 = 0.
-12, 10
Let z = 61637/90 + -3424/5. Let d(y) be the first derivative of 1/3*y + 5 - 1/4*y**2 + z*y**3. Factor d(c).
(c - 2)*(c - 1)/6
Let i(t) = 3*t**2 - 30*t - 47. Let y(o) = -4*o**3 - 6*o**2 + 5*o + 2. Let x be y(1). Let b(h) = 2*h**2 - 15*h - 23. Let a(s) = x*i(s) + 7*b(s). Factor a(r).
5*(r - 4)*(r + 1)
Let g be ((-3)/(-6))/((-4)/8) + 132/99. Let p(a) be the second derivative of 4*a**2 - 2/3*a**3 - 17*a + 0 - g*a**4. Determine d so that p(d) = 0.
-2, 1
Let t(l) be the second derivative of l**7/630 + l**6/180 + l**5/180 - 8*l**2 + 10*l. Let k(z) be the first derivative of t(z). Let k(d) = 0. Calculate d.
-1, 0
Let y(n) be the third derivative of 841*n**7/1155 + 464*n**6/165 + 119*n**5/110 + 3*n**4/22 - 4196*n**2. Factor y(r).
2*r*(r + 2)*(29*r + 3)**2/11
Suppose -x + 2*q + 7 = 5, 0 = 2*q. Solve -451*y - 3*y**x + 306*y + 13*y**2 + 5*y**5 - 80*y**4 + 140*y**3 + 70 = 0 for y.
-1, 1, 14
Let z(v) be the second derivative of v**5/20 - 29*v**4/3 + 520*v**3 + 7200*v**2 + 1009*v. Factor z(w).
(w - 60)**2*(w + 4)
Let s(d) be the second derivative of -3*d**7/70 - 2*d**6/5 - 59*d**5/50 - d**4 - 3*d**3/10 + 2838*d. Factor s(g).
-g*(g + 3)**2*(3*g + 1)**2/5
Let m(g) be the third derivative of g**5/30 + 11*g**4/24 + g**3/2 - 3*g**2 - 7. Let n(t) = 3*t**2 + 12*t + 4. Let h(i) = 4*m(i) - 3*n(i). Factor h(b).
-b*(b - 8)
Let w(n) be the second derivative of -n**6/165 + 23*n**5/110 - 5*n**4/22 - 525*n**3/11 - 3698*n. Factor w(r).
-2*r*(r - 15)**2*(r + 7)/11
Suppose -z + 126 = 6*z. Suppose z = -q + 2*x + 3*x, 2*x = q + 3. Solve -2 - 5*b + b + q*b - b**3 = 0 for b.
-2, 1
Let h(i) = -i**3 + 2*i**2 + i. Let w(b) = -9*b**3 + 163*b**2 - 291*b + 145. Let q(x) = 4*h(x) - w(x). Determine o, given that q(o) = 0.
1, 29
Let d(i) be the second derivative of i**7/84 - i**6/12 - 2*i**5/5 + 7*i**4/3 + 4*i**3 - 36*i**2 - i - 2882. Find n such that d(n) = 0.
-3, -2, 2, 6
Let z(g) = 2*g**2 - g + 1. Let y(q) = -3*q**2 + 592*q + 87023. Let m(b) = -3*y(b) - 6*z(b). Let m(o) = 0. What is o?
-295
Let k be (-24)/72*(3 + -12). Factor 3*x**3 - 2*x**k - 16*x + 6*x**2 + 6*x**2 + 3*x**3.
4*x*(x - 1)*(x + 4)
Let m(t) be the third derivative of 39*t + 11/60*t**4 + 1/150*t**5 + 0*t**3 + 0 + t**2. Let m(d) = 0. Calculate d.
-11, 0
Let z be 28/(((-28)/(-70))/(2/(-10))). Let b be (z/49)/((54/24)/(-9)). Factor 40/7*h - 50/21 + b*h**3 - 2/21*h**4 - 92/21*h**2.
-2*(h - 5)**2*(h - 1)**2/21
Let u(n) be the first derivative of -n**6/3 + 4*n**5 + 9*n**4/2 - 676*n**3/3 + 992*n**2 - 1344*n - 6773. Suppose u(i) = 0. Calculate i.
-6, 1, 4, 7
Let s(v) be the first derivative of -5/7*v**4 - 88/21*v**3 - 46/7*v**2 + 207 - 24/7*v. Suppose s(z) = 0. What is z?
-3, -1, -2/5
Let s(z) be the second derivative of -13/30*z**4 - 32/5*z**2 - 44/15*z**3 + 4*z - 1/50*z**5 - 8. Find g such that s(g) = 0.
