hat is v in -5*v**m + 2*v**3 - 4*v**3 - v**2 - 12*v - 4*v**2 = 0?
-3, -2, 0
Let m = 167 - 164. Factor 4*w**3 + 31*w**3 - 12*w**2 - 8*w - 10*w**4 - m*w**3 - 2*w**4.
-4*w*(w - 2)*(w - 1)*(3*w + 1)
Let r be (2 + -8)/((-39)/26). Let a(y) = 5*y**3 + 43*y**2 + 70*y + 40. Let i(l) = 30*l**3 + 260*l**2 + 420*l + 240. Let t(q) = r*i(q) - 25*a(q). Factor t(g).
-5*(g + 1)*(g + 2)*(g + 4)
Let w(z) be the first derivative of -5*z**4/8 + 85*z**3/6 - 75*z**2/2 + 2352. Find i such that w(i) = 0.
0, 2, 15
Let v(w) be the second derivative of -1/15*w**6 - 3 - 2/5*w**5 + 46*w + 0*w**4 + 16*w**2 + 16/3*w**3. Determine i so that v(i) = 0.
-2, 2
Suppose -4*v + 4*u + 48 = 0, -4*v + 2*u = u - 33. Suppose -22 = -v*q - 1. Let 4*w + 0*w - 8*w**2 + 0*w**2 - 5*w**q = 0. What is w?
-2, 0, 2/5
Let q be 8 + (1 - 3) + -4. Factor -9880*b**q + 9898*b**2 - b**3 - b**3 + 5*b**3.
3*b**2*(b + 6)
Solve -76*o**4 - 89*o**4 - 2244*o - 1280 + 233*o**4 - 1744*o**2 - 700*o - 80*o**4 - 320*o**3 = 0.
-20, -4, -2, -2/3
What is v in -11*v + 30*v**2 + 306*v - 25*v**2 = 0?
-59, 0
Suppose 0 + 30/7*f**2 - 39/7*f**3 + 96/7*f = 0. Calculate f.
-16/13, 0, 2
Let x(r) be the first derivative of 3*r**3/10 - 41*r**2/4 - 23*r/5 - 3523. Factor x(k).
(k - 23)*(9*k + 2)/10
Let w(j) be the second derivative of -1/6*j**4 + 1/15*j**6 + 0*j**2 - 2 + 7*j + 1/3*j**3 - 1/10*j**5. Factor w(f).
2*f*(f - 1)**2*(f + 1)
Let q(f) be the second derivative of 0 + 55/2*f**3 - 48*f - 25/12*f**4 + 35*f**2. Solve q(h) = 0 for h.
-2/5, 7
Factor -2328482 - 4316/3*k - 2/9*k**2.
-2*(k + 3237)**2/9
Let y(n) be the second derivative of -2*n**6/105 - 26*n**5/7 - 43*n**4/7 - 411*n. Find r, given that y(r) = 0.
-129, -1, 0
Let k(b) = b**2 + 35*b - 2998. Let j be k(40). Factor -6*q**j - 16/7*q**3 - 1/7*q**4 - 40/7*q - 13/7.
-(q + 1)**3*(q + 13)/7
Let m(q) be the third derivative of q**5/390 - 85*q**4/156 + 418*q**3/13 + 7*q**2 - 21*q + 7. Determine b, given that m(b) = 0.
19, 66
Let d(x) be the first derivative of -5*x**6/6 - 82*x**5 - 6245*x**4/4 + 60300*x**3 + 1389960*x**2 - 39424320*x - 5875. Factor d(c).
-5*(c - 13)**2*(c + 36)**3
Let g(l) be the third derivative of l**8/1344 - l**7/126 + 5*l**6/144 - l**5/12 + 37*l**4/24 + 16*l**2. Let d(n) be the second derivative of g(n). Factor d(y).
5*(y - 2)*(y - 1)**2
Let x(o) be the second derivative of -5*o**4/16 - 30775*o**3/24 + 2565*o**2/2 - 123*o + 24. Solve x(g) = 0.
-2052, 1/3
Let t(d) be the third derivative of d**5/30 - 631*d**4/3 + 1592644*d**3/3 - 142*d**2 - 14*d. Suppose t(w) = 0. Calculate w.
1262
Factor 153*a - 3259*a - 5*a**2 - 820125 - 944*a.
-5*(a + 405)**2
Let k be 5/(-25)*(84/9 + -11). Find q, given that 2 + k*q - 1/3*q**2 = 0.
-2, 3
Suppose -5*c = 2*q - 14 - 0, -4*q - 2*c + 12 = 0. Suppose -1485*v**q - 10116 - 3*v**4 - 7423 + 8349*v + 1567 + 111*v**3 = 0. What is v?
