 = -18143/5 + 3631. Solve -a*n + 12/5 + 3/5*n**2 = 0 for n.
2
Suppose -15 - 41 = -28*f. Let y(q) be the third derivative of 1/30*q**4 + 2/15*q**3 + 0 + 1/300*q**5 - q**f + 0*q. Suppose y(h) = 0. Calculate h.
-2
Let i(t) be the first derivative of t**6/120 - 3*t**5/40 + t**4/4 + 10*t**3/3 - 19. Let h(f) be the third derivative of i(f). Let h(j) = 0. Calculate j.
1, 2
Let w(r) = r. Let f(s) = 4*s**2 + 206*s + 2704. Let p(i) = f(i) + 2*w(i). Factor p(n).
4*(n + 26)**2
Let v = -154 + 156. Let a(c) be the second derivative of 0 + 0*c**3 + 1/42*c**4 - 1/210*c**6 - 1/14*c**v + 0*c**5 + 2*c. Suppose a(f) = 0. Calculate f.
-1, 1
Suppose -6*k + 180 = -3*k. Factor 3*q**2 - k - 11*q**2 - 14*q + 64.
-2*(q + 2)*(4*q - 1)
Suppose -3*g + 5*n = -0*g - 26, -4*n = -2*g + 20. Factor -6*j - 38 - 3*j**g + 38.
-3*j*(j + 2)
Let j = 133 - 87. Suppose -j*b**2 + 47*b**2 - 4 - 3*b + 4 = 0. Calculate b.
0, 3
Let z(c) be the first derivative of 2*c**7/21 + 2*c**6/15 + 16*c + 6. Let g(l) be the first derivative of z(l). Factor g(b).
4*b**4*(b + 1)
Let z be (-10)/25 - (-308)/20. Let y be z/9 + -3 + (-20)/(-12). Find h such that -y - 7/6*h - 1/2*h**2 = 0.
-2, -1/3
Let i = 151 - 149. Let h(r) be the third derivative of 1/10*r**4 - 1/50*r**5 + 0 - r**i - 4/15*r**3 + 1/600*r**6 + 0*r. Suppose h(j) = 0. Calculate j.
2
Let f(i) = -i**2 - 2*i + 5. Let g be f(-4). Let l be g + (-2 - -4) + 3. Find q, given that l*q**2 - 2 - 3*q - q + 4 = 0.
1
Let c = -347 + 1389/4. Factor c*m**2 + 3/4*m + 1/2.
(m + 1)*(m + 2)/4
Suppose 0 = -4*l + 31 - 11. Suppose 24 = l*m - 11. Suppose m*w**3 - 3*w**5 + 0 - 3*w**4 + 0 - w**3 = 0. Calculate w.
-2, 0, 1
Suppose -96 + 328*c - 102*c - 2*c**5 - 216*c**4 + 170*c + 180*c - 1038*c**2 + 23*c**5 + 753*c**3 = 0. What is c?
2/7, 1, 4
Let g(s) be the second derivative of s**7/126 + s**6/15 - s**5/60 - s**4/6 + 706*s. Find u such that g(u) = 0.
-6, -1, 0, 1
Let f(r) = 12*r**5 - 48*r**4 + 156*r**3 - 237*r**2 + 156*r - 57. Let l(q) = -q**5 + q**4 - q**3 + 2*q + 1. Let i(m) = f(m) + 9*l(m). Factor i(w).
3*(w - 8)*(w - 2)*(w - 1)**3
Suppose -91 = 4*d + w - 0*w, -5*d - 125 = -w. Let j = d + 24. Factor -1 + 3 - 3*f + j - 3*f**2 + 4.
-3*(f - 1)*(f + 2)
Suppose -59*z + 316 = 20*z. Let j(u) be the second derivative of 44/3*u**3 - 121/6*u**4 - 9*u + 0 - z*u**2. Solve j(w) = 0 for w.
2/11
Let s be (-5)/((-5)/26) + 1 + 0. Let o be (-106)/(-8) + 15/20. Factor 2 - 15*c + s*c**3 - 6 + o*c**2 - 5*c**2 + 12*c**4 - 5.
3*(c + 1)**3*(4*c - 3)
Let o(a) be the second derivative of -a**7/140 - 3*a**6/40 - 3*a**5/10 - a**4/2 + 9*a**2 - 2*a. Let d(y) be the first derivative of o(y). Factor d(r).
-3*r*(r + 2)**3/2
Let k = -2/133 - -3/19. Let h = k + 17/28. Factor h*l + 1/2 + 1/4*l**2.
(l + 1)*(l + 2)/4
Let i(a) be the third derivative of a**8/2856 - a**7/1785 - a**6/170 + 2*a**5/255 + 2*a**4/51 + 399*a**2. Determine c so that i(c) = 0.
