*2.
-2*(t - 1)**2/9
Let v(g) = -g**3 - g + 2. Let h(z) = -25*z**3 - 74*z**2 - 39*z + 6. Let m(d) = d**2 - 24*d + 107. Let j be m(18). Let b(s) = j*v(s) - h(s). Factor b(q).
2*(q + 1)*(q + 2)*(13*q - 2)
Let i(r) = -5*r**2 + 17*r - 64. Let u(k) = k**2 + 1. Let n(s) = -i(s) - 4*u(s). Let n(j) = 0. Calculate j.
5, 12
Let s(y) be the first derivative of 5*y**4/12 - 124*y**3/9 - 218*y**2/3 - 112*y + 207. Determine z, given that s(z) = 0.
-2, -6/5, 28
Let o = -164605/2 - -82304. Suppose -5*d**2 + 27/4*d - 1/2*d**3 - 5/2 + o*d**4 - 1/4*d**5 = 0. What is d?
-2, 1, 5
Let h(f) be the third derivative of -21/160*f**6 + 19/80*f**5 + 0*f**3 - 1/448*f**8 + 117*f**2 + 9/280*f**7 - f + 0 - 3/16*f**4. Factor h(j).
-3*j*(j - 6)*(j - 1)**3/4
Let b(u) = u**4 - u**2 + 1. Let k(t) = -t**5 - t**4 + t**3 + t**2 - 3. Let y = 1 + 6. Let r = y - 9. Let s(v) = r*k(v) - 6*b(v). Solve s(p) = 0 for p.
-1, 0, 1, 2
Let v(j) = 9*j + 110. Let z be v(-12). Let m be (2715/306 + (-2)/12)/z. Factor -20/17*w**3 + 72/17 + m*w**2 + 2/17*w**4 - 120/17*w.
2*(w - 3)**2*(w - 2)**2/17
Let p be (-10)/84 + 460/1610. Factor 0*f + p*f**3 + 0 - 2/3*f**2.
f**2*(f - 4)/6
Let m be ((-16)/8 + (-2)/(-4))*-6. Factor 7*q**2 + 11*q - 8*q - 4*q**2 + 15*q + m*q + 24.
3*(q + 1)*(q + 8)
Determine m, given that 124 - 458*m - 343 + 91*m**2 - 92*m**2 - 238 = 0.
-457, -1
Let o(f) be the second derivative of f**6/10 + 3*f**5/2 + 23*f**4/4 + 7*f**3 - 354*f. Factor o(u).
3*u*(u + 1)*(u + 2)*(u + 7)
Let k(t) be the second derivative of -17*t**3/6 - 8*t**2 + 15*t. Let b be k(-2). Factor -6*s - 5*s**2 - 9 - 6*s**2 - 8*s**2 + b*s**2.
-(s + 3)**2
Let w(k) = -17*k - 37. Let u be w(-4). Factor -39 - 7 - u + 142*c - 228*c - 7 - 2*c**2.
-2*(c + 1)*(c + 42)
Let i be (70/(-30)*(12 + -5) - -12) + 5. Determine u so that 22/3*u**4 - 8/3*u**5 + 0 + 2/3*u**2 - 6*u**3 + i*u = 0.
-1/4, 0, 1
Find f such that 299 + 1345*f**2 - 4868*f**3 + 581 + 4883*f**3 + 2210*f = 0.
-88, -1, -2/3
Let u(w) be the first derivative of -w**3 - 153*w**2/2 - 924*w - 2521. Factor u(s).
-3*(s + 7)*(s + 44)
Factor -62*x**3 + 84*x**2 + 0*x**5 - 51*x**3 - 3*x**5 + 19*x**4 + 17*x**4 - 27*x + 23*x**3.
-3*x*(x - 9)*(x - 1)**3
Let v(x) be the third derivative of -x**6/60 + 249*x**5/10 - 62*x**4 - 1492*x**3/3 - x**2 - x + 184. Solve v(u) = 0 for u.
-1, 2, 746
Suppose 0 = g - 2*o + o - 6, -o = 4. Find k such that -48*k + 16 + 106*k**g - 24*k**3 + 4*k**4 + 131*k**2 - 185*k**2 = 0.
1, 2
Let f(z) = z + 7. Let k be f(-5). Let j be (384/(-72))/(0 + k/(-3)). Determine v, given that 133*v**2 + 15*v**2 - j*v**3 - 20*v**3 - 60*v + 20*v = 0.
0, 2/7, 5
Let v(u) = 4*u - 703*u**3 + 4 + 702*u**3 - 7*u**2 - 10*u. Let b be v(-6). Let b*i + 41*i**2 - 16*i**2 - 36*i**2 = 0. Calculate i.
