e 43/3*z**2 - 346/3*z + 176 - 1/3*z**3 = 0 for z.
2, 8, 33
Let o = 27072/11 + -54133/22. Factor o*a**3 - 1/2*a - 1 + a**2.
(a - 1)*(a + 1)*(a + 2)/2
Let i(y) = -y**2 + y + 3. Let k(t) be the first derivative of 5*t**3/3 - 15*t**2/2 - 36*t - 150. Let w(p) = 6*i(p) + k(p). Factor w(g).
-(g + 3)*(g + 6)
Let j(o) = 7*o**5 - 9*o**4 - 9*o**3 - 7*o**2 - 2*o - 4. Let c = -398 - -402. Let t(h) = 2*h**5 - h**4 - 1. Let i(n) = c*t(n) - j(n). Factor i(r).
r*(r + 1)**3*(r + 2)
Let j(r) be the first derivative of 1/30*r**5 + 15*r + 4 + 0*r**2 + 0*r**3 + 2/9*r**4. Let x(a) be the first derivative of j(a). Let x(l) = 0. What is l?
-4, 0
Suppose 34*x + 11 = -21*x + 97 + 79. Determine o, given that 0 + 8/5*o**4 - 4/5*o**x - 24/5*o**2 + 18/5*o + 2/5*o**5 = 0.
-3, 0, 1
Solve -76*h - 5775/2*h**2 + 2888 - 1/2*h**4 + 76*h**3 = 0.
-1, 1, 76
Factor -254231 - 230361 - 241503 - 2704*h - 187857 - 5*h**2 + 3*h**2.
-2*(h + 676)**2
Suppose -2*d - 45 + 53 = o, 3*d - o - 12 = 0. Let u(l) be the first derivative of 1/18*l**d + 8/27*l**3 + 5/9*l**2 - 9 + 4/9*l. Factor u(h).
2*(h + 1)**2*(h + 2)/9
Let i be 34/85*(-5)/2. Let k be 2/((-2)/i)*544/340. Find u such that -2/5*u**2 + 6/5*u + k = 0.
-1, 4
Let q(w) be the second derivative of 25*w**7/42 - 2*w**6/3 - 8*w**5/5 + 11*w**4/6 + 7*w**3/6 - w**2 + 347*w. Suppose q(y) = 0. What is y?
-1, -2/5, 1/5, 1
Suppose -8*r + 4*k + 12 = -7*r, 3*k + 9 = -2*r. Suppose 2*p + 8 = -r*p + 3*g, 3*p - 2 = g. Suppose -2/9*h**p - 32/9 - 16/9*h = 0. Calculate h.
-4
Determine p so that -561*p**3 + 49*p**4 + 1216*p + 13*p**5 + 50*p**4 - 242*p - 10*p**5 + 52*p + 369*p**2 = 0.
-38, -1, 0, 3
Let k(g) = -g**2 + g + 4. Suppose 6*c = c - 15. Let h be (-3 + 1)*(6 - 8). Let n(j) = -j**2 + 3. Let a(i) = c*k(i) + h*n(i). Find o such that a(o) = 0.
-3, 0
Let w(g) = 5*g**2 + 2*g. Let d = 16 - 9. Suppose 1 = 4*p - d. Let t(k) = 110*k**2 + 45*k. Let q(c) = p*t(c) - 45*w(c). Factor q(l).
-5*l**2
Let p be (135/81)/(-1 + 136/96). Factor 70/3*y**2 - p*y**3 - 10/3 - 16*y.
-2*(y - 5)*(y - 1)*(6*y + 1)/3
Let a be -7 - (0 - 36)/4. Factor -4*l**2 - 48*l + 0*l**a + 9*l**2 - l**2 + 76 + 32.
4*(l - 9)*(l - 3)
Let r = -80598 - -483589/6. Solve -2/3*g**4 + 5/3*g**2 + r*g**5 + 0*g**3 - 1 - 1/6*g = 0.
-1, 1, 2, 3
Let m(a) = -a**2 - 16*a - 22. Let g be m(-10). Suppose 4*s - g = -q, -5*q + 39 = -5*s - 76. Factor -12 - 9*b + q - 16 + 5*b**2.
(b - 2)*(5*b + 1)
Let o(r) be the third derivative of 0*r + 1/40*r**6 + 2/5*r**5 + 0 + 5*r**3 + 17/8*r**4 - 92*r**2. Factor o(b).
3*(b + 1)*(b + 2)*(b + 5)
Let j(d) = d**3 + 13*d + 1 - 13*d + d**2. Let f(q) = 0*q**3 + 137909*q**2 + 3 - 137906*q**2 + 2*q + q**3. Let w(p) = f(p) - 3*j(p). Factor w(i).