-2, -1, 0, 2
Let p(t) be the third derivative of -t**7/3780 + 3*t**4/8 - 3*t**2. Let q(f) be the second derivative of p(f). Factor q(h).
-2*h**2/3
Let l(a) = a**3 - 2*a**2 - 2*a. Let w(s) = 141*s**3 - 7846*s**2 - 3726*s - 440. Let z(c) = -3*l(c) - w(c). Determine y, given that z(y) = 0.
-1/4, -2/9, 55
Let u be 16/1978*(3210/108 - 2). Let n = u + -2/989. Let 0 - n*l**4 + 0*l + 0*l**3 + 2/9*l**2 = 0. Calculate l.
-1, 0, 1
Let n(b) = b + 10. Let d be n(-5). Let j = d - 1. What is c in -c**2 - 3*c**3 + c + j*c**3 + 3*c**2 = 0?
-1, 0
Let p(q) = 5*q**5 - 21*q**4 + 45*q**3 - 39*q**2 + 10*q. Let h(t) = 26*t**5 - 105*t**4 + 225*t**3 - 195*t**2 + 49*t. Let o(n) = 2*h(n) - 11*p(n). Factor o(s).
-3*s*(s - 4)*(s - 1)**3
Suppose 5*r + 24 = 8*r. Suppose 166*p**4 - 8*p - 164*p**4 + 8*p**3 - r + 3*p**2 + 3*p**2 = 0. Calculate p.
-2, -1, 1
Let s(n) be the first derivative of n**6/180 + 2*n**5/45 + 5*n**4/36 + 2*n**3/9 + 9*n**2/2 - 12. Let z(w) be the second derivative of s(w). Factor z(h).
2*(h + 1)**2*(h + 2)/3
Let q = 184381/9 + -20485. Factor -4/9*x**2 + 0 - q*x.
-4*x*(x + 4)/9
Solve -13*y**3 - 2 + 103/2*y**2 - 50*y = 0.
-1/26, 2
Let h be (-52)/(-12) - ((-26)/(-6) - 3). Let j(n) be the first derivative of -6 + 0*n + 0*n**h - 1/10*n**5 - n**2 + 3/8*n**4. Factor j(w).
-w*(w - 2)**2*(w + 1)/2
Let -1/2*m + 0*m**3 - 1/4*m**4 + 3/4*m**2 + 0 = 0. Calculate m.
-2, 0, 1
Factor 16/11*j - 32/11 + 2/11*j**3 + 14/11*j**2.
2*(j - 1)*(j + 4)**2/11
Let h(a) be the third derivative of -a**7/280 - a**6/90 - a**5/120 + 19*a**3/3 + 23*a**2. Let u(y) be the first derivative of h(y). Factor u(j).
-j*(j + 1)*(3*j + 1)
Let u(y) be the third derivative of y**5/240 + y**4/32 + y**3/12 - 2*y**2 - 18*y. Determine s so that u(s) = 0.
-2, -1
Let d be 0 - -207 - (-10 - -4 - -6). Factor -5*h**2 + d - 207 + 5*h.
-5*h*(h - 1)
Suppose -4*j = -13*j + 135. Let o be -8 + j + -9 + 14/4. Suppose 3/2*f**4 - o*f**3 - 3*f**2 + 0*f + 0 = 0. Calculate f.
-1, 0, 2
Suppose -267*h = -272*h - 15. Let o be (1/h)/((-7)/6). Determine x so that 0 - 2/7*x**2 - o*x = 0.
-1, 0
Let l(q) be the third derivative of -q**7/42 + 5*q**6/24 - q**5/3 + 2*q**2 - 9. Factor l(t).
-5*t**2*(t - 4)*(t - 1)
Factor -2/3*p**4 - 14/3 - 16*p**2 + 44/3*p + 20/3*p**3.
-2*(p - 7)*(p - 1)**3/3
Suppose -6 = 2*m - 18. Factor 3*s**2 + s**2 - 5*s**2 - m*s**3.
-s**2*(6*s + 1)
Let m(u) = -21*u**2 - 131*u - 298. Let g(r) = -4*r**2 - 26*r - 60. Let w(d) = -11*g(d) + 2*m(d). Factor w(h).
2*(h + 4)*(h + 8)
Let l(f) be the third derivative of -1/30*f**5 + 1/210*f**7 + 0*f + 0*f**3 + 0 - 1/120*f**6 - 6*f**2 + 0*f**4. Factor l(y).
y**2*(y - 2)*(y + 1)
Let r(f) be the second derivative of 2*f**7/63 - 4*f**6/45 - f**5/5 + 4*f**4/9 + 8*f**3/9 - 3*f - 131. Factor r(o).
