2 + 0 - 3*b**3 + 3*b.
3*b*(b - 2)*(b - 1)*(b + 1)/2
Factor -4/7*c**2 - 32/7 - 36/7*c.
-4*(c + 1)*(c + 8)/7
Let c(f) be the first derivative of -f**6/1020 + f**5/170 - f**4/68 + f**3/51 - 41*f**2/2 - 27. Let a(i) be the second derivative of c(i). Factor a(h).
-2*(h - 1)**3/17
Let o = -40 + 19. Let z be (o/(-12))/7*2. Suppose p + z*p**2 + 1/2 = 0. What is p?
-1
Let t(u) be the third derivative of u**5/20 - 5*u**4/2 + 32*u**3 - 14*u**2 - 42*u. Let t(a) = 0. What is a?
4, 16
Let g be (-294)/(-126)*((-1)/1 - -4). Let i(k) be the first derivative of g - 1/2*k**3 - 6*k - 15/4*k**2. Solve i(r) = 0.
-4, -1
Let t(y) = 3*y**5 + 12*y**4 + 32*y**3 + 5*y**2 + 5. Let v(q) = 2*q**5 + 6*q**4 + 16*q**3 + 3*q**2 + 3. Let n(o) = -3*t(o) + 5*v(o). Solve n(w) = 0.
-2, 0, 8
Let j(r) = -3*r**3 - r**2 + r. Let f = -12 - -10. Let u be j(f). Find w such that -3*w**4 + 1 + 12*w**3 - u*w**2 + 2 + 12*w - 6 = 0.
1
Let i(a) be the third derivative of 2*a - 4*a**2 + 5*a**3 - 4/3*a**4 + 1/30*a**5 + 0. Find c such that i(c) = 0.
1, 15
Let o(a) be the second derivative of a**5/5 + 5*a**4/3 - 64*a**3/3 + 72*a**2 - 193*a. Suppose o(n) = 0. What is n?
-9, 2
Let 11*j + 3 + 2*j**2 + j - 21 + 4 = 0. Calculate j.
-7, 1
Let f = -126 - -79. Let q = -233/5 - f. Factor 0*w**3 + 0*w - q*w**2 + 0 + 2/5*w**4.
2*w**2*(w - 1)*(w + 1)/5
Let d(n) be the second derivative of 1/7*n**7 - 19*n + 1/2*n**5 + 0*n**3 + 0 + 1/6*n**4 + 7/15*n**6 + 0*n**2. Factor d(p).
2*p**2*(p + 1)**2*(3*p + 1)
Let f be ((-20)/(-220))/(1/72). What is y in -24/11*y**4 + 0*y - f*y**3 + 0 + 0*y**2 - 2/11*y**5 = 0?
-6, 0
Let y(r) be the first derivative of 1750*r**6/3 + 10140*r**5 + 17620*r**4 + 38144*r**3/3 + 4608*r**2 + 832*r - 664. What is h in y(h) = 0?
-13, -2/5, -2/7
Let x(h) = -h**3 - h**2. Let o(c) = -12*c - 73. Let t be o(-6). Let z be x(t). Factor 1/3 - 1/3*i**2 + z*i.
-(i - 1)*(i + 1)/3
Let t(p) be the second derivative of 25/42*p**7 + 57/4*p**5 - 16/3*p**6 - 15/2*p**4 + 0*p**3 + 0*p**2 + 0 + 27*p. Factor t(f).
5*f**2*(f - 3)**2*(5*f - 2)
Let m(d) = d**4 - d**2 - 2*d. Let u(b) = -9*b**4 + 20*b**3 - 16*b**2 + 8*b + 1. Let k(j) = -6*m(j) - 3*u(j). Determine q, given that k(q) = 0.
-1/7, 1
Suppose 5*w - 10 = -0. Let q = -12352 - -12352. Factor -3/4*z**3 - 3/2*z**w + q + 9/4*z.
-3*z*(z - 1)*(z + 3)/4
Let s(p) = -5*p**5 + 10*p**4 + 37*p**3 - 94*p**2 + 58*p. Let t(l) = 5*l**5 - 10*l**4 - 38*l**3 + 91*l**2 - 57*l. Let o(u) = -3*s(u) - 2*t(u). Factor o(j).
5*j*(j - 2)**2*(j - 1)*(j + 3)
Determine w, given that -2*w**4 - 696*w + 2*w**5 + 0*w**5 + 26*w**2 + 0*w**5 - 5 - 19 + 712*w - 18*w**3 = 0.
-3, -1, 1, 2
Let j(v) = -5*v**3 + 56*v**2 - 35*v - 60. Let x(g) = 5*g**3 - 55*g**2 + 35*g + 65. Let u(r) = -5*j(r) - 6*x(r). Factor u(l).
