*q - 9*f**3 + 7/4*f**4. Factor i(v).
3*(v - 1)*(v + 4)*(3*v - 2)
Let d be (-1445)/170*3/(-1) + 2/1. Factor 0*c**2 + d*c**3 + 0 + 0*c - 5/2*c**4.
-5*c**3*(c - 11)/2
Let b(x) = -11*x**2 - 2578*x + 4948. Let z(o) = 30*o**2 + 7090*o - 13600. Let f(c) = -25*b(c) - 9*z(c). Factor f(g).
5*(g - 2)*(g + 130)
Let g(t) be the third derivative of t**5/100 + 69*t**4/20 - 139*t**3/10 + 3454*t**2. Factor g(s).
3*(s - 1)*(s + 139)/5
Let r(w) = -13*w**2 - 167*w + 165. Let m(y) = 88*y**2 + 1168*y - 1156. Let k(v) = -3*m(v) - 20*r(v). Factor k(a).
-4*(a - 1)*(a + 42)
Let j(u) be the second derivative of -1/60*u**4 + 8/5*u**2 + 0*u**3 + 0 + 106*u. Find x such that j(x) = 0.
-4, 4
Let g(c) be the third derivative of 14/75*c**6 + 167*c**2 - 4/5*c**3 + 0 - 37/50*c**5 + 19/15*c**4 - 3/175*c**7 + 0*c. What is l in g(l) = 0?
2/9, 1, 2, 3
Let n be 4/16*(-1 + -1 + 2). Suppose -7*g + 7 + 7 = n. Suppose -3*v**2 + v - 2*v**g - 11*v = 0. What is v?
-2, 0
Factor -4/7*h**2 - 52/7 - 8*h.
-4*(h + 1)*(h + 13)/7
Let r(x) be the third derivative of -x**5/12 + 5*x**4/24 + 25*x**3 + 1989*x**2. Factor r(l).
-5*(l - 6)*(l + 5)
Let a(g) be the first derivative of 2*g**3/33 - 2878*g**2/11 + 4141442*g/11 - 5661. Factor a(q).
2*(q - 1439)**2/11
Let u(c) = -2*c + 37. Let t be u(15). Let n be -4 + (-345)/(2 - t). Factor 20*y**4 + 20*y**2 + n*y**4 + 14*y**5 + 20*y**3 - 34*y**5 - 120*y**3.
-5*y**2*(y - 2)**2*(4*y - 1)
Let i(d) be the first derivative of -330 - 29645/3*d - 385/3*d**2 - 5/9*d**3. Determine z, given that i(z) = 0.
-77
Let z(g) be the second derivative of -1/20*g**5 - 3/2*g**2 + 0*g**3 - 43*g + 3/8*g**4 + 0. Let w(i) be the first derivative of z(i). Solve w(y) = 0 for y.
0, 3
Let k(p) be the third derivative of -2*p**2 - 4/51*p**3 - 1/34*p**5 + 80 + 0*p + 8/51*p**4. Let k(b) = 0. What is b?
2/15, 2
Let c(t) = -28*t**3 - t. Let s(h) = 285*h**3 - 200*h**2 + 375*h + 570. Let x(l) = 10*c(l) + s(l). Factor x(f).
5*(f - 38)*(f - 3)*(f + 1)
Let d(a) be the second derivative of 5/6*a**3 - 3*a**2 - 1/4*a**5 + 53 + 5/12*a**4 + 1/30*a**6 - 2*a. Let d(m) = 0. What is m?
-1, 1, 2, 3
Let b = -697681 - -697684. Let d = 11/6 + -4/3. Determine w, given that 13/6*w**2 - 2/3*w**b - d*w**4 + 0 - w = 0.
-3, 0, 2/3, 1
Let i(p) be the third derivative of -p**9/9072 + p**8/840 - p**7/315 - 26*p**3 - 18*p**2 + 1. Let n(u) be the first derivative of i(u). Solve n(a) = 0.
0, 2, 4
Let h(j) be the second derivative of 0*j**2 + 45 + 0*j**3 + 1/6*j**6 - 5/12*j**4 + 0*j**5 - j. Factor h(d).
5*d**2*(d - 1)*(d + 1)
Let o(t) be the third derivative of t**5/100 - 87*t**4/40 + 17*t**3 + t**2 + 513*t. Factor o(z).
3*(z - 85)*(z - 2)/5
Let k be ((-76)/(-228))/((7/238)/1). Solve -14/3*i**3 + 2/3*i**4 - 34/3*i + 4 + k*i**2 = 0.
1, 2, 3
Let g = -56/165 + 1382/1155. Let j(y) be the first derivative of 10 - 4/21*y**3 - 8/7*y - g*y**2. Factor j(n).
