+ 5*d**2 + 1/42*d**3 - 1/84*d**4 + 1/420*d**5 + 0. Suppose n(y) = 0. Calculate y.
1
Let h be 3/(62 - (0 + 2) - 4). Let p(v) be the third derivative of 1/14*v**3 + 2/245*v**7 + 0 + 2*v**2 + 0*v + 3/280*v**6 - 1/28*v**5 - h*v**4. Solve p(j) = 0.
-1, 1/4, 1
Factor -526/11*l + 2*l**2 - 48/11.
2*(l - 24)*(11*l + 1)/11
Find a such that -2/3*a**3 - 22/3*a + 6*a**2 - 14 = 0.
-1, 3, 7
Let t(v) be the second derivative of 3*v**5/20 - 3*v**4/16 - v**3/8 + 2*v - 47. Factor t(l).
3*l*(l - 1)*(4*l + 1)/4
Let r = -22 - -30. Factor -2*k**3 - r*k**4 + 2*k**2 - 3*k**2 + 7*k**4.
-k**2*(k + 1)**2
Suppose -17*b + 37 + 184 = 0. Let d be 24/96 + b/12. Factor -2 - d*x + 2/3*x**2.
2*(x - 3)*(x + 1)/3
Suppose 0 = -2*d - 5*b + 10, 0 = 2*d - 5*d + 4*b - 31. Let x be 2 - d/(-4)*-2. Factor -15/2*u**2 + 3 - x*u.
-3*(u + 1)*(5*u - 2)/2
Let w(o) be the second derivative of o**6/285 - 39*o**5/95 + 1441*o**4/114 + 1040*o**3/19 + 1600*o**2/19 - 73*o. Factor w(r).
2*(r - 40)**2*(r + 1)**2/19
Let h(f) be the first derivative of -f**5/110 - 3*f**4/22 - 8*f**3/11 - 16*f**2/11 - 7*f + 13. Let x(c) be the first derivative of h(c). Factor x(j).
-2*(j + 1)*(j + 4)**2/11
Let k be ((-56)/21)/(2*1/(-3)). Factor k - 4/5*g**2 + 16/5*g.
-4*(g - 5)*(g + 1)/5
Let m(h) be the second derivative of -h**7/210 - 2*h**6/75 - h**5/20 - h**4/30 - h - 60. Factor m(b).
-b**2*(b + 1)**2*(b + 2)/5
Let k(z) be the first derivative of 0*z + 0*z**3 - 1/11*z**4 + 2/55*z**5 + 23 + 0*z**2. Factor k(s).
2*s**3*(s - 2)/11
Suppose 60*i - 53*i = 42. Find o such that -i*o**2 + 2*o**2 + 46*o - 110*o - 294 + 38 = 0.
-8
Let g(c) be the first derivative of 0*c**2 + 0*c + 0*c**3 + 5 + 1/16*c**4. Suppose g(u) = 0. Calculate u.
0
Let j be (-11)/(-44)*3/(3/8). Determine c so that -2/5*c**j - 4/5*c**3 + 2*c - 4/5 = 0.
-2, 1/2, 1
Let b(x) = 4*x**3 - 18*x**2 - 58*x + 168. Let w(g) = 17*g**3 - 73*g**2 - 233*g + 676. Let c(p) = -9*b(p) + 2*w(p). Factor c(i).
-2*(i - 10)*(i - 2)*(i + 4)
Let x(m) be the second derivative of -m**5/50 - 2*m**4/15 - m**3/3 - 2*m**2/5 + 27*m - 1. Find a, given that x(a) = 0.
-2, -1
Let p(j) = 6*j**3 + 69*j**2 - 27*j. Suppose 0 = -z - 3*m - 16, 4 = -z + 3*z - 3*m. Let c(n) = n**3 + 10*n**2 - 4*n. Let b(o) = z*p(o) + 27*c(o). Factor b(q).
3*q**2*(q - 2)
Let n(v) = v**2 + 2*v - 7. Let z be n(2). Let b = -5 - -3. Let q(g) = 24*g**2 - 96*g + 130. Let m(h) = h**3 + 1. Let r(s) = b*m(s) + z*q(s). Factor r(f).
-2*(f - 4)**3
Let k(y) be the third derivative of y**7/189 + y**6/45 + y**5/45 - y**4/27 - y**3/9 - 647*y**2. Find v such that k(v) = 0.
-1, 3/5
Let g = 4147 + -4147. Suppose -1/2*f**5 - 2*f**3 + g + 0*f**2 - 2*f**4 + 0*f = 0. What is f?
-2, 0
Let u(b) be the first derivative of -4*b**3/3 + 6*b**2 + 2*b - 9. Let h(m) = 12*m**2 - 36*m - 7. Let r(j) = -2*h(j) - 7*u(j). Solve r(f) = 0.