-8, -4, -1
Let z(h) be the third derivative of -37*h**2 + 0*h**3 - 1/16*h**4 + 1/30*h**5 - 1/240*h**6 + 0 + 0*h. Factor z(u).
-u*(u - 3)*(u - 1)/2
Solve 1102*x**2 + 310 - 550*x**2 - 188*x - 550*x**2 + 58 = 0.
2, 92
Factor 104/11*f**2 - 2/11*f**3 + 0 - 294/11*f.
-2*f*(f - 49)*(f - 3)/11
Suppose -744*f + 17 = -740*f - 5*x, -4*x = -3*f - 13*x. Factor f - 3/8*y**3 + 3/2*y - 3/4*y**2.
-3*(y - 2)*(y + 2)**2/8
Let s be 1/(12 + (-69)/6). Let d be ((-2146)/16 - s)/((-12)/176). Suppose 594*a**2 + 3/2*a**4 + 2541*a + 51*a**3 + d = 0. Calculate a.
-11, -1
Let l be (25/30 + -3 - -2) + 116/174. Solve 1/2*x - 2*x**2 + 2 - l*x**3 = 0 for x.
-4, -1, 1
Let x(n) = -3*n**2 + 15*n + 6. Let z(p) = -p - 1. Let i(g) = x(g) - 18*z(g). Let w(r) = 2*r. Let v(j) = i(j) - 6*w(j). What is k in v(k) = 0?
-1, 8
Let k(q) be the third derivative of q**5/20 - 741*q**4/4 + 549081*q**3/2 - 26*q**2 + 6*q. Factor k(x).
3*(x - 741)**2
Let p(v) = 2*v**5 - 38*v**4 - 50*v**3 - 124*v**2 - 48*v + 6. Let w(l) = -l**5 + l**4 - 7*l**3 + 2*l**2 - 1. Let y(f) = p(f) + 6*w(f). Solve y(b) = 0 for b.
-3, -2, -1, 0
Let b = 192475/399 - 141/133. Determine p so that -152/3*p + 4/3*p**2 + b = 0.
19
Suppose -2*w**3 + 9/2*w + 0 - 23*w**4 - 5/2*w**5 + 23*w**2 = 0. What is w?
-9, -1, -1/5, 0, 1
Let -8/13*a**3 + 2/13*a**5 + 0 + 0*a + 58/13*a**4 - 232/13*a**2 = 0. Calculate a.
-29, -2, 0, 2
Suppose 6*w = 1110 + 660. Let v be -5*w/50*-84. Solve 12*a**2 + v*a**3 - 2475*a**3 + 3*a**2 = 0 for a.
-5, 0
Let t(k) be the second derivative of 1/15*k**4 - 4/3*k**3 - 115*k + 0 + 18/5*k**2. Factor t(s).
4*(s - 9)*(s - 1)/5
Let f(p) be the first derivative of -p**5/20 + 25*p**4/16 - 79*p**3/6 + 28*p**2 - 1941. Factor f(k).
-k*(k - 16)*(k - 7)*(k - 2)/4
Let u = -12547/2 - -62743/10. Factor -u*r + 0 + 2/5*r**3 + 2/5*r**2.
2*r*(r - 1)*(r + 2)/5
Suppose 0 = -4*v - 4 + 12. Let k be (-28217)/(-5004) - 133/28. Factor 2/9*b**3 + 8/9*b**v + 0 + k*b.
2*b*(b + 2)**2/9
Let y(r) be the third derivative of -r**6/90 + 2*r**5/5 - 10*r**4/3 - 50*r**3/3 + 193*r**2. Let l(j) be the first derivative of y(j). Factor l(n).
-4*(n - 10)*(n - 2)
Let f = 4988/3 + -1662. Let c(h) be the first derivative of 0*h - 2*h**4 + 0*h**2 + 0*h**3 + f*h**6 + 13 - 4/5*h**5. Determine g, given that c(g) = 0.
-1, 0, 2
Factor -112/5*u**2 + 216/5 - 4/5*u**3 - 20*u.
-4*(u - 1)*(u + 2)*(u + 27)/5
Factor -48*f - 4/5*f**3 - 224/5 - 72/5*f**2.
-4*(f + 2)**2*(f + 14)/5
Suppose 8928*m + 1369379 - 1802855 - 4548348 - 4*m**2 = 0. What is m?
1116
Let g(t) be the first derivative of -2*t**3/39 + 263*t**2/13 - 120*t + 6938. Suppose g(r) = 0. Calculate r.
3, 260
Let b(c) = c**3 - 3*c**2 - 8*c + 14. Let f be b(4). Let d be 9 + -9 + ((-6)/15)/f. Solve 2/5*v + d + 1/5*v**2 = 0.