4, 11
Let o(k) be the second derivative of 35*k**4/36 - 244*k**3/9 - 14*k**2/3 + 169*k. Factor o(q).
(q - 14)*(35*q + 2)/3
Let q = 485 - 501. Let u be (-22)/(-102) + q/(-136). Let 0 - u*j**2 + j = 0. What is j?
0, 3
Suppose 4*w - 30 = -2*w, -86*r - 18 = -87*r - 3*w. Factor 3/2*k**4 - k + 0 - 13/4*k**3 - 1/4*k**5 + r*k**2.
-k*(k - 2)**2*(k - 1)**2/4
Let m(h) be the first derivative of h**4/14 + 6*h**3 - 405*h**2/7 + 1242*h/7 + 1704. Determine s so that m(s) = 0.
-69, 3
Suppose 1132 = 13*f - 9*f. Determine t so that -82*t + 4*t**2 - 122*t - f + 283 = 0.
0, 51
Suppose -g - n - 475 = 1023, 5*g = 4*n - 7526. Let c = -1492 - g. Solve c*v - 25*v**2 - 4/3 + 125/6*v**3 = 0.
2/5
Determine w so that 15 + 13*w**3 - 45 + 247*w**4 + 31*w**2 - 13*w - 248*w**4 = 0.
-2, -1, 1, 15
Let x be ((-12)/(12 + 0))/(-5). Let w(n) be the second derivative of -1/3*n**3 - 3/50*n**5 - x*n**2 + 0 - 7/30*n**4 - 8*n. Factor w(z).
-2*(z + 1)**2*(3*z + 1)/5
Let a be ((-8)/6 + 182/(-21))/(-2). Let w(q) be the third derivative of 0*q + 0 - 1/60*q**a - 1/4*q**4 - q**2 - 3/2*q**3. Factor w(j).
-(j + 3)**2
Let o(s) be the first derivative of 5*s**6/3 + 43*s**5/5 + 21*s**4/2 + 3*s**3 + 8493. Let o(v) = 0. Calculate v.
-3, -1, -3/10, 0
Factor -1235*w + 4*w**3 + 1166*w + 29*w**3 - 6 - 30*w**2.
3*(w - 2)*(w + 1)*(11*w + 1)
Let w be -5 - 17/(-6 + 5). Suppose 10*f - 8*f - w = 0. Find h, given that -8*h**3 + 6*h**2 - 59*h + 55*h + f*h**3 = 0.
0, 1, 2
Let h = 257 + -255. Solve 2 + 497*o**2 + 20*o - h - 512*o**2 = 0.
0, 4/3
Determine j, given that -975 + 36*j**2 - 28*j - 27*j + 1940 + 16*j**2 + j**3 - 1071 = 0.
-53, -1, 2
Let d(q) = 2*q**2 - 8*q - 17. Let s be d(-2). Suppose 5 = 3*h - s. Find j such that -8 + 6*j + h - 3*j**2 + 13 = 0.
-1, 3
Let s(u) be the first derivative of u**4/3 - u**3/3 - u**2 + 24*u + 18. Let a(x) be the first derivative of s(x). Factor a(v).
2*(v - 1)*(2*v + 1)
Let o = -1990/63 + 246/7. Let d(p) be the first derivative of o*p**3 - 8*p**2 - 9 + 6*p. Find x, given that d(x) = 0.
3/4
Let o(g) be the second derivative of -5/4*g**4 + 2 - 15/2*g**2 + 40*g + 1/8*g**5 + 55/12*g**3. What is h in o(h) = 0?
1, 2, 3
Factor -70306022*c**3 + 70304473*c**3 - 6*c**4 - 3 - 16641*c - 100104*c**2 + 3.
-c*(c + 129)**2*(6*c + 1)
Let n(r) = -r**3 - 19*r**2 - 17*r + 21. Let s be n(-18). Suppose 5*k - s = 7. Factor -3*q**2 - 32 + 29*q**2 + 24*q**2 - 44*q**3 + 118*q**k - 144*q.
-4*(q - 2)**2*(11*q + 2)
Let v be 5 + (-8)/(-2108)*(-158108)/120. Let k = v - -632414/55335. Factor 4/7*l**2 + k*l + 400/7.
4*(l + 10)**2/7
Let x = 142288/5 + -28073. Let d = -384 + x. Solve 3/5*m**2 + d*m + 0 = 0 for m.
-1, 0
Let c = -190 - -216. Determine w, given that 201*w - c - w**3 + 12 - 16*w**2 - 230*w = 0.