-5*(l - 9)*(l - 2)*(l + 1)
Let j(d) be the second derivative of -20*d + 0 - 4/27*d**3 + 1/54*d**4 + 4/9*d**2. Factor j(p).
2*(p - 2)**2/9
Factor 0 - 2/7*c**4 - 32/7*c**2 - 2*c**3 - 24/7*c.
-2*c*(c + 2)**2*(c + 3)/7
Factor -4/3*b**2 - 2/15*b**3 - 64/15 - 64/15*b.
-2*(b + 2)*(b + 4)**2/15
Let z(f) be the first derivative of -2*f**3/51 - 4*f**2/17 - 6*f/17 + 84. Suppose z(n) = 0. What is n?
-3, -1
Let g be 17/3 - (-3 + 6). Let k be 6/6*(-44)/(-55)*(-5)/(-2). Factor 24*i - 54*i**k - g.
-2*(9*i - 2)**2/3
Let r(l) = -l**4 + 12*l**3 - 11*l**2 - 7. Let d(c) = c**3 - c**2 - 1. Let x(o) = 28*d(o) - 4*r(o). What is v in x(v) = 0?
0, 1, 4
Let r(h) be the third derivative of h**6/360 + h**5/40 + h**4/12 + 3*h**3/2 - 22*h**2. Let m(s) be the first derivative of r(s). Suppose m(q) = 0. Calculate q.
-2, -1
Let d = -23 + 26. Suppose 26*k - 38*k - d - 11*k**2 + 47*k**2 = 0. What is k?
-1/6, 1/2
Let o be 214/(-18) - (-48)/(11 - 7). Find b such that -1/9 + 0*b + o*b**2 = 0.
-1, 1
Suppose -9/8*o**5 + 0 - 15/4*o**3 + 0*o + o**2 + 31/8*o**4 = 0. What is o?
0, 4/9, 1, 2
Let g = -15146 + 15148. Factor 2*t - 12/7 - 2/7*t**g.
-2*(t - 6)*(t - 1)/7
Let l(u) be the second derivative of 4/5*u**3 - 1/20*u**4 + 6*u + 0 - 24/5*u**2. Let l(x) = 0. Calculate x.
4
Determine w so that -w**4 + 25*w**2 + 30*w**2 - 32 - 19*w**2 - 64*w + 8*w + 44*w**3 + 9*w**4 = 0.
-4, -2, -1/2, 1
Let y(z) = -z**3 - 41*z**2 + 60*z - 28. Let m(a) = a**3 + 61*a**2 - 90*a + 42. Let j(n) = -5*m(n) - 7*y(n). Let j(r) = 0. Calculate r.
1, 7
Let s(w) be the first derivative of -5*w**3/3 + 5*w**2 + 5. Let z(i) = -i**2 + i. Let n(j) = s(j) - 6*z(j). Find b, given that n(b) = 0.
-4, 0
Let j(k) be the third derivative of k**11/554400 - k**10/126000 + 7*k**5/30 + 19*k**2. Let q(t) be the third derivative of j(t). Find o such that q(o) = 0.
0, 2
Let b(z) be the third derivative of z**8/896 - 3*z**6/320 - z**5/80 - 36*z**2 - 1. What is v in b(v) = 0?
-1, 0, 2
Let y(c) = c**2 - 9*c + 23. Let v be y(10). Let d = v + -33. Find z such that -z**3 + d - 5/3*z**2 - 2/3*z = 0.
-1, -2/3, 0
Let b be ((-8)/(-3))/(3/18). Let w = -13 + b. Factor -8*a**2 + w*a - 2*a - 5*a - 4*a**3.
-4*a*(a + 1)**2
Suppose 4*n - 4*m - 4 = -8*m, n - 5*m + 5 = 0. Let k be 1/(-3*20/(-12)). Factor n + k*d + 0*d**2 - 1/5*d**3.
-d*(d - 1)*(d + 1)/5
Factor 3/7*q**5 + 12/7*q**3 - 12/7*q**4 + 6/7*q**2 + 6/7 - 15/7*q.
3*(q - 2)*(q - 1)**3*(q + 1)/7
Let k = 16 - 24. Let q be (k/(-5))/((-4)/(-10)). Solve -2*d - 4*d + 4 - 3*d**2 - q = 0.
-2, 0
Let s(y) = -3*y + 69. Let k be s(20). What is m in m**4 - 2*m**4 + 9*m**2 + 20*m - 194 + 198 - k*m + m**3 = 0?
-1, 4
Suppose 0 = b - 3*w - 15, 4*b - 5*b - w - 5 = 0. Find u, given that u**3 + 0*u**4 - 1/2*u**5 - 1/2*u + 0*u**2 + b = 0.
