Let s(b) be the first derivative of b**3/2 - 3*b**2 - 15*b/2 + 196. Solve s(m) = 0.
-1, 5
Let a be (((-528)/(-20))/11)/(42/20). Solve 2/7*k**2 - 6/7*k - a = 0.
-1, 4
Let q(p) = -1 + 12 - p - 10. Let z be q(1). Determine r, given that -4*r**2 + 4*r**3 + 24*r**2 - 12 - 4*r - 8*r**4 + z*r = 0.
-1, 1, 3/2
Let w(n) be the first derivative of 1/12*n**3 + 0*n + 6 - 1/8*n**2. Factor w(a).
a*(a - 1)/4
Let c(t) be the third derivative of -t**7/210 + 31*t**6/15 - 1922*t**5/5 + 119164*t**4/3 - 7388168*t**3/3 - 242*t**2. Factor c(y).
-(y - 62)**4
Suppose -3*l - 5*v + 110 + 2 = 0, 2*v + 140 = 3*l. Suppose -5*f - 72 = -2*s, -2*f = 2*s - 0*f - l. Find t such that -30*t + s*t - 4*t**2 + 20*t - 16 = 0.
2
Let w(p) be the second derivative of 0 + 4/45*p**6 + 1/9*p**3 + 1/63*p**7 - 22*p + 2/9*p**4 + 1/5*p**5 + 0*p**2. Factor w(d).
2*d*(d + 1)**4/3
Let i = 1577/8 + -197. Let s(c) be the second derivative of 0 - 1/80*c**5 + 1/8*c**2 + 1/16*c**4 - i*c**3 - 2*c. Factor s(y).
-(y - 1)**3/4
Let w(a) = -1. Let o(m) = -2*m + 5. Let j(f) = o(f) + 6*w(f). Let x be j(-3). Let 2*r**4 - r**5 - 2*r**x + 0*r**4 + r**4 = 0. Calculate r.
0, 1
Let c = 3209 + -3209. Factor -1/3*j**4 + c + j**2 - 2/3*j + 0*j**3.
-j*(j - 1)**2*(j + 2)/3
Let c(j) = -j**3 - 7*j**2 - 7. Let y be c(-7). Let m = -5 - y. Solve 25*p**m - 1 + 36*p + 3*p**2 + 6 + 3 = 0.
-1, -2/7
Let y(q) be the first derivative of -q**4/2 - q**3/3 + 3*q**2/2 + q - 3. Let u be y(-2). Factor u + 18*w**2 + 28*w + 2*w**2 + 5 + 4*w**3.
4*(w + 1)**2*(w + 3)
Let a(r) be the first derivative of 5*r**3/3 - 35*r**2/2 + 60*r + 162. Factor a(v).
5*(v - 4)*(v - 3)
Suppose 3*l - o = -528, 0 = -3*l + 3*o - 87 - 441. Let u be (32/l)/((-1)/11). Find n, given that 0*n - 2/3*n**u + 2/3 = 0.
-1, 1
Let b(i) be the first derivative of -i**5 - 15*i**4/4 - 5*i**3/3 + 15*i**2/2 + 10*i - 119. Factor b(m).
-5*(m - 1)*(m + 1)**2*(m + 2)
Let m(q) be the second derivative of q**6/1260 + q**5/140 - q**4/21 - 2*q**3/3 + 19*q. Let f(t) be the second derivative of m(t). Let f(u) = 0. Calculate u.
-4, 1
Suppose -1/2*q**3 + 5/2*q**2 - 3*q + 0 = 0. Calculate q.
0, 2, 3
Suppose -14*c = -9*c - 3*v - 8, 2*c = 3*v - 4. Let g(b) be the second derivative of 0*b**2 + 0*b**3 - 1/4*b**c + 0 - 6*b. Find s, given that g(s) = 0.
0
Let b = -7342/3 - -2448. Suppose b - 1/3*a**3 - 2/3*a**2 + 1/3*a = 0. Calculate a.
-2, -1, 1
Let d(b) be the second derivative of 5*b**4/12 + 100*b**3/3 + 195*b**2/2 - b - 145. What is y in d(y) = 0?
-39, -1
Factor 121/5 + 1/5*u**3 + 99/5*u - 21/5*u**2.
(u - 11)**2*(u + 1)/5
Let r be ((-6)/5)/(16 - (-326)/(-20)). Let b(n) be the third derivative of 5*n**2 - 4/3*n**3 + 0*n - 1/120*n**5 - 1/6*n**r + 0. Determine i so that b(i) = 0.
-4
Let r(a) be the first derivative of 4*a**5/5 - 4*a**4 + 20*a**3/3 - 4*a**2 + 2. Factor r(p).
4*p*(p - 2)*(p - 1)**2
Let x(a) be the third derivative of 11 - 1/72*a**6 - 4*a**2 - 1/9*a**3 + 5/72*a**4 + 0*a + 1/90*a**5. What is p in x(p) = 0?
-1, 2/5, 1
Let i = 193 - 191. Let f(v) be the third derivative of -1/105*v**7 + 0*v + 0*v**3 - 2/15*v**5 + 7*v**i + 0 + 0*v**4 + 1/15*v**6. Factor f(r).
-2*r**2*(r - 2)**2
Let c = -166966/17 - -9822. Suppose 0 + 6/17*f**3 + c*f**2 - 8/17*f = 0. Calculate f.
-2, 0, 2/3
Let c(z) be the first derivative of z**4/20 + 2*z**3/3 + 82. Factor c(l).
l**2*(l + 10)/5
Let u(j) be the third derivative of j**7/210 - j**6/60 - j**5/20 + 106*j**2. Find h, given that u(h) = 0.
-1, 0, 3
Let l be 8 + -3*215/135 + -3. Factor 4/9*t**2 - 4/9 - 2/9*t**3 + l*t.
-2*(t - 2)*(t - 1)*(t + 1)/9
Suppose -18 = -2*f - 3*l, 14 + 3 = 3*f + 2*l. Let t be -4*f/3 + 66/11. Determine q, given that 4/9*q**4 + 4/9 + 4/9*q**3 - 2/9*q**5 - 8/9*q**t - 2/9*q = 0.
-1, 1, 2
Solve 194/15*g**4 - 2/5*g**5 + 0 + 5324/15*g - 682/5*g**3 + 2178/5*g**2 = 0 for g.
-2/3, 0, 11
Let l(c) be the second derivative of -c**5/30 - 5*c**4/12 - 4*c**3/3 - c**2 - 16*c. Let b(s) be the first derivative of l(s). What is t in b(t) = 0?
-4, -1
Suppose 2*z - 3*z + 2*c + 608 = 0, 0 = -2*c - 8. Determine u, given that -278*u**2 - 3*u**4 + z*u + 8*u**2 + 48*u**3 - 379 + 4 = 0.
1, 5
Factor -332081*y**4 - 15*y**3 + 332076*y**4 + 0 + 0.
-5*y**3*(y + 3)
Let a(z) be the third derivative of z**6/300 + 18*z**5/25 + 324*z