4*o*(o - 2)**2*(o + 1)**2/3
Let v = 53 - 57. Let z be ((-3)/6 + (-2)/v)/(-2). Factor -2/7*q**2 + z - 4/7*q.
-2*q*(q + 2)/7
Let s(k) be the second derivative of -k**4/24 + k**3/3 - k**2 - 62*k. Solve s(d) = 0.
2
Suppose 27*u**3 + 194*u**2 - 4*u**2 - 24 - 57*u**2 + 112*u - 4*u**2 - 34*u = 0. Calculate u.
-4, -1, 2/9
Let r(p) be the third derivative of p**5/20 + 15*p**4/8 - 8*p**3 - 65*p**2. Factor r(b).
3*(b - 1)*(b + 16)
Let i = 1464 + -1464. Find m such that 0*m**3 + 0 + i*m + 1/4*m**2 - 1/4*m**4 = 0.
-1, 0, 1
Let z = 32906 - 163937/5. Let p = -118 + z. Factor 1/5*a**3 + 3/5*a - 1/5 - p*a**2.
(a - 1)**3/5
Let j(i) be the second derivative of -1/2*i**3 - 1/180*i**5 + 0 + i + 3*i**2 + 1/12*i**4. Let n(d) be the first derivative of j(d). Let n(z) = 0. Calculate z.
3
Let z(u) = 4*u - 21. Let i be z(-8). Let f = -51 - i. Determine k so that -2/5*k + 0*k**f + 2/5*k**3 + 0 = 0.
-1, 0, 1
Factor -10182 + 4*b**2 - 450*b - 6693 - 2*b**2 - 5*b**2.
-3*(b + 75)**2
Let a(o) = 4*o + 68. Let q be a(-12). Let l be ((-4)/3)/(q/(-12)). Factor -14/5*u**2 - l - 18/5*u.
-2*(u + 1)*(7*u + 2)/5
Let f(v) = 9*v**5 + 9*v**4 - 5*v**3 - 3*v**2 + 6*v + 4. Let p(m) = -m**4 + 2*m**2 + m. Let o(h) = -f(h) + 6*p(h). Factor o(a).
-(a + 1)**3*(3*a - 2)**2
Suppose -2*b + 5*x - 4 = 0, x - 4 - 4 = -2*b. Let w be 3 + (b - 8) - (-112)/49. Factor 6/7 + 4/7*m - w*m**2.
-2*(m - 3)*(m + 1)/7
Let i(u) be the second derivative of u**5/210 - u**3/21 + 5*u**2 + 3*u. Let v(y) be the first derivative of i(y). Factor v(m).
2*(m - 1)*(m + 1)/7
Suppose -1 + 3 = -q, h - 5*q = -11. Let x be 6/h - (-111)/21. Factor -20*n**5 - 21*n**5 - 9*n**3 + 44*n**x + 6*n**2.
3*n**2*(n - 1)**2*(n + 2)
Suppose -2*w + 4 - 2 = -2*h, 0 = -2*h + 3*w - 5. Factor 20*v**3 + 1 + v**2 + 10*v + 33*v**2 + v**h - 6.
5*(v + 1)**2*(4*v - 1)
Suppose -5*j + 600 = -5*y, 3 + 7 = 2*j. Let b = y + 115. What is x in 0*x + 0*x**3 + 0 + 1/4*x**4 + b*x**2 = 0?
0
Let h = 24 - 4. Let u be (-58)/(-30) - h/15. Factor -3/5 + u*m**2 - 3/5*m**3 + 3/5*m.
-3*(m - 1)**2*(m + 1)/5
Let q(x) be the second derivative of x**5/30 - 11*x**4/54 + 8*x**3/27 + 4*x**2/9 - 2*x + 67. Solve q(m) = 0.
-1/3, 2
Let w(t) be the first derivative of -2*t**5/5 - 53*t**4/16 - 43*t**3/12 + 19*t**2 - 12*t + 218. Suppose w(k) = 0. Calculate k.
-4, 3/8, 1
Let w(x) be the second derivative of -x**5/5 - 7*x**4/3 + 16*x**3/3 + 123*x - 2. Factor w(c).
-4*c*(c - 1)*(c + 8)
Let o = -1489 - -13387/9. Let b = -8/9 - o. Factor 4/3*z - 2/3 - b*z**2.
-2*(z - 1)**2/3
Suppose t = q + 6, 3*t + 5*q - 4 - 6 = 0. Factor -3*l - 147*l**2 - 12*l + t*l**3 + 137*l**2.
5*l*(l - 3)*(l + 1)
Let l(u) = 5*u**3 - 10*u - 5. Let z(c) = -5*c**3 + 9*c + 4. Sup