(p + 1)*(3*p + 1)
Let y(m) be the first derivative of 22*m**3/3 - 20*m**2 - 8*m + 24. Factor y(t).
2*(t - 2)*(11*t + 2)
Suppose -2*y + 2*s + 40 = 10, 4*y - 60 = -2*s. Suppose 32*o - 51 = y*o. Determine k so that 7*k**2 - 20/3*k - 7/3*k**4 + 2/3*k**o + 4/3 = 0.
-2, 2/7, 1
Let f(p) = 2*p**3 + p**2 - 5*p + 4. Let t(m) = -m**2 + 6*m + 1. Let r be t(6). Let u be f(r). Let 1/2 - 3/4*n + 1/4*n**u = 0. What is n?
1, 2
Determine r so that -48400/7 - 4/7*r**2 + 880/7*r = 0.
110
Let l(i) = 3*i**2 + 7*i + 4. Let x(j) = j**2 + j. Let h(z) = -l(z) + 2*x(z). Determine n, given that h(n) = 0.
-4, -1
Let u(i) be the first derivative of -1/80*i**6 - 2 - 4*i - 3/80*i**5 + 0*i**2 + 3/32*i**4 + 0*i**3. Let s(r) be the first derivative of u(r). Factor s(x).
-3*x**2*(x - 1)*(x + 3)/8
Let i(o) be the third derivative of -o**5/12 - 5*o**4/8 + 46*o**2 - 2*o. Factor i(s).
-5*s*(s + 3)
Let v be 2/(-14)*-34 + (-12)/(-84). Suppose 5*f - 21*j = -25*j - v, -16 = 3*f + 5*j. Factor 2/5*a + 1/5*a**4 - a**2 + 0 - 1/5*a**5 + 3/5*a**f.
-a*(a - 1)**3*(a + 2)/5
Let l(q) = q**2 + 5*q - 18. Let h be l(13). Solve -716 - 501*b**2 - 8*b**4 - 124*b**3 - 159*b**2 + h - 1300*b = 0.
-5, -1/2
Solve 24*s**2 + 210*s + 4*s**3 - 2*s**3 - 47*s - 99*s = 0 for s.
-8, -4, 0
Factor -395*u + 5*u**2 + 767*u - 412*u + 60.
5*(u - 6)*(u - 2)
Let j(t) be the second derivative of 5*t**7/126 - 16*t**6/45 + 8*t**5/15 + 11*t**4/18 - 37*t**3/18 + 5*t**2/3 - 2*t + 25. Determine v so that j(v) = 0.
-1, 2/5, 1, 5
Let g(v) be the third derivative of 1/84*v**4 + 5/3*v**3 + 0 + 0*v + 1/1260*v**6 - 1/210*v**5 - 4*v**2. Let d(b) be the first derivative of g(b). Factor d(f).
2*(f - 1)**2/7
Let c(m) be the second derivative of m**7/630 - m**6/180 - m**5/5 - 17*m**4/12 + 14*m. Let r(z) be the third derivative of c(z). What is s in r(s) = 0?
-2, 3
Let a(f) be the second derivative of -f**7/7560 + f**6/1080 - f**5/360 - 13*f**4/12 - 5*f. Let c(o) be the third derivative of a(o). Let c(y) = 0. Calculate y.
1
Let y(j) be the second derivative of 0*j**3 - 55*j + 0*j**2 - 1/10*j**5 - 1/6*j**4 + 0. Suppose y(m) = 0. What is m?
-1, 0
Suppose 9*z + 5*s - 10 = 4*z, 2*z + 5*s = -2. Factor 2 + a**3 + z*a**2 + 0 + 3*a**3 - 5*a - 5*a**3.
-(a - 2)*(a - 1)**2
Suppose 1 = l - 3*r + 2*r, -3*l + r + 7 = 0. Factor -2/7*p**5 - 6/7*p**4 + 0 + 0*p - 6/7*p**l - 2/7*p**2.
-2*p**2*(p + 1)**3/7
Let l(z) be the third derivative of z**5/30 + 7*z**4/4 + 20*z**3/3 - z**2 - 48. Factor l(k).
2*(k + 1)*(k + 20)
Let c be (-3 - (1 - 6))/(1 + 0). Suppose 3*q**4 + 125*q + 29*q**2 + 3*q**4 + 55*q**3 - q**4 + 146*q**c = 0. What is q?
-5, -1, 0
Let c = -9541/660 - -34/165. Let p = -14 - c. Factor -1/4*j**3 - 1/4*j**2 + 0 + p*j**4 + 1/4*j.
j*(j - 1)**2*(j + 1)/4
Let n = 3120 + -3117. Suppose 3/2*h + 0 + 3/4*h**n + 9/4*h**2 = 0. Calculate h.
