14). Let t(k) be the first derivative of -m - 3/4*k**2 + 1/4*k**4 + 5/6*k**3 + 0*k. Factor t(c).
c*(c + 3)*(2*c - 1)/2
Let s(c) be the first derivative of 3*c**4/4 - 196*c**3/9 - 251*c**2/6 - 46*c/3 - 510. Factor s(r).
(r - 23)*(r + 1)*(9*r + 2)/3
Let s(n) = 23*n**2 + 830*n - 781. Let l(f) = -33*f**2 - 1244*f + 1173. Let m(r) = -9*l(r) - 13*s(r). Solve m(z) = 0.
1, 202
Let u(o) be the third derivative of 19/16*o**4 + 6*o**2 - 1/10*o**5 + 0*o - 7/2*o**3 - 10 - 1/80*o**6. Factor u(x).
-3*(x - 2)*(x - 1)*(x + 7)/2
Let l(q) be the first derivative of -30 - 4/5*q**5 + 4*q**3 - 16*q**2 + 2*q**4 + 16*q. Factor l(y).
-4*(y - 2)*(y - 1)**2*(y + 2)
Let p = 144 - 149. Let q be 6 - (-4 + (-5 - p) - -8). Let -1 + s**3 - 1/2*s**5 - 1/2*s - s**4 + q*s**2 = 0. What is s?
-2, -1, 1
Suppose 4*b = -4*p + 2036, -b - 5*p - 1991 = -5*b. Let v be ((b/98)/(-6))/((-4)/7). Factor 0 + 6*z**2 - 9/2*z**3 - v*z.
-3*z*(z - 1)*(3*z - 1)/2
Let a(j) be the first derivative of -2*j**5/25 - 166*j**4/5 - 27556*j**3/5 - 2287148*j**2/5 - 94916642*j/5 - 452. Suppose a(y) = 0. Calculate y.
-83
Let t(p) be the first derivative of -6*p**5/55 + 206*p**4/11 - 9338*p**3/11 - 9522*p**2/11 + 1920. Factor t(k).
-2*k*(k - 69)**2*(3*k + 2)/11
Let l = 119 - 114. Let k(d) = -3*d**4 - d**3 - 2*d**2 + 6*d. Let o(j) = -2*j**4 - 2*j**3 - 2*j**2 + 6*j. Let w(b) = l*o(b) - 4*k(b). Let w(q) = 0. Calculate q.
-1, 0, 1, 3
Let h be 16/1 - (-2 - -1). Let g be (-5)/25 + ((-2635)/(-150))/h. Suppose 0*b - 5/6*b**3 + 0 + 0*b**2 - g*b**4 = 0. What is b?
-1, 0
Let u(f) be the second derivative of f - 23 + 1/21*f**3 - 4/7*f**2 + 1/84*f**4. Determine c so that u(c) = 0.
-4, 2
Let k(f) be the third derivative of f**5/20 - 26*f**4 - 1065*f**3/2 - 2*f**2 + 5686. Factor k(r).
3*(r - 213)*(r + 5)
Let n(f) be the third derivative of f**8/672 + f**7/105 - f**6/5 + 14*f**5/15 - 5*f**4/3 + 3229*f**2. Factor n(p).
p*(p - 2)**3*(p + 10)/2
Let n = -208 + 212. Let f be 2/n + -2 + 98/12. Factor -2/3*l**2 - 50/3 + f*l.
-2*(l - 5)**2/3
Factor 192*t - 3*t**2 - 248*t - 83 - 187 + 74*t + 123*t.
-3*(t - 45)*(t - 2)
Let t(q) be the first derivative of q**4/32 + 7*q**3/12 + 49*q**2/16 + 9*q/2 + 2395. Suppose t(a) = 0. What is a?
-9, -4, -1
Suppose -133 = -151*h + 320. Let a(i) be the third derivative of 0*i - 29*i**2 + 0*i**h + 0 - 1/480*i**6 - 1/16*i**4 + 1/48*i**5. Factor a(z).
-z*(z - 3)*(z - 2)/4
Suppose -123*g + 229*g - 785 = -573. Factor 14/3*p - 2/9*p**g - 2/9*p**3 + 10.
-2*(p - 5)*(p + 3)**2/9
Let i = 11 + 1. Suppose -40*a + 210 = 50. Find w, given that 3*w - 22*w + 3*w**3 + i*w + 4*w - 6 + 9*w**2 - 3*w**a = 0.