-4*(n + 1)*(n + 2)/7
Let w(h) = 3*h**2 + 104*h - 23. Let g be w(-34). Let o = g + 93. Factor -1/2*x - 3/2*x**o + 1.
-(x + 1)*(3*x - 2)/2
Suppose -9*o + 56 = -52. Determine h so that -100 + o*h**3 - 20*h**3 - 24*h**2 + 7*h**3 + 3*h**2 - 120*h = 0.
-10, -1
Find z such that -8/11*z + 8/11*z**3 - 4/11*z**2 + 6/11 - 2/11*z**4 = 0.
-1, 1, 3
Let z be (192/40)/(1*(-6)/435). Let i = -346 - z. Factor -14/5 + 12/5*b + 2/5*b**i.
2*(b - 1)*(b + 7)/5
Let k = 10538 + -20487/2. Let o = -294 + k. Factor 3/4*r - 1/4*r**2 - o.
-(r - 2)*(r - 1)/4
Let y(b) be the third derivative of 24*b**2 - 1/60*b**6 + 0*b + 0 - 10/3*b**3 + 1/3*b**5 + 1/12*b**4. Solve y(u) = 0 for u.
-1, 1, 10
Let q(u) be the second derivative of 1/40*u**5 + 2*u + 2 + 21/4*u**3 - 17/24*u**4 + 81/4*u**2. Factor q(y).
(y - 9)**2*(y + 1)/2
Let b = 121 + -119. Let -g + 3*g**2 - 5*g - b + 0*g + 5 = 0. Calculate g.
1
Let t(w) = -14*w**5 + 2*w**4 - 11*w. Let x(f) = -f**5 - f. Let c be ((-66)/8)/(57/(-152)). Let g(y) = c*x(y) - 2*t(y). Let g(s) = 0. Calculate s.
0, 2/3
Suppose -3*j = -6*j + 2*j. Suppose -3*k - k + o + 10 = 0, -4*o + 8 = j. Find u such that 0*u**k + 2/3*u**2 - 1/3*u + 0 + 1/3*u**5 - 2/3*u**4 = 0.
-1, 0, 1
Let k(c) = -436*c**4 - 767*c**3 + 261*c**2 + 22*c. Let v(g) = -873*g**4 - 1531*g**3 + 523*g**2 + 46*g. Let o(t) = -7*k(t) + 4*v(t). Solve o(h) = 0 for h.
-2, -1/11, 0, 3/8
Let l = 34 + -38. Let s(d) = d**2 + 2*d - 6. Let h be s(l). Suppose 2*b**2 + 18 + h*b - 31 + 9 = 0. Calculate b.
-2, 1
Let s(m) = -11*m**2 - 97*m + 1311. Let p(y) = 6*y**2 + 36*y - 655. Let c(a) = 9*p(a) + 5*s(a). Find u such that c(u) = 0.
-165, 4
Let g(n) be the first derivative of -n**3/5 + 84*n**2/5 - 324*n/5 + 7046. Let g(t) = 0. What is t?
2, 54
Suppose y + 3 = u, 0*u - 3*u = 4*y - 23. Let 24*c - c**y - 57*c - 2*c**2 = 0. Calculate c.
-11, 0
Let w(d) be the third derivative of d**5/150 - 137*d**4/60 + 134*d**3/5 - 4*d**2 + 246*d. Let w(m) = 0. What is m?
3, 134
Let y be -62*((-25)/(-10) - 3)*5. What is p in y + 2001 + 886 + 2*p**2 + 156*p = 0?
-39
Suppose -21 + 13 = -2*d. Factor -89*k**3 + 41*k**3 + 8*k - 76*k**2 + 40*k**3 + 76*k**d.
4*k*(k - 1)*(k + 1)*(19*k - 2)
Let i(c) be the third derivative of 0 + 0*c**3 + 2/45*c**6 - 1/504*c**8 - 1/63*c**7 + 0*c + 0*c**4 + 8/15*c**5 + 41*c**2. Factor i(j).
-2*j**2*(j - 3)*(j + 4)**2/3
Let b be (36/48 + -1)*(-2 + 14). Let l be (-13)/b + (5 + -5 - 3). Factor -l*i**3 + 8 + 0*i**2 + 28/3*i.
-4*(i - 3)*(i + 1)*(i + 2)/3
Let m(c) = 2*c**2 - 7*c - 10. Let a be m(6). Suppose -16*i + a = -12*i. Factor z**4 + 40*z**2 - 4 - i*z**4 - 32*z**2.
