 d*u(t) + m(t). Factor i(q).
2*q**2*(q - 1)*(q + 1)**2
Let m(n) be the second derivative of 0*n**3 - 2/15*n**6 + 3/5*n**5 + 6*n**4 - 3*n + 0*n**2 + 5. What is v in m(v) = 0?
-3, 0, 6
Let m(r) be the first derivative of -35*r - 54 - 65/2*r**2 + 5/4*r**4 - 25/3*r**3. Find u, given that m(u) = 0.
-1, 7
Factor 3*a**4 + 111*a**3 + 38*a - 1547 - 2692*a**2 + 1903*a - 4333 + 4006*a**2 + 2511*a.
3*(a - 1)*(a + 10)*(a + 14)**2
Let a be ((-89)/(-51))/((-1157)/(-130) - 9). Let n = -240/17 - a. Factor 1/3*z**2 - n*z + 0.
z*(z - 10)/3
Let p be 152/24 + ((-8)/(-14))/((-10)/105). Factor 4 - t**2 + 4/3*t - p*t**3.
-(t - 2)*(t + 2)*(t + 3)/3
Let v(a) be the third derivative of a**5/60 - 25*a**4/3 + 256*a**3 - 7494*a**2. Solve v(g) = 0.
8, 192
Let j(l) be the first derivative of -2*l**3 + 1/20*l**5 + 5*l**2 - 12 + 0*l + 0*l**4. Let n(f) be the second derivative of j(f). Let n(d) = 0. Calculate d.
-2, 2
Let d(p) be the third derivative of 1/46*p**4 + 7/69*p**3 + 36*p**2 - p - 1/690*p**5 + 0. Factor d(j).
-2*(j - 7)*(j + 1)/23
Suppose 10*f + 93 = 5*o + 148, f - 22 = -5*o. Factor -4/5 + 6/5*v**2 - 6/5*v + 4/5*v**o.
2*(v - 1)*(v + 2)*(2*v + 1)/5
Suppose -3*n - 1306 + 1322 = v, -4*v = 5*n - 36. Let s(o) be the first derivative of -1/2*o**n + 1 - 1/6*o**6 + o - 3/5*o**5 + 2/3*o**3 + 3/2*o**2. Factor s(c).
-(c - 1)*(c + 1)**4
Let g(q) be the third derivative of -q**6/40 + 293*q**5/20 + 589*q**4/8 + 295*q**3/2 + 6*q**2 - 24*q. Factor g(y).
-3*(y - 295)*(y + 1)**2
Determine y, given that -12*y**4 + 0 + 0*y - 8/9*y**3 + 16/3*y**2 + 2*y**5 = 0.
-2/3, 0, 2/3, 6
Let g(t) = 7453*t - 89432. Let q be g(12). Determine f, given that 45/2*f**2 + 27/4*f**3 + 33*f + 3/4*f**q + 18 = 0.
-3, -2
Let r be (-6)/28*17/(1530/(-105)). Suppose -3 = -2*t + 5. Factor 2*x + t + r*x**2.
(x + 4)**2/4
Let m be (1*12)/(-780 - -786). What is c in 0*c + 8/7 - 2/7*c**3 - 6/7*c**m = 0?
-2, 1
Let z(j) be the third derivative of j**5/60 + 17*j**4/8 + 25*j**3/3 + 38*j**2 + 22*j. Determine f, given that z(f) = 0.
-50, -1
Determine p, given that 918*p**2 + 905*p**2 - 71*p**2 - 204*p**2 - 2*p**3 = 0.
0, 774
Let m(s) be the third derivative of -s**7/168 + 5*s**6/72 - s**5/3 + 5*s**4/6 + 21*s**3/2 - 105*s**2. Let x(u) be the first derivative of m(u). Factor x(g).
-5*(g - 2)**2*(g - 1)
Factor 7*m**2 - 141*m**2 - 64*m - 928*m**3 + 30*m**2 + 884*m**3 - 4*m**4.
-4*m*(m + 1)*(m + 2)*(m + 8)
Let t = 6070 + -6055. Let a(j) be the second derivative of -2/21*j**3 - 1/42*j**4 + 0 - t*j - 1/7*j**2. Factor a(c).
-2*(c + 1)**2/7
Let m(q) = 5*q**2 + 2640*q - 58115. Let l(w) = -w**2 - 440*w + 9686. Let f(a) = -35*l(a) - 6*m(a). Factor f(u).
5*(u - 44)**2
Let m(y) = y**2 + 7*y - 6. Let o = -26 - -19. Let h(f) = 2*f + 9. Let c be h(o). Let r(g) = g**2 + 6*g - 5. Let n(q) = c*m(q) + 6*r(q). Factor n(z).
z*(z + 1)
Let l be 0*9*(-39)/(-1755). What is v in 7/2*v**4 + 2*v**3 + 0 + l*v - 3/2*v**2 = 0?