-1, 1, 2
Let f(z) be the second derivative of z**8/2240 + z**7/420 - z**6/480 - 22*z**3 + 2*z - 2. Let r(g) be the second derivative of f(g). Factor r(n).
n**2*(n + 3)*(3*n - 1)/4
Suppose -3 = 2*o - 1, -4*c = 3*o - 13. Suppose 7*g = 5*g + c. Solve -15*r**g + 17*r**2 - 9*r + 7*r = 0.
0, 1
Let f(c) be the third derivative of -c**5/30 - 29*c**4/4 - 86*c**3/3 - 2*c**2 + 289*c - 1. Suppose f(w) = 0. Calculate w.
-86, -1
Let k(w) be the second derivative of -w**6/30 + 7*w**5/4 - 79*w**4/6 + 122*w**3/3 - 60*w**2 - w + 424. Let k(v) = 0. What is v?
1, 2, 30
Let k(n) = -6*n**4 + 33*n**3 - 27*n**2 + 4*n + 1. Let c(q) = 4*q + 35 + q**2 - 35 - 27*q**2 + 34*q**3 - 6*q**4. Let j(f) = 5*c(f) - 6*k(f). Factor j(w).
2*(w - 3)*(w - 1)**2*(3*w + 1)
Let h = 145703/4 + -36422. Let j(i) be the first derivative of 29 + 90*i + 75/2*i**2 - 80/3*i**3 + h*i**4. Factor j(z).
5*(z - 3)**2*(3*z + 2)
Let f(b) be the first derivative of -1/2*b**3 + 1/10*b**5 + 1/2*b**4 - 5/2*b**2 - 4 + 4*b. Determine r so that f(r) = 0.
-4, -2, 1
Suppose 4*y**2 + 51810 + 51301 - 4588*y - 93951 = 0. Calculate y.
2, 1145
Let r = -54 - -16. Let g = r - -40. Determine h, given that 29*h**4 - 27*h**4 - 4*h**2 + 0*h**3 + 2*h**3 + 0*h**g = 0.
-2, 0, 1
Let i(q) be the third derivative of q**8/4032 - q**7/252 + q**6/36 + q**5/30 + 5*q**4/8 + 109*q**2. Let d(o) be the third derivative of i(o). Solve d(f) = 0.
2
Let z(t) = t**2 + 6*t - 5. Let j be z(-7). Determine v so that 3*v**2 + 10*v**3 - 10*v + 19 - 3*v**4 - 3*v**j - 16 = 0.
-1, 1/3, 1, 3
Let z(g) be the second derivative of g**3 - 3/4*g**4 + 0*g**2 - 40*g - 3/4*g**5 - 2. Solve z(l) = 0 for l.
-1, 0, 2/5
Let x(f) be the second derivative of 5*f**4/12 - 65*f**3/3 - 135*f**2/2 - 8*f - 32. Solve x(c) = 0.
-1, 27
Let p(i) be the third derivative of i**5/140 - 37*i**4/14 - 453*i**3/14 + 2*i**2 + 144*i. Find l, given that p(l) = 0.
-3, 151
Let p(h) = -16*h**2 - 82*h - 18. Let w = -297 + 299. Let v(n) = -31*n**2 - 167*n - 37. Let r(g) = w*v(g) - 5*p(g). Factor r(a).
2*(a + 4)*(9*a + 2)
Let i be (-376)/(-47) - 16/(-80)*65/(-2). Solve -3/4*k**2 + 9/4*k - i = 0.
1, 2
Let u(z) be the third derivative of -4*z**7/805 - 8*z**6/345 - 9*z**5/230 - 7*z**4/276 + 3*z**2 - 26*z. Find r such that u(r) = 0.
-7/6, -1, -1/2, 0
Let g(y) be the third derivative of -2/735*y**7 - 1/21*y**5 + 5/42*y**4 + 0 - 1/42*y**6 - 64*y**2 + 4/7*y**3 - y. Determine w, given that g(w) = 0.
-3, -2, -1, 1
Let b(h) be the second derivative of h**5/4 - 95*h**4/12 + 75*h**3 - 180*h**2 - 5*h + 191. Find c such that b(c) = 0.
1, 6, 12
Let w(p) be the first derivative of p**4/6 - 2*p**3 + 9*p**2 - 8*p - 14. Let m(v) be the first derivative of w(v). Solve m(r) = 0 for r.
3
Let s(j) be the first derivative of -1/90*j**5 + 8/3*j**3 + 0*j + 0*j**4 - 37 + 0*j**2 - 1/540*j**6. Let t(q) be the third derivative of s(q). Factor t(w).