-2, -1, 0
Solve 286*c**2 - 14*c**3 + 48 - 282*c**2 + c**3 - 4*c**4 + 80*c - 23*c**3 + 4*c**5 = 0 for c.
-2, -1, 2, 3
Let y(m) = m**5 - m**3 - m**2 + m - 1. Suppose -7 = -2*u - 3. Let d(w) = w**4 - 2*w**4 + u + w - 3. Let c(h) = -d(h) + y(h). Factor c(z).
z**2*(z - 1)*(z + 1)**2
Let d(h) = 8*h**4 - 16*h**3 - 12*h**2 + 50*h + 26. Let a(w) = -w**4 + w**2 - w + 1. Let c(k) = 6*a(k) + d(k). Factor c(y).
2*(y - 8)*(y - 2)*(y + 1)**2
Let m be (-3)/(6/26*-1). Factor -2*n**2 + n**2 - m*n - 4*n**2 + 3*n.
-5*n*(n + 2)
Let l = -23 + 25. Let u be ((l + 1)/3)/(2/6). Factor -4/7*m**u + 4/7*m + 0 + 0*m**2.
-4*m*(m - 1)*(m + 1)/7
Let l(c) = c**2 - 5*c. Let w(o) = o**2 + o. Let s(v) = -10*l(v) + 5*w(v). Suppose s(u) = 0. What is u?
0, 11
Suppose 3*d + 4*o = 4 + 14, -15 = -5*o. Let u be (-4)/(10*d)*(-9 - 0). Suppose -2/5 - u*b - 3/5*b**3 - 2*b**2 = 0. What is b?
-2, -1, -1/3
Factor 3*m**2 - 15 + 6*m - 6*m - m**3 + 13*m.
-(m - 5)*(m - 1)*(m + 3)
Suppose -8 = 2*d - 12. Let k(j) be the first derivative of d*j - 3*j**3 - 6 + 7/2*j**2. Find g, given that k(g) = 0.
-2/9, 1
Let w(v) be the third derivative of v**4/24 - 18*v**2. Let j(o) = 4*o**2 + 21*o. Let y(q) = j(q) + 3*w(q). Let y(p) = 0. Calculate p.
-6, 0
Let z(m) be the first derivative of 3*m**8/560 - m**7/350 - m**6/100 - 13*m**2 - 22. Let c(v) be the second derivative of z(v). What is q in c(q) = 0?
-2/3, 0, 1
Let u**2 - u**2 - 9*u + 5*u**2 - 2*u**2 + 22 - 4*u**2 = 0. What is u?
-11, 2
Let g(d) be the third derivative of 0*d - 5/12*d**4 + 0*d**3 + 0 + 32*d**2 + 1/24*d**5. Factor g(m).
5*m*(m - 4)/2
Let g(c) be the first derivative of 16/21*c**3 - 5/14*c**4 + 12 - 4/7*c**2 + 2/35*c**5 + 0*c. Let g(x) = 0. Calculate x.
0, 1, 2
Let n(o) be the second derivative of o**5/50 - 11*o**4/5 - 67*o**3/15 + 339*o. Factor n(c).
2*c*(c - 67)*(c + 1)/5
Let s = -73 - -75. Find u, given that 245*u**s - 8 - 237*u**2 - 6*u**3 - 12*u - 4*u**5 + 22*u**3 = 0.
-1, 1, 2
Let a(r) be the second derivative of 1/140*r**5 + 0*r**2 - 1/84*r**4 + 0 + 3*r - 1/21*r**3. Factor a(h).
h*(h - 2)*(h + 1)/7
Let r(z) be the third derivative of 4/9*z**5 + 5/2*z**3 + 0 + 5*z**2 + 95/48*z**4 + 5/144*z**6 + 0*z. Factor r(s).
5*(s + 3)**2*(5*s + 2)/6
Let x(r) = 3*r + 32. Let a be x(-10). Let p(o) be the third derivative of -3/8*o**4 + 0*o + o**3 + 0 + o**a + 1/20*o**5. Factor p(l).
3*(l - 2)*(l - 1)
Let j(p) = -p**4 - p**2 + 3*p - 1. Let y(v) = -575*v**4 - 1870*v**3 - 1569*v**2 - 305*v - 13. Let l(i) = 3*j(i) + y(i). What is a in l(a) = 0?
-2, -1, -2/17
Suppose -140/3 - 1/3*g**2 - 11*g = 0. What is g?
-28, -5
Let r be (-4 + -1)*(-4)/10*-2. Let s(a) = 4*a**2 - 15*a. Let n(g) = -4*g**2 + 16*g. Let j(k) = r*s(k) - 3*n(k). Find c such that j(c) = 0.