-2*i*(i - 1)*(i + 1)
Let i(h) be the first derivative of 4*h + 4*h**2 - 83 + 4/3*h**3. Let i(l) = 0. Calculate l.
-1
Factor -10584 + 168*g - 2/3*g**2.
-2*(g - 126)**2/3
Let c(u) = -55*u**4 - 1925*u**3 - 30715*u**2 + 32670*u + 75. Let n(v) = -9*v**4 - 321*v**3 - 5119*v**2 + 5445*v + 12. Let i(y) = -4*c(y) + 25*n(y). Factor i(l).
-5*l*(l - 1)*(l + 33)**2
Let b(z) = -z**2 + 1901*z - 226585. Let q(u) = -4*u**2 + 5704*u - 679752. Let f(h) = -8*b(h) + 3*q(h). Suppose f(d) = 0. What is d?
238
Determine z so that 17 - 22*z**2 - 72*z**2 + 50*z**4 - 98*z - 26 + 26*z**3 - 8*z**4 - 11 = 0.
-1, -2/7, 5/3
Let f be (4 - (-10)/6*-3)*1. Let n(m) = 18*m**3 - 14*m**2 - 18*m + 14. Let l(w) = -w**3 + w**2 + w - 1. Let d(r) = f*n(r) - 2*l(r). Find u, given that d(u) = 0.
-1, 3/4, 1
Let p(t) be the third derivative of t**7/630 + 61*t**6/270 + 32*t**5/3 + 50*t**4 + 77*t**3/3 + 166*t**2. Let y(h) be the first derivative of p(h). Factor y(m).
4*(m + 1)*(m + 30)**2/3
Factor -7805951*x**3 + 57*x**4 + x**5 - 2*x**5 + 55*x**2 + 7805840*x**3.
-x**2*(x - 55)*(x - 1)**2
Let v = 129 - 643/5. Let d = 8089 - 8087. Solve 32/5 + 16/5*r + v*r**d = 0.
-4
Let u(p) be the second derivative of -11/10*p**5 - 19/6*p**4 - 1/10*p**6 - 9/2*p**3 - 4 - 7/2*p**2 + 1/42*p**7 + 14*p. Factor u(q).
(q - 7)*(q + 1)**4
Let l be 8/(7413/(-24710) - 2/(20/(-103))). Factor 12/5*p - 8/5 - l*p**2.
-4*(p - 2)*(p - 1)/5
Find f, given that -60*f - 257/7*f**2 - 212/7 + 1/7*f**4 - 48/7*f**3 = 0.
-2, -1, 53
Let b(n) = -n**3 + 9*n**2 + 3. Let r be (-104)/(-8) + (-3 - 1). Let i be b(r). Factor -3*l - 3*l + 7*l**i + 18*l**4 + 3*l**2 - 21*l**4 - l**3.
-3*l*(l - 2)*(l - 1)*(l + 1)
Let o(b) be the third derivative of -1/60*b**5 + 9*b**2 - 1/6*b**4 + 0*b + 0 + 5/6*b**3. Factor o(u).
-(u - 1)*(u + 5)
Let y(x) = 5*x**3 + 150*x**2 - 741*x + 1098. Let p(t) = 3*t**3 + 11*t**2. Let o(n) = 2*p(n) - y(n). Solve o(z) = 0.
3, 122
Let q = 128 + -124. Factor 3*y**5 - 570*y**2 + 567*y**2 + 7*y**q - 4*y**4 - 3*y**3.
3*y**2*(y - 1)*(y + 1)**2
Let a(s) = s**3 - 3*s**2 + 12*s - 34. Let c be a(3). Suppose -c*u = 2*d - d + 2, -2*d + 8 = -2*u. Find t, given that 4/13*t - 2/13*t**d + 0 = 0.
0, 2
Suppose -a - 10 = 2*y - 5, 5 = -3*y - a. Let r = 163/1562 + 11/142. Factor 4/11*j**2 + y + r*j**3 + 0*j.
2*j**2*(j + 2)/11
Let x(a) be the second derivative of 157/4*a**5 - 33*a**6 + 0*a**2 + 0 + 135/14*a**7 - 26*a - 55/3*a**4 + 10/3*a**3. Solve x(o) = 0 for o.
0, 2/9, 1
Let 2*t**3 + 1783 - 1718 + 96*t - 97*t**2 + 130*t**2 = 0. What is t?
-13, -5/2, -1
Suppose -2170*w + 2103*w = -268. Factor 54/7*c + 60/7*c**3 + 75/7*c**w + 0 - 153/7*c**2.
3*c*(c + 2)*(5*c - 3)**2/7
Suppose 0 = 4*h - 51 + 179. Let t = h + 35. What is l in 3904*l - 4*l**4 - 3904*l - 2*l**t - 2*l**5 = 0?