-2*w*(w + 2)/3
Let f(g) be the second derivative of -1/36*g**6 - 2/9*g**3 - 1/36*g**4 + 0 - 9/2*g**2 + 4/45*g**5 + 19*g. Let o(z) be the first derivative of f(z). Factor o(l).
-2*(l - 1)**2*(5*l + 2)/3
Let a = 247 - -152. Let f = 399 - a. Factor 0*c + 0*c**2 + 2/11*c**4 + f + 6/11*c**3.
2*c**3*(c + 3)/11
Let l(a) = 2*a**2 + 9*a + 7. Let n(f) = 516 - 498 + 33*f + 5*f**2 - 8*f. Let i(c) = -8*l(c) + 3*n(c). Solve i(q) = 0.
1, 2
Let 448/9*j + 32*j**2 - 4/3*j**5 - 256/9*j**3 - 320/9 - 148/9*j**4 = 0. What is j?
-10, -2, 2/3, 1
Let h(w) be the second derivative of w**7/630 + w**6/180 - w**5 + w**4/12 + 57*w**2 - 2*w - 60. Let y(m) be the third derivative of h(m). What is c in y(c) = 0?
-6, 5
Let l(z) be the second derivative of -5*z + 2 - 1/10*z**3 + 0*z**2 - 1/20*z**4. Factor l(f).
-3*f*(f + 1)/5
Let d be ((-41)/(328/48))/(-3). Let s(a) be the third derivative of -1/15*a**6 + 0 - 9*a**d - 1/3*a**3 + 0*a + 1/3*a**4 + 1/30*a**5. Solve s(p) = 0 for p.
-1, 1/4, 1
Let h be ((-42)/(-14))/(0 - 1). Let v be 4/10*(2 - h). Suppose 121 - 551*q + 529*q + q**v + 0 = 0. Calculate q.
11
Factor 135/2 + 68*v + 1/2*v**2.
(v + 1)*(v + 135)/2
Let i(x) = -25*x**2 - 40*x - 45. Let f(z) be the first derivative of 1/3*z**3 + 1/2*z**2 - 7 + z. Let h(g) = -30*f(g) - i(g). Determine b so that h(b) = 0.
-1, 3
Let 2/5*o**2 - 1624/5 + 2/5*o = 0. What is o?
-29, 28
Let v(u) be the first derivative of u**4/10 + 206*u**3/15 + 1358. Suppose v(g) = 0. What is g?
-103, 0
Let q(d) be the third derivative of -d**7/735 + 17*d**6/420 - 38*d**5/105 + 5*d**4/7 + 113*d**2 - 22. Determine p, given that q(p) = 0.
0, 1, 6, 10
Let 4*c**3 + 190*c + 57*c**2 + 75*c**2 - 194*c - 35 - 97 = 0. Calculate c.
-33, -1, 1
Let m(f) be the third derivative of f**8/4032 - f**7/48 + 5*f**6/36 + 34*f**5/15 - f**2 + 14*f. Let n(d) be the third derivative of m(d). Factor n(y).
5*(y - 20)*(y - 1)
Suppose -17 - 183 = -20*v. Solve 22*u - v*u - 6*u + 5*u**2 - u = 0 for u.
-1, 0
Let s(h) be the second derivative of 1/3*h**4 - 72*h**2 - 160*h + 0 + 70/3*h**3. Factor s(w).
4*(w - 1)*(w + 36)
Let w(x) = 20*x - 2. Let q be w(1). Let b be (q/81)/(2/(-3))*-6. Factor 31*n**2 + 3*n - 32*n**b - n - n**3.
-n*(n - 1)*(n + 2)
Let v(p) be the third derivative of p**6/600 - 7*p**5/30 - 76*p**4/15 - 208*p**3/5 + 5149*p**2. Solve v(b) = 0 for b.
-4, 78
Suppose 17 - 13 = k. Let q be (-16)/(-10)*(-3 - (-184)/48). Suppose k - 8/3*w - q*w**2 = 0. What is w?
-3, 1
Let g = -55753/21 - -18617/7. Find y, given that 0 - 1/3*y + g*y**2 = 0.
0, 1/14
Suppose -83 = -4*k - 43. Let m be k/18*-3*-9. Find z such that -5*z**2 + m*z**3 - 26*z**3 + 20*z + 20 + 6*z**3 = 0.
-2, -1, 2
Let i = 1185/151 - 17473/2265. Suppose i*s**2 + 34/15 - 12/5*s = 0. What is s?
1, 17
Let h(c) be the second derivative of 20 + 108/5*c**5 - 2*c**2 + 3/10*c**4 - 2*c - 36/25*c**6 