0, 4/11
Let l(t) be the third derivative of -t**6/120 + 8*t**5/15 + 17*t**4/6 + 764*t**2. Determine c so that l(c) = 0.
-2, 0, 34
Let o(j) be the first derivative of -3*j**5/20 - j**4/4 + j**3 - 116*j - 101. Let i(m) be the first derivative of o(m). Factor i(w).
-3*w*(w - 1)*(w + 2)
Factor -387*n**2 - 72900/7 + 15/7*n**3 + 123120/7*n.
3*(n - 90)**2*(5*n - 3)/7
Suppose 0 = 83*p - 78*p - 195. Suppose 36*r = 49*r - p. Factor 2/11*d**4 + 0*d**r + 0*d + 0 - 2/11*d**2.
2*d**2*(d - 1)*(d + 1)/11
Let r = 653261/3 + -217751. Solve -8/3*t + 8/3*t**3 + r - 2*t**2 - 2/3*t**4 = 0 for t.
-1, 1, 2
Solve -25 + 255*m**4 + 13*m**3 + 43*m**5 + 2*m**5 + 22*m**3 - 155*m - 230*m**2 + 75*m**3 = 0 for m.
-5, -1, -1/3, 1
Let l be -1*(23 - (-279)/(-12)). Factor -l*v**2 - 16 - 4*v.
-(v + 8)**2/4
Let q(r) be the third derivative of r**8/280 + 31*r**7/350 + 9*r**6/20 - 193*r**5/100 + 7*r**4/4 - 2*r**2 + 2434. Solve q(h) = 0.
-10, -7, 0, 1/2, 1
Suppose -4*j + 8 = -2*j. Let b(s) = -6*s - 7. Let h be b(-2). Factor 4*l**j - 14*l**2 + l**4 + 10 + 5*l**3 - h*l - l**2.
5*(l - 1)**2*(l + 1)*(l + 2)
Factor -350 - 171/2*g + 1/2*g**2.
(g - 175)*(g + 4)/2
Let z = -22 - -26. Suppose 2*h - 6*h = i + 9, -z*i = -5*h - 48. Find t such that 0 - 14*t**5 - 5*t**4 - 9*t**3 + 0 - i*t**2 - 2*t + 13*t**5 = 0.
-2, -1, 0
Let n(k) = -12*k - 155. Let z be n(-15). Let m(p) = -20*p**4 + 10*p**2 + 10*p. Let i(w) = -w**4 + w**3 - w**2 + w. Let l(h) = z*i(h) - m(h). Factor l(b).
-5*b*(b - 3)*(b - 1)**2
Let r(c) = -2*c**2 - 112*c - 1458. Let h(a) = 75*a + 68*a - 215*a + 70*a. Let t(w) = 4*h(w) - 2*r(w). Solve t(i) = 0 for i.
-27
Let l(y) be the first derivative of 2*y**6 + 48*y**5/5 - 105*y**4/4 - 131*y**3 + 168*y**2 + 588*y - 12144. Solve l(r) = 0.
-7/2, -1, 2
Let w(k) be the first derivative of 2*k**3/33 - 4*k**2/11 - 30*k - 746. Factor w(f).
2*(f - 15)*(f + 11)/11
Let v = -713/13 + 55. Let b be (4920 + -4881)*(-2 + (-54)/(-26)). What is p in 0*p**2 + v*p**4 + 0*p - 4/13*p**b + 0 = 0?
0, 2
Let d(t) be the first derivative of 0*t**2 + 27 + 2*t**3 + 0*t**4 - 3/20*t**5 - 36*t. Let g(x) be the first derivative of d(x). Suppose g(f) = 0. Calculate f.
-2, 0, 2
Let n = 25 + -47. Let c = -18 - n. What is j in -3*j**5 - 11 - 3*j**c + 5 - 6*j**2 - 10*j + 15*j**4 - 12*j**3 + 25*j = 0?
-1, 1, 2
Let p be (3/7)/(4158/1078). Let g(r) be the first derivative of -p*r**4 - 13 + 2/9*r**2 + 4/9*r - 4/27*r**3. Suppose g(u) = 0. What is u?
-1, 1
Suppose 4*s - 5*v = -2, 6 = 2*s + 5*v - 4*v. Let 0 + 1/5*z**5 + 0*z**s - 1/5*z**4 + 0*z + 0*z**3 = 0. Calculate z.
0, 1
Let l(p) be the first derivative of -2/25*p**5 + 8/15*p**3 + 33 + 1/30*p**6 - 3/20*p**4 + 0*p - 2/5*p**2. Factor l(n).
n*(n - 2)*(n - 1)**2*(n + 2)/5
Let b(m) be the third derivative of m**6/180 - 7*m**5/90 + 7*m**4/36 + 5*m**3/3 - 85*m**2 + 3*m. Factor b(f).