-4*(z - 1)**2*(z + 1)**2
Let l(s) be the second derivative of s**5/80 - s**4/8 + s**3/2 + s**2/2 - 9*s - 2. Let f(p) be the first derivative of l(p). Factor f(h).
3*(h - 2)**2/4
Let o(z) be the second derivative of 2*z**6/15 + z**5/5 - 13*z**4/3 - 2*z**3/3 + 24*z**2 + 2552*z. Determine b, given that o(b) = 0.
-4, -1, 1, 3
Let s(n) = -2*n**4 + 21*n**3 - n**2 + 3*n - 28. Let j(l) = -l**4 + 11*l**3 + 2*l - 16. Let d(c) = 11*j(c) - 6*s(c). Find u, given that d(u) = 0.
-1, 2
Let h = 162 - 160. Let k(o) be the first derivative of -9/11*o**h + 8/33*o**3 + 14 + 4/11*o. Suppose k(x) = 0. Calculate x.
1/4, 2
Let i(u) be the first derivative of u**4/6 + 8*u**3/9 - 31*u**2/3 - 140*u/3 - 1268. Factor i(c).
2*(c - 5)*(c + 2)*(c + 7)/3
Let h(l) be the second derivative of -83*l**4/16 + l**3/8 + 62*l. Factor h(m).
-3*m*(83*m - 1)/4
Suppose 8*y - 3*y = 0. Suppose y = -2*t - 0*t + 120. Solve k**3 + k**3 - 68 - 4*k**2 + 96*k - 20*k**2 - t = 0 for k.
4
Suppose 2*w**4 + 8*w**2 - 288*w + 63*w**3 - 422*w**2 + 198*w**2 - 5*w**4 - 6*w**2 = 0. Calculate w.
-1, 0, 6, 16
Let n = 6520 - 13037/2. Let o(g) be the first derivative of -n*g**2 - 3/2*g**4 - 3*g**3 + 0*g - 21. Factor o(l).
-3*l*(l + 1)*(2*l + 1)
Suppose -75*a + 70*a = r + 13, -5*r + 3*a + 19 = 0. Suppose -3/7*m**3 + 3 + 39/7*m + 15/7*m**r = 0. What is m?
-1, 7
Let i(a) be the third derivative of 7942/15*a**5 - 6859/6*a**4 - 1/84*a**8 + 8*a**2 + 0*a - 22 - 38*a**6 + 116/105*a**7 + 0*a**3. Suppose i(w) = 0. What is w?
0, 1, 19
Factor -2/7*c**3 + 176/7 + 82/7*c**2 + 260/7*c.
-2*(c - 44)*(c + 1)*(c + 2)/7
Let f(q) be the first derivative of q**5/15 - 10*q**4 + 600*q**3 - q**2 + 6*q + 132. Let n(v) be the second derivative of f(v). Suppose n(c) = 0. Calculate c.
30
Factor 85*a**3 + 168*a**2 + 137*a**3 - 9*a**4 + 13*a**4 - 50*a**3.
4*a**2*(a + 1)*(a + 42)
Let l(h) be the third derivative of -13/40*h**6 + 2/35*h**7 + 0 + 2*h + 13/8*h**4 + 184*h**2 - 3/2*h**3 - 1/20*h**5. Suppose l(i) = 0. Calculate i.
-1, 1/4, 1, 3
Let l(s) be the first derivative of 0*s**2 - 1/180*s**6 - 1/30*s**5 + 15 + 1/4*s**4 + 0*s - 5*s**3. Let v(g) be the third derivative of l(g). Factor v(k).
-2*(k - 1)*(k + 3)
Factor 765/4*d - 7425/4 - 3/4*d**2 - 1/4*d**3.
-(d - 15)**2*(d + 33)/4
Let p(r) be the first derivative of r**4/10 + 12*r**3/5 + 33*r**2/5 + 32*r/5 + 12048. Determine a, given that p(a) = 0.
-16, -1
Let s = 114 - 208. Let z = -74 - s. Determine l so that z*l**2 - 20*l**4 - 2*l - 15*l**3 + 99*l**5 + 22*l - 104*l**5 = 0.
-2, -1, 0, 1
Let h(c) = -72*c + 2308. Let j be h(32). Let m(y) be the first derivative of 0*y**2 - 2/27*y**3 + j + 0*y - 1/18*y**4. Find k, given that m(k) = 0.
-1, 0
Suppose -10*t - 12 = 48. Let h(u) = -u**2 - 5*u + 23. Let f(v) = v + 1. Let m(q) = t*f(q) + 2*h(q). Factor m(r).
-2*(r - 2)*(r + 10)
Let q(k) be the second derivative of k**5/20 + k**4/8 - k**