-1, 0, 3/7
Let j(k) be the first derivative of -k**7/735 - k**6/210 + k**5/210 + k**4/42 + 153*k**2/2 - 25. Let v(f) be the second derivative of j(f). Factor v(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/7
Factor -53/4*s**4 - 4 - 34*s - 41*s**3 - 13/8*s**5 - 58*s**2.
-(s + 2)**4*(13*s + 2)/8
Suppose 0 = 5*d - 49 + 269. Let o be (-720)/(-140)*(-42)/d - 4. Find w, given that 4/11*w - 2/11*w**5 + 6/11*w**3 + 0 - o*w**2 + 2/11*w**4 = 0.
-2, 0, 1
Let q(k) be the second derivative of k**6/360 - 101*k**5/60 + 20999*k**4/72 - 20099*k**3/6 + 118803*k**2/8 + 1522*k. Factor q(f).
(f - 199)**2*(f - 3)**2/12
Factor -1444/9*k**2 + 2/9*k**5 + 152*k**3 - 96026/9*k + 100/9*k**4 + 0.
2*k*(k - 7)*(k + 19)**3/9
Let k(j) be the first derivative of 27*j**4/4 + 2464*j**3 + 505119*j**2/2 - 112614*j - 9939. Determine d, given that k(d) = 0.
-137, 2/9
Let q(d) = 7*d**4 - 47*d**3. Let m(s) = -s. Let k be m(-3). Let x(f) = -f**4 + f**3. Let l(j) = k*x(j) + q(j). Solve l(a) = 0 for a.
0, 11
Find b, given that -728*b**2 + 15 + 729*b**2 + 11 + 18 - 8 - 15*b = 0.
3, 12
Let j(z) be the first derivative of -5/8*z - 49 + 1/24*z**3 - 1/4*z**2. Find q such that j(q) = 0.
-1, 5
Factor 15*m - 3*m**4 + 23*m**3 + 29 - 73*m**2 - 11 - 17*m + 35*m + 18*m**2.
-(m - 3)**2*(m - 2)*(3*m + 1)
Let s(c) be the third derivative of c**6/24 + 5*c**5/4 - 55*c**4/8 + 85*c**3/6 - 221*c**2. Determine g so that s(g) = 0.
-17, 1
Let l be (-42)/(-56) + 177/4. Let n = l + -41. Determine d so that -d**5 - 39*d**3 + 41*d**3 + 4*d**n + 4 - d - 3*d**4 - 3 - 2*d**2 = 0.
-1, 1
Suppose 4784*s = -2*k + 4787*s + 24, -4*k + 20 = s. Solve 28*p**3 + 0 + 7/2*p**5 + 51/2*p**4 + 0*p + k*p**2 = 0 for p.
-6, -1, -2/7, 0
Let x(h) be the third derivative of h**8/336 - 67*h**7/630 - 403*h**6/360 + 671*h**5/180 + 5*h**4/3 - 18*h**3 - 6*h**2 + 131*h + 3. Find v such that x(v) = 0.
-6, -2/3, 1, 27
Let x(k) be the third derivative of k**6/120 - 7*k**5/40 - 5*k**3/6 + 86*k**2. Let l(m) be the first derivative of x(m). Factor l(q).
3*q*(q - 7)
Let k(m) be the first derivative of m**3 + 33*m**2 + 63*m + 1295. Factor k(u).
3*(u + 1)*(u + 21)
Let d = -31/232 - -9211/82824. Let k = 2/17 + d. Factor 2/7 + 0*o**3 - k*o**4 + 4/7*o**2 + 16/21*o.
-2*(o - 3)*(o + 1)**3/21
Let u = 606934/9 + -67432. Let 16/9 + 10/9*h**3 - 62/9*h**2 - 20/9*h + u*h**4 + 10/9*h**5 = 0. What is h?
-4, -1, 2/5, 1
Let o(y) be the second derivative of -20*y - y**5 - 4/15*y**6 - 4 + 0*y**3 + 0*y**2 + y**4. Factor o(a).
-4*a**2*(a + 3)*(2*a - 1)
Let 7/3*u**4 + 32/3 - 48*u**2 + 37/3*u**3 + 68/3*u = 0. What is u?
-8, -2/7, 1, 2
Let l(s) = -s**4 - s**3 + s**2 + 1. Let d(c) = -37 - c**2 + 5*c**3 + 28 + 2*c**3 + 8*c**4. Let m(k) = -2*d(k) - 18*l(k). Factor m(q).