2*(f - 5)*(f - 3)*(f + 1)/3
Let f = -40 - -41. Let h be f*(-25)/(-5)*359. Factor 8*k - h - 20*k**2 + 1795 + 16*k**3 - 4*k**4.
-4*k*(k - 2)*(k - 1)**2
Let n = 607131 + -4249851/7. Factor -18/7*s**4 - 10*s**2 + 0 + 24/7*s - 2/7*s**5 + n*s**3.
-2*s*(s - 1)**3*(s + 12)/7
Suppose -4*a = -5*z + 8, 2*z - 15 = -2*a - 1. Let o(h) = -7167*h + 43004. Let w be o(6). Solve -18/11*i + 0 - 24/11*i**a - 42/11*i**w = 0 for i.
-1, -3/4, 0
Let g = 624 + -619. Suppose 104*h**4 - 18*h**g - 45*h**5 - 63*h**3 - 9*h**2 + 25*h**4 + 6*h = 0. Calculate h.
-2/7, 0, 1/3, 1
Let m(g) = -7*g + 123. Let c be m(17). Let -77*b - 33*b**c - 50 - 5*b**5 + 92*b - 9*b**3 + 80*b**2 - b**3 + 3*b**4 = 0. What is b?
-5, -2, -1, 1
Find j, given that 1165*j**2 + 780 + 1374*j**2 + 215*j - 2534*j**2 = 0.
-39, -4
Let c(a) be the third derivative of 7*a**7/120 - 14*a**6/15 - 146*a**5/15 + 160*a**4 + 2400*a**3 - 4127*a**2. Factor c(i).
(i + 4)**2*(7*i - 60)**2/4
Let b(s) be the first derivative of -3*s**5/40 - 75*s**4/32 - 143*s**3/8 + 507*s**2/16 + 1921. Suppose b(h) = 0. Calculate h.
-13, 0, 1
Let d(y) be the second derivative of -8/9*y**3 - 1 - 1/9*y**4 + 21*y - 2*y**2. Suppose d(a) = 0. What is a?
-3, -1
Let g(k) be the first derivative of -76*k**5/25 + 174*k**4/5 - 1172*k**3/15 + 84*k**2/5 - 6393. Suppose g(f) = 0. What is f?
0, 3/19, 2, 7
Let f(b) be the second derivative of b**6/180 - 13*b**5/90 + 23*b**4/36 - 11*b**3/9 + 24*b**2 - 2*b + 19. Let h(w) be the first derivative of f(w). Factor h(p).
2*(p - 11)*(p - 1)**2/3
Let y(s) be the second derivative of 27*s**5/100 + 187*s**4/20 - 21*s**3/5 - 2830*s. Suppose y(p) = 0. Calculate p.
-21, 0, 2/9
Let b(o) = o**3 + 23*o**2 - 25*o - 24. Let p be b(-24). Let t(l) be the second derivative of -3/100*l**5 - 1/5*l**4 + 0 + p*l**2 - 24*l + 0*l**3. Factor t(w).
-3*w**2*(w + 4)/5
Let k be -2*(192/(-27) + 7). Let a = 1727 - 5179/3. Find g, given that -2/9*g**4 - k*g**3 - 4/9 + a*g**2 + 2/9*g = 0.
-2, -1, 1
Let l(g) be the second derivative of g**5/5 - 17*g**4/3 + 140*g**3/3 - 532*g - 4. Factor l(a).
4*a*(a - 10)*(a - 7)
Let d(n) = -93*n - 134. Let z be d(3). Let w = z + 417. Factor -3/5*k**2 + 3/5*k**3 + 3/5*k**w - 3/5*k + 0.
3*k*(k - 1)*(k + 1)**2/5
Let o(y) be the second derivative of -y**3 + 63*y**2 - 18*y - 3. Let r be o(21). Factor 0*m + 0 + 1/8*m**2 + r*m**3 - 1/8*m**4.
-m**2*(m - 1)*(m + 1)/8
Let a = -59686 + 59688. Factor -18/11*x + 2*x**a - 4/11.
2*(x - 1)*(11*x + 2)/11
Let o(k) be the second derivative of k**4/20 + 31*k**3 + 927*k**2/10 - 1674*k. Determine m, given that o(m) = 0.
-309, -1
Let d = 2789/9415 - 72/269. Let h(v) be the second derivative of 0 - 5/21*v**4 - 16/21*v**3 - d*v**5 + 14*v - 8/7*v**2. Determine b, given that h(b) = 0.
-2, -1
Let l(p) be 