0, 3
Let h = -11713 + 11717. Factor -23/3*c**3 + 2/3 + 22/3*c**2 - 7/2*c - 5/6*c**5 + 4*c**h.
-(c - 1)**4*(5*c - 4)/6
Let l be (-1047)/(-9) - (-2)/(-6). Let i be (-44)/110 + l/90. Determine u, given that -26*u**4 + 82/9*u**3 + 226/9*u**2 + 80/9*u - 18*u**5 + i = 0.
-1, -2/9, 1
Let y = -62 - -59. Let k(r) = -3*r - 4. Let x be k(y). Let 4/3*t + 15*t**3 - 49/3*t**x + 0 + 28/3*t**4 - 28/3*t**2 = 0. What is t?
-1, 0, 2/7, 1
Let k be ((-5)/(-5))/(-1)*(-3 + 1). Factor -3 - 5*z + 3*z - 1 + z**k + 5.
(z - 1)**2
Let m(f) = -28*f**3 + 32*f**2 + 216*f + 72. Let q(k) = -8*k**2 - k. Let u(a) = -m(a) + 12*q(a). Factor u(n).
4*(n - 6)*(n + 1)*(7*n + 3)
Let k be 4/5*(-15)/(-9). Suppose -4*x - 8 = -71*z + 73*z, 5*z + 20 = 0. Factor k*w**2 - 14/3*w**3 + x + 0*w - 2*w**5 + 16/3*w**4.
-2*w**2*(w - 1)**2*(3*w - 2)/3
Suppose -173 - 135 = -101*q - 5. What is a in -2/3*a + 0 - 5/3*a**2 + 7/3*a**q = 0?
-2/7, 0, 1
Let m(j) = -j**3 - 11*j**2 - 11*j - 12. Let g be m(-10). Let f be g/(-3)*(-3)/(-10). Factor 0 + 0*k - f*k**2 + 1/5*k**3.
k**2*(k - 1)/5
Suppose -8/7*o + 2/7*o**4 + 8/7*o**3 - 2/7*o**2 + 0 = 0. What is o?
-4, -1, 0, 1
Let b(a) be the first derivative of 8*a - 2/3*a**3 + 30 - 3*a**2. Factor b(p).
-2*(p - 1)*(p + 4)
Let r(t) be the second derivative of -t**6/15 + 2*t**5/5 + 72*t. Find k such that r(k) = 0.
0, 4
Suppose 0 = -9*w - 666 - 594. Let b be 1 - (w/(-16))/(-7). Factor -9/4*q**2 - b*q - 3/4 - 3/4*q**3.
-3*(q + 1)**3/4
Let x(o) = -o**3 + 4*o**2. Let m be x(4). Let p be (3 - 4) + (-12)/(-7) + (-2)/7. Determine r so that -6/7*r - p*r**2 + m = 0.
-2, 0
Let y be -2 + 8/2 + 1 + 0. Factor -5*c**4 - 4*c**4 + 390*c**y - 1080*c**2 + 5*c**5 - 810 + 1485*c - 56*c**4 - 5*c**4.
5*(c - 3)**4*(c - 2)
Let c(s) = 17*s**2 - 34*s - 1. Let n(i) = -21*i**2 + 32*i + 1. Let w(h) = -2*c(h) - 3*n(h). Factor w(q).
(q - 1)*(29*q + 1)
Let m be 9/10 + -9*(-4)/(-90). Let o(c) be the first derivative of 1/12*c**3 - m*c + 1 - 1/8*c**2. Suppose o(x) = 0. Calculate x.
-1, 2
Factor -2/3*n**2 + 4/3 + 2/3*n.
-2*(n - 2)*(n + 1)/3
Let j(s) be the third derivative of -s**6/160 + 9*s**5/5 - 216*s**4 + 13824*s**3 - 50*s**2. Find i, given that j(i) = 0.
48
Find w, given that 4/9*w**2 - 1/9*w**3 + 0 - 4/9*w = 0.
0, 2
Suppose -7*f + 387 = 107. Let v be 128/f + (1 - 4). Let -2/5 - v*d**2 + 3/5*d = 0. What is d?
1, 2
Let h(w) be the second derivative of -w**4/15 - 6*w**3/5 - 28*w**2/5 - 3*w - 1. Solve h(m) = 0 for m.
-7, -2
Let a(w) be the second derivative of -w**4/126 - 11*w**3/63 + 125*w. Suppose a(d) = 0. What is d?
-11, 0
Let r = -308 - -311. Let k(d) be the first derivative of 1/21*d**6 + 1/7*d**2 - 1/7*d**4 - 2/35*d**5 + 4/21*d**r - 2/7*d - 2. Let k(f) = 0. Calculate f.