-14, -1
Factor -164119*w**2 + 81990*w**2 + 82044*w**2 + 5 + 80*w.
-5*(w - 1)*(17*w + 1)
Let x(a) be the second derivative of -a**6/8 + 7*a**5/8 - 65*a**4/48 - 5*a**3/4 + 3*a - 364. Suppose x(b) = 0. What is b?
-1/3, 0, 2, 3
Let s = 356 - 298. Suppose -66 + 40 - 50 + 3*y**2 - s + 14 + 54*y = 0. What is y?
-20, 2
Let u = -236523/5 - -47307. Factor -8/5 - u*j + 4/5*j**2 + 12/5*j**3 + 4/5*j**4.
4*(j - 1)*(j + 1)**2*(j + 2)/5
Let j(f) be the second derivative of 122*f + 9/5*f**2 + 0 - 13/6*f**3 + 7/60*f**4. Determine z so that j(z) = 0.
2/7, 9
Let p(z) = z - 1. Let h be p(6). Suppose 14 = 28*s - 21*s. Determine n, given that -h*n - 12*n**s + 4*n**3 + 24*n**2 - 5*n - 12 + 6*n = 0.
-3, -1, 1
Let f(g) be the third derivative of -g**6/40 - 17*g**5/20 - 13*g**4/2 - 284*g**2 - 3*g. Factor f(b).
-3*b*(b + 4)*(b + 13)
Suppose 75*x - l + 4 = 77*x, 2*x - 5*l + 8 = 0. Factor -x + 21/5*y - 4/5*y**2.
-(y - 5)*(4*y - 1)/5
Let m be (((-110)/70)/(-11))/(8/264). Factor 4/7 + m*l**2 - 8*l**3 + 16/7*l**4 + 4*l.
(l - 2)**2*(4*l + 1)**2/7
Let -1/8*r**2 + 281/8*r - 345/2 = 0. What is r?
5, 276
Suppose -11*d + 624 = -50*d. Let l be 3 + (512/24)/d. Let 1/3*q**2 + 4/3 + l*q = 0. Calculate q.
-4, -1
Let q(u) = -8*u**2 - 7292*u - 6544. Let p(z) = 3*z**2 + 2430*z + 2168. Let b(s) = -20*p(s) - 7*q(s). Suppose b(x) = 0. What is x?
-1, 612
Let g(v) be the first derivative of -v**5/3 + 25*v**4/12 - 25*v**3/9 - 25*v**2/6 + 10*v + 1917. Suppose g(u) = 0. Calculate u.
-1, 1, 2, 3
Let b(d) be the third derivative of 0*d + 0 - 1/12*d**5 + 5/3*d**3 - 5*d**2 + 5/24*d**4. Suppose b(w) = 0. What is w?
-1, 2
Let f = 23396/9549 + -6/1061. Let g = -7/3 + f. Suppose g*k**3 + 0 - 4/9*k**2 + 4/9*k = 0. What is k?
0, 2
Let 7535*k**2 - 27744 + 2715*k**2 + 3*k**4 - 13056*k + 4024*k**2 - 411*k**3 = 0. Calculate k.
-1, 2, 68
Suppose -1300*n + 1309*n = 0. Let x(v) be the third derivative of -1/270*v**5 + 28*v**2 + 0*v**3 + n*v - 1/54*v**4 + 0 + 1/540*v**6. What is f in x(f) = 0?
-1, 0, 2
Let q(c) = -11*c**2 + 550*c + 1060. Let g(h) = -7*h**2 + 275*h + 530. Let d(p) = -7*g(p) + 4*q(p). Find i, given that d(i) = 0.
-53, -2
Let v = 11896/237 + -3860/79. Find h such that 0 + 0*h - 1/6*h**5 + v*h**3 + 0*h**2 + 7/6*h**4 = 0.
-1, 0, 8
Factor 25793142*p**2 + 140*p + 310*p - 25793140*p**2 - 452.
2*(p - 1)*(p + 226)
Let 2*w**2 + 375141*w + 3 - 3 - 375295*w = 0. Calculate w.
0, 77
Let s(v) be the first derivative of v**6/160 - v**5/80 - v**4/8 + v**3/2 - 5*v**2 + 65. Let q(r) be the second derivative of s(r). Find n such that q(n) = 0.
-2, 1, 2
Let u(m) = m**3 - 9*m**2 + 3*m - 21. Let y be u(9). Let a(p) = -4*p**2 - 374*p + 3226. Let b(z) = -z**2 - 75*z + 645. Let d(h) = y*a(h) - 28*b(h). Factor d(x).
4*(x - 18)**2
Factor -7148*g + g**2