2*q**2*(q - 2)*(q + 4)
Let h = 1151 - 645. Suppose h*f = 519*f - 26. Suppose 8/15*j**f - 4/15 - 14/15*j**5 + 28/15*j**3 - 4/15*j**4 - 14/15*j = 0. Calculate j.
-1, -2/7, 1
Suppose 0 = -5*t - 2*f + 14, f = -4*t - 1 + 11. Suppose 14*j - 3*j**3 - 3*j**t + 34*j - 57 - 28 + 25 = 0. What is j?
-5, 2
Let b(q) be the second derivative of -q**6/480 - q**5/240 + q**4/24 + q**3/6 - 29*q**2/2 + 10*q. Let p(c) be the first derivative of b(c). Factor p(k).
-(k - 2)*(k + 1)*(k + 2)/4
Let v be -9 + ((-5 - -6)*-1)/1. Let g(b) = -5*b**2 + 239*b - 2645. Let o(k) = 15*k**2 - 720*k + 7935. Let s(f) = v*g(f) - 3*o(f). Factor s(j).
5*(j - 23)**2
Find r, given that 19*r**2 + r**4 + r**3 + 0*r**4 + 13*r**3 + 5*r**3 + r**3 = 0.
-19, -1, 0
Let k(c) = c**3 + 3*c**2 - c - 1. Let n be k(1). Factor -25*g**3 + 4*g**3 + 59*g**2 + 26*g**n - 4*g**3 - 30*g.
-5*g*(g - 3)*(5*g - 2)
Let h(k) be the first derivative of -9*k**4/4 - 415*k**3 + 833*k**2/2 - 139*k - 456. Suppose h(m) = 0. What is m?
-139, 1/3
Let p(g) be the second derivative of -g**6/2 - 43*g**5/15 - 4*g**4 + 8*g**3/3 - 47*g**2/2 + 2*g + 17. Let u(i) be the first derivative of p(i). Factor u(v).
-4*(v + 1)*(v + 2)*(15*v - 2)
Suppose -7*v - 3058 = -2029. Let x be (56/v)/((-10)/15). Suppose x*b**2 + 4/7*b**3 - 4/7*b - 4/7 = 0. What is b?
-1, 1
Let a(y) be the first derivative of y**7/420 - y**6/48 + y**5/20 + y**4/12 - 9*y**3 + 182. Let o(v) be the third derivative of a(v). Let o(f) = 0. What is f?
-1/4, 2
Let q(v) be the third derivative of v**8/112 - v**7/10 - 17*v**6/40 + 99*v**5/20 + 27*v**4 + 54*v**3 - 94*v**2 + 2*v. Find h, given that q(h) = 0.
-3, -1, 6
Factor -1/3*a**4 + 80/3*a - 8/3*a**3 - 2/3*a**2 + 25.
-(a - 3)*(a + 1)*(a + 5)**2/3
Let a be 2/(-9) + (-114)/(-27). Suppose -y + 25 = y + d, -10 = -2*y + a*d. Determine r so that -y + 0*r**3 + 2*r**3 + 27*r + r**3 - 18*r**2 - 1 = 0.
1, 4
Let y(u) = -2*u**3 - u**2 + 2. Suppose -5*b + 5*f = -50, -24 = -b - 2*f - 8. Let v(q) = 28*q**3 - 16*q**2 + 16*q + 24. Let g(z) = b*y(z) + v(z). Factor g(a).
4*(a - 6)*(a - 2)*(a + 1)
Solve -24/7*w**4 + 12/7*w - 144/7 + 24*w**2 - 9/7*w**3 - 3/7*w**5 = 0 for w.
-6, -4, -1, 1, 2
Suppose 2*i + 2*x = 11 - 15, -5*x - 10 = 0. Solve 5/9*m**4 - 20/9*m**2 + i + 1/9*m**3 - 4/9*m = 0.
-2, -1/5, 0, 2
Let b(a) be the first derivative of -a**5/15 + 15*a**4/4 - 14*a**3/3 - 44*a**2/3 + 2460. Solve b(p) = 0 for p.
-1, 0, 2, 44
Suppose -4/3*f**3 - 992/3*f**2 + 0 - 61504/3*f = 0. What is f?
-124, 0
Let v = 122 + -118. Suppose v*y - 200 = -188. Let -12 + 26 - t - 13 - 2*t - t**y + 3*t**2 = 0. Calculate t.
1
Let f(a) = 9*a**3 + 3*a**2 + a - 1. Let v(b) = -98*b**3 + 1372*b**2 + 494197*b + 492815. Let q(c) = -22*f(c) - 2*v