-1, 0
Let c(n) be the third derivative of 4/21*n**3 + 0*n - 1/7*n**4 + 53*n**2 + 2/105*n**6 + 1/245*n**7 + 0 - 1/70*n**5. What is y in c(y) = 0?
-2, 1/3, 1
Suppose 1323*j**3 + 2917*j**2 + 7751*j**2 - 2560 - 3092 - 1426 + 2032 + 20271*j = 0. What is j?
-29/7, 2/9
Solve -4830*o**2 - 8877535*o**3 + 8876260*o**3 + 875*o**4 - 126 - 27 + 2380*o + 33 = 0 for o.
-2, 2/35, 2/5, 3
Let x(j) be the third derivative of j**6/1140 - 7*j**5/38 - 433*j**4/228 - 109*j**3/19 - 8144*j**2. Suppose x(b) = 0. Calculate b.
-3, -1, 109
Let b(u) = -u**3 + 2*u**2 - 2*u - 2. Let s be b(-2). Let y = -3 + s. Factor 30 - 195*g**2 - y*g - 40*g + 210*g**2.
5*(g - 3)*(3*g - 2)
Let m(x) be the second derivative of x**4/3 - 2698*x**3/3 - x + 2838. Factor m(j).
4*j*(j - 1349)
What is u in 241*u**4 - 20*u**3 + 240*u**4 - 718*u**4 + 241*u**4 + 12*u**2 + 4*u**5 = 0?
-3, 0, 1
Let d(w) be the third derivative of -2*w**7/105 - 101*w**6/30 - 231*w**5 - 14157*w**4/2 - 47916*w**3 + 41*w**2 - 3*w. Suppose d(v) = 0. Calculate v.
-33, -2
Let z = 28224 - 28222. Factor -9/2*v + 0 + 1/2*v**z.
v*(v - 9)/2
Suppose -3*a + 2*c + 372 = -c, -272 = -2*a - 4*c. Let q = -123 + a. Suppose 2*k**4 - 4*k + 13*k**5 - 6*k**3 - 11*k**5 - q*k**2 - 5*k**2 = 0. Calculate k.
-1, 0, 2
Let w be 483/441 + ((-6)/9 + 1)*-3. Let u(h) be the first derivative of 6/7*h**2 + w*h**3 - 19 - 2*h. Factor u(m).
2*(m - 1)*(m + 7)/7
Let p(a) be the first derivative of 3*a**4/4 - 5*a**3 + 9*a**2/2 + 27*a + 265. Let p(z) = 0. Calculate z.
-1, 3
Find y, given that 6*y - 78*y**2 + 47*y**2 + 29*y**2 = 0.
0, 3
Solve -238*n + 237 - 1/4*n**3 + 241/4*n**2 = 0.
2, 237
Let x(m) be the second derivative of 0 + 0*m**2 + 61*m - 5/6*m**3 + 1/2*m**5 - 5/12*m**4. Factor x(j).
5*j*(j - 1)*(2*j + 1)
Let c(p) be the first derivative of p**4/42 - p**3/21 - 2*p**2/7 - 70*p - 48. Let z(v) be the first derivative of c(v). Find o, given that z(o) = 0.
-1, 2
Suppose 25*n - 27*n = 0, -3*c = -3*n + 63. Let w be (-22 - c) + (2 - (-3)/9). Solve -4/3*x - w - 1/3*x**2 = 0 for x.
-2
Determine o so that -5*o**4 - 325*o + 21*o**2 + 5*o**3 + 19 + 149*o + 11 + 14*o**2 + 111*o = 0.
-3, 1, 2
Let l(w) = w**2 + 95*w - 1163. Let g be l(-106). Let q(r) be the first derivative of r - 26 - 1/24*r**g + 1/8*r**2. Suppose q(n) = 0. Calculate n.
-2, 4
Let h(y) be the first derivative of -y**2 - 13*y + 3. Let z be h(-8). Factor 12 + 57*m**3 + 3*m + 75*m**2 + z*m**5 + 21*m**4 + 18*m - 13*m + 40*m.
3*(m + 1)**3*(m + 2)**2
Let x(m) be the first derivative of -5*m**4/4 + 105*m**3 - 3675*m**2/2 - 42875*m + 3034. Find t, given that x(t) = 0.
-7, 35
Let v = -974 - -413. Let p = -559 - v. Solve s**2 + 0*s + 9/2*s**3 + 0 + 3/2*s**4 - p*s**5 = 0.
-1, -1/4, 0, 2
Let o = 97/560 + 9/80. Let d(n) be the second derivative of -1/6*n**4 - o*n**2 + 0 + 3/7*n**3 + 8*n. Suppose d(p) = 0. Calculate p.
2/7, 1
Let s be 13/15 + (10277/215 - 48). F