-1
Let s(o) = o**3 + 55*o**2 - 482*o - 172. Let w be s(8). Solve 1/2*q**w + 1/3*q**3 + 0*q**2 + 1/6*q**5 + 0 + 0*q = 0 for q.
-2, -1, 0
Let x(p) be the third derivative of p**5/30 + 61*p**4/12 + 20*p**3 + 4*p**2 - 343*p. Factor x(s).
2*(s + 1)*(s + 60)
Find x, given that -1732*x - 117 + 64 + 549 - 14*x**2 = 0.
-124, 2/7
Let y(j) be the second derivative of j**9/18144 - j**8/2520 + j**7/1680 - j**3/6 - 41*j**2/2 - 30*j + 2. Let g(b) be the second derivative of y(b). Factor g(d).
d**3*(d - 3)*(d - 1)/6
Suppose 83*v - 326 = 32 + 57. Let s(i) be the third derivative of -1/6*i**v - 35/24*i**4 + 10/3*i**3 + 0 + 35*i**2 + 0*i. Find x, given that s(x) = 0.
-4, 1/2
Determine l so that -2/3*l**2 + 156 + 50*l = 0.
-3, 78
Let y(l) be the first derivative of 0*l**3 - 4*l**2 + 0*l + 1/210*l**5 - 1/84*l**4 + 7. Let a(t) be the second derivative of y(t). Let a(k) = 0. Calculate k.
0, 1
Let n(c) be the first derivative of 0*c**3 + 0*c**2 + 224 - 1/8*c**6 + 0*c**5 + 0*c + 3/4*c**4. Factor n(l).
-3*l**3*(l - 2)*(l + 2)/4
Let u(i) be the first derivative of 2*i**3/21 - 169*i**2/7 + 1320*i/7 + 2100. Factor u(x).
2*(x - 165)*(x - 4)/7
Let k = 681/8848 - 8/553. Let q(z) be the first derivative of 1/5*z**5 + 24 - 1/24*z**6 - 5/6*z**3 + 1/2*z**2 + 2*z - k*z**4. Solve q(m) = 0 for m.
-1, 2
Let z = -494 + 486. Let r be ((-560)/(-60) + z)*1*3. Suppose -2/3*x**r - 7/6*x**3 + 0 - 1/3*x**2 + 1/6*x = 0. Calculate x.
-1, 0, 1/4
Let u(v) = 5. Let t(o) = -o + 15. Let g(y) = t(y) - 3*u(y). Let b be ((-1)/(-2))/((-1)/(-2)). Let m(z) = z**2 + 3*z - 3. Let h(x) = b*m(x) + g(x). Factor h(i).
(i - 1)*(i + 3)
Let h(g) = g**2 - 26*g - 83. Let i be h(29). Let n be ((-63)/210)/(1/i*-3). Factor -24/5*u - n*u**2 - 72/5.
-2*(u + 6)**2/5
Let g(x) be the second derivative of 4*x**3/3 + x**2 - 114*x. Let s be g(0). Factor 1/4*n**s + n + 1.
(n + 2)**2/4
Suppose 3*w - 4*q = -28, 3*w + 14*q + 21 = 17*q. Let n = -1150/9 - -128. Factor n*l**3 - 2/9*l**2 + 0 + w*l.
2*l**2*(l - 1)/9
Let g(z) be the second derivative of z**7/21 - 23*z**6/30 + z**5/2 + 11*z**4/12 + 20*z - 6. Find x, given that g(x) = 0.
-1/2, 0, 1, 11
Let a = 162 + -105. Let f = -54 + a. Suppose 0*v**5 - v**5 - v - 7*v**3 + 12*v**3 - f*v**3 = 0. What is v?
-1, 0, 1
Let a(s) = -11*s**4 + 39*s**3 - 28*s**2 + 7. Suppose -34 = -v - 27. Let n(l) = -6*l**4 + 20*l**3 - 14*l**2 + 4. Let m(i) = v*n(i) - 4*a(i). Factor m(k).
2*k**2*(k - 7)*(k - 1)
Suppose 4*g + 141 = 117. Let d be (-45)/20*4/g. Factor d*o**2 - 1/8*o**5 + 0 - 13/8*o**3 + 3/4*o**4 - 1/2*o.
-o*(o - 2)**2*(o - 1)**2/8
Suppose 0 = 4*f + 11*f - 1890. Determine q, given that -f*q**3 + 64*q**3 + 15*q**2 - 3 - 17 + 67*q**3 = 0.
-2, 1
Let h(r) be the first derivative of -2208*r**2 + 4232*r - 90 - 1/2*r**4 + 62*r**