-1, 0, 1
Let h = 5/62 + 117/1240. Let x(f) be the second derivative of 1/18*f**3 + 0*f**2 - 11/72*f**4 - 17/180*f**6 + h*f**5 + f + 5/252*f**7 + 0. Factor x(d).
d*(d - 1)**3*(5*d - 2)/6
Let r(y) = 11*y - 6. Let g be r(8). Suppose -g - 20 = -3*l. Solve -4*k - l*k**2 + 2 + 0*k + 36*k**2 = 0 for k.
1
Factor 6/5*n - 3/5*n**2 + 72/5.
-3*(n - 6)*(n + 4)/5
Let k = -2/31 - -92/465. Let c = k + 41/30. Let 0 + 0*f - c*f**2 = 0. What is f?
0
Suppose -98596 - 4*a**2 - 261*a + 1029*a + 264*a + 224*a = 0. What is a?
157
Let v(f) = 5*f**4 + 23*f**3 - 99*f**2 + 269*f - 244. Let o(g) = -14*g**4 - 68*g**3 + 298*g**2 - 808*g + 733. Let t(u) = 6*o(u) + 17*v(u). Factor t(k).
(k - 5)**3*(k - 2)
Let k = 10463/10 - 5214/5. Let 4 - 1/2*n**2 - k*n = 0. Calculate n.
-8, 1
Let i(z) = -4*z**5 + 8*z**4 + 15*z**3 - 24*z**2 + 10*z + 10. Let p(a) = -a**3 + 2*a + 2. Let j(h) = i(h) - 5*p(h). Solve j(u) = 0 for u.
-2, 0, 1, 3
Let x(l) be the third derivative of -1/672*l**8 + 0 + 23*l**2 + 0*l**3 - 1/10*l**6 - 3/140*l**7 - 2/15*l**5 + 0*l**4 + 0*l. Factor x(s).
-s**2*(s + 1)*(s + 4)**2/2
Let l(b) = -b**4 - b**3 + 3*b**2 - b + 1. Let m(j) = -9*j**4 + 7*j**3 + 7*j**2 - 5*j + 5. Let k(c) = -5*l(c) + m(c). Solve k(d) = 0 for d.
0, 1, 2
Let n(p) be the first derivative of -5*p**6/18 - 25*p**5/3 + 235*p**4/4 - 1315*p**3/9 + 520*p**2/3 - 100*p + 189. Let n(i) = 0. What is i?
-30, 1, 2
Let z be 3/(-6) + 181/2. Let x = z - 87. Let -7/5*w**2 + 1/5*w**5 + 0 - w**4 + 2/5*w + 9/5*w**x = 0. Calculate w.
0, 1, 2
Let q(y) be the second derivative of -y**6/60 - y**5/40 + y**4/6 + y**3/3 + 32*y - 4. Determine t so that q(t) = 0.
-2, -1, 0, 2
Determine m so that -48/11*m**4 - 144/11*m**3 + 114/11*m + 12/11*m**2 + 30/11*m**5 + 36/11 = 0.
-1, -2/5, 1, 3
Let u(n) be the third derivative of -2/15*n**5 - 1/6*n**4 + 4/105*n**7 + 1/84*n**8 + 0*n**3 + 0 + 0*n**6 + 19*n**2 + 0*n. Suppose u(z) = 0. What is z?
-1, 0, 1
Factor 2/5*i**2 - 6/5*i + 4/5.
2*(i - 2)*(i - 1)/5
Suppose -16 = 4*u - 0*u, -2*z - 5*u = 0. Suppose z*n - 11*n = -3. Factor -7*d + 2*d**2 - 4 - 3*d**2 + n*d.
-(d + 2)**2
Let x(b) be the third derivative of b**7/4200 - b**6/200 - 7*b**5/200 - 3*b**4/8 + 22*b**2. Let r(k) be the second derivative of x(k). Factor r(m).
3*(m - 7)*(m + 1)/5
Let r(v) be the first derivative of -1/22*v**4 - 6/11*v**2 + 0*v + 14 - 10/33*v**3. Factor r(k).
-2*k*(k + 2)*(k + 3)/11
Let h be (-72)/(-39) + 4956/273 + -18. What is y in 4/5*y - 1/5 - 4/5*y**3 + 1/5*y**h = 0?
-1, 1/4, 1
Let z(g) = 13*g + 299. Let x be z(-23). Let t(i) be the second derivative of -1/27*i**4 + 4*i + x*i**2 - 1/90*i**5 + 0*i**3 + 0. Factor t(v).
-2*v**2*(v + 2)/9
Factor 4*u - 2/3*u**2 - 10/3.
-2*(u - 5)*(u - 1)/3
Suppose -9 = 4*w - 17. Find f, given that -9*f**w + 4*f**2 - 7*f**3 + 30*f + 2*f**3 = 0.
-3, 0, 2
Let b(w) be the second derivati