-1, 1
Let v(w) = 5*w**2 + 308*w + 201. Let l be v(-61). Factor -27*n**3 - l*n**2 + 3*n + 9/2 - 21/2*n**4.
-3*(n + 1)**3*(7*n - 3)/2
Find u such that -54/5*u**2 - 2 + 64/5*u = 0.
5/27, 1
Determine v, given that 7/4*v**5 - 19/2*v**4 + 3 - 19/4*v + 15*v**3 - 11/2*v**2 = 0.
-4/7, 1, 3
Let j be 4/3 + (-153)/119. Let g(i) be the second derivative of 6*i + 0*i**2 - 2/15*i**6 + 0 + j*i**7 + 1/10*i**5 + 0*i**3 + 0*i**4. Factor g(o).
2*o**3*(o - 1)**2
Let b(d) = 14*d**2 - 41*d + 7. Let w(z) = -7*z**2 + 21*z - 4. Let q(r) = 9*r - 9*r + 2*r**2. Let f be q(-1). Let k(y) = f*b(y) + 5*w(y). Solve k(i) = 0.
2/7, 3
Determine t so that 56*t**5 - 36*t + 25*t**4 - 48*t - t**4 - 75*t**3 + 24 + 114*t**2 - 59*t**5 = 0.
1, 2
Let f(s) be the first derivative of 11*s**4/20 - 8*s**3/5 - 42*s**2/5 + 16*s/5 + 566. Find u such that f(u) = 0.
-2, 2/11, 4
Let w = 150 + -150. Let q(h) be the first derivative of 5/2*h**4 + w*h**2 - 14 + 2/5*h**5 + 8/3*h**3 + 0*h. What is b in q(b) = 0?
-4, -1, 0
Let j(a) = -60*a**2 + 59*a - 12. Suppose 3*o = 2*o + 2. Let u(q) = -30*q**2 - 4 + 29*q + 0 - 2. Let c(l) = o*j(l) - 5*u(l). Factor c(r).
3*(2*r - 1)*(5*r - 2)
Find t such that -80*t + 73*t**2 + 66*t**2 - 55*t**2 - 4*t**3 = 0.
0, 1, 20
Let y(g) be the third derivative of g**8/10080 - g**7/1260 + g**5/12 + 18*g**2. Let z(b) be the third derivative of y(b). Factor z(p).
2*p*(p - 2)
Let y(o) be the first derivative of -5*o**4/24 + 5*o**3/6 + 5*o**2/12 - 5*o/2 - 176. Let y(v) = 0. What is v?
-1, 1, 3
Suppose 106*q = 53*q + 265. Find j such that 8/5*j**2 - 4/5 - 24/5*j**3 + 12/5*j + 12/5*j**q - 4/5*j**4 = 0.
-1, 1/3, 1
Suppose 33/7*a**3 + 0 + 4/7*a + 5/7*a**5 - 22/7*a**4 - 20/7*a**2 = 0. What is a?
0, 2/5, 1, 2
Suppose -37 + 5 + 3*g**2 + g**2 - 36*g - 8*g**2 = 0. Calculate g.
-8, -1
Let p(z) = 11*z**5 + 123*z**4 + 77*z**3 - 7*z**2 + 7*z + 7. Let f(l) = 10*l**5 + 122*l**4 + 82*l**3 - 6*l**2 + 6*l + 6. Let r(h) = 7*f(h) - 6*p(h). Factor r(d).
4*d**3*(d + 1)*(d + 28)
Let j = -167 - -169. Let q(h) be the third derivative of 0*h**3 + 1/6*h**4 + 1/30*h**6 + 0 - 2/15*h**5 + 2*h**j + 0*h. Factor q(k).
4*k*(k - 1)**2
Factor 10*d**3 - 56/5*d**2 - 12/5*d**4 + 8/5*d + 0.
-2*d*(d - 2)**2*(6*d - 1)/5
Let z(w) be the third derivative of -w**9/20160 + w**8/2240 + w**7/420 - w**5/15 - w**4/24 - 2*w**2 - 4. Let x(n) be the third derivative of z(n). Factor x(p).
-3*p*(p - 4)*(p + 1)
Let o(c) be the second derivative of -c**4/6 + 2*c**3 + 71*c. Let o(a) = 0. Calculate a.
0, 6
Let j(u) = 2*u**4 - u**3 - u**2 + 2*u - 1. Let q(c) = -c**5 + 9*c**4 - 5*c**3 + c**2 + 12*c - 10. Let l(k) = -6*j(k) + q(k). Find o such that l(o) = 0.
-2, -1, 1
Suppose -h + 3 + 3 = 0. Let m(i) = -i. Let n(p) = -3*p**2 + 15*p. Let c(a) = h*m(a) + n(a). Factor c(k).
-3*k*(k - 3)
Find i, given that 1/7*i*