0, 3
Let y(m) be the second derivative of -3*m**5/20 + 3*m**4/2 - 5*m**3/2 + m - 1. Factor y(c).
-3*c*(c - 5)*(c - 1)
Let m(s) be the second derivative of 3*s**5/20 + 3*s**4/4 - 2*s**3 + 101*s. Factor m(l).
3*l*(l - 1)*(l + 4)
Let f(s) be the first derivative of -s**6/48 - 3*s**5/10 - 3*s**4/2 - 8*s**3/3 - 478. Solve f(j) = 0 for j.
-4, 0
Let r(j) be the third derivative of j**6/30 + j**5/15 - j**4/6 - 2*j**3/3 + 50*j**2. Factor r(x).
4*(x - 1)*(x + 1)**2
Suppose 10*m = 2*m - 696. Let d = m - -89. Factor 0 + 2/5*s - 1/5*s**d.
-s*(s - 2)/5
Let z(v) be the third derivative of 0*v - 8/39*v**3 + 27/260*v**6 - 21/65*v**5 - 2*v**2 - 17/39*v**4 + 0. Factor z(c).
2*(c - 2)*(9*c + 2)**2/13
Let h be (-2)/(-4)*(-1968)/(-1476). Suppose -1/3 + h*z - 1/3*z**2 = 0. What is z?
1
Let s = -8 + 18. Factor -10*r - s + 6*r**2 + r + 6 - 2.
3*(r - 2)*(2*r + 1)
Factor 140*y**2 + 135*y**2 + 33*y + 137*y**2 + 136*y**2 - 551*y**2 - 90.
-3*(y - 6)*(y - 5)
Suppose 4*y + 3*g + 2*g - 33 = 0, -4*y = -5*g + 17. Let i be y/3*-1 - -1. Factor 0*q**3 - 1/6*q + 0 + 1/6*q**5 - i*q**4 + 1/3*q**2.
q*(q - 1)**3*(q + 1)/6
Let b(o) = -4*o**4 - 12*o**3 - 8*o**2 + 22*o + 2. Let t(y) = -y**4 + y**2 - y + 1. Let a(l) = -b(l) + 2*t(l). Factor a(v).
2*v*(v - 1)*(v + 3)*(v + 4)
Let k = -525 - -41979/80. Let c = -1/16 - k. Factor -2/5*q - c*q**2 - 1/5.
-(q + 1)**2/5
Suppose -3*z**3 - 111/2*z + 12 + 123/4*z**2 = 0. Calculate z.
1/4, 2, 8
Let z = -1178 - -1661. Factor 4 - 3*p - 3 - 484*p**3 + 3*p**2 + z*p**3.
-(p - 1)**3
Let w(f) be the first derivative of 9*f**4/5 - 8*f**3/15 + 203. Factor w(c).
4*c**2*(9*c - 2)/5
Let a(b) be the first derivative of -2/7*b**2 + 0*b + 2/21*b**3 - 5 + 1/14*b**4. Factor a(i).
2*i*(i - 1)*(i + 2)/7
Suppose -2*j + 7*j = 25. Let c(v) be the first derivative of 40*v**2 + 22*v**3 + 5*v**4 - 10 + 2/5*v**j + 32*v. Factor c(y).
2*(y + 1)**2*(y + 4)**2
Suppose -3*m - 5*j = -31, -2*m = -3*j + 8 + 3. Factor 4*y**2 + m*y**2 - 9*y**2 + 7*y**2 - 4.
4*(y - 1)*(y + 1)
Factor -96*a - 8127 + 27 - a**2 - 84*a.
-(a + 90)**2
Let p be (-35)/(-7) - -1*(3 - 9). Let j be 253/92 - p/4. Factor -8 + 7/2*y**2 + 1/2*y**j + 4*y.
(y - 1)*(y + 4)**2/2
Let a be 7*(4 + 78/(-21)). Factor 2*d + a*d + 57*d**3 + 36*d**4 - 96*d**3 + 51*d**3 - 20*d**2.
4*d*(d + 1)*(3*d - 1)**2
Suppose 2*z**2 + 8939*z - 6*z**2 + 0*z**2 - 8903*z + 3*z**2 = 0. What is z?
0, 36
Determine d so that 115 + 53*d - 331*d**2 + 366*d**2 + 32*d - 565 = 0.
-5, 18/7
Let k(c) be the first derivative of c**6/1620 + c**5/540 + 19*c**3/3 - 4. Let x(z) be the third derivative of k(z). Suppose x(d) = 0. Calculate d.
-1, 0
Let t(w) be the first derivative of -12 + 9/2*w**4 + 12*w + 18*w**2 + 13*w**3 + 3/5*w**5. Find p, given that t(p) = 0.
-2, -1
Suppose 216/5*a**2 - 21/5*a**3 - 117*a + 30 